...(數学归纳法), inclusion-exclusion principle (容斥原理), pigeonhole principle (鸽籠原理), recurrence relations (递回关系), generating functions (生成函數), Burnside’s theorem, Polya counting … 等都会有用的.
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...助人们能够很轻松的写出处理诸如无穷序列(infinite sequence)、随机过程(stochastic processes)、递推关系(recurrence relations)以及组合结构(combinatorial structures)等数学对象的优雅代码。
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Recurrence Relations and Generating Functions 生成函数 ; 递推关系和生成函数
recurrence relations method 递推关系方法
linear recurrence relations 线性递推关系
reduced recurrence relations 减少递归关系
homogeneous recurrence relations 齐次递推关系
system of recurrence relations 递归关系
three-term recurrence relations 三项递推关系
homogeneous linear recurrence relations 齐次线性递推关系
backward three-term recurrence relations 向后三项递推关系式
Based on partitions of finite sets and restrictions to the distances among the elements in each part, we generalize Stirling numbers of the second kind in two different ways. The recurrence relations, generating functions and explicit formulae are established consequently.
4.以有限集分拆为出发点,通过限制每个块中元素的距离,我们以两种方式推广了第二类Stirling数,建立了它们的递归关系、发生函数以及显式表达式,并提供了几个组合解释。
参考来源 - 反演技巧在组合恒等式中的应用All recurrence relations from equal difference, equal ratios sequences to approximation by Picard are the course of iterating in mathematics.
而在数学中,一切递推关系,从等差数列、等比数列到微分方程解的Picard逼近都是一个迭代过程。
参考来源 - 折线函数和集值函数的迭代与迭代根·2,447,543篇论文数据,部分数据来源于NoteExpress
The recurrence relations of the coefficients of the Earth's gravity have been given in this paper.
本文也给出了地球引力系数递推关系式。
This Paper gives Only a method to find the general term u_n of a Sequences Which Satisfies homogeneous Linear recurrence relations.
本文仅就满足齐次线性递推关系序列,给出它一般项求法。
This paper gives an explicit solution to linear non-homogeneous recurrence relations with constant coefficients by means of generating function.
应用生成函数的方法求出了常系数非齐次线性递推式的显式解。
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