英语词汇“central difference”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

central difference n. Mathematics a finite difference calculated by subtracting the value of a function f(x) when x is decreased by a given amount from its value when x is increased by the same amount; compare backward difference n. at backward adv., adj., and n.² Additions, forward difference n. at forward adj., adv., and n. Additions.In symbolic terms, a central difference can be expressed as δ = f(x + ½h) − f(x − ½h).In quot. 1879: any of a family of formulae defined iteratively for any positive whole number i by Λ_{i +1}(f( x )) = Λ_i(f(x + ½)) − Λ_i(f(x − ½)), where Λ₁(f( x )) = f(x + ½) − f(x − ½).

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1879 E. McClintock in Amer. Jrnl. Math. 2 137 We obtain three series..expressing a differentiate in terms of what we may call upper, lower, and central differences.

1899 Proc. London Math. Soc. 31 428 The method of central differences provides us with series which converge very rapidly, and therefore are suitable for numerical calculation.

1964 Math. of Computation 18 196 The distance derivative is approximated by a central difference at the original time level.

2005 P. A. Mlsna & J. J. Rodréguez in A. C. Bovik Handbk. Image & Video Processing (ed. 2) iv. xiii. 548/2 One may instead apply simpler methods, such as the central difference operator, to estimate the partial derivatives.

单词	central difference
释义	> as lemmas central difference central difference n. Mathematics a finite difference calculated by subtracting the value of a function f(x) when x is decreased by a given amount from its value when x is increased by the same amount; compare backward difference n. at backward adv., adj., and n.² Additions, forward difference n. at forward adj., adv., and n. Additions.In symbolic terms, a central difference can be expressed as δ = f(x + ½h) − f(x − ½h).In quot. 1879: any of a family of formulae defined iteratively for any positive whole number i by Λ_{i +1}(f( x )) = Λ_i(f(x + ½)) − Λ_i(f(x − ½)), where Λ₁(f( x )) = f(x + ½) − f(x − ½). ΚΠ 1879 E. McClintock in Amer. Jrnl. Math. 2 137 We obtain three series..expressing a differentiate in terms of what we may call upper, lower, and central differences. 1899 Proc. London Math. Soc. 31 428 The method of central differences provides us with series which converge very rapidly, and therefore are suitable for numerical calculation. 1964 Math. of Computation 18 196 The distance derivative is approximated by a central difference at the original time level. 2005 P. A. Mlsna & J. J. Rodréguez in A. C. Bovik Handbk. Image & Video Processing (ed. 2) iv. xiii. 548/2 One may instead apply simpler methods, such as the central difference operator, to estimate the partial derivatives. extracted from centraladj. < as lemmas
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