closed-form

A closed form for the velocity and deformation of the beam was obtained. 2.

最后给出了任意时刻梁的运动状态和变形状态的解析表达式.

互联网摘选

Solutions in closed-form of the complex potentials and the field intensity factors are given for a single crack.

对单个裂纹，给出了封闭形式的复函数解和场强度因子。

互联网摘选

This paper begins with the integral of rectangular self-reaction elements of Green's functions in two-dimensional alternating fields, followed by a derivation of the eight-order analytic approximate formulations, and a compact closed-form for the integral singularity is also presented by using equal-area approximation.

首先分析电磁场数值分析中经常遇到的二维交变场Green函数矩形自作用单元积分，导出了八阶解析近似公式，同时还给出了积分奇异项的等积圆变换简洁闭式。

互联网摘选

To avoid calculating the time-consuming Sommerfeld ′ s integrals, the discrete complex image method ( DCIM) is employed to obtain spatial domain closed-form Green's function for planar-layered media.

使用离散复镜像方法（DCIM）快速得到平面分层介质的空间域的闭式格林函数，避免了费时的索末菲尔德积分。

互联网摘选

Then, based on the above performance analyses, a novel relay selection scheme, named Maximum Average Bidirectional Mutual Information ( MABMI), is proposed and the closed-form solutions to the system outage probability and ABEC of the proposed scheme are obtained.

然后基于上述性能分析，提出了平均双向互信息最大中继选择方案，并推导出该方案的系统中断概率和平均双向各态历经容量的闭合解。

互联网摘选

Based on the dynamic CSIT mode, closed-form solution of Tomlinsion-Harashima precoding ( THP) is derived through a Lagrangian approach.

基于动态CSIT模型估计得到的信道信息，通过拉格朗日乘数法推导出闭式的THP预编码器。

互联网摘选

In the developed method, all singularities were extracted and calculated in closed form. Secondly, in order to analysis Frequency Selective Surfaces ( FSS) which is loaded by dielectric, finite element tearing and interconnecting method and parallel multilevel fast multipole approach are adopted.

其次，为了分析含有介质加载的频率选择表面，有限元部分采用有限元撕裂对接法，边界积分部分采用并行快速多极子技术。

互联网摘选

Major objectives are to improve power system stability and to guarantee generator terminal regulation accuracy. In this paper, based on nonlinear optimal predictive ( NOPC) theory, a novel multi-objective excitation controller with closed-form analytic solution control law is presented.

以提高电力系统稳定性和维持机端压电静态调节精度为目标，基于非线性最优预测控制理论，首次设计出具有闭合的解析形式控制律的非线性励磁控制器。

互联网摘选

As an ideal market condition, this paper develops the optimal ordering quantity and the optimal selling prices with closed-form expression.

作为一种最理想的市场情形，本文给出了具体的最优售价和最优生产/订购数量的数学解析表达式。

互联网摘选

The main objectives of this paper are to improve power system damping and to maintain voltage at the Static Var Compensator ( SVC) location bus simultaneously. A new controller for SVC with closed-form analytic solution nonlinear optimal predictive control ( NOPC) law was proposed.

以增加系统阻尼和维待电压水平为目的，基于非线性最优预测控制理论，设计出具有闭合形式解析控制律的SVC控制器。

互联网摘选

Using steady state rate equations, closed form solutions for carrier density in the active layer is deduced.

利用稳态速率方程, 导出了激光器有源区载流子密度与偏置电流及输入信号光功率关系的隐函数表达式.

互联网摘选

In a Black-Scholes setting, we obtain closed-form explicit solutions of the best constant-rebalanced portfolios.

在Black-Scholes金融市场设置下，利用Roy提出的安全第一（SafetyFirst）准则，导出了最优常数再调整资产组合投资策略的显式表达式。

互联网摘选

METHODS Questionnaire for 119 closed form of the personnel of service of family planning technology were studied.

方法采用封闭式问卷调查形式对119名乡级计划生育服务人员（简称乡级服务人员）进行研究。

互联网摘选

The axial shear modulus has been derived in closed form by using the conformal mapping approach integrated with the Laurent expansion.

利用解析函数的保角变换与罗朗级数展开，获得了轴向剪切模量的封闭公式。

互联网摘选

This paper presents a new solution of absolute orientation in the closed form.

本文提出了一种新的绝对定向一般闭合解法.

互联网摘选

Two-level discrete complex image method ( DCIM) is used to compute the closed-form Green's functions efficiently.

采用二级离散复镜像方法快速计算微带结构的闭式格林函数。

互联网摘选

We describe a class of closed-form solutions of the paraxial wave equation, the elegant cosh-squared-Gaussian ( EchSG) beams whose parameter related with cosh function part is complex number.

本文引入了近轴近似下波动方程的解&复变量双曲余弦平方-高斯光束，该光束与双曲余弦函数项相关的参数为复数。

互联网摘选

Far field radiation pattern is compared with that by closed form equation.

并与已知公式远场之场型比较近场与远场场型特性之差异.

网络文摘精选

Using steady-state rate equations, closed form solutions for carrier density in the active layer is deduced.

利用稳态速率方程, 导出了激光器有源区载流子密度与偏置电流及输入信号光功率关系的隐函数表达式.

互联网摘选

Replace lamps and lanterns, please ensure switch in closed form.

更换灯具时，请先确保开关处于闭合状态。

互联网摘选

Two-level discrete complex image method ( DCIM ) is used to compute the closed-form Greens functions efficiently.

采用二级离散复镜像方法快速计算微带结构的 闭式 格林函数.

互联网摘选

An improved direct DCIM for fast calculation of the closed-form Green's functions in multilayered media

一种改进的快速计算多层媒质闭式格林函数的直接DCIM

互联网摘选

Numerical results show that the two-level DCIM is an efficient method for calculating the closed-form Green's Functions.

数值结果表明，二级离散复镜像方法是一种快速、有效的求解闭式格林函数的方法。

互联网摘选

Derive closed-form and asymptotic expressions from series and recurrences for growth rates of processes.

利用级数和递推式,为程序成长率导出封闭型态与渐近表达式.

互联网摘选

The closed form solution can be obtained from method of S-transformation: a variation of Laplace transformation.

用S变换法: 拉氏交换的一种变形,可得封闭解,并有例示.

互联网摘选