提出一类基于基函数展开的双隐层过程神经元网络模型。
A class of process neural network model with two hidden-layer based on expansion of basis function is brought forward.
第八章研究1维力学和2维弹性力学问题的特征函数展开解法。
In chapter 8 solutions by eigenfunction expansion to 1-dimensional problems of mechanics and 2-dimensional problems of theory of elasticity are researched.
本文介绍利用本征函数展开处理圆拄面光栅电磁理论的边值问题。
In this paper we describe the eigen-function expansion for the boundary value problems of electromagnetic theory of cylindrical grating.
特殊函数展开法被用于解决多分散具势悬浮体系中粒子的沉降问题。
The special function expansion method was applied to solve the sedimentation problem of polydisperse colloid system.
本文利用矢量波函数展开法求解了任意激励原埋入体的电磁散射问题。
An analysis of solving the electromagnetic scattering by buried objects using the vector vvave function expansion is presented.
为简化模型的计算复杂度，开发了一种基于正交基函数展开的学习算法。
To simplify the calculation, a learning algorithm based on the expansion of the orthogonal basis functions is developed.
在线性有势流的假定下，用特征函数展开方法求出了内部和外部流场的解。
Under the assumptions of linearized potential flow, the coupled problem of flow in the interior and exterior fluid regions was solved by an eigenfunction expansion approach.
然后，采用分离变量法和特征函数展开法在相应的边界条件下求出级数解。
Secondly, the method of separation of variables and the eigensolution expansion method are used to obtain the analytical solutions of thick plates under corresponding boundary conditions.
不用任何函数展开，通过迭代方法求解平衡态方程，得到精确的取向分布函数。
Without any functional expansions, accurate orientational distribution functions are obtained by using a newly iterative method to solve the equation of equilibrium state.
就此讨论一类等比级数在求幂级数的和函数以及将函数展开成幂级数时的应用。
In this paper, we discuss how to use the geometric series to find the sums of power series and to represent functions by power series.
本文讨论了福克-普朗克方程的两种基本解法，即本征函数展开和路径积分方法。
Two basic methods of solution of the Fokker-Planck equation, i. e. the method of the representation of eigenfunction and that of the path integral, are discussed.
给出的典型数值计算结果证实了这种方法与有限拉盖尔·高斯函数展开法是等价的。
Typical numerical examples have been given, showing the equivalence of this method and the finite Laguerre Gauss function expansion.
本文给出能量有限带限信号外推问题新的解析解，它比长球波函数展开法更为简单。
This paper proposes a novel method to obtain a simple analytical solution to extrapolation problem for band-limited signals, which is much easier than prolate spherical wave function expansion method.
利用自然正交函数展开的前三个特征向量场及对应的时间系数将梅雨降水分成三类六型。
The Meiyu precipitation can be classified into three classes and six patterns by using the first three characteristic vectors and their corresponding time coefficients.
采用将矩形函数展开为有限个复高斯函数之和的方法，推导出了光场分布的解析表达式。
With the rectangular function expanded into a finite sum of complex Gaussian functions, an approximate analytical propagation equation of HChG beams is derived.
在改进BP算法与网络训练的结合过程中，权函数及输入函数皆被用同一正交基函数展开。
In the process of application of Improved BP algorithm in PNN, the input functions and the network weight functions are represented as expansion of a same orthogonal function basis.
本文运用本征函数展开方法，求解均质杆——弹簧系统受序列矩形脉冲激励的振动响应问题。
This paper, using characteristic function expansion method, have soluted a vibration response problem of a uniform bar-spring which was subjected to a series of rectangular pulses excitation.
给出了一种不含导数的函数展开方法，在函数的连续区间内构造一个无穷级数作为函数的展开式。
To construct a progression at infinity as an expansion of function in the continuous interval, a good result was achieved.
采用波函数展开法给出了半空间中衬砌洞室群在平面SV波入射下动应力集中问题的一个级数解析解。
An analytical series solution for dynamic stress concentration of lined cavities in a half space under incident plane SV waves was given by using wave function expansion method.
再利用函数展开将模型的非线性传递函数转换为等价的线性中间模型，并通过SVR求取中间模型参数。
Then, by the function expansion, the nonlinear transfer function of this model was converted to intermediate model which is linear one and can be identified using support vector regression (SVR).
研究表明，只要傅里叶级数项数不少于30，改进后的算法比直接用复高斯函数展开具有更高的计算精度。
It is shown that the improved algorithm provides more accurate calculation results than the complex Gaussian function expansion, so long as the number of Fourier series is no less than 30.
采用作者们（2007）提出的函数展开法描述箱式超大型浮体漂浮在不平底部海域中的水弹性响应问题。
A function expansion method as in Liu et al (2007) is used to formulate the mat-type VLFS floating on the wave surface over uneven sea bottom.
本文用球函数展开散射场，结合刚性边界条件导出了刚性目标的重构公式，并利用该公式重构了刚性球和椭球的形状。
By spherical function expansion of the scattered sound field in conjunction with rigid boundary conditions, formulas for reconstructing the shapes of rigid scattering objects are derived.
利用复变函数和波函数展开法，对稳态SH波在含有圆形孔洞的无限弹性压电介质中的散射与动应力集中问题进行研究。
Scattering of steady_state SH_waves and dynamic stress concentration are studied with circular holes in piezoelectric medium under incident antiplane shear wave loading.
首先将点源函数展开为一个算符对平面波函数的运算，经过计算证明，如果将这个算符对参量阵远场解进行运算，得到的结果即为线源参量阵辐射场的解。
The sound fields of the parametric line array can be analysed by it. Firstly, the point-source function is expanded into an operator on a plane wave function.
展开此连接节点以根据指定的文件夹过滤器显示数据库对象的各个节点(表、视图、函数、过程)。
Expand the connection node to display the various nodes for the database objects (tables, views, functions, procedures) depending on the folder filters that were specified.
还可以展开跟踪中的条目（单击名称左边的向右小箭头），查看函数的形式参数的值。
You can also expand an entry in a backtrace — click the little right arrow to the left of the name — to see the values of the function's formal arguments.
我们的目标是找到一个方法，将这个计算展开为一系列函数调用。
Our goal is to create a way of expressing this computation as a series of function calls.
我们的目标是找到一个方法，将这个计算展开为一系列函数调用。
Our goal is to create a way of expressing this computation as a series of function calls.
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