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SPIRES-BOOKS: FIND KEYWORD CONVEX AND DISCRETE GEOMETRY *END*INIT* use /tmp/qspiwww.webspi1/24106.1 QRY 131.225.70.96 . find keyword convex and discrete geometry ( in books using www Cover
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Call number:9783319517537:ONLINE Show nearby items on shelf
Title:Extended Abstracts Summer 2015 Strategic Behavior in Combinatorial Structures Quantitative Finance
Author(s):
Date:2017
Size:1 online resource (VI, 139 p. 5 illus., 3 illus. in color p.)
Contents:Part-I -- Foreword -- On the Push & Pull Protocol for Rumour Spreading -- Random Walks that Find Perfect Objects and the Lovasz Local Lemma -- Logit Dynamics with Concurrent Updates for Local Interaction Games -- Logit Dynamics with
Concurrent Updates for Local Interaction Games -- Carpooling in Social Networks -- Who to Trust for Truthful Facility Location? -- Metric and Spectral Properties of Dense Inhomogeneous Random Graphs -- On-Line List Colouring of Random
Graphs -- Approximation Algorithms for Computing Maximin Share Allocations -- An Alternate Proof of the Algorithmic Lovász Local Lemma -- Learning Game-Theoretic Equilibria via Query Protocols -- The Lower Tail: Poisson Approximation
Revisited -- Population Protocols for Majority in Arbitrary Networks -- The Asymptotic Value in Finite Stochastic Games -- Almost All 5-Regular Graphs Have a 3-Flow -- Part-II -- Foreword -- On the Short-Time Behaviour of the Implied
Volatility Skew for Spread Options and Applications -- An Alternative to CARMA Models via Iterations of Ornstein-Uhlenbeck Processes -- Euler-Poisson Schemes for Levy Processes -- On Time-Consistent Portfolios with Time-Inconsistent
Preferences -- A Generic Decomposition Formula for Pricing Vanilla Options under Stochastic Volatility Models -- A Highly Efficient Pricing Method for European-Style Options Based on Shannon Wavelets -- A New Pricing Measure in the
Barndor-Nielsen-Shephard Model for Commodity Markets
ISBN:9783319517537
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Dynamics , Ergodic theory , Differential equations , Actuarial science , Convex geometry , Discrete geometry , Probabilities , Combinatorics , Mathematics , Combinatorics , Ordinary Differential Equations , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry , Probability Theory and Stochastic Processes , Actuarial Sciences
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Call number:SPRINGER-2016-9789811009167:ONLINE Show nearby items on shelf
Title:Geometry of Cauchy-Riemann Submanifolds
Author(s):
Date:2016
Size:1 online resource (390 p.)
Note:10.1007/978-981-10-0916-7
Contents:Chapter 1. CR-warped submanifolds in Kaehler manifolds -- Chapter 2. CR Submanifolds and -invariants -- Chapter 3. CR Submanifolds of the nearly Kahler 6-sphere -- Chapter 4. CR submanifolds of Hermitian manifolds and the tangential C-R equations - - Chapter 5. CR Submanifolds in (l.c.a.) Kaehler and S-manifolds -- Chapter 6. Lorentzian geometry and CR submanifolds -- Chapter 7. Submanifolds in holomorphic statistical manifolds -- Chapter 8. CR Submanifolds in complex and Sasakian space forms -- Cha pter 9. CR-Doubly warped product submanifolds -- Chapter 10. Ideal CR submanifolds -- Chapter 11. Submersions of CR submanifolds -- Chapter 12. CR Submanifolds of semi-Kaehler manifolds -- Chapter 13. Paraquaternionic CR submanifolds
ISBN:9789811009167
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Convex geometry , Discrete geometry , Differential geometry , Mathematical physics , Mathematics , Differential Geometry , Mathematical Physics , Convex and Discrete Geometry
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Call number:SPRINGER-2016-9784431561040:ONLINE Show nearby items on shelf
Title:Mathematical Challenges in a New Phase of Materials Science Kyoto, Japan, August 2014
Author(s):
Date:2016
Size:1 online resource (21 p.)
Note:10.1007/978-4-431-56104-0
ISBN:9784431561040
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 166
Keywords: Mathematics , Dynamics , Ergodic theory , Partial differential equations , Convex geometry , Discrete geometry , Physics , Mathematics , Partial Differential Equations , Mathematical Methods in Physics , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry
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Call number:SPRINGER-2016-9783319335728:ONLINE Show nearby items on shelf
Title:Open Problems in the Geometry and Analysis of Banach Spaces
Author(s): Antonio J Guirao
Date:2016
Size:1 online resource (169 p.)
Note:10.1007/978-3-319-33572-8
Contents:Preface -- Basic linear structure -- Basic linear geometry -- Biorthogonal systems -- Smoothness, smooth approximation -- Nonlinear geometry -- Some more nonseparable problems -- Some applications -- Bibliography -- List of concepts and problems -- Symbol index -- Subject index.
ISBN:9783319335728
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Functional analysis , Measure theory , Convex geometry , Discrete geometry , Algebraic topology , Mathematics , Functional Analysis , Approximations and Expansions , Measure and Integration , Convex and Discrete Geometry , Algebraic Topology
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Call number:SPRINGER-2016-9783319281865:ONLINE Show nearby items on shelf
Title:Convexity and Discrete Geometry Including Graph Theory Mulhouse, France, September 2014
Author(s):
Date:2016
Size:1 online resource (39 p.)
Note:10.1007/978-3-319-28186-5
Contents:Introduction -- PART I Research Articles. Marcus: Tudor Zamfirescu: from convex to magic -- Yuan: Acute Triangulations of Rectangles, with Angles Bounded Below -- Skupien: Multi-compositions in exponential counting of hypohamiltonian snarks -- Shabb ir & T. Zamfirescu: Hamiltonicity in k-tree-Halin graphs -- Schneider: Reflections of planar convex bodies -- Rouyer: Steinhaus conditions for convex polyhedra -- Riviere: About the Hausdorff dimension of the set of endpoints of convex surfaces -- Prunesc u: About a surprising computer program of Matthias Müller -- Oliveros, Martinez & Montejano: Extremal results on intersection graphs of boxes in R^d -- Massé, Euler & Lemarchand: On the connected spanning cubic subgraph problem -- Kincses: On the Helly dimension of Hanner polytopes -- Itoh & Ohtsuka: Classification of normal 2-polyhedra of positive constant curvature -- Heppes & Jeronimo-Castro: T(4) families ofϕ-disjoint ovals -- Fruchard & Magazinov: Fair partitioning by straight lines --
Filip & Petrusel: Fixed point theorems for multivalued Zamfrescu operators in convex Kasahara spaces -- Et-Taoui: Complex conference matrices, complex Hadamard matrices and complex equiangular tight frames -- Chevallier, Fruchard & Vilcu: Envelopes of α-sections -- Bokowski & al.: Selected open and solved problems in computational synthetic geometry -- Bau: Reductions of 3-connected quadrangulations of the sphere -- Barany & Por: Paths on the sphere without small angles -- PART II Open Problem Note s. Zamfirescu T.: Two problems on cages for discs -- Zamfirescu Carol T.: Seven problems on hypohamiltonian and almost hypohamiltonian graphs -- Vilcu & Zamfirescu: Six problems on the length of the cut locus -- Simoes-Pereira: Existence Problems for Matr oidal Families -- Funar: Cubical Pachner moves -- Eckhoff: Problems in Discrete Geometry -- Chevallier & Fruchard: What is the minimal cardinal of a family which shatters all d-subsets of a finite set? -- Baskoro: Some open problems of Ramsey
minimal graphs.
ISBN:9783319281865
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 148
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Convex geometry , Discrete geometry , Combinatorics , Graph theory , Mathematics , Convex and Discrete Geometry , Graph Theory , Combinatorics , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319270760:ONLINE Show nearby items on shelf
Title:Surfaces in Classical Geometries A Treatment by Moving Frames
Author(s): Gary R Jensen
Date:2016
Size:1 online resource (61 p.)
Note:10.1007/978-3-319-27076-0
Contents:1. Introduction -- 2. Lie Groups -- 3. Theory of Moving Frames -- 4. Euclidean Geometry -- 5. Spherical Geometry -- 6. Hyperbolic Geometry -- 7. Complex Structure -- 8. Minimal Immersions in Euclidean Space -- 9. Isothermic Immersions -- 10. The Bo nnet Problem -- 11. CMC 1 Surfaces in H3 -- 12. Möbius Geometry -- 13. Complex Structure and Möbius Geometry -- 14. Isothermic Immersions in Möbius Space -- 15. Lie Sphere Geometry -- Solutions to Select Problems -- References -- Index
ISBN:9783319270760
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Convex geometry , Discrete geometry , Differential geometry , Mathematics , Differential Geometry , Convex and Discrete Geometry
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Call number:SPRINGER-2016-9783319242989:ONLINE Show nearby items on shelf
Title:Recent Trends in Combinatorics
Author(s):
Date:2016
Size:1 online resource (14 p.)
Note:10.1007/978-3-319-24298-9
Contents:Section 1: Extremal and Probabilistic Combinatorics -- Problems Related to Graph Indices in Trees -- The edit distance in graphs: methods, results and generalizations -- Repetitions in graphs and sequences -- On Some Extremal Problems for Cycles in Graphs -- A survey of Turan problems for expansions -- Survey on matching, packing and Hamilton cycle problems on hypergraphs -- Rainbow Hamilton cycles in random graphs and hypergraphs -- Further applications of the Container Method -- Independent transv ersals and hypergraph matchings - an elementary approach -- Giant components in random graphs -- Infinite random graphs and properties of metrics -- Nordhaus-Gaddum Problems for Colin de Verdière Type Parameters, Variants of Tree-width, and Related Param eters -- Algebraic aspects of the normalized Laplacian -- Poset-free Families of Subsets.- Mathematics of causal sets -- Section 2: Additive and Analytic Combinatorics -- Lectures on Approximate groups and Hilbert's 5th Problem -- Character
sums and arithmetic combinatorics -- On sum-product problem -- Ajtai-Szemerédi Theorems over quasirandom groups -- Section 3: Enumerative and Geometric Combinatorics -- Moments of orthogonal polynomials and combinatorics -- The combinatorics of kno t invariants arising from the study of Macdonald polynomials -- Some algorithmic applications of partition functions in combinatorics -- Partition Analysis, Modular Functions, and Computer Algebra -- A survey of consecutive patterns in permutations -- Uni modality Problems in Ehrhart Theory -- Face enumeration on simplicial complexes -- Simplicial and Cellular Trees -- Parametric Polyhedra with at least k Lattice Points: Their Semigroup Structure and the k-Frobenius Problem.- Dynamical Algebraic Combinator ics and the Homomesy Phenomenon
ISBN:9783319242989
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:The IMA Volumes in Mathematics and its Applications: 159
Keywords: Mathematics , Dynamics , Ergodic theory , Functional analysis , Convex geometry , Discrete geometry , Combinatorics , Biomathematics , Mathematics , Combinatorics , Convex and Discrete Geometry , Dynamical Systems and Ergodic Theory , Functional Analysis , Genetics and Population Dynamics
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Call number:SPRINGER-2013-9788847028418:ONLINE Show nearby items on shelf
Title:Geometric Properties for Parabolic and Elliptic PDE's [electronic resource]
Author(s): Rolando Magnanini
Shigeru Sakaguchi
Angelo Alvino
Date:2013
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understoodquite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad andwell-established research area, with contributions tha t often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name afew. This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulatingfuture developments and perspectives in this very active area of research
Note:Springer eBooks
Contents:Goro Akagi, Stability and instability of group invariant asymptotic profiles for fast diffusion equations
Elvise Berchio, A family of Hardy
Rellich type inequalities involving the L2
norm of the Hessian matrices
Massimiliano Bianchini and Paolo Salani, Power concavity for solutions of nonlinear elliptic problems in convex domains
Lorenzo Brasco and Rolando Magnanini, The heart of a convex set
Giulio Ciraolo, A viscosity equation for minimizers of a class of very degenerate elliptic functionals
Adele Ferone, Kato's inequality in the half space: an alternative proof and relative i
ISBN:9788847028418
Series:e-books
Series:SpringerLink (Online service)
Series:Springer INdAM Series, 2281-518X : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Differential equations, partial , Discrete groups , Global differential geometry , Mathematical optimization
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Call number:SPRINGER-2013-9783319002002:ONLINE Show nearby items on shelf
Title:Discrete Geometry and Optimization [electronic resource]
Author(s): Karoly Bezdek
Antoine Deza
Yinyu Ye
Date:2013
Publisher:Heidelberg : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplaybetween these subjects. Th e purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in September 2011 at the Fields Institute, Toronto, was to furtherstimulate the interaction between geometers and optimizers. This volume reflects the interplay between these areas. The inspiring Fejes Tth Lecture Series, delivered by Thomas Hales of the University of Pittsburgh, exemplified thisapproach. While these fields have recently witnessed a lot of activity a nd successes, many questions remain open. For example, Fields medalist Stephen Smale stated that the question of the existence of a strongly polynomial timealgorithm for linear optimization is one of the most important unsolved problems at the beginning o f the 21st century. The broad range of topics covered in this volume demonstrates the many recent and fruitful connections betweendifferent approaches, and features novel results and state-of-the-art surveys as well as open problems
Note:Springer eBooks
Contents:Preface
Discrete Geometry in Minkowski Spaces (Alonso, Martini, and Spirova)
Engineering Branch
and
Cut Algorithms for the Equicut Program (Anjos, Liers, Pardella, and Schmutzer)
An Approach to the Dodecahedral Conjecture Based on Bounds for Spherical Codes (Anstreicher)
On Minimal Tilings with Convex Cells Each Containing a Unit Ball (Bezdek)
On Volumes of Permutation Polytopes (Burggraf, De Loera, and Omar)
Monotone Paths in Planar Convex Subdivisions and Polytopes (Dumitrescu, Rote, and Toth)
Complexity of the Positive Semidefinite Matrix Completion Problem with a Rank
ISBN:9783319002002
Series:e-books
Series:SpringerLink (Online service)
Series:Fields Institute Communications, 1069-5265 : v69
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups
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Call number:SPRINGER-2013-9781461481188:ONLINE Show nearby items on shelf
Title:Lectures on Sphere Arrangements the Discrete Geometric Side [electronic resource]
Author(s): Kroly Bezdek
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph gives a short introduction to parts of modern discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate andearly graduate stude nts, as well as interested researchers. It contains 30 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for aone-semester advanced undergraduate or grad uate level course. The core of this book is based on three lectures given by the author at the Fields Institute during the thematic program on Discrete Geometry and Applications andcontains four basic topics. The first two deal with active areas that hav e been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection tonumber theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The thirdmajor topic can be found under the sections on ball-polyhedra that study the possibility of extending the theory of co nvex polytopes to the family of intersections of congruent balls. This section of the text is connected in many waysto the above-mentioned major topics as well as to some other important research areas such as that on coverings by planks (with close ties to geometric analysis). The fourth basic topic is discussed under covering balls by cylinders.
Note:Springer eBooks
Contents:1. Unit Sphere Packings
2. Proofs on Unit Sphere Packings
3. Contractions of Sphere Arrangements
4. Proofs on Contractions of Sphere Arrangements
5. Ball
Polyhedra and Spindle Convex Bodies
6. Proofs on Ball
Polyhedra and Spindle Convex Bodies
7. Coverings by Cylinders
8. Proofs on Coverings by Cylinders
9. Research Problems
an Overview
Glossary
References
ISBN:9781461481188
Series:e-books
Series:SpringerLink (Online service)
Series:Fields Institute Monographs, 1069-5273 : v32
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups
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Call number:SPRINGER-2013-9781461464068:ONLINE Show nearby items on shelf
Title:Asymptotic Geometric Analysis [electronic resource] : Proceedings of the Fall 2010 Fields Institute Thematic Program
Author(s): Monika Ludwig
Vitali D Milman
Vladimir Pestov
Nicole Tomczak-Jaegermann
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as thedimension tends to inf inity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and mathematical sciences. The Fields Institute Thematic Program in theFall of 2010 continued an established traditi on of previous large-scale programs devoted to the same general research direction. The main directions of the program included: * Asymptotic theory of convexity and normed spaces *Concentration of measure and isoperimetric inequalities, optimal transport ation approach * Applications of the concept of concentration * Connections with transformation groups and Ramsey theory * Geometrization of probability * Randommatrices * Connection with asymptotic combinatorics and complexity theory These directions are represented in this volume and reflect the present state of this important area of research. It will be of benefit to researchers working ina wide range of mathematical sciencesin particular functional analysis, combinatorics, convex geometry, dynamical systems, operator algebras, and computer science
Note:Springer eBooks
Contents:Preface
The Variance Conjecture on Some Polytopes (D. Alonso Gutirrez, J. Bastero)
More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures (D. Bartosova)
On the Lyapounov Exponents of Schrodinger Operators Associated with the Standard Map (J. Bourgain)
Overgroups of the Automorphism Group of the Rado Graph (P. Cameron, C. Laflamme, M. Pouzet, S. Tarzi, R. Woodrow)
On a Stability Property of the Generalized Spherical Radon Transform (D. Faifman)
Banach Representations and Affine Compactification of Dynamical Systems (E. Glasner, M. Megrelishvili)
F
ISBN:9781461464068
Series:e-books
Series:SpringerLink (Online service)
Series:Fields Institute Communications, 1069-5265 : v68
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Functional analysis , Operator theory , Discrete groups , Distribution (Probability theory)
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Call number:SPRINGER-2013-9781461451280:ONLINE Show nearby items on shelf
Title:Distance Geometry [electronic resource] : Theory, Methods, and Applications
Author(s): Antonio Mucherino
Carlile Lavor
Leo Liberti
Nelson Maculan
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Distance Geometry:Theory, Methods, and Applications is the first collection of research surveys dedicated to distance geometry and its applications. The first part of the book discusses theoretical aspects of the DistanceGeometry Problem (DGP), where the relation between DGP and other related subjects are also presented. Covered topics include distance matrix theory, Euclidean distance matrix completion, multispherical structure of distance matrices,geometric algebra, algebraic distance geometry theo ry, visualization of K-dimensional structures in the plane, graph rigidity, and theory of discretizable DGP. The second part of this volume presents mathematical and computationalproperties of methods developed to the problems discussed in the first porti on, including continuous methods (based on Gaussian and hyperbolic smoothing, difference of convex functions, semidefinite programming, branch-and-bound),discrete methods (based on branch-and-prune, geometric build-up, graph rigidity), and also heuristics methods (based on simulated annealing, genetic algorithms, tabu search, variable neighborhood search). Applications comprise thethird part of the book, which is mainly devoted to the application of DGP to NMR structure calculation. This is an important a nd strongly multidisciplinary application in biology and biomedicine
Note:Springer eBooks
Contents:Preface
1. Universal Rigidity of Bar Frameworks in General Position (A. Alfakih)
2. Mixed Volume and Distance Geometry Techniques for Counting Euclidean Embeddings of Rigid Graphs (I. Emiris, E. Tsigaridas, A. Varvitsiotis)
3. (The discretizable molecular distance Geometry Problem Seems Easier on Proteins (L. Liberti, C. Lavor, A. Mucherino)
4. Spheres Unions and Intersections and Some of Their Applications in Molecular Modeling (M. Petitjean)
5. Is the Distance Geometry Problem in NP? (N. Beeker, S. Gaubert, C. Glusa, L. Liberti)
6. Solving Spatial Constraints with Generaliz
ISBN:9781461451280
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Visualization , Geometry
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Call number:SPRINGER-2013-9781447148173:ONLINE Show nearby items on shelf
Title:Polyhedral and Algebraic Methods in Computational Geometry [electronic resource]
Author(s): Michael Joswig
Thorsten Theobald
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementaryalgebraic geometry. The f irst part of the book studies classical problems and techniquesthat refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction ofVoronoi diagrams and Delone triangulations. The second p art of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Grbner bases and solving systems of polynomialequations. The theory is illustrated by applications in computer graphics, curve reconstr uction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry,optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineeringstudents who are interested in the applications of computational geometry
Note:Springer eBooks
Contents:Introduction and Overview
Geometric Fundamentals
Polytopes and Polyhedra
Linear Programming
Computation of Convex Hulls
Voronoi Diagrams
Delone Triangulations
Algebraic and Geometric Foundations
Grbner Bases and Buchbergers Algorithm
Solving Systems of Polynomial Equations Using Grbner Bases
Reconstruction of Curves
Plcker Coordinates and Lines in Space
Applications of Non
Linear Computational Geometry
Algebraic Structures
Separation Theorems
Algorithms and Complexity
Software
Notation
ISBN:9781447148173
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Algebra Data processing , Algorithms , Geometry , Discrete groups
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Call number:SPRINGER-2012-9783642298493:ONLINE Show nearby items on shelf
Title:Geometric Aspects of Functional Analysis [electronic resource] : Israel Seminar 20062010
Author(s): Bo'az Klartag
Shahar Mendelson
Vitali D Milman
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the generaltrends of Asymptotic Geome tric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the theory, including classical topics in the geometry of convexbodies, inequalities involving volumes of such bo dies or more generally, logarithmically-concave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on high-dimensionalspaces and characterization of classical constructions in Geometry an d Analysis (like the Legendre and Fourier transforms, derivation and others). All the papers here are original research papers
Note:Springer eBooks
Contents:The
Cosine Transform and Intertwining Integrals on Real Grassmannians
On Modules Over Valuations
On Multiplicative Maps of Continuous and Smooth Functions
Order Isomorphisms on Convex Functions in Windows
Finite Transitive Graph Embeddings into a Hyperbolic
Metric Space Must Stretch or Squeeze
Tightness of Fluctuations of First Passage Percolation on Some Large Graphs
Finitely Supported Measures on SL2(R) which are Absolutely Continuous at Infinity
Interpolations, Convexity and Geometric Inequalities
Hypercontractive Measures, Talagrand's Inequality, and Inuences
ISBN:9783642298493
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2050
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Discrete groups , Distribution (Probability theory)
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Call number:SPRINGER-2012-9780817683108:ONLINE Show nearby items on shelf
Title:Mathematical Analysis [electronic resource] : Foundations and Advanced Techniques for Functions of Several Variables
Author(s): Mariano Giaquinta
Giuseppe Modica
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
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Note:Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in anearlier introductory v olume. The presentation is largely focused on the foundations of measure and integration theory. The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domains, and differentialforms, particularly k-forms. The exposition continues with an introduction to the calculus of variations with applications to geometric optics and mechanics.The authorsconclude with the study of measure and integration theory Borel, Radon, and Hausdorff measures and the derivation of measures. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis. Thiswork may be used as a supplementary text in the classroom or for self-study by advanced undergra duate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. One of the key strengthsof this presentation, along with the other four books on analysis published by the authors, is the motivation for und erstanding the subject through examples, observations, exercises, and illustrations. Other books published by theauthors all of which provide the reader with a strong foundation in modern-day analysis include: * Mathematical Analysis: Functions of One V ariable * Mathematical Analysis: Approximation and Discrete Processes * MathematicalAnalysis: Linear and Metric Structures and Continuity * Mathematical Analysis: An Introduction to Functions of Several Variables Reviews of previous volumes of Mathematica l Analysis: The presentation of the theory is clearly arranged,all theorems have rigorous proofs, and every chapter closes with a summing up of the results and exercises with different requ
Note:Springer eBooks
Contents:Preface
Spaces of Summable Functions and Partial Differential Equations
Convex Sets and Convex Functions
The Formalism of the Calculus of Variations
Differential Forms
Measures and Integrations
Hausdorff and Radon Measures
Mathematicians and Other Scientists
Bibliographical Notes
Index
ISBN:9780817683108
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics)
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Call number:SPRINGER-2010-9783540709978:ONLINE Show nearby items on shelf
Title:Geometry Revealed [electronic resource] : A Jacob's Ladder to Modern Higher Geometry
Author(s): Marcel Berger
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating conceptfor the present book is that it offers readers the elements of a modern geometric culture by means of a whole series of visually appealing unsolved (or recently solved) problems that require the creation of concepts and tools ofvarying abstraction. Starting with such natural, classical objects as lines, planes, circles, spheres, polygons, polyhedra, curves, surfaces, convex sets, etc., crucial ideas and above all abstract concepts needed for attaining theresults are elucidated. These are conceptual notions, each built above t he preceding and permitting an increase in abstraction, represented metaphorically by Jacob's ladder with its rungs: the 'ladder' in the Old Testament, thatangels ascended and descended... In all this, the aim of the book is to demonstrate to readers the unceasingly renewed spirit of geometry and that even so-called elementary geometry is very much alive and at the very heart of thework of numerous contemporary mathematicians. It is also shown that there are innumerable paths yet to be explored and concep ts to be created. The book is visually rich and inviting, so that readers may open it at random places andfind much pleasure throughout according their own intuitions and inclinations. Marcel Berger is the author of numerous successful books on geometry, this book once again is addressed to all students and teachers of mathematics with anaffinity for geometry
Note:Springer eBooks
Contents:Points and lines in the plane
Circles and spheres
The sphere by itself: can we distribute points on it evenly?
