查询词典 convolution equation

By the alternating direction implicit and current density recursive convolution technologies for the first time, a new current density recursive convolution alternating direction implicit finite-difference time-domain (CDRC-ADI-FDTD) formulation for collision unmagnetized plasma is presented.

首次把交替方向隐式技术与等离子体的电流密度递归卷积技术结合，给出了碰撞非磁化等离子体的CDRC-ADI-FDTD方法。

A method of processing a series of input audio signals representing a series of virtual audio sound sources placed at predetermined positions around a listener to produce a reduced set of audio output signals for playback over speaker devices placed around a listener, the method comprising the steps of: for each of the input audio signals and for each of the audio output signals: convolving the input audio signals with an initial head portion of a corresponding impulse response mapping substantially the initial sound and early reflections for an impulse response of a corresponding virtual audio source to a corresponding speaker device so as to form a series of initial responses; for each of the input audio signals and for each of the audio output signals: forming a combined mix from the audio input signals; and forming a combined convolution tail from the tails of the corresponding impulse responses; convolving the combined mix with the combined convolution tail to form a combined tail response;for each of the audio output signals: combining a corresponding series of initial responses and a corresponding combined tail response to form the audio output signal.

提供了一种处理一系列输入音频信号的方法，所述输入音频信号代表放置在收听者周围预定位置的一系列虚拟的音频声源，该方法可以产生一组精简的用于在收听者周围的扬声器装置上进行播放的音频输出信号，该方法包括以下步骤：对每个输入音频信号和每个输出音频信号进行以下步骤：用相应的脉冲响应最初的头部对输入音频信号进行卷积以形成一系列初始响应，其中的脉冲响应充分映射了相应的虚拟声源到相应的扬声器装置的脉冲响应的初始声音和早期反射；对每个输入音频信号和每个输出音频信号进行以下步骤：形成音频输入信号的混音；并根据对应脉冲响应的多个尾部形成复合的卷积尾；用复合的卷积尾对音频信号的混音进行卷积以形成复合尾部响应；对每个音频输入信号进行以下步骤：把相应系列的初始响应与相应的复合尾部响应进行复合以形成音频输出信号。

There are two difficult points in convolution integral: how to determine the limit of the integral, arid the integrands on the convolution integral.

确定卷积积分的积分限和在相应区间上的被积函数是计算卷积积分的两个难点。

DFT using the convolution nature for two complex sequence of linear convolution.

利用DFT的卷积性质求两个复序列的线性卷积。

In the first part of the second chapter,we obtain a equivalent condition of the convolution closure of the extended long-tailed distributions,generalize and improve the corresponding results of Pakes(2004),and then receive a kind of equivalent conditions of convolution-equivalence distributions.In the last part of the second chapter,we prove these results.

本文第二章的前一部分得到了有关广义长尾分布的卷积封闭性的等价条件，推广和改进了Pakes(2004)的一个相应结果，进而得到一类卷积等价分布的等价条件；第二章的后一部分证明了这些结果。

The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分运算，将一阶非线性微分方程所描述的反射图方程转化为关于未知表面高度的代数方程，再由反射图方程和图像梯度信息构造目标方程，进而用Newton迭代算法求出该方程的数值解，得到表面三维形状。

We develop and apply the Hirota bilinear-θfunction method,Jacobi elliptic function expansion method,linear superposition method and F-expansion method respectively to solve many 2+1 dimensional nonlinear wave models including 2+1 dimensional 2DsG equation,the coupled ZK equation,2+1 dimensional KdV equation,2+1 dimensional long wave short wave resonance interaction equation and 2+1 dimensional dispersive long wave equation,abundant Jacobi elliptic function doubly periodic solutions are derived.These solutions show various periodic wave shapes and special periodic characters.

发展和应用Hirota双线性-θ函数方法，雅克比椭圆函数展开法，线性叠加法，F-函数展开法等分别求解2+1维2DsG方程，耦合ZK方程，2+1维KdV方程，2+1维长波短波共振相互作用方程，2+1维色散长波方程，获得丰富的雅克比椭圆函数双周期波解，描述了一些周期波形态及周期特性。

In the solution of the problems in algebraic equation, differential equation and integral equation, we usually resort the sotution of equation to the fixed point of mapping in metric space. The contraction mapping principle can be used to solve many problems of the existence and uniqueness of equation solution.

在代数方程、微分方程和积分方程的求解问题中，通常把所求的解归结为度量空间中映射的不动点，然后应用压缩映象原理来统一处理许多方程解的存在性和唯一性问题。

On the basis of gas migration equation -Darcy Law,coal seam gas content equation -parabola equation ,ideal gas state equation and the continuity equation s of the gas flow,a dynamic model of gas unilateral flow in the coal seam is set .

根据基本假设，对煤层瓦斯流动规律进行了研究，运用瓦斯运动方程—达西定律、煤层瓦斯含量方程—抛物线方程、理想气体状态方程以及气体流动的连续性方程，建立了煤层单向瓦斯流动的动力学模型，并根据边界条件和初始条件，对动力学模型进行了求解，推导出煤壁单位面积的瓦斯涌出量的计算公式，分析了瓦斯涌出量的影响因素，利用测得的数据，进行了实例计算，并用vc编制了计算机程序。

In order to obtain more general solution of second order linear differential equation with constant coefficients, which is important in theory and practice, on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant, the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.

为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解，这里使用常数变易法，在先求得二阶常系数线性齐次微分方程一个特解的情况下，将二阶常系数线性非齐次微分方程转化为可降阶的微分方程，从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式，并且将通解公式进行了推广，实例证明该方法是可行的。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。