函数的积分

In addition, the properties and the characteristic theorems of this kind of integral are discussed by means of studying abstract functions in Banach space.

又在此导数基意义下定义了平面上模糊数值函数的Henstock积分，并利用Banach空间上的抽象函数对其进行了刻划。

You're not really asking whether it has an antiderivative, but whether you know the name of that function.

所以这道题真正问的并不是"此函数是否有不定积分"，而是"你是否知道此函数的名称"。

In terms of Cauchy s integral formula of analytical complex function and the three order spline function of complex variable, a general boundary solution method is presented for solving the complex potential field of the flow field around a 2D semi infinite body .

采用复解析函数的Cauchy积分公式和物面复势三阶样条函数逼近，提出了一种求解二维半无限体势流绕流问题复势的通用方法。

The Green's function in complex domain is introduced to turn the mixed boundary value problems of the fluid potential to the problems of Cauchy's dual integral equation.

文中采用了复域内格林函数解法，将势函数的Herbert问题转化为对Cauchy型奇异积分方程的求解。

The final result indicates that in the expression of the completeness relation,the integral path is along the real axis from -∞ to ∞ but runs over near the origin,which is contrary to the Cauchy principal value appearing in previous works.

同时得到展开式中的积分是沿实轴从-∞到∞，但在原点附近将从上方绕过。这不同于过去所得的C auchy主值积分。为最明确显示这一差别，在单孤子情况下又用平方Jost函数的显式，直接作了验证。

Application of FLAC and numerical differential to surface deformation observation;2. The formulas solving numerical differential and integral of discrete function arc deduced in this paper.

推导了三次样条插值在求解列表函数的数值微分与积分的公式，给出了余项估计，编写了用于求解数值微分与积分的通用程序，通过数值算例表明，三次样条在插值逼近中具有非常好的性质。

On the other hand, when we are proving the upper bounds of the Hausdorff measure functions for the level sets, although we get the answer to the cases for the symmetric processes, we had to consider multi-integral of highly dimensional functions, the proof is quite complex. Therefore, we suggest that the proof for the corresponding problem needs some new ways.

另一方面，我们在证明严格稳定过程的水平集的Hausdorff测度函数的上界时，虽然我们得到了对称的多参数稳定过程的水平集的Hausdorff测度函数上界，但是我们的方法必须考虑多重的高维积分，其证明过程也已经相当复杂，因此，我们认为，为了得到一般的严格稳定过程的水平集的Hausdorff测度函数上界，还需要引入其它新的研究方法。

2The matrix elements of the equation is obtained in the form of general formulaby cautions deduction using spinor formula,together with identical transformation andintegral formula related to FG.

运用诸旋量计算公式和含G函数的恒等变换、积分公式，经过细致的推导，以通项公式形式给出该一维积分方程相应于〓态的诸矩阵元。

The symmetry of integral domain and the parity of integrand not only reflect the beauty of math, but also make integral computation more simple and convenient.

积分区域的对称性和被积函数的奇偶性不仅体现了数学美，而且可以使积分的计算变得简单又方便。

However,To prove Inequality with elementary method,we often create complex computational process. The second ,we will take full advantage of the knowledge of calculus Inquiry Testimony of inequality,and concluded the higher mathematics to prove Inequality several main method and its application conditions.Constructors in the context of the use of the monotone function,Calculus value theorem,function and the most extreme value,integral, it can be a very effective solution to the inequality problem proof. At last,we summed up several convenient and simple way to prove Inequality.It will be play a great role in our problem Solving.

但是用初等方法证明往往会造成复杂的运算过程，本文接着充分利用微积分的知识探究不等式的证明方法，并指出微分学和积分学在不等式的证明的具体应用，那就是在构造函数的背景下运用函数的单调性、微积分中值定理、函数的极值和最值、定积分，那么就可以十分有效地解决不等式中的证明问题，从而归纳出几种方便而又简捷的方法，这样对我们解题将会起到很大的作用。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。