Conics and quadrics
Plane curves
Smooth surfaces
Convexity and convex sets
Polygons, polyhedra, polytopes
Lattices, packings and tilings in the plane
Lattices and packings in higher dimensions
Geometry and dynamics I: billiards
Geometry and dynamics II: geodesic flow on a surface
ISBN:9783540709978
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Combinatorics , Geometry , Discrete groups , Global differential geometry , Mathematics_$xHistory
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Call number:SPRINGER-2010-9783540681212:ONLINE Show nearby items on shelf
Title:Markets with Transaction Costs [electronic resource] : Mathematical Theory
Author(s): Yuri Kabanov
Mher Safarian
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:The central mathematical concept in the theory of frictionless markets is a martingale measure. In this, the first monograph devoted to the theory of financial markets with transaction costs, the authors argue that, for financialmarkets with proporti onal transaction costs, this concept should be replaced by that of the consistent price system, which is a martingale evolving in the duals to the solvency cones. Three main subjects are considered: 1. The Lelandapproach to the hedging of contingent claim s based on approximate replication. 2. Arbitrage theory for markets with proportional transaction costs based on a geometric approach. 3. The consumption-investment problem analyzed usingviscosity solutions of the Hamilton-Jacobi-Bellman equation. The fir st part contains recent findings on hedging errors and limit theorems for Leland-type strategies. The rigorous mathematical analysis presented in the book is designedto serve as a platform for further studies. The second part includes a chapter on the arb itrage theory for frictionless markets in discrete time. It is presented as an introduction to the theory of markets with transaction costs, butcan also be read independently. The main subjects of the second part are no-arbitrage criteria and hedging theo rems for European and American options under transaction costs. In contrast to the classical theory, the value processes arevector-valued and the concept of the martingale measure is replaced by the concept of the consistent price system. Hedging theorems give dual descriptions of the set of initial endowments needed to super-replicate contingent claims.These descriptions are expressed in terms of consistent price systems. This volume provides a detailed study of various new phenomena arising in the prese nce of market friction in discrete and continuous time. The mathematics needed isa synthesis of ideas from finite-dimensional geometry, geometric functional analysis, and general theory of stochastic pr
Note:Springer eBooks
Contents:1.Approximative Hedging
2.Arbitrage Theory for Frictionless Markets
3.Arbitrage Theory under Transaction Costs
4.Consumption
Investment Problems
A.Appendices: A.1.Facts from Convex Analysis
A.2.Csaro Convergence
A.3.Facts from Probability
A.4.Measurable Selection
A.5.Fatou
Convergence and Bipolar Theorem in L0
A.6.Skorohod Problem and SDE with Reflections
B.Bibliographical comments
References
ISBN:9783540681212
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Finance
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Distribution (Probability theory)
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Call number:SPRINGER-2010-9781441906007:ONLINE Show nearby items on shelf
Title:Classical Topics in Discrete Geometry [electronic resource]
Author(s): Kroly Bezdek
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:About the author: Karoly Bezdek received his Dr.rer.nat.(1980) and Habilitation (1997) degrees in mathematics from the Etvs Lornd University, in Budapest and his Candidate of Mathematical Sciences (1985) and Doctor ofMathematical Sciences (1994) degr ees from the Hungarian Academy of Sciences. He is the author of more than 100 research papers and currently he is professor and Canada Research Chair of mathematics at the University of Calgary. Aboutthe book: This multipurpose book can serve as a textboo k for a semester long graduate level course giving a brief introduction to Discrete Geometry. It also can serve as a research monograph that leads the reader to the frontiers ofthe most recent research developments in the classical core part of discrete g eometry. Finally, the forty-some selected research problems offer a great chance to use the book as a short problem book aimed at advanced undergraduate andgraduate students as well as researchers. The text is centered around four major and by now classic al problems in discrete geometry. The first is the problem of densest sphere packings, which has more than 100 years of mathematicallyrich history. The second major problem is typically quoted under the approximately 50 years old illumination conjecture o f V. Boltyanski and H. Hadwiger. The third topic is on covering by planks and cylinders with emphases on theaffine invariant version of Tarski's plank problem, which was raised by T. Bang more than 50 years ago. The fourth topic is centered around the Kne ser-Poulsen Conjecture, which also is approximately 50 years old. All four topicswitnessed very recent breakthrough results, explaining their major role in this book
Note:Springer eBooks
Contents:Preface
Part I
Sphere Packings
Finite Packings by Translates of Convex Bodies
Coverings by Homothetic Bodies
Illumination and Related Topics
Coverings by Planks and Cylinders
On the Volume of Finie Arrangements of Spheres
Ball
Polyhedra as Interesctions of Congruent Balls
Part II
Selected Proofs on Sphere Packagings
Selected Proofs on Finite Packagings of Translates of Convex Bodies
Selected Proofs on Illumination and Related Topics
Selected Proofs on Coverings by Planks and Cylinders
Selected Proofs on the Kesner
Poulsen Conjecture
Selected Proofs o
ISBN:9781441906007
Series:e-books
Series:SpringerLink (Online service)
Series:CMS Books in Mathematics, Ouvrages de mathmatiques de la SMC, 1613-5237
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry
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Call number:SPRINGER-2009-9780387873633:ONLINE Show nearby items on shelf
Title:Twentieth Anniversary Volume: [electronic resource] : Discrete & Computational Geometry
Author(s): Richard Pollack
Jnos Pach
Jacob E Goodman
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:This commemorative book contains the 28 major articles that appeared in the 2008 Twentieth Anniversary Issue of the journal Discrete & Computational Geometry, and presents a comprehensive picture of the current state of thefield. Formed during the pa st few decades by the merger of the classical discipline of combinatorial and discrete geometry with the new field of computational geometry that sprang up in the 1970s, discrete and computational geometrynow claims the allegiance of a sizeable number of mathematicians and computer scientists all over the world, whose most important work has been appearing since 1986 in the pages of the journal. The articles in this volume, a number ofwhich solve long-outstanding problems in the field, were chosen by the editors of DCG for the importance of their results, for the breadth of their scope, and to show the intimate connections that have arisen between discrete andcomputational geometry and other areas of both computer science and mathematics. Apart from the a rticles, the editors present an expanded preface, along with a set of photographs of groups and individuals who have played a major rolein the history of the field during the past twenty years. Contributors include: E. Ackerman P.K. Agarwal I. Aliev I. Br ny A. Barvinok S. Basu L.J. Billera J.-D. Boissonnat C. Borcea E. Boros K. Borys B. Braun K. Buchin O. Cheong D.Cohen-Steiner M. Damian K. Elbassioni R. Flatland T. Gerken J.E. Goodman X. Goaoc P. Gronchi V. Gurvich S. Har-Peled J. Hershberger A. Holmsen S.K. Hsiao A. Hubard J. Jernimo L. Khachiyan R. Klein C. Knauer S. Langerman J.-Y. Lee M.Longinetti E. Miller P. Morin U. Nagel E. Nevo P. Niyogi I. Novik J. ORourke J. Pach I. Pak M.J. Pelsmajer S. Petitjean F. Pfender R. Pinchasi R. Pollack J.S. Provan K. Przeslawski R.M. Richardson G. Rote M. Schaefer Y. Schreiber M.Sharir J.R. Shewchuk S. Smale B. Solomyak M. Soss D. tefankovic G. Vegter V.H. Vu S. Weinberger L. Wu D. Yost H. Yu T. Zell
Note:Springer eBooks
Contents:Preface
There are Not too Many Magic Configurations
Computing the Detour and Spanning Ratio of Paths, Trees, and Cycles in 2D and 3D
Robus Shape Fitting via Peeling and Grating Coresets
Siegel's LEmaa and Sum
Distinct Sets
Slicing Convex Sets and Measures by a Hyperplane
A Centrally Symmetric Version of the Cyclic Polytope
On Projections of Semi
Algebraic Sets Defined by Few Quadratic Inequalities
Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres
Isotopic Implicit Surface Meshing
Line Transversals to Disjoint Balls
Generating all
ISBN:9780387873633
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computational complexity , Computer graphics , Geometry, algebraic , Computer science Mathematics , Discrete groups
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Call number:SPRINGER-2009-9780387763569:ONLINE Show nearby items on shelf
Title:Polytopes, Rings, and K-Theory [electronic resource]
Author(s): Joseph Gubeladze
Winfried Bruns
Date:2009
Edition:1
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:This book treats the interaction between discrete convex geometry, commutative ring theory, algebraic K-theory, and algebraic geometry. The basic mathematical objects are lattice polytopes, rational cones, affine monoids, thealgebras derived from the m, and toric varieties. The book discusses several properties and invariants of these objects, such as efficient generation, unimodular triangulations and covers, basic theory of monoid rings, isomorphismproblems and automorphism groups, homological prope rties and enumerative combinatorics. The last part is an extensive treatment of the K-theory of monoid rings, with extensions to toric varieties and their intersection theory. Thismonograph has been written with a view towards graduate students and resear chers who want to study the cross-connections of algebra and discrete convex geometry. While the text has been written from an algebraist's view point, alsospecialists in lattice polytopes and related objects will find an up-to-date discussion of affine m onoids and their combinatorial structure. Though the authors do not explicitly formulate algorithms, the book takes a constructiveapproach wherever possible. Winfried Bruns is Professor of Mathematics at Universitt Osnabrck. Joseph Gubeladze is Professor of Mathematics at San Francisco State University
Note:Springer eBooks
Contents:Preface
Polytopes, cones, and complexes
Affine monoids and their Hilbert bases
Multiples of lattice polytopes
Monoid algebras
Isomorphisms and automorphisms
Homological properties and Hilbert functions
Grbner bases, triangulations, and Koszul algebras
Projective modules over monoid rings
Bass
Whitehead groups of monoid rings
Varieties
References
Notation
Index
ISBN:9780387763569
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , K-theory , Discrete groups
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Call number:SPRINGER-2008-9783540788591:ONLINE Show nearby items on shelf
Title:Stochastic and Integral Geometry [electronic resource]
Author(s): Rolf Schneider
Wolfgang Weil
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Stochastic geometry has in recent years experienced considerable progress, both in its applications to other sciences and engineering, and in its theoretical foundations and mathematical expansion. This book, by two eminentspecialists of the subject, provides a solid mathematical treatment of the basic models of stochastic geometry -- random sets, point processes of geometric objects (particles, flats), and random mosaics. It develops, in ameasure-theoretic setting, the integral geometry for the moti on and the translation group, as needed for the investigation of these models under the usual invariance assumptions. A characteristic of the book is the interplay betweenstochastic and geometric arguments, leading to various major results. Its main theme , once the foundations have been laid, is the quantitative investigation of the basic models. This comprises the introduction of suitable parameters,in the form of functional densities, relations between them, and approaches to their estimation. Much addi tional information on stochastic geometry is collected in the section notes. As a combination of probability theory and geometry,the volume is intended for readers from either field. Probabilists with interest in random spatial structures, or motivated by the prospect of applications, will find an in-depth presentation of the geometric background. Geometers cansee integral geometry at work and may be surprised to learn how classical results from convex geometry have elegant applications in a stochastic se tting
Note:Springer eBooks
Contents:1.Prologue
Part I: Foundations of Stochastic Geometry
2.Random Closed Sets
3.Point Processes
4.Geometric Models
Part II: Integral Geometry
5.Averaging with Invariant Measures
6.Extended Concepts of Integral Geometry
7.Integral
geometric Transformations
Part III: Selected Topics from Stochastic Geometry
8.Some Geometric Probability Problems
9.Mean Values for Random Sets
10.Random Mosaics
11.Non
stationary Models
Part IV: Appendix
12.Facts from General Topology
13.Invariant Measures
14.Facts from Convex Geometry
References
Index
ISBN:9783540788591
Series:e-books
Series:SpringerLink (Online service)
Series:Probability and Its Applications, 1431-7028
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups , Distribution (Probability theory)
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Call number:SPRINGER-2008-9783540737926:ONLINE Show nearby items on shelf
Title:Generalized Curvatures [electronic resource]
Author(s): Jean-Marie Morvan
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:The intent of this book is to set the modern foundations of the theory of generalized curvature measures. This subject has a long history, beginning with J. Steiner (1850), H. Weyl (1939), H. Federer (1959), P. Wintgen (1982),and continues today with young and brilliant mathematicians. In the last decades, a renewal of interest in mathematics as well as computer science has arisen (finding new applications in computer graphics, medical imaging,computational geometry, visualization ). Following a hist orical and didactic approach, the book introduces the mathematical background of the subject, beginning with curves and surfaces, going on with convex subsets, smoothsubmanifolds, subsets of positive reach, polyhedra and triangulations, and ending with su rface reconstruction. We focus on the theory of normal cycle, which allows to compute and approximate curvature measures of a large class ofsmooth or discrete objects of the Euclidean space. We give explicit computations when the object is a 2 or 3 dimens ional polyhedron. This book can serve as a textbook to any mathematician or computer scientist, engineer or researcherwho is interested in the theory of curvature measures
Note:Springer eBooks
Contents:Motivations
Motivation: Curves
Motivation: Surfaces
Background: Metrics and Measures
Distance and Projection
Elements of Measure Theory
Background: Polyhedra and Convex Subsets
Polyhedra
Convex Subsets
Background: Classical Tools in Differential Geometry
Differential Forms and Densities on EN
Measures on Manifolds
Background on Riemannian Geometry
Riemannian Submanifolds
Currents
On Volume
Approximation of the Volume
Approximation of the Length of Curves
Approximation of the Area of Surfaces
The Steiner Formula
The Steiner Formula for
ISBN:9783540737926
Series:e-books
Series:SpringerLink (Online service)
Series:Geometry and Computing, 1866-6795 : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer vision , Computer science Mathematics , Global differential geometry
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Call number:SPRINGER-2007-9783540720539:ONLINE Show nearby items on shelf
Title:Geometric Aspects of Functional Analysis [electronic resource] : Israel Seminar 20042005
Author(s): Vitali D Milman
Gideon Schechtman
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 follows the long tradition of the previous volumes that reflect the general trends ofthe Theory and are a source of inspiration for research. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies, to inequalities involvingvolumes of such bodies or, more generally, lo g-concave measures, to the study of sections or projections of convex bodies. In many of the papers Probability Theory plays an important role in some limit laws for measures associatedwith convex bodies, resembling Central Limit Theorems, are derive and in others probabilistic tools are used extensively. There are also papers on related subjects, including a survey on the behavior of the largest eigenvalue of randommatrices and some topics in Number Theory
Note:Springer eBooks
Contents:S. Alesker: Theory of Valuations on Manifolds, IV. New Properties of the Multiplicative Structure
S. Artstein
Avidan, O. Friedland, V. Milman: Geometric Applications of Chernoff
Type Estimates
S.G. Bobkov: A Remark on the Surface BrunnMinkowski
Type Inequality
S.G. Bobkov: On Isoperimetric Constants for Log
Concave Probability Distributions
J. Bourgain: A Remark on Quantum Ergodicity for CAT Maps
J. Bourgain: Some Arithmetical Applications of the Sum
Product Theorems in Finite Fields
D. Gatzouras, A. Giannopoulos, N. Markoulakis: On the Maximal Number of Facets of 0/1 Poly
ISBN:9783540720539
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v1910
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Discrete groups , Distribution (Probability theory)
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Call number:SPRINGER-2007-9783540711339:ONLINE Show nearby items on shelf
Title:Convex and Discrete Geometry [electronic resource]
Author(s): Peter M Gruber
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other areas. The book gives an overview of major results, methods and ideas of convexand discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers. It should also be of use to people working in otherareas of mathematics and in the applied fields
Note:Springer eBooks
Contents:Convex Functions
Convex Bodies
Convex Polytopes
Geometry of Numbers and Aspects of Discrete Geometry
ISBN:9783540711339
Series:e-books
Series:SpringerLink (Online service)
Series:A Series of Comprehensive Studies in Mathematics, 0072-7830 : v336
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups
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Call number:SPRINGER-2006-9780817644512:ONLINE Show nearby items on shelf
Title:Selected Topics in Convex Geometry [electronic resource]
Author(s): Maria Moszyska
Date:2006
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
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Note:The field of convex geometry has become a fertile subject of mathematical activity in the past few decades. This exposition, examining in detail those topics in convex geometry that are concerned with Euclidean space, is enrichedby numerous examples, illustrations, and exercises, with a good bibliography and index. The theory of intrinsic volumes for convex bodies, along with the Hadwiger characterization theorems, whose proofs are based on beautiful geometricideas such as the rounding theorems and t he Steiner formula, are treated in Part 1. In Part 2 the reader is given a survey on curvature and surface area measures and extensions of the class of convex bodies. Part 3 is devoted to theimportant class of star bodies and selectors for convex and star bodies, including a presentation of two famous problems of geometric tomography: the Shephard problem and the BusemannPetty problem. Selected Topics in Convex Geometryrequires of the reader only a basic knowledge of geometry, linear algebra, analysis, to pology, and measure theory. The book can be used in the classroom setting for graduates courses or seminars in convex geometry, geometric and convexcombinatorics, and convex analysis and optimization. Researchers in pure and applied areas will also benefi t from the book
Note:Springer eBooks
Contents:I
Metric Spaces
Subsets of Euclidean Space
Basic Properties of Convex Sets
Transformations of the Space Kn of Compact Convex Sets
Rounding Theorems
Convex Polytopes
Functionals on the Space Kn. The Steiner Theorem
The Hadwiger Theorems
Applications of the Hadwiger Theorems
II
Curvature and Surface Area Measures
Sets with positive reach. Convexity ring
Selectors for Convex Bodies
Polarity
III
Star Sets. Star Bodies
Intersection Bodies
Selectors for Star Bodies
ISBN:9780817644512
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Global analysis (Mathematics) , Discrete groups , Topology
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Call number:SPRINGER-2006-9780387310770:ONLINE Show nearby items on shelf
Title:Convex Functions and Their Applications [electronic resource] : A Contemporary Approach
Author(s): Constantin P Niculescu
Lars-Erik Persson
Date:2006
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Convex functions play an important role in many branches of mathematics, as well as other areas of science and engineering. The present text is aimed to a thorough introduction to contemporary convex function theory, whichentails a powerful and elega nt interaction between analysis and geometry. A large variety of subjects are covered, from one real variable case (with all its mathematical gems) to some of the most advanced topics such as the convexcalculus, Alexandrovs Hessian, the variational approa ch of partial differential equations, the Prkopa-Leindler type inequalities and Choquet's theory. This book can be used for a one-semester graduate course on Convex Functionsand Applications, and also as a valuable reference and source of inspiration for researchers working with convexity. The only prerequisites are a background in advanced calculus and linear algebra. Each section ends with exercises,while each chapter ends with comments covering supplementary material and historical information. Many re sults are new, and the whole book reflects the authors own experience, both in teaching and research. About the authors:Constantin P. Niculescu is a Professor in the Department of Mathematics at the University of Craiova, Romania. Dr. Niculescu directs th e Centre for Nonlinear Analysis and Its Applications and also the graduate program in AppliedMathematics at Craiova. He received his doctorate from the University of Bucharest in 1974. He published in Banach Space Theory, Convexity Inequalities and Dynami cal Systems, and has received several prizes both for research andexposition. Lars Erik Persson is Professor of Mathematics at Lule University of Technology and Uppsala University, Sweden. He is the director of Center of Applied Mathematics at Lule, a mem ber of the Swedish National Committee ofMathematics at the Royal Academy of Sciences, and served as President of the Swedish Mathematical Society (1996-1998). He received his doctorate from
Note:Springer eBooks
Contents:Convex Functions on Intervals
Comparative Convexity on Intervals
Convex Functions on a Normed Linear Space
Choquets Theory and Beyond
ISBN:9780387310770
Series:e-books
Series:SpringerLink (Online service)
Series:Canadian Mathematical Society, 1613-5237
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Discrete groups
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Call number:SPRINGER-2005-9783540263401:ONLINE Show nearby items on shelf
Title:Convex Polyhedra [electronic resource]
Author(s): A.D Alexandrov
Date:2005
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Convex Polyhedra is one of the classics in geometry. There simply is no other book with so many of the aspects of the theory of 3-dimensional convex polyhedra in a comparable way, and in anywhere near its detail and completeness.It is the definitive source of the classical field of convex polyhedra and contains the available answers to the question of the data uniquely determining a convex polyhedron. This question concerns all data pertinent to a polyhedron,e.g. the lengths of edges, areas of faces, etc. This vital and clearly written book includes the basics of convex polyhedra and collects the most general existence theorems for convex polyhedra that are proved by a new and unifiedmethod. It is a wonderful source of ideas for students. The English edition includes numerous comments as well as added material and a comprehensive bibliography by V.A. Zalgaller to bring the work up to date. Moreover, related papersby L.A.Shor and Yu.A.Volkov have been added as supplements to this book
Note:Springer eBooks
Contents:Basic Concepts and Simplest Properties of Convex Polyhedra
Methods and Results
Uniqueness of Polyhedra with Prescribed Development
Existence of Polyhedra with Prescribed Development
Gluing and Flexing Polyhedra with Boundary
Congruence Conditions for Polyhedra with Parallel Faces
Existence Theorems for Polyhedra with Prescribed Face Directions
Relationship Between the Congruence Condition for Polyhedra with Parallel Faces and Other Problems
Polyhedra with Vertices on Prescribed Rays
Infinitesimal Rigidity of Convex Polyhedra with Stationary Development
Infinitesim
ISBN:9783540263401
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Visualization , Discrete groups
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Call number:SPRINGER-2004-9783764377977:ONLINE Show nearby items on shelf
Title:Symmetry in Finite Generalized Quadrangles
Author(s): Koen Thas
Date:2004
Size:1 online resource (214 p.)
