查询词典 integral formula

The representation of functionals of Brownian motion in terms of stochastic integral with respect to Brownian motion is known as Clark formula.

布朗泛函以布朗运动随机积分来表示是可被称之为克拉克公式。

Using the new comparative method, the variation of constants formula, M-matrix theory, integral differential inequality, new theoretical results on global exponential stability of neural networks with bounded time-varying delays and Lipschitz continuous activation functions have been obtained.

利用新的比较方法的思想，改进了一维线性和非线性纯时滞微分系统的3/2稳定性定理，推广了Yorke条件到具两个时滞项的情形，将Yorke等人的3/2稳定性定理推广到具两个时滞项的线性和非线性纯时滞微分系统，进一步还推广到N维纯时滞微分系统，为纯时滞神经网络的研究打下理论基础。

By use of the time split method, a conservation difference formula is established to find the solution to the shallow water equation based on the finite volume control method from integral equations.

作者中文名：李光炽；王船海；周晶晏摘要：采用二分步法，从积分型方程出发，在有限控制体上建立守恒型差分格式，对二维浅水波方程进行求解。

Based on the theorems of holography and linear system,the numerical reconstructing methods of the off-axis lensless Fourier transform hologram by Fresnel diffraction formula and by the convolution method based on Rayleigh-Sommerfeld diffraction integral and by angular spectrum theorem are studied.

根据全息理论和线性系统理论，采用离轴无透镜傅里叶变换全息记录光路，对利用菲涅耳近似法、基于瑞利—索末菲衍射积分的卷积法以及角谱理论方法数值重建全息图进行了比较研究，并做了计算机模拟验证。

It is well known that the Cartan form is nonunique for higher-order Lagrangian density, we find it was caused by higher-order mixed multiple integral in using Stokes formula in actually calculus variation.

众所周知，高阶Lagrangian对应的Cartan形式是不唯一的，在实际的变分计算中，我们发现Cartan形式的不唯一性是由利用Stokes公式求高阶混合多重积分的不唯一性引起的。

This paper analyses axial effort between bend and adjacent straight pipe by integral calculation.In this paper it deduces the computing formula of axial effort,which lays a foundation of stress analysis on bend.

项江从弯管的受力分析入手，通过积分计算，分析了弯管与相邻直管段的轴向作用力，并推出了该轴向作用力的计算公式，为弯管的应力分析打下了基础。

According to the concept of normalised load, this paper also offers the formula and the parameters H〓 for estimating J-integral, where H〓 is listed at tabular functions.

依据标准载荷的概念，给出了估算J积分的计算公式和所需参数H〓，其中H〓被列成表格化函数。

This paper analyzes the compound attractor structure of a new three-dimensional autonomous chaotic system.

分析了一种新的三维自治混沌系统吸引子的复合结构。

ON shut rivals out of their transmission systems and shy away from reinvesting their profits in network improvements.

ON将竞争者挡在了其输送体系之后，并不愿将其收益再投资于网络改建工作。