查询词典 positive integer

Hua Luo—geng [1] has proved the generalized Opial ineguality: where y is an absolutely continuous function on,y=o and l is a positive integer.

华罗庚先生[1]证明了当y是上绝对连续函数，y=O时，推广的opial不等式对正整数ι都成立。

Smarandache function ; Asymptotic formula ; Equation ; Positive integer solutions ; Infinity series

Smarandache函数；渐近公式；方程；正整数解；无穷级数

For any positive integer n, about the Smarandache LCM dual function SL*, the main purpose of the fifth Chapter is using the elementary method to study the calculating problem of a Dirichlet series involving the Smarandache LCM dual function SL* and the mean value distribution property of SL*, obtain an exact calculating formula and a sharper asymptotic formula for it.

对于给定的自然数n，关于Smarandache LCM对偶函数SL~*，本文第五章利用初等方法研究了一个包含SL~*的Dirichlet级数计算问题及SL~*的均值性质，分别给出了精确计算公式和一个较强的渐近公式。

For positive integer n, let denote the number of 1's in the base 2 representation of n.

对於正整数n，设为n 在二进制表示中「1」的数目。

According to Sarkovskii's theorem, if the continuous self-map f of the closed interval has a 3-periodic orbit, then f must has an n-periodic orbit for any positive integer n But f can not has all n-periodic orbits for some n.

但f不可能有所有类型的n-周期轨。例如：则f仅有两种类型的3-周期轨中的一类。这表明Sarkovskii定理远远没有给出周期轨之间的关系的全部信息。

Ifσ: I→C is an incidence coloring of G and |C|=k, k is a positive integer, then we say that G is k- incidence colorable andσis a k - incidence coloring of G; The minimum value of k such that G is k -incidence colorable is called the incidence chromatic number of G, and is denoted byχ_i, namelyχ_i = min {|C||σ: I→C is an incidence coloring of G}.

若σ：I(G→C是G的一个关联着色且|C|=k，k是一个正整数，则称G是k-可关联着色的，σ是G的一个k-关联着色；使得G是k-可关联着色的最小的k值称为G的关联色数，记为X_i，即X_i=min{|C||σ：I→C是G的关联着色}。

In arithmetic the positive integer and the positive fraction were sufficient for all requirements.

在算数中，曾经正整数和正分数能够满足所有的需求。

An expression of a positive integer as a sum of positive integers.

首先应了解应该除掉的三大敌人：犹豫不决、怀疑和恐惧。

Where m, n is a positive integer, x, y is a positive real number and H, L represents Si, SiNx film, respectively.

前面用逗号，同时描述几组，每组都是两个。m， n是整数，x，y是正实数，H，L代表硅和氮化硅薄膜。

For , it can be shown that , and In chapter 2, using some well-known results, several inequalities on eigenvalues of the generalized Schur complement of BAB* where A is positive semidefinite are obtained:(1) If ,,, and l is an positive integer satisfying

第二章对形如BAB~*的矩阵乘积，介绍了几个关于其Schur补的特征值不等式，并在已有结果的基础上，利用定理1.1.1，得到了其广义Schur补特征值的诸多不等式。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。