Note:10.1007/b11797
Contents:Introduction: History, Motivation -- 1. Finite Generalized Quadrangles -- 2. Elation Generalized Quadrangles, Translation Generalized Quadrangles and Flocks -- 3. The Known Generalized Quadrangles -- 4. Substructures of Finite Nets --
5. Symmetry Class I: Generalized Quadrangles with Axes of Symmetry -- 6. Symmetry Class II: Concurrent Axes of Symmetry in Generalized Quadrangles -- 7. Symmetry Class II: Span-Symmetric Generalized Quadrangles -- 8. Generalized
Quadrangles with Distinct Translation Points -- 9. The Classification Theorem -- 10. Symmetry Class IV.3: TGQs which Arise from Flocks -- 11. A Characterization Theorem and a Classification Theorem -- 12. Symmetry Class V -- 13.
Recapitulation of the Classification Theorem -- 14. Semi Quadrangles -- Appendices -- References
ISBN:9783764377977
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Geometry , Convex geometry , Discrete geometry , Mathematics , Geometry , Convex and Discrete Geometry
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Call number:SPRINGER-2004-9783540444893:ONLINE Show nearby items on shelf
Title:Geometric Aspects of Functional Analysis Israel Seminar 2002-2003
Author(s): Vitali D Milman
Date:2004
Size:1 online resource (306 p.)
Note:10.1007/b98686
ISBN:9783540444893
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1850
Keywords: Mathematics , Functional analysis , Convex geometry , Discrete geometry , Probabilities , Mathematics , Functional Analysis , Convex and Discrete Geometry , Probability Theory and Stochastic Processes
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Call number:SPRINGER-2004-9783034878715:ONLINE Show nearby items on shelf
Title:Complex Convexity and Analytic Functionals
Author(s): Mats Andersson
Date:2004
Size:1 online resource (164 p.)
Note:10.1007/978-3-0348-7871-5
Contents:1 Convexity in Real Projective Space -- 1.1 Convexity in real affine space -- 1.2 Real projective space -- 1.3 Convexity in real projective space -- 2 Complex Convexity -- 2.1 Linearly convex sets -- 2.2 ?-convexity: Definition and
examples -- 2.3 ?-convexity: Duality and invariance -- 2.4 Open ?-convex sets -- 2.5 Boundary properties of ?-convex sets -- 2.6 Spirally connected sets -- 3 Analytic Functionals and the Fantappiè Transformation -- 3.1 The basic
pairing in affine space -- 3.2 The basic pairing in projective space -- 3.3 Analytic functionals in affine space -- 3.4 Analytic functionals in projective space -- 3.5 The Fantappiè transformation -- 3.6 Decomposition into partial
fractions -- 3.7 Complex Kergin interpolation -- 4 Analytic Solutions to Partial Differential Equations -- 4.1 Solvability in ?-convex sets -- 4.2 Solvability and P-convexity for carriers -- References
ISBN:9783034878715
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 225
Keywords: Mathematics , Functional analysis , Functions of complex variables , Partial differential equations , Convex geometry , Discrete geometry , Mathematics , Functional Analysis , Functions of a Complex Variable , Partial Differential Equations , Convex and Discrete Geometry
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Call number:SPRINGER-2004-9781441988515:ONLINE Show nearby items on shelf
Title:Interactive Decision Maps Approximation and Visualization of Pareto Frontier
Author(s): Alexander V Lotov
Date:2004
Size:1 online resource (310 p.)
Note:10.1007/978-1-4419-8851-5
ISBN:9781441988515
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 89
Keywords: Mathematics , Numerical analysis , Convex geometry , Discrete geometry , Mathematical optimization , Calculus of variations , Environmental management , Mathematics , Optimization , Numeric Computing , Convex and Discrete Geometry , Environmental Management , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2004-9781402081033:ONLINE Show nearby items on shelf
Title:Stochastic Geometry: Selected Topics
Author(s): Viktor Beneš
Date:2004
Size:1 online resource (221 p.)
Note:10.1007/b129604
Contents:Preliminaries -- Random Measures and Point Processes -- Random Fibre and Surface Systems -- Vertical Sampling Schemes -- Fibre and Surface Anisotropy -- Particle Systems
ISBN:9781402081033
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Measure theory , Convex geometry , Discrete geometry , Probabilities , Statistics , Materials science , Mathematics , Probability Theory and Stochastic Processes , Statistics, general , Convex and Discrete Geometry , Measure and Integration , Characterization and Evaluation of Materials
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Call number:SPRINGER-2004-9781402024993:ONLINE Show nearby items on shelf
Title:Fixed Point Theory for Decomposable Sets
Author(s): Andrzej Fryszkowski
Date:2004
Size:1 online resource (209 p.)
Note:10.1007/1-4020-2499-1
Contents:Preliminaries -- Real and vector measures -- Preliminary notions -- Upper and lower semicontinuous multifunctions -- Measurable multifunctions -- Carathéodory type multifunctions -- Fixed points property for convex-valued mappings --
Decomposable sets -- Selections -- Fixed points property -- Aumann integrals -- Selections of Aumann integrals -- Fixed points for multivalued contractions -- Operator and differential inclusions -- Decomposable analysis
ISBN:9781402024993
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Topological Fixed Point Theory and Its Applications : 2
Keywords: Mathematics , Functional analysis , Measure theory , Differential equations , Convex geometry , Discrete geometry , Calculus of variations , Mathematics , Functional Analysis , Convex and Discrete Geometry , Measure and Integration , Ordinary Differential Equations , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2004-9780817681722:ONLINE Show nearby items on shelf
Title:Fourier Analysis and Convexity
Author(s):
Date:2004
Size:1 online resource (268 p.)
Note:10.1007/978-0-8176-8172-2
Contents:Lattice Point Problems: Crossroads of Number Theory, Probability Theory and Fourier Analysis -- Totally Geodesic Radon Transform of LP-Functions on Real Hyperbolic Space -- Fourier Techniques in the Theory of Irregularities of Point
Distribution -- Spectral Structure of Sets of Integers -- 100 Years of Fourier Series and Spherical Harmonics in Convexity -- Fourier Analytic Methods in the Study of Projections and Sections of Convex Bodies -- The Study of
Translational Tiling with Fourier Analysis -- Discrete Maximal Functions and Ergodic Theorems Related to Polynomials -- What Is It Possible to Say About an Asymptotic of the Fourier Transform of the Characteristic Function of a
Two-dimensional Convex Body with Nonsmooth Boundary? -- SomeRecent Progress on the Restriction Conjecture -- Average Decayof the Fourier Transform
ISBN:9780817681722
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Harmonic analysis , Fourier analysis , Functional analysis , Convex geometry , Discrete geometry , Number theory , Mathematics , Fourier Analysis , Abstract Harmonic Analysis , Convex and Discrete Geometry , Number Theory , Functional Analysis
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Call number:SPRINGER-2004-9780817681548:ONLINE Show nearby items on shelf
Title:A Path to Combinatorics for Undergraduates Counting Strategies
Author(s): Titu Andreescu
Date:2004
Size:1 online resource (228 p.)
Note:10.1007/978-0-8176-8154-8
Contents:Preface -- Introduction -- Acknowledgments -- Abbreviations and Notations -- Addition on Multiplication?- Combinations -- Properties of Binomial Coefficients -- Bijections -- Inclusions and Exclusions -- Recursions -- Calculating in
Two Ways – Fubini's Principle -- Generating Functions -- Review Exercises -- Glossary -- Further Reading
ISBN:9780817681548
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Geometry , Convex geometry , Discrete geometry , Probabilities , Combinatorics , Mathematics , Combinatorics , Geometry , Convex and Discrete Geometry , Probability Theory and Stochastic Processes
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Call number:SPRINGER-2003-9783642556272:ONLINE Show nearby items on shelf
Title:Geometric Analysis and Nonlinear Partial Differential Equations
Author(s):
Date:2003
Size:1 online resource (673 p.)
Note:10.1007/978-3-642-55627-2
Contents:Olga Ladyzhenskaya—A Life-Long Devotion to Mathematics -- I. Geometric Analysis and Calculus of Variations -- On the Spectral Theory of Surfaces with Cusps -- The Dirac Determinant of Spherical Space Forms -- Constructing Isospectral
Metrics via Principal Connections -- Parametrizations of Teichmüller Space and Its Thurston Boundary -- Linearization of Isotropic Automorphisms of Non-quadratic Elliptic CR-Manifolds in ?4 -- Global C2+?-Estimates for Conformai Maps
-- On Karcher’s Twisted Saddle Towers -- Unstable Periodic Discrete Minimal Surfaces -- An Adaptive Finite Element Method for Minimal Surfaces -- Singular Minimal Surfaces -- Note on the Isoperimetric Profile of a Convex Body --
Geometric Conditions on Free Boundaries -- On Generalized Mean Curvature Flow in Surface Processing -- A Finite Element Level Set Method for Anisotropic Mean Curvature Flow with Space Dependent Weight -- Optimal Regularity Results via
A-Harmonic Approximation -- Dominance Functions for Parametric Lagrangians -- Convex Variational Problems with Linear Growth -- II. Nonlinear Partial Differential Equations -- Studying Nonlinear pde by Geometry in Matrix Space -- On
the Korteweg — de Vries Equation and KAM Theory -- Convergence of Approximate Solutions of Conservation Laws -- Nonlinear Hyperbolic Systems of Generalized Navier-Stokes Type for Interactive Motion in Biology -- On Peak and Periodic
Solutions of an Integro-Differential Equation on S1 -- Symmetrizing Measures for Infinite Dimensional Diffusions: An Analytic Approach -- Markov Semigroups and Harmonic Maps -- Boundary Regularity for Nonlinear Elliptic Systems:
Applications to the Transmission Problem -- A Particle-Partition of Unity Method — Part V: Boundary Conditions -- On Uniqueness- and Regularity Criteria for the Navier-Stokes Equations -- Problems Due to the No-Slip Boundary in
Incompressible Fluid Dynamics -- Comparison of Finite Volume and Discontinuous Galerkin Methods of Higher Order for Systems of Conservation Laws in Multiple Space Dimensions -- Existence of Strong Solutions for Electrorheological
Fluids in Two Dimensions: Steady Dirichlet Problem -- Spinodal Decomposition in the Presence of Elastic Interactions -- Waiting Time Phenomena for Degenerate Parabolic Equations — A Unifying Approach -- The Mathematics of Ostwald
Ripening -- Appendix. Color Plates
ISBN:9783642556272
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Partial differential equations , Mathematics , Partial Differential Equations
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Call number:SPRINGER-2003-9783642555664:ONLINE Show nearby items on shelf
Title:Discrete and Computational Geometry The Goodman-Pollack Festschrift
Author(s):
Date:2003
Size:1 online resource (853 p.)
Note:10.1007/978-3-642-55566-4
Contents:On the Complexity of Many Faces in Arrangements of Pseudo-Segments and of Circles -- Polyhedral Cones of Magic Cubes and Squares -- of the Polygons -- Computing the Hausdorff Distance of Geometric Patterns and Shapes -- A Sum of
Squares Theorem for Visibility Complexes and Applications -- On the Reflexivity of Point Sets -- Geometric Permutations of Large Families of Translates -- Integer Points in Rotating Convex Bodies -- Complex Matroids ¨C Phirotopes and
Their Realizations in Rank -- Covering the Sphere by Equal Spherical Balls -- Lower Bounds for High Dimensional Nearest Neighbor Searchand Related Problems -- A Tur´an-type Extremal Theory of Convex Geometric Graphs -- Relaxation -- A
Lower Bound on the Complexity of Approximate Nearest-NeighborSearching on the Hamming -- Detecting Undersampling in Surface Reconstruction -- A Survey of the Hadwiger-Debrunner (p, q)-problem -- Surface Reconstruction by Wrapping
Finite Sets in Space -- Infeasibility of Systems of Halfspaces -- Complete Combinatorial Generation of Small Point Configurations and Hyperplane -- Relative Closure and the Complexity of Pfaffian Elimination -- Are Your Polyhedra the
Same as My Polyhedra -- Some Algorithms Arising in the Proof of the Kepler Conjecture -- The Minimal Number of Triangles Needed to Span a Polygon Embedded in Rd -- Jacobi Decomposition and Eigenvalues of Symmetric Matrices -- Discrete
Geometry on Red and Blue Points in the Plane¨C A Survey ¨C -- Configurations with Rational Angles and Trigonometric DiophantineEquations -- Reconstructing Sets From Interpoint Distances -- Dense Packings of Congruent Circles in
Rectangles with a Variable Aspect Ratio -- Colorings and Homomorphisms of Minor Closed Classes -- Conflict-free Colorings -- New Complexity Bounds for Cylindrical Decompositions of Sub-Pfaffian Sets -- Note on the Chromatic Number of
the Space -- Expansive Motions and the Polytope of Pointed Pseudo-Triangulations -- Some Recent Quantitative and Algorithmic Results in Real Algebraic Geometry -- A Discrete Isoperimetric Inequality and Its Application to Sphere
Packings -- On the Number of Maximal Regular Simplices Determined by n Points in Rd -- Balanced Lines, Halving Triangles, and the Generalized Lower Bound Theorem -- Quantizing Using Lattice Intersections -- Note on a Generalization of
Roth’s Theorem -- Arrangements, Equivariant Maps and Partitions of Measures by k-Fans -- Qualitative Infinite Version of Erd?s’ Problem About Empty Polygons
ISBN:9783642555664
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algorithms and Combinatorics: 25
Keywords: Mathematics , Computer science , Geometry , Convex geometry , Discrete geometry , Probabilities , Combinatorics , Mathematics , Geometry , Convex and Discrete Geometry , Combinatorics , Discrete Mathematics in Computer Science , Probability Theory and Stochastic Processes
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Call number:SPRINGER-2003-9783540448570:ONLINE Show nearby items on shelf
Title:Optimal Transportation and Applications Lectures given at the C.I.M.E. Summer School, held in Martina Franca, Italy, September 2-8, 2001
Author(s): Luigi Ambrosio
Date:2003
Size:1 online resource (169 p.)
Note:10.1007/b12016
Contents:Preface -- L.A. Caffarelli: The Monge-Ampère equation and Optimal Transportation, an elementary view -- G. Buttazzo, L. De Pascale: Optimal Shapes and Masses, and Optimal Transportation Problems -- C. Villani: Optimal Transportation,
dissipative PDE's and functional inequalities -- Y. Brenier: Extended Monge-Kantorowich Theory -- L. Ambrosio, A. Pratelli: Existence and Stability results in the L1 Theory of Optimal Transportation
ISBN:9783540448570
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze: 1813
Keywords: Mathematics , Partial differential equations , Convex geometry , Discrete geometry , Differential geometry , Calculus of variations , Probabilities , Mathematics , Partial Differential Equations , Convex and Discrete Geometry , Differential Geometry , Calculus of Variations and Optimal Control Optimization , Probability Theory and Stochastic Processes
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Call number:SPRINGER-2003-9783540364283:ONLINE Show nearby items on shelf
Title:Geometric Aspects of Functional Analysis Israel Seminar 2001-2002
Author(s):
Date:2003
Size:1 online resource (432 p.)
Note:10.1007/b10415
Contents:Preface -- F. Barthe, M. Csörnyei and A. Naor: A Note on Simultaneous Polar and Cartesian Decomposition -- A. Barvinok: Approximating a Norm by a Polynomial -- S.G. Bobkov: Concentration of Distributions of the Weighted Sums with
Bernoullian Coefficients -- S.G. Bobkov: Spectral Gap and Concentration for Some Spherically Symmetric Probability Measures -- S.G. Bobkov and A. Koldobsky: On the Central Limit Property of Convex Bodies -- S.G. Bobkov and F.L.
Nazarov: On Convex Bodies and Log-Concave Probability Measures with Unconditional Basis -- J. Bourgain: Random Lattice Schrödinger Operators with Decaying Potential: Some Higher Dimensional Phenomena -- J. Bourgain: On Long-Time
Behaviour of Solutions of Linear Schrödinger Equations with Smooth Time-Dependent Potential -- J. Bourgain: On the Isotropy-Constant Problem for 'PSI-2'-Bodies -- E.D. Gluskin: On the Sum of Intervals -- E. Gluskin and V. Milman: Note
on the Geometric-Arithmetic Mean Inequality -- O. Guédon and A. Zvavitch: Supremum of a Process in Terms of Trees -- O. Maleva: Point Preimages under Ball Non-Collapsing Mappings -- V. Milman and R. Wagner: Some Remarks on a Lemma of
Ran Raz -- F. Nazarov: On the Maximal Perimeter of a Convex Set in R^n with Respect to a Gaussian Measure -- K. Oleszkiewicz: On p-Pseudostable Random Variables, Rosenthal Spaces and l_p^n Ball Slicing -- G. Paouris: Psi_2-Estimates
for Linear Functionals on Zonoids -- G. Schechtman, N. Tomczak-Jaegermann and R. Vershynin: Maximal l_p^n-Structures in Spaces with Extremal Parameters -- C. Schütt and E. Werner: Polytopes with Vertices Chosen Randomly from the
Boundary of a Convex Body -- Seminar Talks (with Related Workshop and Conference Talks)
ISBN:9783540364283
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1807
Keywords: Mathematics , Functional analysis , Convex geometry , Discrete geometry , Probabilities , Mathematics , Functional Analysis , Convex and Discrete Geometry , Probability Theory and Stochastic Processes
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Call number:SPRINGER-2003-9783034880145:ONLINE Show nearby items on shelf
Title:Fractals in Graz 2001 Analysis — Dynamics — Geometry — Stochastics
Author(s):
Date:2003
Size:1 online resource (284 p.)
