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- W20659783 abstract "Let X denote an s x n integer matrix with columns x 1 ,…,xn I ZS {0}. (Sometimes we will also denote the set of vectors {x1,…,xn} by X too.) We will assume throughout the following discussion that (1.1)$$0 notin [X],$$(1.1)where [ A ] will mean the convex hull of the set A. The main object of our study is the function$$t(a|X) = |{ beta in Z_ + ^n:Xbeta = a} |,$$(1.2)where a E Zs and I A I denotes the cardinality of the set A.This function which we have referred to earlier as the “discrete truncated power”, [DM1], counts the number of nonnegative integer solutions a = (019 ...,pn) to the linear diophantine equations$$sumlimits_{j = l}^n {x_i^j{beta _j} = {alpha _i},{text{ }}{alpha _i} in Z,i = 1, ldots s,} $$whose coefficient matrix is X." @default.
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- W20659783 date "1985-01-01" @default.
- W20659783 modified "2023-09-28" @default.
- W20659783 title "Combinatorial Aspects of Multivariate Splines" @default.
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- W20659783 doi "https://doi.org/10.1007/978-3-0348-9321-3_13" @default.
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