查询词典 laplace beltrami operator

However, in fact, many Laplace transforms can not be found in the above two tables, which interferes with the applications of the analytical method of Laplace transform.

但是，实际。L有一些信号在拉普拉斯变换对表上是查不到的，这就在一定程度上影响了拉普拉斯变换分析法的应用。

By using the vector Markov process theory and Laplace transform methods, we obtain some reliability indices such as the Laplace transform of the reliability of the system, the mean time to the first failure of the system, the steady-state availability and the steady-state failure frequency.

利用向量Markov过程理论和Laplace变换的方法，求出了系统可靠度的Laplace变换，系统首次故障前平均时间的表达式，系统的稳态可用度和稳态故障频度等可靠性指标。

Empirical Bayes estimates of steady-state availability in exponential distribution model;2. Using vector Markov process theory and Laplace transform method,we obtain the Laplace transform of the reliability,the mean time to first failure,the steady-state availability and the steady-state failure frequency and so.

利用向量Markov过程理论和Laplace变换的方法，求出了系统可靠度的Laplace变换，系统首次故障前平均时间的表达式，系统的稳态可用度和稳态故障频度等可靠性指标；此外，还通过数值比较考察了系统参数对系统稳态可用度的影响，并对系统进行了效益分析。

Computation of Laplace transforms is an important component of multifrac-tal analysis, and the moment generating function for occupation time of stochastic processes is the Laplace transforms of occupation time.

拉普拉斯变换的计算是重分形分析的一个重要组成部分，随机过程逗留时的矩母函数是逗留时的拉普拉斯变换。

In this paper Laplace transforms is utilized in viscoelastic theory of polymers making the relations between various viscoelastic functions like relaxation modulus , creep compliance and functiqns representing dynamic behavior simple and clear, relaxation spectrum and retardation spectrum are defined in terms of Laplace transform to correlate all viscoelastic functions.

将拉普拉斯变换应用于聚合物粘弹性理论，使粘弹性材料的特性函数如松弛模量、蠕变柔量以及表示动态力学性能的函数之间的关系简单明了，并用拉氏变换定义松弛谱和推迟谱，将各粘弹函数相互联系起来。

As an examplc, in the Chebyshev coordinates, we use the Backlund theorem to give a Backlund transformation and a permutability formula between the generalized sine-Laplace equation and the generalized sinh-Laplace equation.

作为一个例子，利用几何的Backlund定理我们给出了广义的sine-Laplace方程和广义的sinh-Laplace方程之间的Backlund变换及其置换公式。

Based on the research, this dissertation has studied the M/G/1 and GI/GI/1 queueing systems, and drew the following conclusions: Firstly, we present the equation which satisfies the transient distribution of the lengthof L(T,θ1,θ2 for GI/G/1 queueing systems, and proves that the lengthL(t,θ1,θ2 for GI/G/1 queueing systems satisfy two types of equation, and aretheir minimal nonnegative solutions. Furthermore, we give out not only the expression of Laplace transformation, but also the expression of Laplace transformation of busy-idle period, as well as the equation that satisfies the waitingtime of W

第一，首先给出了GI／GI／1排队系统队长L(t，θ_1，θ_2的瞬时分布所满足的方程，证明了GI／GI／1排队系统队长L(t，θ_1，θ_2的概率分布满足二种不同方程，并且是这些方程的最小非负解，进一步给出了其拉氏变换的表达式，还给出了闲忙周期的拉氏变换的表达式，同时对等待时间W(t，θ也作了同样的处理。

If the Laplace transform of an infinite series were equal to the sum of its term-by-term Laplace transform then the Borel sum would be equal to the usual sum.

如果无限系列的 Laplace 转换然后等于其逐条款的 Laplace 转换的总和 Borel 总和会等于通常总和。

In this paper, the analytical solutions of reservoir pressure in Laplace space are developed for planar linear flow and radial flow under the condition of constant pressure at inner and outer boundaries, and the pressure distribution curves in some point in the reservoir are obtained using Stehfest numerical inversion algorithm of Laplace transforms.

本文在内、外边界定压的条件下得到了平面单向流和平面径向流两种渗流形式在拉氏空间的解析解，利用Ste hfest数值反演方法给出了地层各点的压力分布曲线，由这些曲线可以清楚地看到流体的流动由不稳态流向稳态流过渡以及最后达到稳态流的过程。

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值，由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。