Note:10.1007/978-3-0348-8014-5
Contents:The Spectrum of the Laplacian on the Pentagasket -- From Fractal Groups to Fractal Sets -- Pointwise Estimates for Transition Probabilities of Random Walks on Infinite Graphs -- Piecewise Isometries — An Emerging Area of Dynamical
Systems -- Random Walks on Sierpi?ski Graphs: Hyperbolicity and Stochastic Homogenization -- Some Remarks for Stable-like Jump Processes on Fractals -- Fractals, Multifunctions and Markov Operators -- Infinite Chains of Springs and
Masses -- Self-similar Fractals and Self-similar Energies -- Neighbours of Self-affine Tiles in Lattice Tilings -- On the Hausdorff Dimension of the Sierpi?ski Gasket with respect to the Harmonic Metric -- Riesz Potentials and Besov
Spaces on Fractals -- List of Participants
ISBN:9783034880145
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Dynamics , Ergodic theory , Potential theory (Mathematics) , Convex geometry , Discrete geometry , Probabilities , Topology , Mathematics , Topology , Dynamical Systems and Ergodic Theory , Potential Theory , Convex and Discrete Geometry , Probability Theory and Stochastic Processes
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Call number:SPRINGER-2003-9781461302391:ONLINE Show nearby items on shelf
Title:Equilibrium Problems and Variational Models
Author(s):
Date:2003
Size:1 online resource (446 p.)
Note:10.1007/978-1-4613-0239-1
Contents:On Vector Quasi—Equilibrium Problems -- The Log-Quadratic Proximal Methodology in Convex Optimization Algorithms and Variational Inequalities -- The Continuum Model of Transportation Problem -- The Economic Model for Demand—Supply
Problems -- Constrained Problems of Calculus of Variations Via Penalization Technique -- Variational Problems with Constraints Involving Higher—Order Derivatives -- On the strong solvability of a unilateral boundary value problem for
Nonlinear Parabolic Operators in the Plane -- Solving a Special Class of Discrete Optimal Control Problems Via a Parallel Interior—Point Method -- Solving Large Scale Fixed Charge Network Flow Problems -- Variable Projection Methods
for Large—Scale Quadratic Optimization in data Analysis Applications -- Strong solvability of boundary value problems in elasticity with Unilateral Constraints -- Time Dependent Variational Inequalities — Some Recent Trends -- On the
Contractibility of the Efficient and Weakly Efficient Sets in R2 -- Existence Theorems for a Class of Variational Inequalities and Applications to a Continuous Model of Transportation -- On Auxiliary Principle for Equilibrium Problems
-- Multicriteria Spatial Price Networks: Statics and Dynamics -- Non regular data in unilateral variational problems -- Equilibrium Concepts in Transportation Networks: Generalized Wardrop Conditions and Variational Formulations --
Variational Geometry and Equilibrium -- On the Calculation of Equilibrium in Time Dependent Traffic Networks -- Mechanical Equilibrium and Equilibrium Systems -- False Numerical Convergence in Some Generalized Newton Methods --
Distance to the Solution Set of an Inequality with an Increasing Function -- Transportation Networks with Capacity Constraints
ISBN:9781461302391
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 68
Keywords: Mathematics , Mathematical models , Mathematical optimization , Mathematics , Optimization , Mathematical Modeling and Industrial Mathematics
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Call number:SPRINGER-2003-9781461300199:ONLINE Show nearby items on shelf
Title:Convex Polytopes
Author(s): Branko Grünbaum
Date:2003
Edition:Second Edition
Size:1 online resource (471 p.)
Note:10.1007/978-1-4613-0019-9
Contents:1 Notation and prerequisites -- 1.1 Algebra -- 1.2 Topology -- 1.3 Additional notes and comments -- 2 Convex sets -- 2.1 Definition and elementary properties -- 2.2 Support and separation -- 2.3 Convex hulls -- 2.4 Extreme and exposed
points faces and poonems -- 2.5 Unbounded convex sets -- 2.6 Polyhedral sets -- 2.7 Remarks -- 2.8 Additional notes and comments -- 3 Polytopes -- 3.1 Definition and fundamental properties -- 3.2 Combinatorial types of polytopes
complexes -- 3.3 Diagrams and Schlegel diagrams -- 3.4 Duality of polytopes -- 3.5 Remarks -- 3.6 Additional notes and comments -- 4 Examples -- 4.1 The d-simplex -- 4.2 Pyramids -- 4.3 Bipyramids -- 4.4 Prisms -- 4.5 Simplicial and
simple polytopes -- 4.6 Cubical polytopes -- 4.7 Cyclic polytopes -- 4.8 Exercises -- 4.9 Additional notes and comments -- 5 Fundamental properties and constructions -- 5.1 Representations of polytopes as sections or projections -- 5.2
The inductive construction of polytopes -- 5.3 Lower semicontinuity of the functions fk(P) -- 5.4 Gale-transforms and Gale-diagrams -- 5.5 Existence of combinatorial types -- 5.6 Additional notes and comments -- 6 Polytopes with few
vertices -- 6.1 d-Polytopes with d + 2 vertices -- 6.2 d-Polytopes with d + 3 vertices -- 6.3 Gale diagrams of polytopes with few vertices -- 6.4 Centrally symmetric polytopes -- 6.5 Exercises -- 6.6 Remarks -- 6.7 Additional notes and
comments -- 7 Neighborly polytopes -- 7.1 Definition and general properties -- 7.2 % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr %
4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeaaciGaaiaabeqaamaabaabaaGcbaWaamWaaeaadG % aGmUaaaeacaYOaiaiJigdaaeacaYOaiaiJikdaaaacbiGaiaiJ-rga %
aiaawUfacaGLDbaaaaa!40CC! $$ \left[ {\frac{1} {2}d} \right] $$-Neighborly d-polytopes -- 7.3 Exercises -- 7.4 Remarks -- 7.5 Additional notes and comments -- 8 Euler’s relation -- 8.1 Euler’s theorem -- 8.2 Proof of Euler’s theorem --
8.3 A generalization of Euler’s relation -- 8.4 The Euler characteristic of complexes -- 8.5 Exercises -- 8.6 Remarks -- 8.7 Additional notes and comments -- 9 Analogues of Euler’s relation -- 9.1 The incidence equation -- 9.2 The
Dehn-Sommerville equations -- 9.3 Quasi-simplicial polytopes -- 9.4 Cubical polytopes -- 9.5 Solutions of the Dehn-Sommerville equations -- 9.6 The f-vectors of neighborly d-polytopes -- 9.7 Exercises -- 9.8 Remarks -- 9.9 Additional
notes and comments -- 10 Extremal problems concerning numbers of faces -- 10.1 Upper bounds for fi, i ? 1, in terms of fo -- 10.2 Lower bounds for fi, i ? 1, in terms of fo -- 10.3 The sets f(P3) and f(PS3) -- 10.4 The set fP4) -- 10.5
Exercises -- 10.6 Additional notes and comments -- 11 Properties of boundary complexes -- 11.1 Skeletons of simplices contained in ?(P) -- 11.2 A proof of the van Kampen-Flores theorem -- 11.3 d-Connectedness of the graphs of
d-polytopes -- 11.4 Degree of total separability -- 11.5 d-Diagrams -- 11.6 Additional notes and comments -- 12 k-Equivalence of polytopes -- 12.1 k-Equivalence and ambiguity -- 12.2 Dimensional ambiguity -- 12.3 Strong and weak
ambiguity -- 12.4 Additional notes and comments -- 13 3-Polytopes -- 13.1 Steinitz’s theorem -- 13.2 Consequences and analogues of Steinitz’s theorem -- 13.3 Eberhard’s theorem -- 13.4 Additional results on 3-realizable sequences --
13.5 3-Polytopes with circumspheres and circumcircles -- 13.6 Remarks -- 13.7 Additional notes and comments -- 14 Angle-sums relations the Steiner point -- 14.1 Gram’s relation for angle-sums -- 14.2 Angle-sums relations for simplicial
polytopes -- 14.3 The Steiner point of a polytope (by G. C. Shephard) -- 14.4 Remarks -- 14.5 Additional notes and comments -- 15 Addition and decomposition of polytopes -- 15.1 Vector addition -- 15.2 Approximation of polytopes by
vector sums -- 15.3 Blaschke addition -- 15.4 Remarks -- 15.5 Additional notes and comments -- 16 Diameters of polytopes (by Victor Klee) -- 16.1 Extremal diameters of d-polytopes -- 16.2 The functions ? and ?b -- 16.3 Wv Paths -- 16.4
Additional notes and comments -- 17 Long paths and circuits on polytopes -- 17.1 Hamiltonian paths and circuits -- 17.2 Extremal path-lengths of polytopes -- 17.3 Heights of polytopes -- 17.4 Circuit codes -- 17.5 Additional notes and
comments -- 18 Arrangements of hyperplanes -- 18.1 d-Arrangements -- 18.2 2-Arrangements -- 18.3 Generalizations -- 18.4 Additional notes and comments -- 19 Concluding remarks -- 19.1 Regular polytopes and related notions -- 19.2
k-Content of polytopes -- 19.3 Antipodality and related notions -- 19.4 Additional notes and comments -- Tables -- Addendum -- Errata for the 1967 edition -- Additional Bibliography -- Index of Terms -- Index of Symbols
ISBN:9781461300199
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 221
Keywords: Mathematics , Convex geometry , Discrete geometry , Mathematics , Convex and Discrete Geometry
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Call number:SPRINGER-2003-9781441991720:ONLINE Show nearby items on shelf
Title:Lagrange-type Functions in Constrained Non-Convex Optimization
Author(s): Alexander Rubinov
Date:2003
Size:1 online resource (286 p.)
Note:10.1007/978-1-4419-9172-0
ISBN:9781441991720
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 85
Keywords: Mathematics , Convex geometry , Discrete geometry , Mathematical optimization , Operations research , Management science , Mathematics , Optimization , Operations Research, Management Science , Convex and Discrete Geometry
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Call number:SPRINGER-2003-9781441991645:ONLINE Show nearby items on shelf
Title:Bi-Level Strategies in Semi-Infinite Programming
Author(s): Oliver Stein
Date:2003
Size:1 online resource (202 p.)
Note:10.1007/978-1-4419-9164-5
ISBN:9781441991645
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 71
Keywords: Mathematics , Computer mathematics , Convex geometry , Discrete geometry , Mathematical optimization , Calculus of variations , Mathematics , Optimization , Calculus of Variations and Optimal Control Optimization , Computational Mathematics and Numerical Analysis , Convex and Discrete Geometry
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Call number:SPRINGER-2002-9789401599207:ONLINE Show nearby items on shelf
Title:Pairs of Compact Convex Sets Fractional Arithmetic with Convex Sets
Author(s): Diethard Pallaschke
Date:2002
Size:1 online resource (295 p.)
Note:10.1007/978-94-015-9920-7
Contents:I Convexity -- 1 Convex Sets and Sublinearity -- 2 Topological Vector Spaces -- 3 Compact Convex Sets -- II Minimal Pairs -- 4 Minimal Pairs of Convex Sets -- 5 The Cardinality of Minimal Pairs -- 6 Minimality under Constraints -- 7
Symmetries -- 8 Decompositions -- 9 Invariants -- 10 Applications -- III Semigroups -- 11 Fractions -- 12 Piecewise Linear Functions -- Open Questions -- List of Symbols
ISBN:9789401599207
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 548
Keywords: Mathematics , Convex geometry , Discrete geometry , Mathematical optimization , Mathematics , Convex and Discrete Geometry , Optimization
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Call number:SPRINGER-2002-9781461514855:ONLINE Show nearby items on shelf
Title:Generalized Concavity in Fuzzy Optimization and Decision Analysis
Author(s): Jaroslav Ramík
Date:2002
Size:1 online resource (296 p.)
Note:10.1007/978-1-4615-1485-5
Contents:I Theory -- 1. Preliminaries -- 2. Generalized Convex Sets -- 3. Generalized Concave Functions -- 4. Triangular Norms and T-Quasiconcave Functions -- 5. Aggregation Operators -- 6. Fuzzy Sets -- II Applications -- 7. Fuzzy
Multi-Criteria Decision Making -- 8. Fuzzy Mathematical Programming -- 9. Fuzzy Linear Programming -- 10. Fuzzy Sequencing and Scheduling
ISBN:9781461514855
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Series in Operations Research & Management Science: 41
Keywords: Mathematics , Operations research , Decision making , Convex geometry , Discrete geometry , Mathematical logic , Mathematical optimization , Calculus of variations , Mathematics , Optimization , Mathematical Logic and Foundations , Calculus of Variations and Optimal Control Optimization , Convex and Discrete Geometry , Operation Research/Decision Theory
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Call number:SPRINGER-2002-9781461500032:ONLINE Show nearby items on shelf
Title:Non-Connected Convexities and Applications
Author(s): Gabriela Cristescu
Date:2002
Size:1 online resource (368 p.)
Note:10.1007/978-1-4615-0003-2
ISBN:9781461500032
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 68
Keywords: Mathematics , Approximation theory , Functional analysis , Convex geometry , Discrete geometry , Mathematical optimization , Calculus of variations , Mathematics , Convex and Discrete Geometry , Approximations and Expansions , Functional Analysis , Calculus of Variations and Optimal Control Optimization , Optimization
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Call number:SPRINGER-2002-9781461300397:ONLINE Show nearby items on shelf
Title:Lectures on Discrete Geometry
Author(s):
Date:2002
Size:1 online resource (486 p.)
Note:10.1007/978-1-4613-0039-7
Contents:1 Convexity -- 1.1 Linear and Affine Subspaces, General Position -- 1.2 Convex Sets, Convex Combinations, Separation -- 1.3 Radon’s Lemma and Helly’s Theorem -- 1.4 Centerpoint and Harn Sandwich -- 2 Lattices and Minkowski’s Theorem
-- 2.1 Minkowski’s Theorem -- 2.2 General Lattices -- 2.3 An Application in Number Theory -- 3 Convex Independent Subsets -- 3.1 The Erd?s-Szekeres Theorem -- 3.2 Horton Sets -- 4 Incidence Problems -- 4.1 Formulation -- 4.2 Lower
Bounds: Incidences and Unit Distances -- 4.3 Point-Line Incidences via Crossing Numbers -- 4.4 Distinct Distances via Crossing Numbers -- 4.5 Point-Line Incidences via Cuttings -- 4.6 A Weaker Cutting Lemma -- 4.7 The Cutting Lemma: A
Tight Bound -- 5 Convex Polytopes -- 5.1 Geometric Duality -- 5.2 H-Polytopes and V-Polytopes -- 5.3 Faces of a Convex Polytope -- 5.4 Many Faces: The Cyclic Polytopes -- 5.5 The Upper Bound Theorem -- 5.6 The Gale Transform -- 5.7
Voronoi Diagrams -- 6 Number of Faces in Arrangements -- 6.1 Arrangements of Hyperplanes -- 6.2 Arrangements of Other Geometric Objects -- 6.3 Number of Vertices of Level at Most k -- 6.4 The Zone Theorem -- 6.5 The Cutting Lemma
Revisited -- 7 Lower Envelopes -- 7.1 Segments and Davenport-Schinzel Sequences -- 7.2 Segments: Superlinear Complexity of the Lower Envelope -- 7.3 More on Davenport-Schinzel Sequences -- 7.4 Towards the Tight Upper Bound for Segments
-- 7.5 Up to Higher Dimension: Triangles in Space -- 7.6 Curves in the Plane -- 7.7 Algebraic Surface Patches -- 8 Intersection Patterns of Convex Sets -- 8.1 The Fractional Helly Theorem -- 8.2 The Colorful Carathéodory Theorem -- 8.3
Tverberg’s Theorem -- 9 Geometric Selection Theorems -- 9.1 A Point in Many Simplices: The First Selection Lemma -- 9.2 The Second Selection Lemma -- 9.3 Order Types and the Same-Type Lemma -- 9.4 A Hypergraph Regularity Lemma -- 9.5 A
Positive-Fraction Selection Lemma -- 10 Transversals and Epsilon Nets -- 10.1 General Preliminaries: Transversals and Matchings -- 10.2 Epsilon Nets and VC-Dimension -- 10.3 Bounding the VC-Dimension and Applications -- 10.4 Weak
Epsilon Nets for Convex Sets -- 10.5 The Hadwiger-Debrunner (p, q)-Problem -- 10.6 A (p, q)-Theorem for Hyperplane Transversals -- 11 Attempts to Count k-Sets -- 11.1 Definitions and First Estimates -- 11.2 Sets with Many Halving Edges
-- 11.3 The Lovász Lemma and Upper Bounds in All Dimensions -- 11.4 A Better Upper Bound in the Plane -- 12 Two Applications of High-Dimensional Polytopes -- 12.1 The Weak Perfect Graph Conjecture -- 12.2 The Brunn-Minkowski Inequality
-- 12.3 Sorting Partially Ordered Sets -- 13 Volumes in High Dimension -- 13.1 Volumes, Paradoxes of High Dimension, and Nets -- 13.2 Hardness of Volume Approximation -- 13.3 Constructing Polytopes of Large Volume -- 13.4 Approximating
Convex Bodies by Ellipsoids -- 14 Measure Concentration and Almost Spherical Sections -- 14.1 Measure Concentration on the Sphere -- 14.2 Isoperimetric Inequalities and More on Concentration -- 14.3 Concentration of Lipschitz Functions
-- 14.4 Almost Spherical Sections: The First Steps -- 14.5 Many Faces of Symmetric Polytopes -- 14.6 Dvoretzky’s Theorem -- 15 Embedding Finite Metric Spaces into Normed Spaces -- 15.1 Introduction: Approximate Embeddings -- 15.2 The
Johnson-Lindenstrauss Flattening Lemma -- 15.3 Lower Bounds By Counting -- 15.4 A Lower Bound for the Hamming Cube -- 15.5 A Tight Lower Bound via Expanders -- 15.6 Upper Bounds for ??-Embeddings -- 15.7 Upper Bounds for Euclidean
Embeddings -- What Was It About? An Informal Summary -- Hints to Selected Exercises
ISBN:9781461300397
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 212
Keywords: Mathematics , Geometry , Convex geometry , Discrete geometry , Mathematics , Geometry , Convex and Discrete Geometry
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Call number:SPRINGER-2001-9789401717489:ONLINE Show nearby items on shelf
Title:Handbook of Metric Fixed Point Theory
Author(s):
Date:2001
Size:1 online resource (704 p.)
Note:10.1007/978-94-017-1748-9
Contents:1 Contraction mappings and extensions -- 2 Examples of fixed point free mappings -- 3 Classical theory of nonexpansive mappings -- 4 Geometrical background of metric fixed point theory -- 5 Some moduli and constants related to metric
fixed point theory -- 6 Ultra-methods in metric fixed point theory -- 7 Stability of the fixed point property for nonexpansive mappings -- 8 Metric fixed point results concerning measures of noncompactness -- 9 Renormings of l1 and c0
and fixed point properties -- 10 Nonexpansive mappings: boundary/inwardness conditions and local theory -- 11 Rotative mappings and mappings with constant displacement -- 12 Geometric properties related to fixed point theory in some
Banach function lattices -- 13 Introduction to hyperconvex spaces -- 14 Fixed points of holomorphic mappings: a metric approach -- 15 Fixed point and non-linear ergodic theorems for semigroups of non-linear mappings -- 16 Generic
aspects of metric fixed point theory -- 17 Metric environment of the topological fixed point theorems -- 18 Order-theoretic aspects of metric fixed point theory -- 19 Fixed point and related theorems for set-valued mappings
ISBN:9789401717489
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Functions of complex variables , Operator theory , Convex geometry , Discrete geometry , Mathematical logic , Mathematics , Functional Analysis , Operator Theory , Convex and Discrete Geometry , Functions of a Complex Variable , Mathematical Logic and Foundations
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Call number:SPRINGER-2001-9789401596329:ONLINE Show nearby items on shelf
Title:Semigroups in Geometrical Function Theory
Author(s): David Shoikhet
Date:2001
Size:1 online resource (222 p.)
Note:10.1007/978-94-015-9632-9
Contents:Preliminaries -- 1 The Wolff—Denjoy theory on the unit disk -- 2 Hyperbolic geometry on the unit disk and fixed points -- 3 Generation theory on the unit disk -- 4 Asymptotic behavior of continuous flows -- 5 Dynamical approach to
starlike and spirallike functions -- Author and Subject Index -- List of figures
ISBN:9789401596329
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Difference equations , Functional equations , Functions of complex variables , Special functions , Geometry , Convex geometry , Discrete geometry , Mathematics , Functions of a Complex Variable , Difference and Functional Equations , Geometry , Convex and Discrete Geometry , Special Functions
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Call number:SPRINGER-2001-9783034882668:ONLINE Show nearby items on shelf
Title:European Congress of Mathematics Barcelona, July 10–14, 2000 Volume II
Author(s):
Date:2001
Size:1 online resource (641 p.)
