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0:08:24

14. A Continuous Version of Pick's Theorem

0:10:02

13(c). Brianchon-Gram for Solid Angles

0:14:51

13(b). Solid Angle Reciprocity

0:13:02

13(a). Solid Angles

0:12:47

12(c). The Khovanskii-Pukhlikov Theorem

0:11:23

12(b). Euler-Maclaurin Summation

0:14:32

12(a). Brion's Theorem Continued

0:14:19

11(c). Brion Implies Ehrhart

0:14:52

11(b). Brion's Theorem

0:13:00

11(a). Tangent Cones & Brianchon-Gram

0:13:05

10(c). Stapledon Decompositions

0:13:20

10(b). Betke-McMullen Decompositions

0:14:46

10(a). h-polynomials

0:16:59

9(b). Ehrhart Polynomials of Zonotopes

0:13:52

9(a). Zonotopes

0:17:17

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

0:14:59

8(b). Dedekind & Zagier Reciprocity

0:16:26

8(a). Fourier-Dedekind Sums

0:18:17

7(b). Parseval Identity & Fourier Convolution

0:17:55

7(a). Finite Fourier Series

0:14:09

6(b). Multivariate Generating Functions Again

0:16:52

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

0:12:26

5(b). Relative Volume

0:17:38

5(a). The Dehn-Sommerville Relations