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单词 partition(of an interval)
释义
partition(of an interval)

Mathematics
  • Let [a,b] be a closed interval. A set of n + 1 points x0, x1,…, xn such that

    a=x0<x1<x2<<xn1<xn=b

    is a partition of the interval [a,b]. A partition divides the interval into n subintervals [xi,xi + 1]. The norm (or mesh) of the partition P is equal to the length of the largest subinterval and is denoted by ∥P∥. Such partitions are used in defining Riemann sums (see integral).


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