Note:10.1007/978-3-0348-8266-8
Contents:Table of Contents of Volume II -- Articles by Prize Winners -- Classification Results on Valuations on Convex Sets -- Towards a Microscopic Theory of Phase Coexistence -- Constructing Compact 8-Manifolds with Holonomy Spin(7) from
Calabi-Yau Orbifolds -- Banach KK-Theory and the Baum-Connes Conjecture -- An Introduction to Non-Commutative Mori Theory -- Geometric Methods in Complex Analysis -- Vanishing Cycles and Mutation -- Critical Exponents, Conformal
Invariance and Planar Brownian Motion -- Mini-Symposium on Computer Algebra -- Computer Algebra Algorithms for Linear Ordinary Differential and Difference Equations -- Some Introductory Remarks on Computer Algebra -- A Study of
Iteration Formulas for Root Finding, Where Mathematics, Computer Algebra and Software Engineering Meet -- Industrial Applications of Computer Algebra: Climbing Up a Mountain, Going Down a Hill -- Applications of Computer Algebra to
Algebraic Geometry, Singularity Theory and Symbolic-Numerical Solving -- Mini-Symposium on Curves over Finite Fields and Codes -- Explicit Towers of Drinfeld Modular Curves -- Curves over Finite Fields Attaining the Hasse-Weil Upper
Bound -- Asymptotically Good Towers of Global Fields -- Explicit Constructions of Towers of Function Fields with Many Rational Places -- Curves over Finite Fields and Codes -- Authentication Codes and Algebraic Curves -- Mini-Symposium
on Free Boundary Problems -- Some Aspects of Mean Curvature Flow in Presence of Nonsmooth Anisotropies -- A Phase-Field Model for Diffusion-Induced Grain Boundary Motion -- Evolution of a Closed Interface between Two Liquids of
Different Types -- Applications of a Local Energy Method to Systems of PDE’s Involving Free Boundaries -- Phase Boundaries in Alloys with Elastic Misfit -- Some Aspects of the Thin Film Equation -- A Brief Overview on the Obstacle
Problem -- The Impact of Monotonicity Formulas in Regularity of Free Boundaries -- A Free Boundary Problem: Contributions from Modern Analysis -- Mini-Symposium on Mathematical Finance- Theory and Practice -- Risk Sensitive Control
with Applications to Fixed Income Portfolio Management -- Wavelet Based PDE Valuation of Derivatives -- Some Analytic Facts on the Generalized Hyperbolic Model -- Functionals of Brownian Motion in Path-Dependent Option Valuation --
Optimal Portfolios under a Value at Risk Constraint -- Mini-Symposium on Quantum Chaology -- Trace Formulas and Spectral Statistics of Diffractive Systems -- Semiclassical Results in the Linear Response Theory -- The Berry- Tabor
Conjecture -- On Quantum Unique Ergodicity for Linear Maps of the Torus -- Mini-Symposium on Quantum Computing -- Bound Information: The Classical Analog to Bound Quantum Entanglement -- Mini-Symposium on String Theory and M-Theory --
D-Branes on Calabi-Yau Manifolds -- Knot Invariants and Chern-Simons Theory -- Topological Quantum Field Theory and Four-Manifolds -- D-Brane Conformal Field Theory and Bundles of Conformal Blocks -- From Quiver Diagrams to Particle
Physics -- Mini-Symposium on Symplectic and Contact Geometry and Hamiltonian Dynamics -- From Symplectic Packing to Algebraic Geometry and Back -- New Invariants of Legendrian Knots -- Contact Topology in Dimension Greater than Three
-- The Hamiltonian Seifert Conjecture: Examples and Open Problems -- The Fine Geometry of the Cantor Families of Invariant Tori in Hamiltonian Systems -- Symplectic and Contact Geometry and Hamiltonian Dynamics -- Simple Coisotropic
Projections and Caustics -- Mini-Symposium on Wavelet Applications in Signal Processing -- Reassigned Scalograms and Singularities -- The Impact of Wavelet Coefficient Correlations on Fractionally Differenced Process Estimation --
Wavelet-Based Modelling of Persistent Periodicities -- Network Traffic Modeling Using a Multifractal Wavelet Model -- Denoising Via Block Wiener Filtering in Wavelet Domain -- Wavelet Analysis of Discrete Time Series
ISBN:9783034882668
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics : 202
Keywords: Mathematics , Mathematics , Mathematics, general
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Call number:SPRINGER-2001-9781475767988:ONLINE Show nearby items on shelf
Title:The Steiner Ratio
Author(s): Dietmar Cieslik
Date:2001
Size:1 online resource (244 p.)
Note:10.1007/978-1-4757-6798-8
Contents:1 The Historical Genesis -- 2 Networks, Spaces and Algorithms -- 3 Shortest Trees in Metric Spaces — A Survey -- 4 The Steiner Ratio of Metric Spaces -- 5 The Steiner Ratio of Banach-Minkowski Spaces -- 6 Euclidean Spaces -- 7 The
Steiner Ratio of Neighboured Spaces -- 8 Banach-Minkowski Planes -- 9 The Steiner Ratio and the Embedding of Spaces -- 10 The Steiner Ratio and Discrete Geometry -- 11 The Dependence of the Steiner Ratio on the Dimension -- 12 Related
Questions -- References
ISBN:9781475767988
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Combinatorial Optimization: 10
Keywords: Computer science , Computer science , Algorithms , Convex geometry , Discrete geometry , Mathematical optimization , Computer Science , Discrete Mathematics in Computer Science , Optimization , Algorithms , Convex and Discrete Geometry
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Call number:SPRINGER-2000-9789401716871:ONLINE Show nearby items on shelf
Title:Geometric Aspects of Probability Theory and Mathematical Statistics
Author(s): V. V Buldygin
Date:2000
Size:1 online resource (304 p.)
Note:10.1007/978-94-017-1687-1
Contents:1. Convex sets in vector spaces -- 2. Brunn-Minkowski inequality -- 3. Convex polyhedra -- 4. Two classical isoperimetric problems -- 5. Some infinite-dimensional vector spaces -- 6. Probability measures and random elements -- 7.
Convergence of random elements -- 8. The structure of supports of Borel measures -- 9. Quasi-invariant probability measures -- 10. Anderson inequality and unimodal distributions -- 11. Oscillation phenomena and extensions of measures
-- 12. Comparison principles for Gaussian processes -- 13. Integration of vector-valued functions and optimal estimation of stochastic processes -- Appendix 1: Some properties of convex curves -- Appendix 2: Convex sets and number
theory -- Appendix 3: Measurability of cardinals
ISBN:9789401716871
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 514
Keywords: Mathematics , Functional analysis , Measure theory , Convex geometry , Discrete geometry , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics, general , Convex and Discrete Geometry , Measure and Integration , Functional Analysis
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Call number:SPRINGER-2000-9789401140669:ONLINE Show nearby items on shelf
Title:Totally Convex Functions for Fixed Points Computation and Infinite Dimensional Optimization
Author(s): Dan Butnariu
Date:2000
Size:1 online resource (205 p.)
Note:10.1007/978-94-011-4066-9
Contents:1: Totally Convex Functions -- 1.1. Convex Functions and Bregman Distances -- 1.2. The Modulus of Total Convexity -- 1.3. Total Versus Locally Uniform Convexity -- 1.4. Particular Totally Convex Functions -- 2: Computation of Fixed
Points -- 2.1. Totally Nonexpansive Operators -- 2.2. Totally Nonexpansive Families of Operators -- 2.3. Stochastic Convex Feasibility Problems -- 2.4. Applications in Particular Banach Spaces -- 3: Infinite Dimensional Optimization --
3.1. A Proximal Point Method -- 3.2. Convergence of the Proximal Point Method -- 3.3. The Basics of a Duality Theory -- 3.4. An Augmented Lagrangian Method -- 3.5. Unconstrained Convex Minimization
ISBN:9789401140669
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 40
Keywords: Mathematics , Functional analysis , Integral equations , Operator theory , Convex geometry , Discrete geometry , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Convex and Discrete Geometry , Functional Analysis , Operator Theory , Integral Equations
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Call number:SPRINGER-2000-9783642597213:ONLINE Show nearby items on shelf
Title:Discontinuous Galerkin Methods Theory, Computation and Applications
Author(s):
Date:2000
Size:1 online resource (470 p.)
Note:10.1007/978-3-642-59721-3
Contents:I Overview -- The Development of Discontinuous Galerkin Methods -- II Invited Papers -- Steps Toward a Robust High-Order Simulation Tool for Aerospace Applications -- Simplified Discontinuous Galerkin Methods for Systems of
Conservation Laws with Convex Extension -- A High Order Discontinuous Galerkin Method for Compressible Turbulent Flows -- Discontinuous Galerkin Methods for Elliptic Problems -- Analysis of Finite Element Methods for Linear Hyperbolic
Problems -- Software for the Parallel Adaptive Solution of Conservation Laws by Discontinuous Galerkin Methods -- Simulation of Gravity Flow of Granular Materials in Silos -- A Comparison of Discontinuous and Continuous Galerkin
Methods Based on Error Estimates, Conservation, Robustness and Efficiency -- The Utility of Modeling and Simulation in Determining Transport Performance Properties of Semiconductors -- A Discontinuous Galerkin Method for the
Incompressible Navier-Stokes Equations -- Full Convergence for Hyperbolic Finite Elements -- A Conservative DGM for Convection-Diffusion and Navier-Stokes Problems -- GMRES Discontinuous Galerkin Solution of the Compressible
Navier-Stokes Equations -- Explicit Finite Element Methods for Linear Hyperbolic Systems -- hp-DGFEM for Partial Differential Equations with Nonnegative Characteristic Form -- A Discontinuous Galerkin Method Applied to Nonlinear
Parabolic Equations -- III Contributed Papers -- Parallel Iterative Discontinuous Galerkin Finite-Element Methods -- A Discontinuous Projection Algorithm for Hamilton Jacobi Equations -- Successes and Failures of Discontinuous Galerkin
Methods in Viscoelastic Fluid Analysis -- High Order Current Basis Functions for Electromagnetic Scattering of Curved Surfaces -- An Adaptive Discontinuous Galerkin Model for Coupled Viscoplastic Crack Growth and Chemical Transport --
An Optimal Estimate for the Local Discontinuous Galerkin Method -- Post-Processing of Galerkin Methods for Hyperbolic Problems -- to Discontinuous Wavelets -- The Local Discontinuous Galerkin Method for Contaminant Transport Problems
-- Discontinuous Galerkin Method for the Numerical Solution of Euler Equations in Axisymmetric Geometry -- Ten Years Using Discontinuous Galerkin Methods for Polymer Processing Problems -- Using Krylov-Subspace Iterations in
Discontinuous Galerkin Methods for Nonlinear Reaction-Diffusion Systems -- An Abridged History of Cell Discretization -- The Effect of the Least Square Procedure for Discontinuous Galerkin Methods for Hamilton-Jacobi Equations -- A
Posteriori Error Estimate in the Case of Insufficient Regularity of the Discrete Space -- Discontinuous Spectral Element Approximation of Maxwell's Equations -- A Posteriori Error Estimation for Adaptive Discontinuous Galerkin
Approximations of Hyperbolic Systems -- A Numerical Example on the Performance of High Order Discontinuous Galerkin Method for 2D Incompressible Flows -- A Discontinuous Galerkin Method in Moving Domains -- Discontinuous Galerkin for
Hyperbolic Systems with Stiff Relaxation -- Finite Element Output Bounds for Parabolic Equations: Application to Heat Conduction Problems -- 3D Unstructured Mesh ALE Hydrodynamics with the Upwind Discontinuous Galerkin Method -- Some
Remarks on the Accuracy of a Discontinuous Galerkin Method -- Coupling Continuous and Discontinuous Techniques: An Adaptive Approach -- A Discontinuous Galerkin Method for the Shallow Water Equations with Source Terms -- Dispersion
Analysis of the Continuous and Discontinuous Galerkin Formulations -- The Cell Discretization Algorithm An Overview -- Accuracy, Resolution, and Computational Complexity of a Discontinuous Galerkin Finite Element Method -- An ELLAM
Scheme for Porous Medium Flows -- Application of the Discontinuous Galerkin Method to Maxwell's Equations Using Unstructured Polymorphic hp-Finite Elements -- A Space-Time Discontinuous Galerkin Method for Elastodynamic Analysis --
Nonconforming, Enhanced Strain, and Mixed Finite Element Methods — A Unified Approach
ISBN:9783642597213
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Computational Science and Engineering: 11
Keywords: Mathematics , Computer science , Computer mathematics , Physics , Computational intelligence , Mathematics , Computational Mathematics and Numerical Analysis , Computational Intelligence , Mathematical Methods in Physics , Numerical and Computational Physics , Math Applications in Computer Science
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Call number:SPRINGER-2000-9783540453925:ONLINE Show nearby items on shelf
Title:Geometric Aspects of Functional Analysis Israel Seminar 1996–2000
Author(s):
Date:2000
Size:1 online resource (298 p.)
Note:10.1007/BFb0107201
Contents:The transportation cost for the cube -- The uniform concentration of measure phenomenon in ? p n (1 ? p ? 2) -- An editorial comment on the preceding paper -- A remark on the slicing problem -- Remarks on the growth of L p -norms of
polynomials -- Positive lyapounov exponents for most energies -- Anderson localization for the band model -- Convex bodies with minimal mean width -- Euclidean projections of a p-convex body -- Remarks on minkowski symmetrizations --
Average volume of sections of star bodies -- Between sobolev and poincaré -- Random aspects of high-dimensional convex bodies -- A geometric lemma and duality of entropy numbers -- Stabilized asymptotic structures and envelopes in
banach spaces -- On the isotropic constant of Non-symmetric convex bodies -- Concentration on the ? p n ball -- Shannon’s entropy power inequality via restricted minkowski sums -- Notes on an inequality by pisier for functions on the
discrete cube -- More on embedding subspaces of L p into ? p N , 0 p < 1 -- Seminar talks
ISBN:9783540453925
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1745
Keywords: Mathematics , Functional analysis , Convex geometry , Discrete geometry , Probabilities , Mathematics , Functional Analysis , Convex and Discrete Geometry , Probability Theory and Stochastic Processes
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Call number:SPRINGER-1999-9781461553199:ONLINE Show nearby items on shelf
Title:Geometric Methods and Optimization Problems
Author(s): V Boltyanski
Date:1999
Size:1 online resource (432 p.)
Note:10.1007/978-1-4615-5319-9
ISBN:9781461553199
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Combinatorial Optimization: 4
Keywords: Mathematics , Numerical analysis , Convex geometry , Discrete geometry , Mathematical optimization , Calculus of variations , Combinatorics , Mathematics , Optimization , Calculus of Variations and Optimal Control Optimization , Convex and Discrete Geometry , Numeric Computing , Combinatorics
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Call number:SPRINGER-1999-9781461540601:ONLINE Show nearby items on shelf
Title:Minimax Under Transportation Constrains
Author(s): Vladimir Tsurkov
Date:1999
Size:1 online resource (310 p.)
Note:10.1007/978-1-4615-4060-1
ISBN:9781461540601
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 27
Keywords: Mathematics , Algebra , Ordered algebraic structures , Information theory , Convex geometry , Discrete geometry , Mathematical optimization , Combinatorics , Mathematics , Optimization , Combinatorics , Convex and Discrete Geometry , Information and Communication, Circuits , Order, Lattices, Ordered Algebraic Structures
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Call number:SPRINGER-1999-9781461332855:ONLINE Show nearby items on shelf
Title:Progress in Optimization Contributions from Australasia
Author(s): Andrew Eberhard
Date:1999
Size:1 online resource (302 p.)
Note:10.1007/978-1-4613-3285-5
Contents:I Non-Smooth Analysis -- 1 A survey of Clarke’s subdifferential and the differentiability of locally Lipschitz functions -- 2 Continuous approximation of nonsmooth mappings -- II Generalized Convexity -- 3 Generalised convexity
properties of marginal functions -- 4 Fractional programming with invexity -- 5 Supremal generators of spaces of homogeneous functions -- 6 Higher order convexity and duality in multiobjective programming problems -- III Algorithms for
Nonsmooth Programming -- 7 A Survey of some nonsmooth equations and smoothing Newton methods -- 8 Minimization methods for one class of nonsmooth functions and calculation of semi-equilibrium prices -- 9 Potential reduction methods for
the nonlinear complementarity problem -- 10 Approximations to the Clarke generalized Jacobians and nonsmooth least-squares minimization -- IV Global Optimization -- 11 A parametric approach to global optimization problems of a special
kind -- 12 A Concave composite programming perspective on DC programming -- V Control Methodologies -- 13 A survey of the control parametrization and control parametrization enhancing methods for constrained optimal control problems --
14 Multivariable controllers with time-domain inequality constraints
ISBN:9781461332855
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Optimization: 30
Keywords: Mathematics , Functional analysis , Algorithms , Convex geometry , Discrete geometry , Mathematical optimization , Calculus of variations , Mathematics , Optimization , Calculus of Variations and Optimal Control Optimization , Convex and Discrete Geometry , Algorithms , Functional Analysis
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Call number:SPRINGER-1998-9789401711623:ONLINE Show nearby items on shelf
Title:Continuous Selections of Multivalued Mappings
Author(s): Dušan Repovš
Date:1998
Size:1 online resource (359 p.)
Note:10.1007/978-94-017-1162-3
Contents:A. Theory -- §0. Preliminaries -- §1. Convex-valued selection theorem -- §2. Zero-dimensional selection theorem -- §3. Relations between Zero-dimensional and Convex-valued selection theorems -- §4. Compact-valued selection theorem --
§5. Finite-dimensional selection theorem -- §6. Examples and counterexamples -- §7. Addendum: New proof of Finite-dimensional selection theorem -- B. Results -- §1. Characterization of normality-type properties -- §2. Unified selection
theorems -- §3. Selection theorems for non-lower semicontinuous mappings -- §4. Selection theorems for nonconvex-valued maps -- §5. Miscellaneous results -- §6. Measurable selections -- C. Applications -- §1. First applications -- §2.
Regular mappings and locally trivial fibrations -- §3. Fixed-point theorems -- §4. Homeomorphism Group Problem -- §5. Soft mappings -- §6. Metric projections -- §7. Differential inclusions -- References
ISBN:9789401711623
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 455
Keywords: Mathematics , Functional analysis , Global analysis (Mathematics) , Manifolds (Mathematics) , Convex geometry , Discrete geometry , Topology , Complex manifolds , Mathematics , Topology , Convex and Discrete Geometry , Functional Analysis , Global Analysis and Analysis on Manifolds , Manifolds and Cell Complexes (incl. Diff.Topology)
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Call number:SPRINGER-1998-9789401591195:ONLINE Show nearby items on shelf
Title:Connectedness and Necessary Conditions for an Extremum
Author(s): Alexander P Abramov
Date:1998
Size:1 online resource (204 p.)
Note:10.1007/978-94-015-9119-5
Contents:0. Preliminaries -- 1. Alternative conditions for an extremum of the first order -- 2. Alternative conditions for an extremum in nonlinear programming -- 3. Alternative conditions for an extremum in optimal control problems -- 4.
Necessary conditions for an extremum in a measure space -- List of notation
ISBN:9789401591195
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 431
Keywords: Mathematics , Convex geometry , Discrete geometry , Mathematical optimization , Calculus of variations , Topology , Economic theory , Mathematics , Optimization , Calculus of Variations and Optimal Control Optimization , Economic Theory/Quantitative Economics/Mathematical Methods , Convex and Discrete Geometry , Topology
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Call number:SPRINGER-1998-9789401152068:ONLINE Show nearby items on shelf
Title:Convex and Starlike Mappings in Several Complex Variables
Author(s): Sheng Gong
Date:1998
Size:1 online resource (209 p.)
Note:10.1007/978-94-011-5206-8
Contents:I Criteria for starlikeness for holomorphic mappings -- II Criteria for convexity for holomorphic mappings -- III The growth theorem for holomorphic starlike mappings -- IV The growth theorem for holomorphic convex mappings -- V The
distortion theorem for the linearinvariant family -- VI The distortion theorem for holomorphic convex and starlike mappings -- VII The geometrical properties for holomorphic convex mappings on the unit ball -- References -- List of
symbols
ISBN:9789401152068
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 435
Keywords: Mathematics , Nonassociative rings , Rings (Algebra) , Functions of complex variables , Convex geometry , Discrete geometry , Differential geometry , Mathematics , Several Complex Variables and Analytic Spaces , Functions of a Complex Variable , Differential Geometry , Convex and Discrete Geometry , Non-associative Rings and Algebras
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Call number:SPRINGER-1998-9783540687115:ONLINE Show nearby items on shelf
Title:Markov Set-Chains
Author(s): Darald J Hartfiel
Date:1998
Size:1 online resource (132 p.)
