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单词 backward difference
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backward difference
backward difference n. Mathematics each of a set of finite differences calculated by subtracting a previous value of a function f(x) from the present value when the argument x is varied by a small negative amount; frequently attributive; cf. forward difference n. at forward adj., adv., and n. Additions, central difference n. at central adj. Compounds.In symbolic terms, a backward difference ∇h = f(x) − f(xh), in contrast to a forward difference, where ∆h = f(x + h) − f(x).
ΚΠ
1906 Ann. Math. 7 144 The fractions..are simply the forward and backward difference quotients of F at c.
1940 Math. Gaz. 24 240 Another example [of a simplex formula] is..that of various orders of derivatives in terms of forward or backward differences.
1977 D. B. McWhorter & D. K. Sunada Ground-water Hydrol. & Hydraulics vi. 247 Stability is not a problem with the backward difference method.
2005 Amer. Math. Monthly 112 368 The summation fn(z) is the result of applying the nth backward difference operator to f0(z) = 1/z.
extracted from backwardadv.adj.n.2
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