A Gallery of Discrete Volumes
A unifying theme of this book is the study of the number of integer points in polytopes, where the polytopes lives in a real Euclidean space ℝ d . The integer points ℤ d form a lattice in ℝ d , and we often call the integer points lattice points. This chapter carries us through concrete instances of lattice-point enumeration in various integral and rational polytopes. There is a tremendous amount of research taking place along these lines, even as the reader is looking at these pages.
KeywordsEulerian Number Integer Point Bernoulli Polynomial Discrete Volume Standard Simplex
Unable to display preview. Download preview PDF.