Note:10.1007/BFb0094586
Contents:Stochastic matrices and their variants -- to Markov set-chains -- Convergence of Markov set-chains -- Behavior in Markov set-chains
ISBN:9783540687115
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1695
Keywords: Mathematics , Computer science , Matrix theory , Algebra , Convex geometry , Discrete geometry , Probabilities , Biomathematics , Mathematics , Probability Theory and Stochastic Processes , Linear and Multilinear Algebras, Matrix Theory , Convex and Discrete Geometry , Mathematical and Computational Biology , Math Applications in Computer Science
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Call number:SPRINGER-1998-9781475765854:ONLINE Show nearby items on shelf
Title:Steiner Minimal Trees
Author(s): Dietmar Cieslik
Date:1998
Size:1 online resource (322 p.)
Note:10.1007/978-1-4757-6585-4
Contents:1 Introduction -- 2 SMT and MST in Metric Spaces — A Survey -- 3 Fermat’s Problem in Banach-Minkowski Spaces -- 4 The Degrees of the Vertices in Shortest Trees -- 5 1-Steiner-Minimal-Trees -- 6 Methods to Construct Shortest Trees -- 7
The Steiner Ratio of Banach-Minkowski Spaces -- 8 Generalizations -- References
ISBN:9781475765854
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 23
Keywords: Computer science , Computer science , Convex geometry , Discrete geometry , Mathematical optimization , Computer Science , Discrete Mathematics in Computer Science , Optimization , Convex and Discrete Geometry
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Call number:SPRINGER-1997-9789401711357:ONLINE Show nearby items on shelf
Title:Conflict-Controlled Processes
Author(s): A Chikrii
Date:1997
Size:1 online resource (404 p.)
Note:10.1007/978-94-017-1135-7
Contents:1 Auxiliary Mathematical Results -- 2 The Method of Resolving Functions -- 3 Group Pursuit -- 4 Complete Conflict Controllability -- 5 Successive Pursuit -- 6 Interaction of Group of Controlled Objects -- Bibliographic Commentary --
References
ISBN:9789401711357
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 405
Keywords: Mathematics , Game theory , System theory , Convex geometry , Discrete geometry , Mathematical optimization , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Game Theory, Economics, Social and Behav. Sciences , Optimization , Systems Theory, Control , Convex and Discrete Geometry
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Call number:SPRINGER-1997-9789401588225:ONLINE Show nearby items on shelf
Title:Fixed Point Theory and Best Approximation: The KKM-map Principle
Author(s): Sankatha Singh
Date:1997
Size:1 online resource (222 p.)
Note:10.1007/978-94-015-8822-5
Contents:1 Introductory Concepts and Fixed Point Theorems -- 2 Ky Fan’s Best Approximation Theorem -- 3 Principle and Applications of KKM-maps -- 4 Partitions of Unity and Applications -- 5 Application of Fixed Points to Approximation Theory
ISBN:9789401588225
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 424
Keywords: Mathematics , Approximation theory , Functional analysis , Operator theory , Game theory , Convex geometry , Discrete geometry , Mathematics , Operator Theory , Functional Analysis , Approximations and Expansions , Convex and Discrete Geometry , Game Theory, Economics, Social and Behav. Sciences
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Call number:SPRINGER-1997-9783642592379:ONLINE Show nearby items on shelf
Title:Excursions into Combinatorial Geometry
Author(s): Vladimir Boltyanski
Date:1997
Size:1 online resource (423 p.)
Note:10.1007/978-3-642-59237-9
Contents:I. Convexity -- §1 Convex sets -- §2 Faces and supporting hyperplanes -- §3 Polarity -- §4 Direct sum decompositions -- §5 The lower semicontinuity of the operator “exp” -- §6 Convex cones -- §7 The Farkas Lemma and its generalization
-- §8 Separable systems of convex cones -- II. d-Convexity in normed spaces -- §9 The definition of d-convex sets -- §10 Support properties of d-convex sets -- §11 Properties of d-convex flats -- §12 The join of normed spaces -- §13
Separability of d-convex sets -- §14 The Helly dimension of a set family -- §15 d-Star-shaped sets -- III. H-convexity -- §16 The functional md for vector systems -- §17 The ?-displacement Theorem -- §18 Lower semicontinuity of the
functional md -- §19 The definition of H-convex sets -- §20 Upper semicontinuity of the H-convex hull -- §21 Supporting cones of H-convex bodies -- §22 The Helly Theorem for H-convex sets -- §23 Some applications of H-convexity -- §24
Some remarks on connection between d-convexity and H-convexity -- IV. The Szökefalvi-Nagy Problem -- §25 The Theorem of Szökefalvi-Nagy and its generalization -- §26 Description of vector systems with md H = 2 that are not one-sided --
§27 The 2-systems without particular vectors -- §28 The 2-system with particular vectors -- §29 The compact, convex bodies with md M = 2 -- §30 Centrally symmetric bodies -- V. Borsuk’s partition problem -- §31 Formulation of the
problem and a survey of results -- §32 Bodies of constant width in Euclidean and normed spaces -- §33 Borsuk’s problem in normed spaces -- VI. Homothetic covering and illumination -- §34 The main problem and a survey of results -- §35
The hypothesis of Gohberg-Markus-Hadwiger -- §36 The infinite values of the functional b, b2032, c, c2032, -- §37 Inner illumination of convex bodies -- §38 Estimates for the value of the functional p(K) -- VII. Combinatorial geometry
of belt bodies -- §39 The integral respresentation of zonoids -- §40 Belt vectors of a compact, convex body -- §41 Definition of belt bodies -- §42 Solution of the illumination problem for belt bodies -- §43 Solution of the
Szökefalvi-Nagy problem for belt bodies -- §44 Minimal fixing systems -- VIII. Some research problems -- Author Index -- List of Symbols
ISBN:9783642592379
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Geometry , Convex geometry , Discrete geometry , Calculus of variations , Combinatorics , Mathematics , Geometry , Convex and Discrete Geometry , Combinatorics , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-1997-9783642591013:ONLINE Show nearby items on shelf
Title:Combinatorial Theory
Author(s): Martin Aigner
Date:1997
Size:1 online resource (483 p.)
Note:10.1007/978-3-642-59101-3
Contents:Preliminaries -- 1. Sets -- 2. Graphs -- 3. Posets -- 4. Miscellaneous Notation -- I. Mappings -- 1. Classes of Mappings -- 2. Fundamental Orders -- 3. Permutations -- 4. Patterns -- Notes -- II. Lattices -- 1. Distributive Lattices
-- 2. Modular and Semimodular Lattices -- 3. Geometric Lattices -- 4. The Fundamental Examples -- Notes -- III. Counting Functions -- 1. The Elementary Counting Coefficients -- 2. Recursion and Inversion -- 3. Binomial Sequences -- 4.
Order Functions -- Notes -- IV. Incidence Function -- 1. The Incidence Algebra -- 2. Möbius Inversion -- 3. The Möbius Function -- 4. Valuations -- Notes -- V. Generating Functions -- 1. Ordered Structures -- 2. Unordered Structures --
3. G-patterns -- 4. G, H-patterns -- Notes -- VI. Matroids: Introduction -- 1. Fundamental Concepts -- 2. Fundamental Examples -- 3. Construction of Matroids -- 4. Duality and Connectivity -- Notes -- VII. Matroids: Further Theory --
1. Linear Matroids -- 2. Binary Matroids -- 3. Graphic Matroids -- 4. Transversal Matroids -- Notes -- VIII. Combinatorial Order Theory -- 1. Maximum-Minimum Theorems -- 2. Transversal Theorems -- 3. Sperner Theorems -- 4. Ramsey
Theorems -- Notes -- List of Symbols
ISBN:9783642591013
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Ordered algebraic structures , Convex geometry , Discrete geometry , Combinatorics , Mathematics , Combinatorics , Convex and Discrete Geometry , Order, Lattices, Ordered Algebraic Structures
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Call number:SPRINGER-1997-9783642042959:ONLINE Show nearby items on shelf
Title:Geometry of Cuts and Metrics
Author(s): Michel Marie Deza
Date:1997
Size:1 online resource (588 p.)
Note:10.1007/978-3-642-04295-9
Contents:Outline of the Book -- I.Measure Aspects: El-Embeddability and Probability -- Preliminaries on Distances -- The Cut Cone and #x2113-Metrics -- The Correlation Cone and {0. 1}-Covariances -- Conditions for -Embeddability -- Operations
-- -Metrics from Lattices, Semigroups and Normed Spaces -- Metric Transforms of -Spaces -- Lipschitz Embeddings -- Dimensionality Questions for -Embeddings -- Examples of the Use of the -Metric -- Basic Definitions -- I1.Hypermetric
Spaces: an Approach via Geometry of Numbers -- Preliminaries on Lattices -- Hypermetrics and Delaunay Polytopes -- Delaunay Polytopes: Rank and Hypermetric Faces -- Extreme Delaunay Polytopes -- Hypermetric Graphs -- I11.Isometric
Embeddings of Graphs -- Preliminaries on Graphs -- Isometric Embeddings of Graphs into Hypercubes -- Isometric Embeddings of Graphs into Cartesian Products -- -Graphs -- IV.Hypercube Embeddings and Designs -- Rigidity of the
Equidistant Metric -- Hypercube Embeddings of the Equidistant Metric -- Recognition of Hypercube Embeddable Metrics -- Cut Lattices, Quasi -Distances and Hilbert Bases -- V.Facets of the Cut Cone and Polytope -- Operations on Valid
Inequalities and Facets -- Triangle Inequalities -- Hypermetric Inequalities -- Clique-Web Inequalities -- Other Valid Inequalities and Facets -- Geometric Properties
ISBN:9783642042959
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algorithms and Combinatorics: 15
Keywords: Mathematics , Geometry , Convex geometry , Discrete geometry , Number theory , Discrete mathematics , Combinatorics , Graph theory , Mathematics , Discrete Mathematics , Geometry , Graph Theory , Combinatorics , Convex and Discrete Geometry , Number Theory
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Call number:SPRINGER-1997-9783034889421:ONLINE Show nearby items on shelf
Title:General Inequalities 7 7th International Conference at Oberwolfach, November 13–18, 1995
Author(s):
Date:1997
Size:1 online resource (404 p.)
Note:10.1007/978-3-0348-8942-1
Contents:Inequalities in Analysis -- Higher dimensional Hardy inequality -- Integral inequalities for algebraic polynomials -- Inequalities of Gauß-Minkowski type -- Natural norm inequalities in nonlinear transforms -- Inequalities for
Matrices and Discrete Problems -- Positive definiteness of discrete quadratic functionals -- Stable norms — Examples and remarks -- Applications of order preserving inequalities to a generalized relative operator entropy -- The
arithmetic mean — the geometric mean and related matrix inequalities -- Inequalities for Eigenvalue Problems -- Inequalities for the first eigenvalues of the clamped plate and buckling problems -- One the Payne-Pólya-Weinberger
conjecture on the n-dimensional sphere -- Norm eigenvalue bounds for some Sturm-Liouville problems -- Discontinuous dependence of the n-th Sturm-Liouville problem -- Inequalities for Differential Operators -- Note on Wirtinger’s
inequality -- Opial-type inequalities involving higher order partial derivatives of two functions -- The HELP type integral inequalities for 2nth order differential operators -- An estimate related to the Gagliardo-Nirenberg inequality
-- Sobolev inequalities in 2-dimensional hyperbolic space -- Convexity -- On the separation with n-additive functions -- Convexity of power functions with respect to symmetric homogeneous means -- Convex functions with respect to an
arbitrary mean -- Separation by semidefinite bilinear forms -- Inequalities in Functional Analysis and Functional Equations -- Inequalities for selection probabilities -- Delta-exponential mappings in Banach algebras -- On a problem of
S.M. Ulam and the asymptotic stability of the Cauchy functional equation with applications -- Die Funktionalgleichung $$ f(x) + \max \left\{ {f(y),\,f\left( { - y} \right)} \right\} = \max \left\{ {f\left( {x + y} \right),\,y\left( {x
- y} \right)} \right\} $$ -- Applications -- Asymptotic analysis of nonlinear thin layers -- The opaque square and the opaque circle -- Enclosure methods with existence proof for elliptic differential equations -- Weak persistence in
Lotka-Volterra populations -- Uniqueness for degenerate elliptic equations via Serrin’s principle -- Problems and Remarks -- Overdetermined Hardy inequalities -- A condition for monotony -- A conjectured inequality of T.J. Lyons -- A
theorem of Pommerenke and a conjecture of Erd?s -- Problems on finite sums decompositions of functions
ISBN:9783034889421
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:ISNM International Series of Numerical Mathematics : 123
Keywords: Mathematics , Algebra , Numerical analysis , Geometry , Mathematics , Numerical Analysis , Algebra , Geometry
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Call number:SPRINGER-1997-9781461563570:ONLINE Show nearby items on shelf
Title:Smooth Nonlinear Optimization in R n
Author(s): Tamás Rapcsák
Date:1997
Size:1 online resource (376 p.)
Note:10.1007/978-1-4615-6357-0
ISBN:9781461563570
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 19
Keywords: Mathematics , Operations research , Decision making , Software engineering , Convex geometry , Discrete geometry , Differential geometry , Mathematical optimization , Probabilities , Mathematics , Optimization , Software Engineering/Programming and Operating Systems , Probability Theory and Stochastic Processes , Operation Research/Decision Theory , Differential Geometry , Convex and Discrete Geometry
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Call number:SPRINGER-1997-9781461540984:ONLINE Show nearby items on shelf
Title:Optimization on Low Rank Nonconvex Structures
Author(s): Hiroshi Konno
Date:1997
Size:1 online resource (460 p.)
Note:10.1007/978-1-4615-4098-4
ISBN:9781461540984
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 15
Keywords: Mathematics , Operations research , Decision making , Convex geometry , Discrete geometry , Mathematical optimization , Management science , Mathematics , Optimization , Operation Research/Decision Theory , Operations Research, Management Science , Convex and Discrete Geometry
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Call number:SPRINGER-1996-9783540496403:ONLINE Show nearby items on shelf
Title:Realization Spaces of Polytopes
Author(s): Jürgen Richter-Gebert
Date:1996
Size:1 online resource (188 p.)
Note:10.1007/BFb0093761
Contents:The objects and the tools -- The universality theorem -- Applications of university -- Three-dimensional polytopes -- Alternative construction techniques -- Problems
ISBN:9783540496403
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1643
Keywords: Mathematics , Algebraic geometry , Convex geometry , Discrete geometry , Combinatorics , Mathematics , Convex and Discrete Geometry , Combinatorics , Algebraic Geometry
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Call number:SPRINGER-1996-9781461384816:ONLINE Show nearby items on shelf
Title:Strange Phenomena in Convex and Discrete Geometry
Author(s): Chuanming Zong
Date:1996
Size:1 online resource (10 p.)
Note:10.1007/978-1-4613-8481-6
Contents:1 Borsuk’s Problem -- §1 Introduction -- §2 The Perkal-Eggleston Theorem -- §3 Some Remarks -- §4 Larman’s Problem -- §5 The Kahn-Kalai Phenomenon -- 2 Finite Packing Problems -- §1 Introduction -- §2 Supporting Functions, Area
Functions, Minkowski Sums, Mixed Volumes, and Quermassintegrals -- §3 The Optimal Finite Packings Regarding Quermassintegrals -- §4 The L. Fejes Tóth-Betke-Henk-Wills Phenomenon -- §5 Some Historical Remarks -- 3 The Venkov-McMullen
Theorem and Stein’s Phenomenon -- §1 Introduction -- §2 Convex Bodies and Their Area Functions -- §3 The Venkov-McMullen Theorem -- §4 Stein’s Phenomenon -- §5 Some Remarks -- 4 Local Packing Phenomena -- §1 Introduction -- §2 A
Phenomenon Concerning Blocking Numbers and Kissing Numbers -- §3 A Basic Approximation Result -- §4 Minkowski’s Criteria for Packing Lattices and the Densest Packing Lattices -- §5 A Phenomenon Concerning Kissing Numbers and Packing
Densities -- §6 Remarks and Open Problems -- 5 Category Phenomena -- §1 Introduction -- §2 Gruber’s Phenomenon -- §3 The Aleksandrov-Busemann-Feller Theorem -- §4 A Theorem of Zamfirescu -- §5 The Schneider-Zamfirescu Phenomenon -- §6
Some Remarks -- 6 The Busemann-Petty Problem -- §1 Introduction -- §2 Steiner Symmetrization -- §3 A Theorem of Busemann -- §4 The Larman-Rogers Phenomenon -- §5 Schneider’s Phenomenon -- §6 Some Historical Remarks -- 7 Dvoretzky’s
Theorem -- §1 Introduction -- §2 Preliminaries -- §3 Technical Introduction -- §4 A Lemma of Dvoretzky and Rogers -- §5 An Estimate for ?V(AV) -- §6 ?-nets and ?-spheres -- §7 A Proof of Dvoretzky’s Theorem -- §8 An Upper Bound for M
(n, ?) -- §9 Some Historical Remarks -- Inedx
ISBN:9781461384816
Series:eBooks
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Series:Springer eBooks
Keywords: Mathematics , Geometry , Mathematics , Geometry
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Call number:SPRINGER-1995-9789401102650:ONLINE Show nearby items on shelf
Title:Subdifferentials: Theory and Applications
Author(s): A. G Kusraev
Date:1995
Size:1 online resource (405 p.)
Note:10.1007/978-94-011-0265-0
Contents:1. Convex Correspondences and Operators -- 1. Convex Sets -- 2. Convex Correspondences -- 3. Convex Operators -- 4. Fans and Linear Operators -- 5. Systems of Convex Objects -- 6. Comments -- 2. Geometry of Subdifferentials -- 1. The
Canonical Operator Method -- 2. Extremal Structure of Subdifferentials -- 3. Subdifferentials of Operators Acting in Modules -- 4. The Intrinsic Structure of Subdifferentials -- 5. Caps and Faces -- 6. Comments -- 3. Convexity and
Openness -- 1. Openness of Convex Correspondences -- 2. The Method of General Position -- 3. Calculus of Polars -- 4. Dual Characterization of Openness -- 5. Openness and Completeness -- 6. Comments -- 4. The Apparatus of
Subdifferential Calculus -- 1. The Young-Fenchel Transform -- 2. Formulas for Subdifferentiation -- 3. Semicontinuity -- 4. Maharam Operators -- 5. Disintegration -- 6. Infinitesimal Sub differentials -- 7. Comments -- 5. Convex
Extremal Problems -- 1. Vector Programs. Optimality -- 2. The Lagrange Principle -- 3. Conditions for Optimality and Approximate Optimality -- 4. Conditions for Infinitesimal Optimality -- 5. Existence of Generalized Solutions -- 6.
Comments -- 6. Local Convex Approximations -- 1. Classification of Local Approximations -- 2. Kuratowski and Rockafellar Limits -- 3. Approximations Determined by a Set of Infinitesimals -- 4. Approximation to the Composition of Sets
-- 5. Subdifferentials of Nonsmooth Operators -- 6. Comments -- References -- Author Index -- Symbol Index
ISBN:9789401102650
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 323
Keywords: Mathematics , Functional analysis , Operator theory , Convex geometry , Discrete geometry , Mathematical logic , Mathematical optimization , Mathematics , Functional Analysis , Optimization , Convex and Discrete Geometry , Operator Theory , Mathematical Logic and Foundations
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Call number:SPRINGER-1995-9781461335573:ONLINE Show nearby items on shelf
Title:Minimax and Applications
Author(s):
Date:1995
Size:1 online resource (296 p.)
Note:10.1007/978-1-4613-3557-3
Contents:5? -- 3. 15/4? ? ? ? 5? -- 4. 5/2? ? ? < 15/4? -- 5. ? < 2.5? -- References -- A Study of On-Line Scheduling Two-Stage Shops -- 1. Introduction -- 2. Definitions and Preliminaries -- 3. A Lower Bound for O2??max -- 4. An Algorithm for
O2??max -- 5. A Best Algorithm for O2?pmtn??max -- 6. On Flow and Job Shops -- 7. Discussions -- References -- Maxmin Formulation of the Apportionments of Seats to a Parliament -- 1. Introduction -- 2. Concepts and models -- 3.
Illustrative examples -- 4. Discussion -- References -- On Shortest k-Edge Connected Steiner Networks with Rectilinear Distance -- 1. Introduction -- 2. Technical Preliminaries -- 3. Main Results -- References -- Mutually Repellant
Sampling -- 1. Introduction -- 2. Mutually Repellant Sampling -- 3. Max-Min Distance Sampling -- 4. Max-Min-Selection Distance Sampling -- 5. Max-Average Distance Sampling -- 6. Lower Bounds -- 7. Applications and Open Questions --
References -- Geometry and Local Optimality Conditions for Bilevel Programs with Quadratic Strictly Convex Lower Levels -- 1. Introduction -- 2. Problem Statement and Geometry -- 3. Computing the Convex Cones -- 4. Number of Convex
Cones -- 5. Stationary Points and Local Minima -- 6. Conclusions and Future Work -- References -- The Spherical One-Center Problem -- 1. Introduction -- 2. Main Result -- 3. Conclusions -- References -- On Min-max Optimization of a
Collection of Classical Discrete Optimization Problems -- 1. Introduction -- 2. The Min-max Spanning Tree Problem -- 3. The Min-max Resource Allocation Problem -- 4. The Min-max Production Control Problem -- 5. Summary and Extensions
-- References -- Heilbronn Problem for Six Points in a Planar Convex Body -- 1. Introduction -- 2. Prerequisites -- 3. Proof of the Main Theorem -- References -- Heilbronn Problem for Seven Points in a Planar Convex Body -- 1.
