1) generalized Laplace transformation
广义Laplace变换
1.
In order to study the solution of the time-invariant linear system dynamic equation and some characteristics of the transfer matrix,this paper applied the conception of Laplace transformation into matrix function,built the generalized Laplace transformation conception of matrix function and discussed its relative characteristics.
为了研究线性定常系统动态方程的解以及传递矩阵的有关性质,将函数的Laplace变换概念推广到矩阵函数上,建立了矩阵函数的广义Laplace变换概念,讨论了矩阵函数广义Laplace变换的相关性质;运用矩阵函数的广义Laplace变换给出线性定常系统动态方程的解及传递矩阵的Laplace变换形式,并给出矩阵指数函数的广义Laplace变换计算。
2) generalized transform
广义变换
3) Laplace transformation
Laplace变换
1.
Laplace transformation and simulation for Stirling cryocooler s vibration maths model;
斯特林制冷机振动数学模型的Laplace变换及仿真
2.
Solving the vibration problem of elastic rod with concentrated mass on one end by Laplace transformation;
再论用Laplace变换法求解端点系有集中质量的弹性杆的振动问题
3.
Solving the vibration problem of an elastic rod with concentrated mass on one end by Laplace transformation;
用Laplace变换法求解端点系有集中质量的弹性杆的振动问题
4) Laplace transform
Laplace变换
1.
Solution of one type of infinite integral by Laplace transform;
用Laplace变换求一类无穷限积分
2.
Solution of one-dimensional consolidation for double-layered ground by Laplace transform;
Laplace变换解双层地基固结问题
3.
Dynamic response of structures calculated by combining finite element with Laplace transform;
Laplace变换—有限元法计算结构动响应
5) Laplace inverse transformation
Laplace逆变换
1.
Solution of detention-including Laplace inverse transformation;
含有延迟的Laplace逆变换的求解
2.
By using Laplace inverse transformation method, a two-dimensional time-dependent partial differ-ential equation for crystal growth is analyzed and the solution is obtained.
对定常速度下二维非稳态晶体生长的数学模型进行了分析,证明了解的唯一性,并运用Laplace逆变换法对该定解问题进行求解,最后给出了一个具体的例子。
3.
Based on the generation theorem in terms of the Laplace transformation and the properties of exponentially bounded integrated C-semigroups,the Laplace inverse transformation for exponentially bounded integrated C-semigroups is deduced.
以积分C半群生成定理的Laplace刻划为基础,利用积分半群的性质,推导出指数有界积分半群的一种表达形式——Laplace逆变换形式。
6) Laplace-stieltjes transformation
Laplace-stieltjes变换
1.
First, the author turns equation into standard form* use Fourier method tomake the solution of question expand by eigenfunction- use Laplace-stieltjes transformation and theme.
本研究首先将方程化为标准形,利用Fourier方法将问题的解按特征函数展开,并利用Laplace-stieltjes变换和等人应用的方法。
2.
In this paper, the authors investigate the growth of entire functions of infinite order represented by Laplace-Stieltjes transformation; the authors obtain two necessary and sufficient conditions and extend some results of Dirichlet series in the whole plane.
该文系统地研究了在全平面上收敛的无限级Laplace-Stieltjes变换的增长性,得到了两个充要条件,推广了全平面上Dirichlet级数的有关结果。
补充资料:Laplace变换
Laplace变换
Laplace transform
Ij户沈变换[u内倪加份七丽;几叨月aCa即eO6Pa30-aan“e] 广义地它是形如 F(,)一丁f(:)。一d:(1) L的LaplaCe积分(LaPhce inte脚1),这里积分是在复z平面的某一围道L上进行的,它在定义在L上的函数f(:)和复变数p=叮+i;的解析函数F(p)之间建立了一个对应关系.很多形如(l)式的积分由P,Uplace作了考察(见汇11). 狭义地,Up玩。变换理解为单侧助p廊e变换(one一sid刻UPlaceu艺nsfonn) F‘p,一L If,‘,,一丁f(亡)。一d。,‘2, 0这样称呼是为了区别于双侧LaPlace变换(t场。一sjded肠p俪etra璐form) F(,)一L of](,)一丁f(:)。一d:·(,)LaP玩。变换是一类特殊的积分变换(泊魄刘trans-form);(2)式或(3)式的变换与F以州er变换(Fo~tl习J侣允加)有紧密联系.双侧Lap玩e变换(3)可以看成函数f(Oe一“的凡~变换,而单侧Lap阮e变换(2)可以看成当O
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