查询词典 Green theorem

In order to expand half space Green's functions with addition theorem, a high order approximation method is proposed for evaluation of reflection term of half-space Green's functions with far interactions.

采用高阶拟合方法将远区相互作用单元的半空间空域格林函数用级数表示，对高阶拟合项作加法定理展开，进而应用多层快速多极子算法。

The contributions to the induced current and voltage by various electromagnetic field components, such as the vertical electrical field, the horizontal electrical field and the horizontal magnetic field, are compared in this paper in terms of integral of Green function and superposition theorem.

结果显示，Agrawal和Taylor模型得到的电压、电流响应是一致的，可以考虑在有界波电磁脉冲模拟器中进行短线缆的效应实验；由于相同的场分量在不同的模型中对电压、电流响应的贡献并不相同，因此在阐述某一场分量对线缆响应贡献大小时，应该首先说明所采用的传输线模型。

Applying the Green′s theorem and a moving oscillating source, an integral equation method is developed for predicting wave height on a shoal in current. The integral equation is discretized by a higher order element method.

利用格林定理和移动脉动源建立了一个积分方程方法，并利用高阶方法对积分方程进行了离散和求解，用于计算波浪和水流在浅滩上发生的绕射现象。

Yano about the harmonic and Killing vector fields in Compact orientable Riemannian spaces with boundary by means of Stokes' and Green's theorem.

Yano 关于具有边界的可定向黎曼流形上的调和和Killing向量场的结果加以推广，显然这个方法也可应用到调和张量场和Killing张量场的情形，这将在另文讨论。

We present a strict derivation by applying Green′s theorem for a linear integral expression of the gravity anomaly produced by a 2D homogeneous source. The result thus acquired coincides with a documented formula, but our method is simpler and mathematically compact.

本文基于格林公式，给出了均匀二度体重力异常线积分表达式的严格数学推导过程，其结果与前人推导出的结果完全相同，但我们的方法在数学上更简单，也更严谨。

First, based upon the fields in the single cavities, open and short modes are constructed, whose coupling holes on disks are shorted magnetically and electrically respectively. Second, the whole field in the chain is expanded with the short and open modes. With the Galerkin method and the second vector Green theorem, it is possible to describe the physics problem by a simple general eigenvalue matrix equation. Here, the dispersion curves in periodical structures are available.

它首先利用有限元等方法计算各加速单腔中的电磁场，根据一定规则构造成所需的开模和闭模，然后把整个长腔链加速结构中的场用这些开模和闭模展开，再利用伽略金方法和第二矢量格林定理进行数学变换，考虑各模式在加速腔壁和腔间耦合孔处的边界条件后，就能把加速结构中电磁场用数学上的广义本征值矩阵问题描述，从而能够得到所求的色散曲线和电磁场形态。

In the first part, first, the operational principle of Varivec Propeller is explained. Secondly, the mathematical model for predicting longitudinal and transverse movement hydrodynamic characteristics of Varivec Propeller under steady or unsteady condition are present, based on the general propeller lifting-surface theory, potential flow theory and Green theorem. Thirdly, theoretical calculation methods for predicting hydrodynamic characteristics when the influence of paraboloidal boss on the performance of Varivec Propeller is or isn't considered are present, based on The finite basic solution method, the unsteady vortex lattice method and Hess-Smith method Different rake angle is adopted according to different desire in practical application.

在理论计算部分，本文首先给出了全方向推进器的工作原理，然后基于常规螺旋桨升力面理论、势流理论和格林定理建立了定常和非定常状态下全方向推进器纵向、横向运动的水动力性能计算的数学模型，并利用有限基本解法、非定常涡格法和Hess-smith方法分别对考虑和不考虑桨毂影响时的全方向推进器纵向、横向运动水动力性能进行了数值预报。

This paper puts forward the triangle element method for calculating gravity anomaly of three-dimensional sphere-coronal model by using the divergence theorem. In this study, the volume integration was changed into surface integral, a series of triangles were used to fit the surface, and then the Green's formula was adopted to change surface integral into line integral. At the same time, a reasonable calculation program was given.

提出利用高斯公式将体积分变成包围该积分域的全表面积，应用一系列三角形拟合计算表面，然后通过格林公式把对每个三角形的面积分变成对三角形每边的线积分之和的三角元法来计算三度体球冠模型重力异常，同时给出了合理的计算方案。

One is for Green's function in elements by using linear integrals; the other is for its normal derivative by the divergence theorem.

作法是仅需对原有的奇异性核函数加入一项使其异性消除，同时再将函数的解析积分值减去原方程式。

This article investigates the two-point boundary value problem to a coupled system of nonlinear fractional differential equations. By applying growth conditions on the nonlinear terms, we obtain an existence result of solutions. Our analysis relies on the Schauder fixed-point theorem and the reduction of the considered problem to the equivalent coupled system of integral equations.

本文讨论非线性分数阶微分方程耦合系统的两点边值问题，应用Green函数，将其转化为等价的积分方程耦合系统，并设非线性项在无穷远处有增长条件，应用Schauder不动点定理证明解而非限于正解的存在性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。