Introduction -- 2. Propositions and Proofs for Easier Cases -- 3. Configurations with Stability -- 4. Computing the Smallest Triangle -- 5. Open Problems -- References -- On the Complexity of Min-Max Optimization Problems and Their
Approximation -- 1. Introduction -- 2. Definition -- 3. ?2P-Completeness Results -- 4. Approximation Problems and Their Hardness -- 5. Nonapproximability Results -- 6. Conclusion and Open Questions -- References -- A Competitive
Algorithm for the Counterfeit Coin Problem -- 1. Introduction -- 2. Some Lower Bounds of M(n : d) -- 3. A Competitive Algorithm -- 4. Analysis of Competitiveness -- 5. Conclusion -- References -- A Minimax ?ß Relaxation for Global
Optimization -- 1. Introduction -- 2. Problem Model -- 3. Relaxation Approach -- 4. A General ?ß Relaxation Algorithm -- 5. A Minimax ?ß Relaxation Algorithm for COP -- 6. Experimental Results -- References -- Minimax Problems in
Combinatorial Optimization -- 1. Introduction -- 2. Algorithmic Problems -- 3. Geometric Problems -- 4. Graph Problems -- 5. Management Problems -- 6. Miscellaneous -- Author Index
ISBN:9781461335573
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Nonconvex Optimization and Its Applications: 4
Keywords: Mathematics , Computer science , Computer mathematics , Algorithms , Mathematics , Algorithms , Discrete Mathematics in Computer Science , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-1995-9781461335542:ONLINE Show nearby items on shelf
Title:Combinatorics Advances
Author(s):
Date:1995
Size:1 online resource (328 p.)
Note:10.1007/978-1-4613-3554-2
Contents:1 On a Conjecture of A. Hartman -- 1 Notations and Preliminaries -- 2 The Structure of Trades -- 3 Block Size 3 and Strength 2 -- 4 A Possible Approach to the Problem -- 5 The Case of Strength 2 -- 6 Some Examples -- 7 Concluding
Remarks -- 2 Some Problems in Total Graph Theory -- 1 Introduction and Preliminaries -- 2 Total Ramsey Numbers -- 3 Vertex Reconstructibility of Total Graphs -- 4 Edge Reconstructibility of Total Graphs -- 5 The Spectrum of Total
Graphs -- 6 Groups, and Polynomials of Graphs -- 7 Relationships Between some Parameters of G and those of T(G) -- 8 Some Generalizations and Applications -- 9 Upper Bounds for x? (G) -- 10 Remarks -- 3 Construction Techniques for
Mutually Orthogonal Latin Squares -- 1 Background -- 2 History and Small Orders -- 3 Pairwise balanced designs and Greig’s line-flip -- 4 Difference matrices: some direct constructions -- 5 A variant of Wilson’s theorem -- 6 Concluding
remarks -- 4 The Spectrum of R-Orthogonal Latin Squares -- 1 Latin squares and r-orthogonality -- 2 Some basic constructions -- 3 Small sides -- 4 A GDD construction -- 5 Intermediate sides -- 5 General Theory of Translation Invariant
Systems -- 1 Introduction -- 2 The Model -- 3 A Residuated Semigroup -- 4 Some Basic Questions -- 6 Some Mathematical Problems Arising in Molecular Bioinformatics: The Concept of Bioinformatics -- 1 Introduction -- 2 The concept of
sequence space -- 3 The geometry of sequence space -- 4 Cluster analysis -- 5 Split decomposition -- 6 Concluding remark -- 7 An Algorithmic Approach to Tilings -- 8 A New Connection Between Convex Geometry and Threshold Logic -- 1
Introduction -- 2 Algorithmic Enumeration of Nonisomorphic Cut-Complexes and a Generation of Convex Polytopes -- 3 Geometric Properties -- 9 The Unity of Combinatorics -- 1 Introduction -- 2 Langford’s Problem -- 3 Skolem’s Problem --
4 Beatty Sequences -- 5 Penrose Pieces -- 6 Wythoff’s Game -- 7 Triples satisfying x + y = z -- 8 Triples satisfying x + y = 2z -- 9 Coil diagrams -- 10 Squaring the square -- 11 Packing or covering the complete graph -- 12 Hanani’s
cyclic Steiner systems -- 13 Perfect difference sets -- 14 Projective planes -- 15 Affine geometries -- 16 Magic squares -- 17 Kirkman’s schoolgirls problem -- 18 Heawood’s map on the torus -- 19 The toroidal thickness of the complete
graph -- 20 Nim addition -- 21 Incidence matrices -- 22 Zarankiewicz’s problem -- 23 Error-correcting codes -- 24 Hadamard matrices -- 25 Cyclic Hadamard matrices -- 26 Factoring with quadratic forms -- 27 Projective geometries -- 28
Sphere packing -- 29 Mock Turtles -- 10 Unsolved Problems in Combinatorial Games -- 11 (F, 2)—Rotational Steiner Triple Systems -- 1 Introduction -- 2 Skolem Sequences -- 3 Constructions -- 4 Main Results -- 12 A Simple Polynomial Time
Algorithm for a Convex Hull Problem Equivalent to Linear Programming -- 1 Introduction -- 2 The Algorithm -- 13 A Linear—Time Algorithm for Minimum Cost Flow on Undirected One—Trees -- 1 Introduction -- 2 The Algorithm -- 14 An
Asymptotic Existence Result for Orthogonal Designs -- 1 Introduction -- 2 Basic Results -- 3 Main Results -- 15 Decomposition of Complete Tripartite Graphs Into 5-Cycles -- 1 Introduction -- 2 Necessary Conditions -- 3 An Application
-- 4 Sufficiency of Conditions -- 5 Searching for a decomposition in other cases -- 16 The Nsm of a Graph -- 1 The New Stability Measure of a Graph (NSM) -- 2 NSM and Operations on Graphs -- 3 Hamilton Properties of NSM -- 17
Zero-Knowledge Proofs For Independent Set and Dominating Set Problems -- 1 Introduction -- 2 A Zero-Knowledge Proof for Independent set problem -- 3 A Zero-Knowledge Proof for Dominating set problem -- 18 Exploring the Spectrum of
Values of Permanents by Simulated Annealing -- 1 The Permanent -- 2 Upper Bounds and Lower Bounds for the Permanent -- 3 Simulated Annealing -- 4 The Metropolis Algorithm -- 5 Results and Conclusions -- 19 Vector—Weighted Matchings --
1 Introduction -- 2 Preliminaries -- 3 Preference Matchings -- 4 Preference Poly topes -- 5 The Set of Efficient Solutions -- 20 Directed Quadruple Designs -- 1 Introduction -- 2 Existence of 3-(v, 4, l)DDs -- 3 On the Existence of
3-(v, 4, 2)DDs -- 4 Some Small Cases (for ? = 2) -- 21 Bounding Two-Terminal Network Reliability Via Surface Duality -- 1 Introduction -- 2 Definitions -- 3 Results -- 4 Implementation -- 5 Examples -- 22 Defining Sets for Block
Designs: An Update -- 1 Introduction -- 2 Some Theoretical Results -- 3 Finding Smallest Defining Sets in Small Designs -- 4 Defining Sets in Some Infinite Classes of Designs -- 23 Open Problems at the Combinatorics Workshop of Aimc25
(Tehran, 1994)
ISBN:9781461335542
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 329
Keywords: Mathematics , Computer science , Number theory , Combinatorics , Mathematics , Combinatorics , Discrete Mathematics in Computer Science , Number Theory
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Call number:SPRINGER-1994-9789401111348:ONLINE Show nearby items on shelf
Title:Interior Point Approach to Linear, Quadratic and Convex Programming Algorithms and Complexity
Author(s): D. den Hertog
Date:1994
Size:1 online resource (210 p.)
Note:10.1007/978-94-011-1134-8
Contents:1 Introduction of IPMs -- 1.1 Prelude -- 1.2 Intermezzo: Complexity issues -- 1.3 Classifying the IPMs -- 1.4 Scope of the book -- 2 The logarithmic barrier method -- 2.1 General framework -- 2.2 Central paths for some examples -- 2.3
Linear programming -- 2.4 Convex quadratic programming -- 2.5 Smooth convex programming -- 2.6 Miscellaneous remarks -- 3 The center method -- 3.1 General framework -- 3.2 Centers for some examples -- 3.3 Linear programming -- 3.4
Smooth convex programming -- 3.5 Miscellaneous remarks -- 4 Reducing the complexity for LP -- 4.1 Approximate solutions and rank-one updates -- 4.2 Adding and deleting constraints -- 5 Discussion of other IPMs -- 5.1 Path-following
methods -- 5.2 Affine scaling methods -- 5.3 Projective potential reduction methods -- 5.4 Affine potential reduction methods -- 5.5 Comparison of IPMs -- 6 Summary, conclusions and recommendations -- Appendices -- A Self-concordance
proofs -- A.1 Some general composition rules -- A.2 The dual geometric programming problem -- A.3 The extended entropy programming problem -- A.4 The primal 4-programming problem -- A.5 The dual 4-programming problem -- A.6 Other
smoothness conditions -- B General technical lemmas
ISBN:9789401111348
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications : 277
Keywords: Mathematics , Computers , Numerical analysis , Algorithms , Convex geometry , Discrete geometry , Mathematical optimization , Mathematics , Optimization , Algorithms , Theory of Computation , Convex and Discrete Geometry , Numeric Computing
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Call number:SPRINGER-1994-9789401109246:ONLINE Show nearby items on shelf
Title:Polytopes: Abstract, Convex and Computational
Author(s):
Date:1994
Size:1 online resource (507 p.)
Note:10.1007/978-94-011-0924-6
Contents:Abstract -- Recent results on Coxeter groups -- The evolution of Coxeter-Dynkin diagrams -- Polyhedra with hollow faces -- A hierarchical classification of Euclidean polytopes with regularity properties, -- Modern developments in
regular polytopes -- Classification of locally toroidal regular polytopes -- Convex -- Face numbers and subdivisions of convex polytopes -- Approximation by convex polytopes -- Some aspects of the combinatorial theory of convex
polytopes -- On volumes of non-Euclidean polytopes -- Manifolds in the skeletons of convex polytopes,tightness, and generalized Heawood inequalities -- Generalized stress and motions -- Polytopes and Brunn-Minkowski theory -- A survey
of Eulerian posets -- Computational -- On recent progress in computational synthetic geometry -- The ridge graph of the metric polytope and some relatives -- On the complexity of some basic problems in Computational Convexity: II.
Volume and mixed volumes -- The diameter of polytopes and related applications -- Problems -- Contributed problems -- Three problems about 4-polytopes
ISBN:9789401109246
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:NATO ASI Series, Series C: Mathematical and Physical Sciences: 440
Keywords: Mathematics , Numerical analysis , Computer science , Group theory , Geometry , Convex geometry , Discrete geometry , Mathematics , Geometry , Convex and Discrete Geometry , Numeric Computing , Discrete Mathematics in Computer Science , Group Theory and Generalizations
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Call number:SPRINGER-1994-9783642762352:ONLINE Show nearby items on shelf
Title:Visual Geometry and Topology
Author(s): Anatolij T Fomenko
Date:1994
Size:1 online resource (324 p.)
Note:10.1007/978-3-642-76235-2
Contents:1 Polyhedra. Simplicial Complexes. Homologies -- 1.1 Polyhedra -- 1.2 Simplicial Homology Groups of Simplicial Complexes (Polyhedra) -- 1.3 General Properties of Simplicial Homology Groups -- 2 Low-Dimensional Manifolds -- 2.1 Basic
Concepts of Differential Geometry -- 2.2 Visual Properties of One-Dimensional Manifolds -- 2.3 Visual Properties of Two-Dimensional Manifolds -- 2.4 Cohomology Groups and Differential Forms -- 2.5 Visual Properties of Three-Dimensional
Manifolds -- 3 Visual Symplectic Topology and Visual Hamiltonian Mechanics -- 3.1 Some Concepts of Hamiltonian Geometry -- 3.2 Qualitative Questions of Geometric Integration of Some Differential Equations. Classification of Typical
Surgeries of Liouville Tori of Integrable Systems with Bott Integrals -- 3.3 Three-Dimensional Manifolds and Visual Geometry of Isoenergy Surfaces of Integrable Systems -- 4 Visual Images in Some Other Fields of Geometry and Its
Applications -- 4.1 Visual Geometry of Soap Films. Minimal Surfaces -- 4.2 Fractal Geometry and Homeomorphisms -- 4.3 Visual Computer Geometry in the Number Theory -- Appendix 1 Visual Geometry of Some Natural and Nonholonomic Systems
-- 1.1 On Projection of Liouville Tori in Systems with Separation of Variables -- 1.2 What Are Nonholonomic Constraints? -- 1.3 The Variety of Manifolds in the Suslov Problem -- Appendix 2 Visual Hyperbolic Geometry -- 2.1 Discrete
Groups and Their Fundamental Region -- 2.2 Discrete Groups Generated by Reflections in the Plane -- 2.3 The Gram Matrix and the Coxeter Scheme -- 2.4 Reflection-Generated Discrete Groups in Space -- 2.5 A Model of the Lobachevskian
Plane -- 2.6 Convex Polygons on the Lobachevskian Plane -- 2.7 Coxeter Polygons on the Lobachevskian Plane -- 2.8 Coxeter Polyhedra in the Lobachevskian Space -- 2.9 Discrete Groups of Motions of Lobachevskian Space and Groups of
Integer-Valued Automorphisms of Hyperbolic Quadratic Forms -- 2.10 Reflection-Generated Discrete Groups in High-Dimensional Lobachevskian Spaces -- References
ISBN:9783642762352
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Geometry , Topology , Physics , Mathematics , Geometry , Topology , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1994-9780817645854:ONLINE Show nearby items on shelf
Title:Notions of Convexity
Author(s): Lars Hörmander
Date:1994
Size:1 online resource (416 p.)
Note:10.1007/978-0-8176-4585-4
Contents:Convex Functions of One Variable -- Convexity in a Finite-Dimensional Vector Space -- Subharmonic Functions -- Plurisubharmonic Functions -- Convexity with Respect to a Linear Group -- Convexity with Respect to Differential Operators
-- Convexity and Condition (.?)
ISBN:9780817645854
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Partial differential equations , Potential theory (Mathematics) , Functions of real variables , Functions of complex variables , Convex geometry , Discrete geometry , Mathematics , Several Complex Variables and Analytic Spaces , Convex and Discrete Geometry , Real Functions , Potential Theory , Analysis , Partial Differential Equations
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Call number:SPRINGER-1993-9789401581240:ONLINE Show nearby items on shelf
Title:Fundamentals of Convex Analysis Duality, Separation, Representation, and Resolution
Author(s): Michael J Panik
Date:1993
Size:1 online resource (296 p.)
Note:10.1007/978-94-015-8124-0
Contents:1. Preliminary Mathematics -- 1.1. Vector Spaces and Subspaces -- 1.2. The Solution Set of a System of Simultaneous Linear Equations -- 1.3. Point-set Theory: Topological Properties of Rn -- 1.4. Hyperplanes and Half-planes (-spaces)
-- 2. Convex Sets in Rn -- 2.1. Convex Sets -- 2.2. Convex Combination -- 2.3. Convex Hull -- 3. Separation and Support Theorems -- 3.1. Hyperplanes and Half-planes Revisited -- 3.2. Existence of Separating and Supporting Hyperplanes
-- 3.3. Separation Renders Disjoint Alternatives -- 4. Convex Cones in Rn -- 4.1. Convex Cones -- 4.2. Finite Cones -- 4.3. Conical Hull -- 4.4. Extreme Vectors, Half-lines, and Half-spaces -- 4.5. Extreme Solutions of Homogeneous
Linear Inequalities -- 4.6. Sum Cone and Intersection Cone Equivalence -- 4.7. Additional Duality Results for Finite Cones -- 4.8. Separation of Cones -- 5. Existence Theorems for Linear Systems -- 5.1. Dual Homogeneous Linear
Relations -- 5.2. Existence Theorems -- 6. Theorems of the Alternative for Linear Systems -- 6.1. The Structure of a Theorem of the Alternative -- 6.2. Theorems of the Alternative -- 6.3. Homogeneous Inequalities/Equalities Under
Convex Combination -- 7. Basic Solutions and Complementary Slackness in Pairs of Dual Systems -- 7.1. Basic Solutions to Linear Equalities -- 7.2. Moving From One Basic (Feasible) Solution to Another -- 7.3. Complementary Slackness in
Pairs of Dual Systems -- 8. Extreme Points and Directions for Convex Sets -- 8.1. Extreme Points and Directions for General Convex Sets -- 8.2. Convex Hulls Revisited -- 8.3. Faces of Polyhedral Convex Sets: Extreme Points, Facets, and
Edges -- 8.4. Extreme Point Representation for Polyhedral Convex Sets -- 8.5. Directions for Polyhedral Convex Sets -- 8.6. Combined Extreme Point and Extreme Direction Representation for Polyhedral Convex Sets -- 8.7. Resolution of
Convex Polyhedra -- 8.8. Separation of Convex Polyhedra -- 9. Simplicial Topology and Fixed Point Theorems -- 9.1. Simplexes -- 9.2. Simplicial Decomposition and Subdivision -- 9.3. Simplicial Mappings and Labeling -- 9.4. The
Existence of Fixed Points -- 9.5. Fixed Points of Compact Point-to-Point Functions -- 9.6. Fixed Points of Point-to-Set Functions -- Appendix: Continuous and Hemicontinuous Functions -- References -- Notation Index
ISBN:9789401581240
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Theory and Decision Library, Series B: Mathematical and Statistical Methods : 24
Keywords: Mathematics , Game theory , Convex geometry , Discrete geometry , Mathematical optimization , Economic theory , Mathematics , Convex and Discrete Geometry , Optimization , Game Theory, Economics, Social and Behav. Sciences , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-1993-9783642580437:ONLINE Show nearby items on shelf
Title:New Trends in Discrete and Computational Geometry
Author(s):
Date:1993
Size:1 online resource (340 p.)
Note:10.1007/978-3-642-58043-7
Contents:I. Combinatorics and Algorithms of Arrangements -- 1. Introduction -- 2. Arrangements of Curves in the Plane -- 3. Lower Envelopes and Davenport-Schinzel Sequences -- 4. Faces in Arrangements -- 5. Arrangements in Higher Dimensions --
6. Summary -- References -- II. Backwards Analysis of Randomized Geometric Algorithms -- 1. Introduction -- 2. Delaunay Triangulations of Convex Polygons -- 3. Intersecting Line Segments -- 4. Constructing Planar Convex Hulls -- 5.
Backwards Analysis of QUICKSORT -- 6. A Bad Example -- 7. Linear Programming for Small Dimension -- 8. Welzl’s Minidisk Algorithm -- 9. Clarkson’s Backwards Analysis of the Conflict Graph Based on the Convex Hull Algorithm -- 10. Odds
and Ends -- References -- III. Epsilon-Nets and Computational Geometry -- 1. Range Spaces and ?-Nets -- 2. Geometric Range Spaces -- 3. A Sample of Applications -- 4. Removing Logarithms -- 5. Removing the Randomization -- References
-- IV. Complexity of Polytope Volume Computation -- 1. Jumps of the Derivatives -- 2. Exact Volume Computation is Hard -- 3. Volume Approximation -- References -- V. Allowable Sequences and Order Types in Discrete and Computational
Geometry -- 1. Introduction -- 2. Combinatorial Types of Configurations in the Plane and Allowable Sequences -- 3. Arrangements of Lines and Pseudolines -- 4. Applications of Allowable Sequences -- 5. Order Types of Points in Rd and
“Geometric Sorting” -- 6. The Number of Order Types in Rd -- 7. Isotopy and Realizability Questions -- 8. Lattice Realization of Order Types and the Problem of Robustness in Computational Geometry -- References -- VI. Hyperplane
Approximation and Related Topics -- 1. Introduction -- 2. MINSUM Problem: Orthogonal L1-Fit -- 3. MINSUM Problem: Vertical L1-Fit -- 4. MINMAX Problem: Orthogonal L?-Fit -- 5. MINMAX Problem: Vertical L?-Fit -- 6. Related Issues --
References -- VII. Geometric Transversal Theory -- 1. Introduction -- 2. Hadwiger-Type Theorems -- 3. The Combinatorial Complexity of the Space of Transversals -- 4. Translates of a Convex Set -- 5. Transversal Algorithms -- 6. Other
Directions -- References -- VIII. Hadwiger-Levi’s Covering Problem Revisited -- 0. Introduction -- 1. On I0(K) and I?(K) -- 2. On Il(K) and k-fold Illumination -- 3. Some Simple Remarks on H(B) -- 4. On Convex Bodies with Finitely Many
Corner Points -- 5. Solution of Hadwiger-Levi’s Covering Problem for Convex Polyhedra with Affine Symmetry -- References -- IX. Geometric and Combinatorial Applications of Borsuk’s Theorem -- 1. Introduction -- 2. Van Kampen-Flores
Type Results -- 3. The Ham-Sandwich Theorem -- 4. Centrally Symmetric Polytopes -- 5. Kneser’s Conjecture -- 6. Sphere Coverings -- References -- X. Recent Results in the Theory of Packing and Covering -- 1. Introduction -- 2.
