Four Methods of Solution for Infinite Integral I=integral from n=-∞ to +∞(e~(-x)~2dx);
无穷积分I=integral from n=-∞ to +∞(e~(-x)~2dx)的四种解法
The demonstration of equivalence between two infinite integral convegence;
2个无穷积分收敛性等价的证明
Analysis on the Convergent Sufficiency of the Infinite Integral s Integrand;
无穷积分的被积函数收敛的充分性分析
a class of infinitely divisible measures m in terms of canonical measure Π associated with m.
基于一个特定二次型的基本代数结果(见引理5),研究一类无穷可分测度的弱Poincaré不等式,在测度空间上得到了该不等式的判别条件与性质。
We give some formulas for a class improper integrals integral from n=0 to ∞()(sin~r(αx)/x~s)cos~p(bx),for α≠0,b≥0,r,s,p∈N={1,2,3,…}.
给出了一类无穷积分integral from n=0 to ∞ ( )(sin~r(αx)/x~s)cos~p(bx)的计算公式,其中α≠0,b≥0,r,s,p∈N={1,2,3,…}。
In the article,some evaluations for the first kind of improper integrals ∫~∞_0sin(βx)x~ncos(bx)dx for positive integer n1 and real numbers β≠0,b0 are established using the trigonometric power formulae, the L′Hospital rule,integration by part,and mathematical induction.
利用分部积分法和L′Hosp ita l法则得到了无穷积分∞∫0sin(βx)xncos(bx)dx(其中正整数n 1,实数β≠0,b 0)的一般计算公式,并且作为副产品得到了三个组合恒等式。
Using Parseval s Equation to Solve a Kind of Infinite Integral;
用帕斯瓦尔关系式求解一类无穷积分
The Uniform and Absolute Convergence of Infinite Integral with a Parameter
关于含参变量无穷积分的绝对一致收敛的注记
Relation and Application of Convergence and Divergence Between Nonnegative Infinite Integral and Series
非负无穷积分与级数之间敛散性的关系与应用
Discussion on the Limit Becoming Zero of Integrand When the Infinite Integral converges;
关于无穷积分收敛被积函数极限为零的条件探讨
To count the infinite integral of continus integral calculus used expansion in Fourier series;
利用Fourier级数展开式计算一个连续无界函数的无穷积分
Some Sufficient Conditions about the Product of Countable Infinitesimal for Infinitesimal;
可列个无穷小乘积仍为无穷小的若干充分条件
infinitesimal area
无穷小邻域[面积]
An Application of Abstract Integral in Infinite Series;
抽象Lebesgue积分在无穷级数中的一个应用
The Numerical Calculation for Fuzzy(H) Integral on Infinite Interval
无穷区间上模糊(H)积分的数值计算
A Condition of Term by Term Integration Sequence of Integrable Functions on Infinite Interval;
无穷区间上可积函数列逐项积分的条件
Determination about the integrand of infinite integto be infinitesimal;
关于广义积分的被积函数为无穷小的判定准则
The Stability for the Infinite Time-delays Neutral Type Integral Differential Large Scale System;
无穷时滞中立型积分微分大系统的稳定性(英文)
Existence and Uniqueness of Almost Periodic Solutions to the Class of Integro-differential Equation with Impulses and Infinite Delays
一类无穷时滞脉冲微分积分方程的概周期解
The Existence of Mild Solutions to Neutral Infinite Delay Integrodifferential Equations
中立型无穷时滞积分-微分方程适度解的存在性
Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.
推论1常数与无穷小的乘积是无穷小。
Corollary 1 The product of a constant and an infinitesimal is an infinitesimal.
推论2有限个无穷小的乘积是无穷小。
The Integrals, Numerical Integrals and Differentials of Fuzzy-number-valued Functions on Infinite Interval;
无穷区间上模糊数值函数的积分，数值积分与微分
Infinitesimal Calculus On Closed Real Continuum ΩΠ（Ⅱ）;
闭的实连续统ΩΠ上的无穷小微积分学(Ⅱ)