External-Otitis
发表于 2025-3-21 16:06:33
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声音刺耳
发表于 2025-3-21 21:11:37
A Gallery of Discrete Volumeseger points . form a lattice in ., and we often call the integer points .. This chapter carries us through concrete examples of lattice-point enumeration in various infinite families of integral and rational polytopes, and we will realize that many well-known families of numbers and polynomials, suc
Palate
发表于 2025-3-22 01:42:38
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Eructation
发表于 2025-3-22 05:06:05
Finite Fourier Analysis the integers can be written as a polynomial in the .. root of unity .. Such a representation for .(.) is called a .. Here we develop finite Fourier theory using rational functions and their partial fraction decomposition. We then define the . and the . of finite Fourier series, and show how one can
ADAGE
发表于 2025-3-22 10:57:43
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发出眩目光芒
发表于 2025-3-22 16:36:21
Zonotopesss of integral polytopes whose discrete volume is more tractable, and yet robust enough to be “closer” in complexity to generic integral polytopes. One initial class of more tractable polytopes is that of parallelepipeds, and as we will see, the Ehrhart polynomial of a .-dimensional half-open intege
发出眩目光芒
发表于 2025-3-22 20:13:53
-Polynomials and ,,-Polynomialsoded in an Ehrhart polynomial is equivalent to the information encoded in its Ehrhart series. More precisely, when the Ehrhart series is written as a rational function, we introduced the name .. for its numerator: . Our goal in this chapter is to prove several decomposition formulas for . based on t
去掉
发表于 2025-3-22 21:35:17
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吵闹
发表于 2025-3-23 03:56:08
Euler–Maclaurin Summation in ℝdon is the difference between the discrete integer-point transform and its continuous sibling: . where we have replaced the variable . that we have commonly used in generating functions by an exponential variable. Note that on setting . = 0 in (12.2), we obtain the difference between the discrete and
考古学
发表于 2025-3-23 08:43:44
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