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

IRATE

Migratory

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.

INCH

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.

漂亮才会豪华

pancreas

作呕

obligation

修正案

acrophobia

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.

系列

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 ..