Preliminaries and Basic Concepts -- 3. A Review of Some Classical Results in the Plane -- 4. Economical Packing in and Covering of the Plane -- 5. Multiple Packing and Covering -- 6. Some Computational Aspects of Packing and Covering
-- 7. Restrictions on the Number of Neighbors in a Packing -- 8. Selected Topics in 3 Dimensions -- References -- XI. Recent Developments in Combinatorial Geometry -- 1. The Distribution of Distances -- 2. Graph Dimensions -- 3.
Geometric Graphs -- 4. Arrangements of Lines in Space -- References -- XII. Set Theoretic Constructions in Euclidean Spaces -- 0. Introduction -- 1. Simple Transfinite Constructions -- 2. Closed Sets or Better Well-Orderings -- 3.
Extending the Coloring More Carefully -- 4. The Use of the Continuum Hypothesis -- 5. The Infinite Dimensional Case -- 6. Large Paradoxical Sets in Another Sense -- References -- Author Index
ISBN:9783642580437
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algorithms and Combinatorics: 10
Keywords: Mathematics , Chemometrics , Geometry , Combinatorics , Computational intelligence , Economic theory , Mathematics , Combinatorics , Geometry , Economic Theory/Quantitative Economics/Mathematical Methods , Math. Applications in Chemistry , Computational Intelligence
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Call number:SPRINGER-1990-9789400918924:ONLINE Show nearby items on shelf
Title:Spectral Theory of Automorphic Functions and Its Applications
Author(s): Alexei B Venkov
Date:1990
Size:1 online resource (176 p.)
Note:10.1007/978-94-009-1892-4
Contents:1. Introduction -- 2. What Does One Need Automorphic Functions for? Some Remarks or a Pragmatic Reader -- 3. Harmonic Analysis of Periodic Functions. The Hardy—Vorono? Formula -- 4. Expansion in Eigenfunctions of the Automorphic
Laplacian on the Lobachevsky Plane -- 5. Harmonic Analysis of Automorphic Functions. Estimates for Fourier Coefficients of Parabolic Forms of Weight Zero -- 6. The Selberg Trace Formula for Fuchsian Groups of the First Kind -- 7. The
Theory of the Selberg Zeta-Function -- 8. Problems in the Theory of the Discrete Spectrum of Automorphic Laplacians -- 9. The Spectral Moduli Problem -- 10. Automorphic Functions and the Kummer Problem -- 11. The Selberg Trace Formula
on the Reductive Lie Groups -- 12. Automorphic Functions, Representations and L-functions -- 13. Remarks and Comments. Annotations to the Cited Literature -- References -- Appendix 1. Monodromy Groups and Automorphic Functions --
Appendix 2. Automorphic Functions for Effective Solutions of Certain Issues of the Riemann-Hilbert Problem -- Author Index
ISBN:9789400918924
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics and Its Applications (Soviet Series): 51
Keywords: Mathematics , Algebra , Ordered algebraic structures , Partial differential equations , Convex geometry , Discrete geometry , Number theory , Mathematics , Number Theory , Order, Lattices, Ordered Algebraic Structures , Convex and Discrete Geometry , Partial Differential Equations
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Call number:SPRINGER-1989-9783642613241:ONLINE Show nearby items on shelf
Title:Irregularities of Partitions
Author(s):
Date:1989
Size:1 online resource (165 p.)
Note:10.1007/978-3-642-61324-1
Contents:1. Irregularities of Point Distribution Relative to Convex Polygons -- 2. Balancing Matrices with Line Shifts II -- 3. A Few Remarks on Orientation of Graphs and Ramsey Theory -- 4. On a Conjecture of Roth and Some Related Problems I
-- 5. Discrepancy of Sequences in Discrete Spaces -- 6. On the Distribution of Monochromatic Configurations -- 7. Covering Complete Graphs by Monochromatic Paths -- 8. Canonical Partition Behavior of Cantor Spaces -- 9. Extremal
Problems for Discrepancy -- 10. Spectral Studies of Automata -- 11. A Diophantine Problem -- 12. A Note on Boolean Dimension of Posets -- 13. Intersection Properties and Extremal Problems for Set Systems -- 14. On an Imbalance Problem
in the Theory of Point Distribution -- 15. Problems
ISBN:9783642613241
Series:eBooks
Series:SpringerLink (Online service)
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Series:Algorithms and Combinatorics 8, Study and Research Texts: 8
Keywords: Mathematics , Geometry , Number theory , Combinatorics , Mathematics , Number Theory , Combinatorics , Geometry
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Call number:SPRINGER-1988-9783662074411:ONLINE Show nearby items on shelf
Title:Geometric Inequalities
Author(s): Yuriĭ Dmitrievich Burago
Date:1988
Size:1 online resource (334 p.)
Note:10.1007/978-3-662-07441-1
Contents:1. Two-Dimensional Surfaces -- 2. The Brunn-Minkowski Inequality and the Classical Isoperimetric Inequality -- 3. Isoperimetric Inequalities for Various Definitions of Area -- 4. Mixed Volumes -- 5. Immersions in ?n -- 6. Riemannian
Manifolds -- Author Index
ISBN:9783662074411
Series:eBooks
Series:SpringerLink (Online service)
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Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 285
Keywords: Mathematics , Convex geometry , Discrete geometry , Differential geometry , Mathematics , Differential Geometry , Convex and Discrete Geometry
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Call number:SPRINGER-1988-9783642615900:ONLINE Show nearby items on shelf
Title:Kleinian Groups
Author(s): Bernard Maskit
Date:1988
Size:1 online resource (328 p.)
Note:10.1007/978-3-642-61590-0
Contents:I. Fractional Linear Transformations -- I.A. Basic Concepts -- I.B. Classification of Fractional Linear Transformations -- I.C. Isometric Circles -- I.D. Commutators -- I.E. Fractional Reflections -- I.F. Exercises -- II.
Discontinuous Groups in the Plane -- II.A. Discontinuous Groups -- II.B. Area, Diameter, and Convergence -- II.C. Inequalities for Discrete Groups -- II.D. The Limit Set -- II.E. The Partition of C -- II.F. Riemann Surfaces -- II.G.
Fundamental Domains -- II.H. The Ford Region -- II.I. Precisely Invariant Sets -- II.J. Isomorphisms -- II.K. Exercises -- II.L. Notes -- III. Covering Spaces -- III.A. Coverings -- III.B. Regular Coverings -- III.C. Lifting Loops and
Regions -- III.D. Lifting Mappings -- III.E. Pairs of Regular Coverings -- III.F. Branched Regular Coverings -- III.G. Exercises -- IV. Groups of Isometries -- IV.A. The Basic Spaces and their Groups -- IV.B. Hyperbolic Geometry --
IV.C. Classification of Elements of Cn -- IV.D. Convex Sets -- IV.E. Discrete Groups of Isometries -- IV.F. Fundamental Polyhedrons -- IV.G. The Dirichlet and Ford Regions -- IV.H. Poincaré’s Polyhedron Theorem -- IV.I. Special Cases
-- IV.J. Exercises -- IV.K. Notes -- V. The Geometric Basic Groups -- V.A. Basic Signatures -- V.B. Half-Turns -- V.C. The Finite Groups -- V.D. The Euclidean Groups -- V.E. Applications to Non-Elementary Groups -- V.F. Groups with Two
Limit Points -- V.G. Fuchsian Groups -- V.H. Isomorphisms -- V.I. Exercises -- V.J. Notes -- VI. Geometrically Finite Groups -- VI. A. The Boundary at Infinity of a Fundamental Polyhedron -- VI.B. Points of Approximation -- VI.C.
Action near the Limit Set -- VI.D. Essentially Compact 3-Manifolds -- VI.E. Applications -- VI.F. Exercises -- VI.G. Notes -- VII. Combination Theorems -- VII.A. Combinatorial Group Theory — I -- VII.B. Blocks and Spanning Discs --
VII.C. The First Combination Theorem -- VII.D. Combinatorial Group Theory — II -- VII.E. The Second Combination Theorem -- VII.F. Exercises -- VII.G. Notes -- VIII. A Trip to the Zoo -- VIII.A. The Circle Packing Trick -- VIII.B.
Simultaneous Uniformization -- VIII.C. Elliptic Cyclic Constructions -- VIII.D. Fuchsian Groups of the Second Kind -- VIII.E. Loxodromic Cyclic Constructions -- VIII.F. Strings of Beads -- VIII.G. Miscellaneous Examples -- VIII.H.
Exercises -- VIII.I. Notes -- IX. B-Groups -- IX.A. An Inequality -- IX.B. Similarities -- IX.C. Rigidity of Triangle Groups -- IX.D. B-Group Basics -- IX.E. An Isomorphism Theorem -- IX.F. Quasifuchsian Groups -- IX.G. Degenerate
Groups -- IX.H. Groups with Accidental Parabolic Transformations -- IX.I. Exercises -- IX.J. Notes -- X. Function Groups -- X.A. The Planarity Theorem -- X.B. Panels Defined by Simple Loops -- X.C. Structure Subgroups -- X.D.
Signatures -- X.E. Decomposition -- X.F. Existence -- X.G. Similarities and Deformations -- X.H. Schottky Groups -- X.I. Fuchsian Groups Revisited -- X.J. Exercises -- X.K. Notes -- Special Symbols
ISBN:9783642615900
Series:eBooks
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Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 287
Keywords: Mathematics , Algebraic geometry , Group theory , Algebraic topology , Mathematics , Group Theory and Generalizations , Algebraic Topology , Algebraic Geometry
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Call number:SPRINGER-1987-9783540477716:ONLINE Show nearby items on shelf
Title:Geometrical Aspects of Functional Analysis Israel Seminar, 1985–86
Author(s):
Date:1987
Size:1 online resource (212 p.)
Note:10.1007/BFb0078130
Contents:Monotonicity of the volume of intersection of balls -- On lattice packing of convex symmetric sets in ?n -- Diameter of a minimal invariant subset of equivariant lipschitz actions on compact subsets of ? k -- The relation between the
distance and the weak distance for spaces with a symmetric basis -- Complements of subspaces of ? p n p ?1 which are uniquely determined -- Embedding X p m spaces into ? r n -- Some remarks on Urysohn's inequality and volume ratio of
cotype 2-spaces -- On the covering numbers of convex bodies -- On a theorem of J. Bourgain on finite dimensional decompositions and the radon-nikodym property -- Sudakov type inequalities for convex bodies in IR n -- An application of
infinite dimensional holomorphy to the geometry of banach spaces -- A density condition for analyticity of the restriction algebra -- Remarks on the extension of lipschitz maps defined on discrete sets and uniform homeomorphisms -- On
dimension free maximal inequalities for convex symmetric bodies in ?n -- On lipschitz embedding of finite metric spaces in low dimensional normed spaces -- Random series in the real interpolation spaces between the spaces v p -- Cotype
of the spaces (A 0, A 1)?1
ISBN:9783540477716
Series:eBooks
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Series:Lecture Notes in Mathematics: 1267
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Mathematics , Analysis
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Call number:SPRINGER-1986-9783540388227:ONLINE Show nearby items on shelf
Title:Asymptotic Theory of Finite Dimensional Normed Spaces
Author(s): Vitali D Milman
Date:1986
Size:1 online resource (160 p.)
Note:10.1007/978-3-540-38822-7
Contents:The Concentration of Measure Phenomenon in the Theory of Normed Spaces -- Preliminaries -- The Isoperimetric Inequality on Sn?1 and Some Consequences -- Finite Dimensional Normed Spaces, Preliminaries -- Almost Euclidean Subspaces of
A Normed Space -- Almost Euclidean Subspaces of ?{p}n Spaces, of General n-Dimensional Normed Spaces, and of Quotient of n-Dimensional Spaces -- Levy Families -- Martingales -- Embedding ?pm into ?1n -- Type and Cotype of Normed
Spaces, and Some Simple Relations with Geometrical Properties -- Additional Applications of Levy Families in the Theory of Finite Dimensional Normed Spaces -- Type and Cotype of Normed Spaces -- Ramsey’s Theorem with Some Applications
to Normed Spaces -- Krivine’s Theorem -- The Maurey-Pisier Theorem -- The Rademacher Projection -- Projections on Random Euclidean Subspaces of Finite Dimensional Normed Spaces
ISBN:9783540388227
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 1200
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Convex geometry , Discrete geometry , Mathematics , Analysis , Convex and Discrete Geometry
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Call number:SPRINGER-1983-9783642688744:ONLINE Show nearby items on shelf
Title:Mathematical Programming The State of the Art Bonn 1982
Author(s):
Date:1983
Size:1 online resource (658 p.)
Note:10.1007/978-3-642-68874-4
Contents:I. About the XIth International Symposium on Mathematical Programming -- Program and Organizing Committee -- Welcoming Addresses -- List of Sponsors -- The Fulkerson Prize and the Dantzig Prize 1982 -- II. Mathematical Programming:
The State of the Art — Bonn 1982 -- Predictor-Corrector and Simplicial Methods for Approximating Fixed Points and Zero Points of Nonlinear Mappings -- Polyhedral Theory and Commutative Algebra -- Reminiscences About the Origins of
Linear Programming -- Penalty Functions -- Applications of the FKG Inequality and its Relatives -- Semi-Infinite Programming and Applications -- Applications of Matroid Theory -- Recent Results in the Theory of Machine Scheduling --
Submodular Functions and Convexity -- Recent developments in Algorithms and Software for Trust Region Methods -- Variable Metric Methods for Constrained Optimization -- Polyhedral Combinatorics -- Generalized Equations -- Generalized
Subgradients in Mathematical Programming -- Nondegeneracy Problems in Cooperative Game Theory -- Conic Methods for Unconstrained Minimization and Tensor Methods for Nonlinear Equations -- Min-Max Results in Combinatorial Optimization
-- Generalized Gradient Methods of Non-Differentiable Optimization Employing Space Dilatation Operations -- The Problem of the Average Speed of the Simplex Method -- Solution of Large Linear Systems of Equations by Conjugate Gradient
Type Methods -- Stochastic Programming: Solution Techniques and Approximation Schemes -- III. Scientific Program -- IV. List of Authors
ISBN:9783642688744
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Keywords: Mathematics , Computers , Computer science , Convex geometry , Discrete geometry , Calculus of variations , Combinatorics , Economic theory , Mathematics , Combinatorics , Convex and Discrete Geometry , Calculus of Variations and Optimal Control Optimization , Theory of Computation , Math Applications in Computer Science , Economic Theory/Quantitative Economics/Mathematical Methods
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Call number:SPRINGER-1980-9781461582854:ONLINE Show nearby items on shelf
Title:Advances in Geometric Programming
Author(s):
Date:1980
Size:1 online resource (460 p.)
Note:10.1007/978-1-4615-8285-4
Contents:1. Geometric Programming in Terms of Conjugate Functions -- 2. Geometric Programming -- 3. Optimality Conditions in Generalized Geometric Programming -- 4. Saddle Points and Duality in Generalized Geometric Programming -- 5.
Constrained Duality via Unconstrained Duality in Generalized Geometric Programming -- 6. Fenchel’s Duality Theorem in Generalized Geometric Programming -- 7. Generalized Geometric Programming Applied to Problems of Optimal Control: I.
Theory -- 8. Projection and Restriction Methods in Geometric Programming and Related Problems -- 9. Transcendental Geometric Programs -- 10. Solution of Generalized Geometric Programs -- 11. Current State of the Art of Algorithms and
Computer Software for Geometric Programming -- 12. A Comparison of Computational Strategies for Geometric Programs -- 13. Comparison of Generalized Geometric Programming Algorithms -- 14. Solving Geometric Programs Using GRG: Results
and Comparisons -- 15. Dual to Primal Conversion in Geometric Programming -- 16. A Modified Reduced Gradient Method for Dual Posynomial Programming -- 17. Global Solutions of Mathematical Programs with Intrinsically Concave Functions
-- 18. Interval Arithmetic in Unidimensional Signomial Programming -- 19. Signomial Dual Kuhn—Tucker Intervals -- 20. Optimal Design of Pitched Laminated Wood Beams -- 21. Optimal Design of a Dry-Type Natural-Draft Cooling Tower by
Geometric Programming -- 22. Bibliographical Note on Geometric Programming
ISBN:9781461582854
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematical Concepts and Methods in Science and Engineering : 21
Keywords: Mathematics , Convex geometry , Discrete geometry , Mathematics , Convex and Discrete Geometry
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Call number:SPRINGER-1979-9781461394389:ONLINE Show nearby items on shelf
Title:Join Geometries A Theory of Convex Sets and Linear Geometry
Author(s): Walter Prenowitz
Date:1979
Size:1 online resource (534 p.)
Note:10.1007/978-1-4613-9438-9
Contents:1 The Join and Extension Operations in Euclidean Geometry -- 2 The Abstract Theory of Join Operations -- 3 The Generation of Convex Sets—Convex Hulls -- 4 The Operation of Extension -- 5 Join Geometries -- 6 Linear Sets -- 7 Extremal
Structure of Convex Sets: Components and Faces -- 8 Rays and Halfspaces -- 9 Cones and Hypercones -- 10 Factor Geometries and Congruence Relations -- 11 Exchange Join Geometries—The Theory of Incidence and Dimension -- 12 Ordered Join
Geometries -- 13 The Structure of Polytopes in an Ordered Geometry -- References
ISBN:9781461394389
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Mathematics , Convex geometry , Discrete geometry , Mathematics , Convex and Discrete Geometry
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Call number:SPRINGER-1970-9783642462160:ONLINE Show nearby items on shelf
Title:Convexity and Optimization in Finite Dimensions I
Author(s): Josef Stoer
Date:1970
Size:1 online resource (298 p.)
Note:10.1007/978-3-642-46216-0
Contents:1 Inequality Systems -- 1.1. Linear Combinations of Inequalities -- 1.2. Fourier Elimination -- 1.3. Proof of the Kuhn-Fourier Theorem -- 1.4. Consequence Relations. The Farkas Lemma -- 1.5. Irreducibly Inconsistent Systems -- 1.6. Transposition The orems -- 1.7. The Duality Theorem of Linear Programming -- 2 Convex Polyhedra -- 2.1. Means and Averages -- 2.2. Dimensions -- 2.3. Polyhedra and their Boundaries -- 2.4. Extreme and Exposed Sets -- 2.5. Primitive Faces. The Finite Basis Theorem -- 2.6. S ubspaces. Orthogonality -- 2.7. Cones. Polarity -- 2.8. Polyhedral Cones -- 2.9. A Direct Proof of the Theorem of Weyl -- 2.10. Lineality Spaces -- 2.11. Homogenization -- 2.12. Decomposition and Separation of Polyhedra -- 2.13. Face Lattices of Polyhedra l Cones -- 2.14. Polar and Dual Polyhedra -- 2.15. Gale Diagrams -- 3 Convex Sets -- 3.1. The Normed Linear Space Rn -- 3.2. Closure and Relative Interior of Convex Sets -- 3.3. Separation of Convex Sets -- 3.4. Supporting Planes and Cones
-- 3.5. Boundedness and Polarity -- 3.6. Extremal Properties -- 3.7. Combinatorial Properties -- 3.8. Topological Properties -- 3.9. Fixed Point Theorems -- 3.10. Norms and Support Functions -- 4 Convex Functions -- 4.1. Convex Functions -- 4.2. Epi graphs -- 4.3. Directorial Derivatives -- 4.4. Differentiable Convex Functions -- 4.5. A Regularity Condition -- 4.6. Conjugate Functions -- 4.7. Strongly Closed Convex Functions -- 4.8. Examples of Conjugate Functions -- 4.9. Generalization of Convexity -- 4.10. Pseudolinear Functions -- 5 Duality Theorems -- 5.1. The Duality Theorem of Fenchel -- 5.2. Duality Gaps -- 5.3. Generalization of Fenchel’s Duality Theorem -- 5.4. Proof of the Generalized Fenchel Theorem -- 5.5. Alternative Characterizations of Stability -- 5.6. Generation of Stable Functions -- 5.7. Rockafellar’s Duality Theorem -- 5.8. Duality Theorems of the Dennis-Dorn Type -- 5.9. Duality Theorems for Quadratic Programs -- 6 Saddle Point Theorems -- 6.1. The Minimax Theorem
of v. Neumann -- 6.2. Saddle Points -- 6.3. Minimax Theorems for Compact Sets -- 6.4. Minimax Theorems for Noncompact Sets -- 6.5. Lagrange Multipliers -- 6.6. Kuhn-Tucker Theory for Differentiable Functions -- 6.7. Saddle Points of the Lagrangian - - 6.8. Duality Theorems and Lagrange Multipliers -- 6.9. Constrained Minimax Programs -- 6.10. Systems of Convex Inequalities -- Author and Subject Index
ISBN:9783642462160
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Series:Die Grundlehren der mathematischen Wissenschaften, in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete: 163
Keywords: Mathematics , Convex geometry , Discrete geometry , Mathematics , Convex and Discrete Geometry
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