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单词 recurrence relation
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recurrence relation
recurrence relation n. Mathematics an expression which defines the general member of a series in terms of or as a function of preceding members.An example of a series defined by a recurrence relation is the Fibonacci series, 1, 1, 2, 3, 5, 8, .., where each number after the first is the sum of the two preceding numbers.
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the world > relative properties > number > algebra > [noun] > expression > with reference to preceding members of series
recurrence formula1893
recurrent relation1897
recurrence relation1912
1912 Proc. Royal Soc. A. 87 112 Applying the recurrence relation..we have, after further reduction, [etc.].
1979 E. S. Page & L. B. Wilson Introd. Computational Combinatorics ii. 5 If such a recurrence relation can be produced, it can usually be made the basis of an algorithm for computing values of the desired function.
1993 Jrnl. Plasma Physics 49 11 Using the recurrence relations (44) and (45) and the properties of the modified Bessel functions, one can prove that the right-hand side of (50) is positive.
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