查询词典 modular equation

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

First, we derive the Slant operational matrix of integration and set up Slant conversion table, then we could solve the differential equation and the partial differential equation easily.

首先，推导出 Slant 转换的积分运算矩阵，然后建 Slant 转换表，之后我们就能轻地求解微分方程和偏微分方程的问题。

In the present paper,we first investigate the following initial-boundary valueproblem of parabolic Monge-Ampere equation〓 in 〓(1)〓 on 〓(2)where Ω is a bounded convex domain in 〓 denotes the parabolic boundaryof Q,and second give a preliminary probe into the initial value problem of aspecial kind of parabolic Monge-Ampere equation which comes from the theoryof optimal investment in mathematical finance.

本文首先讨论如下抛物型Mongc-Ampère方程的第一初边值问题〓（1）〓（2）其中〓为〓中的有界凸区域，〓为Q的抛物边界，然后针对一种在数学金融学的最优投资理论中导出的特殊形式的抛物型Monge-Ampère方程的初值问题进行了初步的探讨。

By decomposing the problem system into an extended saturated soil system and a virtual pile system, through the strain compatibility condition between the extended saturated soil system and the virtual system at an arbitrary depth z along the pile, and combined the Laplace transform and its convolution, a Fredholm intergral equation of the second kind of the single pile in saturated layered transversely isotropic soils is established. The axial force and diaplacement of the pile are obtained by solving the Fredholm intergral equation.

将求解体系看作是饱和土体和虚拟桩的叠加，利用沿桩身任意一点z处饱和地基与虚拟桩的应变协调，并结合Laplace变换及其卷积性质，建立了饱和成层横观各向同性地基中竖向受荷单桩问题的第二类Fredhlom积分方程，对该积分方程进行求解可得桩的真实轴力、位移。

Aimed to the differential equation in form of convolution and the functional presented by M. E. Gurtin, the matrix operator which includes the differential equation and the boundary condition is proved self-adjoint, furthermore a general variational principles in form of convolution and the preparation theorem are given and proved.

针对M.E.Gurtin提出的含卷积运算的抛物型偏微分方程及其对应的泛函，运用泛函势算子理论，从理论上证明了含卷积运算的抛物型偏微分方程及其边界条件所对应的矩阵算子有势，进而给出并证明了具有普适意义的含卷积运算的变分定理及预备定理。

Based on the wave equation of longitudinal vibration of variable cross-session rod, the frequency equation and parameter formula of cosine horn are educed, the cosine horn with same frequency and different area ratio is designed by using Matlab language.

根据变截面杆纵向振动的波动方程，推导了余弦形变幅杆的频率方程和重要参数的计算公式。

Equation (1) is Gauss theorem, it is can be derived from Coulomb's law, expressed the electric field diverges outward from the charge, equation (2) expression does not exist a separate poles.

方程式（1）就是高斯定理，它可以从库仑定律推导出来，表述电场从电荷向外发散，方程式（2）表述不存在单独的磁极。

Based on the dynamics fundamental equation, the rigid ships rolling coupled oscillation model was established, then the definite condition of the coupled oscillation equation under the regular transverse wave and first-order ordinary differential equations were presented. The ship vibration rule under the regular transverse wave was analyzed by examples, simultaneously the influence of damping coefficient on the vibration type was discussed.

基于动力学基本方程，首先建立了刚性船舶横摇的耦合振动方程，然后给出了在规则横浪激励下的耦合振动方程的定解条件和一阶常微分方程组，最后通过算例计算了在规则横浪作用下船舶的振动规律，同时研究了阻尼系数等参数对其振动规律的影响情况。

In this paper, the JFO condition, satisfied with global mass continuity, is incorporated into an universal Reynolds equation with micro-polar fluid which is solved for the oil film pressure using OSM and FEM. The bearing load capacity and friction resistance were given, and stiffness/damping coefficients and critical rotor mass were obtained by solving a pressure perturbation equation with micro-polar lubricants.

本文采用满足全流场质量连续的JFO边界条件，采用微极性流体的广义雷诺方程来求解油膜压力分布，进而获得油膜承载力和粘性阻力等轴承动力特性量；采用小参数摄动法得出油膜压强扰动方程，并采用有限元法解出扰动压强，积分扰动压强获得油膜的阻尼系数和刚度系数，进而求得了表示轴承油膜稳定性的临界转子质量。

Analyse the tooth geometry of Klingelnberg Cyclo-Palloid spiral bevel gear.,according to the relative position and kinematic relation of the cutter heads,virtual crown gear and the processed wheel blank,established the system of coordinates of the gear cutting, dedcuced the tooth face equation of the virtual crown gear, according to relations of the gear cutting and space theory of engagement, deduced the tooth face equation of klingelnberg Cyclo-Palloid spiral bevel gear, and drawing the three-dimensional graphs of the virutal crown gear and Klingelnberg Cyclo-Palloid spiral bevel gear according to the design and setting parameters.

根据铣齿加工中刀盘、摇台和轮坯的相对位置和相对运动关系建立了切齿啮合坐标系，由矢量的旋转推导了产形轮齿面方程；根据空间啮合原理和切齿啮合关系推导了被加工齿轮的齿面方程；由设计参数和铣齿调整参数计算得到齿面离散数据，绘制了产形轮和摆线齿锥齿轮的三维齿形。

The changes of the HAF after liver injury may be related to the volume of blood loss, the intraabdominal pressure and the pneumoperitoneum duration.

肝撞击伤伴失血后肝动脉血流量的变化与失血量、气腹压力以及气腹持续时间等有密切联系。

Reneging on our commitments to the world's poor cannot be an austerity measure, she said.

放弃我们给世界上的穷国的承诺不能成为一种紧缩措施。