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单词 forward difference
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forward difference
forward difference n. Mathematics each of a set of finite differences calculated by subtracting the present value of a function f(x) from a new value when the argument x is increased by a small amount; frequently attributive; cf. backward difference n. at backward adv., adj., and n.2 Additions, central difference n. at central adj. Compounds.In symbolic terms, a forward difference ∆h = f(x + h) − f(x), in contrast to a backward difference, where ∇h = f(x) − f(xh).
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1900 Jrnl. Royal Statist. Soc. 63 454 For X = 1, using advancing differences up to the third, I find μ = .04925.]
1920 Tracts for Computers ii. 17 Forward difference formulae, central difference formulae and Lagrangian formulae, when the interpolants are spaced equally apart are really different aspects of the same process.
1954 P. D. Lax in L. Bers et al. Contrib. Theory Partial Differential Equations xii. 227 The scheme employs forward differences in time and so distinguishes plus t from minus t.
2007 W. M. Stacey Nucl. Reactor Physics (ed. 2) xvi. 610 The simplest approximate solution to Eq. (16.52) is obtained by a simple forward-difference algorithm.
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