The General Expression of the sequence Defined by U_( n+1) =a+b/U_ n and Its Application;
一类数列的通项公式及其应用
Study of the Methods in Solving General Terms Through the Sequence Given by Recursion Relations;
以递推关系式给出的数列求通项问题的研究
Super and Inferior Limits of the Sequences;
数列的上极限与下极限探析
The L Hospitcl rule in sequence of number;
数列中的"洛必达法则"
Sometimes,the problem of sequence of number summation is a little troublesome,even there is no way to deal with it.
数列求和问题有时比较麻烦,甚至无从下手。
The essay puts forward a few methods to figure the limit of sequence of number by giving examples.
研究了数列极限的几种特殊求解方法。
Some interesting sequences and their combinatorial identities;
一些有趣数列及其组合恒等式
This article discusses the contents and the relations and conversion of series, sequences and integrals.
本文就数列、级数、积分等内容,讨论了它们之间的联系及转化。
On the Nature of Fibonacci Series;
关于斐波那契数列的性质探讨
Several Substitution Method in the Series Calculation;
数列问题中的几类代换法
This paper discusses one new kind of algebraic operation on series and its character.
本文讨论源于参数切换机械系统的数列代数运算及其性质。
The proof on the boundedness,monotonicity and limit of number sequence{n/(n!)～(1/n)}
数列{n/(n!)～(1/n)}的单调有界性及极限的证明
In this paper,the weight of a subsequence for a number sequence is defined,then a theorem,that is,an arithmetic mean sequence for a sequence with finite partition corre spond to convergent subsequence convergence to a li near combination of subsequence limit and the coefficient are the weight of a subsequence,is given.
对一般数列的情况进行了讨论,给出了数列的子列权的概念,得出了关于数列的算术平均序列的一个定理,即存在有限划分的收敛子列的数列,其算数平均序列收敛于其子列极限的线性组合,而系数正是相应子列的权。
The thesis firstly gives an introduction to Stolz theorem which in style and style,then popularizes it from the situation of number sequence to the situation of function.
极限论中求型和型的数列极限,应用Stolz定理非常有效,Stolz定理可说是求数列极限的洛必达(LHospital)法则。
Probe into the Problem of convergence for sequence of numbers {a_n};
数列{a_n}收敛问题的探索
Prove one simple nature of convergence for sequence of numbers , Popularize this to convergence series.
证明了收敛数列的一个简单性质。
It is equal in value of proved that it had necessary limit which sequence of numbers are monotonous and bounded or converge of Cauchy s norm.
单调有界数列必有极限是极限理论中一个很重要的结论 ,而柯西收敛准则则以另一种形式表达了这一结论。
a column for the tens and a column for the units
十位数列和个位数列.
Series of Fibonacci and the Determinant of the Diagonal Form;
Fibonacci数列与对角形行列式
Fibonacci Numbers and Euclidean Algorithm;
Fibonacci数列与Euclidean除法
The period of a set of modular sequence of Fibonacci Sequence;
Fibonacci数列的一组模数列的周期
The Quotient s Integrity of Fibonacci Number and Lucas Number;
Fibonacci数列和Lucas数列商的整性Ⅱ
Period of Fibonacci sequence modulo F_k(k>3)
Fibonacci数列关于模F_k(k>3)的模数列的周期
Using two line of three row determinant to prove three numbers being distance of equality sequence
利用二行3列式证明三数成等差数列
The number or range of numbers in a set that occurs the most frequently.
众数一组中出现最频繁的数或数列
The number of elements in a finite set.
指数有限数列中元素的数量
The ordinal number matching the number nine in a series.
第九在数列中与数字9相配的序数词
The Mean Value of Arithmetic Function on Special Sequencs
关于一些特殊数列上数论函数的均值
Mathematical Recreation(Ⅴ):Generalized Fibonacci's Number and Sum of Power Series
数学娱乐(五)——推广Fibonacci数列与幂级数和
The Number of Primes in a Class of Arithmetic Progression
一类特殊等差数列中的素数个数问题
The number of rows or columns in a determinant or matrix.
行列数行列式或矩阵中行或列的数目
a set of data arranged in rows and columns.
以行列排列的一组数据。
series and tail series
整数系列与零头系列
similar permutations
【数】同班[相似]排列
odd permutation
【数】奇排列, 奇置换