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The Cube-A Window to Convex and Disc...
~
Bollobas, B.
The Cube-A Window to Convex and Discrete Geometry.[electronic resource].
纪录类型:
书目-语言数据,印刷品 : Monograph/item
[NT 15000414] null:
516.08
[NT 47271] Title/Author:
The Cube-A Window to Convex and Discrete Geometry.
作者:
Zong, Chuanming.
[NT 51406] other author:
Bollobas, B.
出版者:
Cambridge : : Cambridge University Press,, 2006.
面页册数:
186 p.
标题:
Convex geometry.
ISBN:
9780511543173# (electronic bk.)
ISBN:
9780521855358 (print)
[NT 15000228] null:
Cover; Half-Title; Title; Copyright; Contents; Preface; Basic notation; Introduction; Chapter 1 Cross sections; 1.1 Introduction; 1.2 Good’s conjecture; 1.3 Hensley’s conjecture; 1.4 Additional remarks; Chapter 2 Projections; 2.1 Introduction; 2.2 Lower bounds and upper bounds; 2.3 A symmetric formula; 2.4 Combinatorial shapes; Chapter 3 Inscribed simplices; 3.1 Introduction; 3.2 Binary matrices; 3.3 Upper bounds; 3.4 Some particular cases; Chapter 4 Triangulations; 4.1 An example; 4.2 Some special triangulations; 4.3 Smith’s lower bound; 4.4 Lower-dimensional cases; Chapter 5 0/1 polytopes
[NT 15000229] null:
This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them.
电子资源:
Click here to view book
The Cube-A Window to Convex and Discrete Geometry.[electronic resource].
Zong, Chuanming.
The Cube-A Window to Convex and Discrete Geometry.
[electronic resource]. - Cambridge :Cambridge University Press,2006. - 186 p.
Cover; Half-Title; Title; Copyright; Contents; Preface; Basic notation; Introduction; Chapter 1 Cross sections; 1.1 Introduction; 1.2 Good’s conjecture; 1.3 Hensley’s conjecture; 1.4 Additional remarks; Chapter 2 Projections; 2.1 Introduction; 2.2 Lower bounds and upper bounds; 2.3 A symmetric formula; 2.4 Combinatorial shapes; Chapter 3 Inscribed simplices; 3.1 Introduction; 3.2 Binary matrices; 3.3 Upper bounds; 3.4 Some particular cases; Chapter 4 Triangulations; 4.1 An example; 4.2 Some special triangulations; 4.3 Smith’s lower bound; 4.4 Lower-dimensional cases; Chapter 5 0/1 polytopes
This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be applied to the study of them.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511543173# (electronic bk.)Subjects--Topical Terms:
567098
Convex geometry.
Index Terms--Genre/Form:
336502
Electronic books.
LC Class. No.: QA639.5 .Z66 2006eb
Dewey Class. No.: 516.08
The Cube-A Window to Convex and Discrete Geometry.[electronic resource].
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186 p.
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Cover; Half-Title; Title; Copyright; Contents; Preface; Basic notation; Introduction; Chapter 1 Cross sections; 1.1 Introduction; 1.2 Good’s conjecture; 1.3 Hensley’s conjecture; 1.4 Additional remarks; Chapter 2 Projections; 2.1 Introduction; 2.2 Lower bounds and upper bounds; 2.3 A symmetric formula; 2.4 Combinatorial shapes; Chapter 3 Inscribed simplices; 3.1 Introduction; 3.2 Binary matrices; 3.3 Upper bounds; 3.4 Some particular cases; Chapter 4 Triangulations; 4.1 An example; 4.2 Some special triangulations; 4.3 Smith’s lower bound; 4.4 Lower-dimensional cases; Chapter 5 0/1 polytopes
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5.1 Introduction5.2 0/1 polytopes and coding theory; 5.3 Classification; 5.4 The number of facets; Chapter 6 Minkowski’s conjecture; 6.1 Minkowski’s conjecture; 6.2 An algebraic version; 6.3 Hajos’ proof; 6.4 Other versions; Chpater 7 Furtwangler’s conjecture; 7.1 Furtwangler’s conjecture; 7.2 A theorem of Furtwangler and Hajos; 7.3 Hajos ’counterexamples; 7.4 Robinson’s characterization; Chapter 8 Keller’s conjecture; 8.1 Keller’s conjec
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Click here to view book
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511543173#
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