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Titlebook: Computing the Continuous Discretely; Integer-Point Enumer Matthias Beck,Sinai Robins Textbook 2015Latest edition Matthias Beck and Sinai Ro

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樓主: External-Otitis
11#
發(fā)表于 2025-3-23 11:52:21 | 只看該作者
12#
發(fā)表于 2025-3-23 16:45:16 | 只看該作者
https://doi.org/10.1007/978-94-017-3530-8ion .?≤?4. In this chapter, we focus on the computational-complexity issues that arise when we try to compute Dedekind sums explicitly. In many ways, the Dedekind sums extend the notion of the greatest common divisor of two integers.
13#
發(fā)表于 2025-3-23 20:14:10 | 只看該作者
Dedekind Sums, the Building Blocks of Lattice-Point Enumerationion .?≤?4. In this chapter, we focus on the computational-complexity issues that arise when we try to compute Dedekind sums explicitly. In many ways, the Dedekind sums extend the notion of the greatest common divisor of two integers.
14#
發(fā)表于 2025-3-23 22:53:42 | 只看該作者
15#
發(fā)表于 2025-3-24 04:17:57 | 只看該作者
16#
發(fā)表于 2025-3-24 06:40:19 | 只看該作者
17#
發(fā)表于 2025-3-24 13:21:12 | 只看該作者
18#
發(fā)表于 2025-3-24 18:08:43 | 只看該作者
19#
發(fā)表于 2025-3-24 22:09:12 | 只看該作者
Akitaka Dohtani,Toshio Inaba,Hiroshi Osakarational function, we introduced the name .. for its numerator: . Our goal in this chapter is to prove several decomposition formulas for . based on triangulations of .. As we will see, these decompositions will involve both arithmetic data from the simplices of the triangulation and combinatorial data from the face structure of the triangulation.
20#
發(fā)表于 2025-3-25 00:52:46 | 只看該作者
https://doi.org/10.1007/978-94-017-3536-0 transforms a continuous integral into a discrete sum of residues. Using the ..., we show here that Pick’s theorem is a discrete version of Green’s theorem in the plane. As a bonus, we also obtain an integral formula for the discrepancy between the area enclosed by a general curve . and the number of integer points contained in?..
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