Using multiple integral to prove a generalization of Pythagoras theorem and to calculate the Moivre s integral.
利用多重积分证明毕达哥拉斯定理的一种推广和计算Movire积分。
The Vandermondeian determinant of n real number are generalized, and the general computational formulas of the multiple integrals are derived, where, aixi< 1 ,xi>0,i = 1,2.
定义了与函数相关的Vandermonde行列式,从而得到了多重积分∫_Eφ~(n)(∑_(i=0)~na_ix_i)dx_1dx_2…dx_n的一般计算公式,其中E={(x_1,x_2,…,x_n)|∑_(i=1)~na_ix_i≤1,x_i≥0,i=1,2,…,n},x_0=1-∑_(i=1)~nx_i,并给出了若干特例。
in this paper, using the mathematical induction, a class of compulational formulas for the multiple integral is proved.
得到了一类多重积分的计算公式，并运用数学归纳法给出了证明。
Monte Carlo method by adopting uniform random number is a simple and effective way to calculate multiple integrals, its structure is simple and easy to program and debug.
采用均匀随机数蒙特卡罗法计算多重积分是一种简单而有效的方法,其程序结构简单,易于编制和调试。
An Approximate Calculation Method for Multi-integral--Monte Carlo Method;
多重积分的一种近似计算方法——统计试验法
integrating multiscanning field ionization mass spectrometer
积分多重扫描场致电离质谱计
Multiple Unsymmetrical Core Hardy-Hilbert's Integral Inequalities
多重的非对称核Hardy-Hilbert积分不等式
Multiple Hardy-type Integral Inequality with the Best Constant Factor
一类多重的Hardy型积分不等式及最佳常数
The integration by parts is one of the most important integral method.
分部积分法是一种很重要的积分方法.
Existence and Stability of Periodic Solutions for a Class of Integro-differential Equations with Multiple Delays;
具有多重时滞的一类积分微分方程周期解的存在与稳定性
Tmultiple Stratigraphic Division and Correlation and Depositional System Analysis of Middle Late Triassic in West of Sichuan
川西地区中晚三叠世多重地层划分对比及沉积体系分析
Integrals extend to higher dimensions through multiple integrals.
积分借着重积分扩展到较高的维数。
Applications of the Proof on the Integral Inequality by Double Integral;
二重积分证明积分不等式的若干应用
Discussion on the Pedagogy of Concept of Limit,Definite Integral and Double Integral;
极限、定积分、二重积分概念教法之探讨
Solving the problem of Definite Integral by Means of Double Integral;
利用二重积分解决有关定积分的问题
INTEGRAL POLYNOMIALS OF GENOCCHI’S POLYNOMIALS AND THEIR PROPERTIES
Genocchi积分多项式及其性质
Construction of the Regional Elements of Differential Calculus and Re-integration into a Single-integral Directly
构建区域元素一元微分 重积分直接化为单积分
Exploration of Relationship Between Improper Double Integral and Improper Iterated integrals;
广义重积分与广义逐次积分的关系探讨
Calculating Multiple Integral by Odevity of Function and Symmetry of Regions
利用函数奇偶性和积分区域对称性计算重积分
Using special integrating region and special integrand to simplify calculation of double integral;
利用特殊积分区域及特殊被积函数简化二重积分计算
dual or multiple sectoring
双重或多重部门分类
Reaching many important common understandings and positive results in many ways
达成了许多重要共识,取得了多方面的积极成果