Канал: Matthias Beck

14. A Continuous Version of Pick's Theorem

14. A Continuous Version of Pick's Theorem

13(c). Brianchon-Gram for Solid Angles

13(c). Brianchon-Gram for Solid Angles

13(b). Solid Angle Reciprocity

13(b). Solid Angle Reciprocity

13(a). Solid Angles

13(a). Solid Angles

12(c). The Khovanskii-Pukhlikov Theorem

12(c). The Khovanskii-Pukhlikov Theorem

12(b). Euler-Maclaurin Summation

12(b). Euler-Maclaurin Summation

12(a). Brion's Theorem Continued

12(a). Brion's Theorem Continued

11(c). Brion Implies Ehrhart

11(c). Brion Implies Ehrhart

11(b). Brion's Theorem

11(b). Brion's Theorem

11(a). Tangent Cones & Brianchon-Gram

11(a). Tangent Cones & Brianchon-Gram

10(c). Stapledon Decompositions

10(c). Stapledon Decompositions

10(b). Betke-McMullen Decompositions

10(b). Betke-McMullen Decompositions

10(a). h-polynomials

10(a). h-polynomials

9(b). Ehrhart Polynomials of Zonotopes

9(b). Ehrhart Polynomials of Zonotopes

9(a). Zonotopes

9(a). Zonotopes

8(c). Dedekind-Rademacher Sums & Ehrhart Polynomials

8(c). Dedekind-Rademacher Sums & Ehrhart Polynomials

8(b). Dedekind & Zagier Reciprocity

8(b). Dedekind & Zagier Reciprocity

8(a). Fourier-Dedekind Sums

8(a). Fourier-Dedekind Sums

7(b). Parseval Identity & Fourier Convolution

7(b). Parseval Identity & Fourier Convolution

7(a). Finite Fourier Series

7(a). Finite Fourier Series

6(b). Multivariate Generating Functions Again

6(b). Multivariate Generating Functions Again

6(a). Magic Squares & the Birkhoff-von Neumann Polytope

6(a). Magic Squares & the Birkhoff-von Neumann Polytope

5(b). Relative Volume

5(b). Relative Volume

5(a). The Dehn-Sommerville Relations

5(a). The Dehn-Sommerville Relations

4(b). Gorenstein & Reflexive Polytopes

4(b). Gorenstein & Reflexive Polytopes

4(a). Stanley & Ehrhart-Macdonald Reciprocity

4(a). Stanley & Ehrhart-Macdonald Reciprocity

3(e). Ehrhart Polynomials & Quasipolynomials

3(e). Ehrhart Polynomials & Quasipolynomials

3(d). Cones over Polytopes & Ehrhart's Theorem

3(d). Cones over Polytopes & Ehrhart's Theorem

3(c): Complexity of Integer-Point Transforms

3(c): Complexity of Integer-Point Transforms

3(b): Cones and their Integer-Point Transforms

3(b): Cones and their Integer-Point Transforms

3(a). Regular Triangulations

3(a). Regular Triangulations

2(d). Multivariate Generating Functions

2(d). Multivariate Generating Functions

2(c). Formal Laurent Series

2(c). Formal Laurent Series

2(b). Pick's Theorem

2(b). Pick's Theorem

2(a). Polytopes

2(a). Polytopes

1(b). Partial Fractions

1(b). Partial Fractions

1(c). Restricted Partition Functions & The Frobenius Problem

1(c). Restricted Partition Functions & The Frobenius Problem

1(d). In Conversation With... Sinai Robins

1(d). In Conversation With... Sinai Robins

1(a). Generating Functions

1(a). Generating Functions

0. Introduction

0. Introduction