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Encyclopedia of Molecular PharmacologyLet a triangle in which the vertex angle is a positive integral multiple n of a base angle be called an α — nα triangle. We find integral solutions for the lengths of the sides by a recursive method. We note that, for any particular α for which there is an integral α — nα triangle, cos α must be a rational number by the law of cosines.Ferritin 发表于 2025-3-31 03:33:18
Markus Grube,Gabriele JedlitschkyGeneralizing the Fibonacci search we define the Fibonacci search of degree .. Like the Fibonacci search, which it reduces to for . = 2, the Fibonacci search of degree . involves only addition and subtraction.profligate 发表于 2025-3-31 08:04:36
Markus Grube,Gabriele JedlitschkyThe representation of Fibonacci and Lucas numbers in terms of hyperbolic functions and the idea of deriving Fibonacci identities from known hyperbolic identities are not new (e.g., see ).Hyperplasia 发表于 2025-3-31 11:54:29
https://doi.org/10.1007/978-3-030-57401-7Let us consider the Fibonacci polynomials ..(.) and the Lucas polynomials ... (or simply .. and V., if there is no danger of confusion) defined as.and.where . is an indeterminate. These polynomials are a natural extension of the numbers ..(m) and ..(.) considered in . They have already been considered elsewhere (e.g., see ).Pillory 发表于 2025-3-31 13:37:31
https://doi.org/10.1007/978-3-030-57401-7The purpose of this investigation is to exhibit some of the fundamental properties of., the .Cardioversion 发表于 2025-3-31 20:04:58
On the Proof of GCD and LCM Equalities Concerning the Generalized Binomial and Multinomial CoefficiA strong divisibility sequence (or SDS) is a sequence of nonzero integers { a. } (n=1, 2, 3,…)that satisfies.for any positive integers m, n, where (a, b) stands for the greatest common divisor of a and b. This terminology was named by Kimberling , although this concept had been studied before by Ward and others.动机 发表于 2025-3-31 21:42:51
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