函数的积分

Variants of each and all the possible inverses of these, plus digamma

各种不同的阶乘函数，贝赛尔函数，椭圆积分， sinus cardinals 以及它们的双曲变型

In order to meet the required simulation precision and meet the real-time simulation in ballistic simulation calculation,this paper analyzes the selection method of the simulation step,and then introduces variable step integration methods in Runge-Kutta to Adams and educes Adams variable step integral formulas,and then put forwards a method by seeking zero of condition function in discontinuous nonlinear system of the ballistic simulation.

在弹道仿真计算中，为了既达到要求的仿真精度又能满足实时仿真，分析了仿真步长的选择方法，然后在龙格－库塔转阿当姆斯法中引入变步长积分方法，推导了阿当姆斯变步长积分公式，同时对弹道仿真中的间断非线性系统提出条件函数求零的方法来解算弹道。

There are many important mathematical analysis of elementary function is through the function series and definition of parameter improper integral.

数学分析中有许多重要的非初等函数是通过函数项级数以及含参量反常积分定义的。

First, the physical models associated with dislocations and cracks are respectively converted to mixed boundary value problems in mathematics. Secondly, by using the Fourier transform, a dual integral equation for a crack and an algebraic equation for a dislocation can be derived from the boundary conditions relating with a crack and a dislocation, respectively. Solving these equations, exact analytical solutions can be obtained in terms of Bessel functions in close-form.

先把位错和裂纹的物理模型写成与它们相关的边值问题，然后，利用Fourier变换将这些边值问题化成一个对偶积分方程(对位错而言，得到一个代数方程)，求解此对偶积分方程，可以获得以Bessel函数给出的封闭形式的分析解。

By introducing a weight function, a best extension of Hilbert integral inequlity and the reverse form are given. The constant factor of the two inequalities is proved to be the best.

引入单参数及估算权函数，给出一个核为－λ齐次的新的Hilbert型积分不等式及与之对应的逆向积分不等式，并证明这两个不等式的常数因子是最佳的。

Because, discriminate functions, function and a series of parameter improper integral. We uniform convergence is research foundation of many mathematical problems.

因为，判别函数列、函数项级数以及含参量反常积分的一致收敛是研究许多数学问题的基础。

Calculus deals with the fundamental theories of calculus, including function, limit, continuation, derivative and differential, mean value theorem, the application of indefinite integral and definite integral, infinite series, as well as the practical instances applied in economic management.

微积分讲述微积分的基本知识，包括函数、极限、连续、导数与微分、中值定理、不定积分与定积分的应用、无穷级数等。以及这些知识在经济管理中的应用的实例与练习。

Based on the partial differtial equation,the solution of an integro-differential equation in an infinite interval is expressed in terms of the solution of this kind of equation in a finite interval.

研究了跳扩散框架下采用障碍红利分配策略模型中的自由边界问题，利用偏微分方程理论将有界区间上积分-微分方程的解用无界区间上积分-微分方程的解表示，在此基础上得到了期望累积贴现红利函数及自由边界所满足的方程

To perfect it,this paper,by using the basic knowledge in definite integral Newton—'Leibniz formula,offers an applied method of definite integral,partial quantity function infinitesimal calculus method,which is both theoretically reliable and easily applied.

一般教材都使用"微元法"给出被积函数，这一方法在理论上并非严格，为弥补该方法在理论上的不足之处，将定积分的应用方法总结为"部分量函数微积分法"。

Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers and to a prime p. It is a meromorphic function which encodes for every i the number of solutions M_i of f=0 modulo p^i.

在探究利用辐射型基底函数去解超奇异积分方程的数值解，我们选择了多重二次曲面函数和薄板型云线以及李纳德多项式去估计我们的解。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。