异常
发表于 2025-3-25 06:29:31
Function STITLE function WTITLE,the proportion of space that the cone к occupies. In slightly different words, if we pick a point х ∊ ℝ. “at random,” then the probability that х ∊ к is precisely the solid angle at the apex of к. Yet another view of solid angles is that they are in fact volumes of spherical polytopes: the region of
多骨
发表于 2025-3-25 08:22:31
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escalate
发表于 2025-3-25 14:48:33
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LAITY
发表于 2025-3-25 17:49:05
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冒烟
发表于 2025-3-25 21:33:02
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无法取消
发表于 2025-3-26 00:16:13
https://doi.org/10.1007/3-540-15202-4Fourier theory using rational functions and their partial fraction decomposition. We then define the Fourier transform and the convolution of finite Fourier series, and show how one can use these ideas to prove identities on trigonometric functions, as well as find connections to the classical Dedekind sums.
Hiatus
发表于 2025-3-26 06:24:55
Function STITLE function WTITLE,is precisely the solid angle at the apex of к. Yet another view of solid angles is that they are in fact volumes of spherical polytopes: the region of intersection of a cone with a sphere. There is a theory here that parallels the Ehrhart theory of Chapters 3 and 4, but which has some genuinely new ideas.
Euthyroid
发表于 2025-3-26 11:02:26
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享乐主义者
发表于 2025-3-26 15:11:55
Dedekind Sums, the Building Blocks of Lattice-point Enumerationongoing effort to extend these ideas to higher dimensions, but there is much room for improvement. In this chapter we focus on the computational-complexity issues that arise when we try to compute Dedekind sums explicitely.
Cumulus
发表于 2025-3-26 19:10:14
Counting Lattice Points in Polytopes:The Ehrhart TheoryGiven the profusion of examples that gave rise to the polynomial behavior of the integer-point counting function .(.) for special polytopes ., we now ask whether there is a general structure theorem. As the ideas unfold, the reader is invited to look back at Chapters 1 and 2 as appetizers and indeed as special cases of the theorems developed below.