查询词典 derived function

To extract the parameters in partial coefficients matrix of potential efficiently in silicon substrate integrated circuits, an approximated closed-form three-dimensional multilayered Green's function is derived with a modified complex fitting the exponential function method in spectral domain.

为了有效地提取硅衬底集成电路中导体单元之间的电位系数矩阵，在谱域中采用了改进的复数拟合指数函数方法，导出了三维有耗多层介质中的近似闭式格林函数。

For homogeneous, piezoelectric and pyroelectric hollow cylinders, by introducing a special function and by using orthogonal expansion technique, the equation about a function with respect to time is derived.

在这篇论文中给出了分别由弹性、压电和热释电三种材料组成的均匀正交各向异性空心圆柱的轴对称平面应变弹性动力学解。

Based on radar backscatter theory and scatter point model,aimed at the same frequency vibration scatter point of radar target,radar echo universal model is derived and the periodicity of amplitude modulation function and phase modulation function is researched at length.

基于雷达后向散射理论和散射点模型，针对雷达目标的同频振动散射点，详细推导并建立了雷达回波通用模型，对其幅度调制函数和相位调制函数的周期性进行了详细的讨论。

In the point reactor model, the probability function(n, t0, t) of a source neutron at time t0 leading to n neutrons at time t is dealt with. The non-linear partial differential equation for the probability generating function G(z; t0, t) is derived. By solving the equation, we have obtained an approximate analytic solution for a slightly prompt supercritical sys tem.

在点堆模型基础上，考虑了在t0时刻系统引入一个源中子，在t时刻产生n个中子的概率(n， t0， t)推导了概率生成函数G(z； t0， t)所满足的偏微分方程，并得到了近似解。

The solution for the non-stationary system is obtained through the stationary disturbed system. The gradients of the system performances to all design variables are derived and they can be used to obtain optimal solution of the systems. More generally, if the performance of the system is a function of the solution of a set of generalized Lyapunov equation, then the gradients of the performance function to the coefficient matrices of the equation can be found in closed form.

文中显示，非静态干扰系统的解可由静态干扰系统求得，而此干扰系统之最佳解，则经由本文所推导的对所有设计变数之系统性能函数梯度获得；一般而言，如果系统之性能函数是一组通式化 Lyapunov 方程式解的函数，则此方程式的系数矩阵之性能函数梯度，可用封闭解表示之。

We first characterize the groups in which all m∈cdq〓 contain at most 4 prime divisors; and then show the following: if any m∈cdq〓 is nth-power-free then the derived length of solvable group G is bounded by a function f depended only on n; also if cdq〓 has k different p-parts then the p-length of solvable group G is bounded by a function g depended only on k.

首先研究了非线性不可约特征标对应的特征标次数的商至多含有4个素因子的有限群结构。其次，我们证明：若每m∈cdq〓是n次方自由的，则有限可解群G的的导长及p-长都被仅依赖于n的函数所界定；若cdq〓中共有k个两两不同的p-部分，则有限可解群G的p-长能被仅依赖于k的函数所界定。

A theorem for the summation of series expressed by function terms derived from function identities is established.

摘要建立了由函数恒等式所导出的函数项级数的求和定理，并给出了具体应用的实例。

In this paper w e derived the optimum form of important function by variation method, with that proposed percepts to improve impor tant function; by utilizing the result of delaminateˉ sample theory, the improving direction of reˉsampling was determine d, and with that the double weight selecting partiˉ cle filtering was proposed.

为解决粒子滤波算法在实际应用中出现的滤波发散、粒子退化问题，文中利用变分法证明了重要性函数取法的最优形式，并由此提出重要性函数的改进方案；利用分层抽样原理，确定了重采样方法的改进方向，并由此提出双权重重采样方法。

The wave function of the phonon is assumed to take thecoherent state,a self-consistent integrodifferential equationsatisfied by the electron wave function is derived.Solving for thisequation,we get the polaron ground-state energy E=-0.1085α2, whichis very close to these of previous strong-coupling theories.In chap.4,we will apply approaches developed in chaps.2 and 3 to discuss theimportant two-dimensional(2D)polaron problem.

把声子部分取成相干态的形式，我们推导出电子波函数所满足的非线性的微分积分方程，求解这个方程，我们得到基态能为E＝-0.1085α2，它与以前的各种强耦合理论的结果非常接近，在第四章中，我们利用在第二，三章中发展的方法讨论很重要的二维极化子问题。

Based on the theory of nonequilibrium statistics and density operator equation, the generalized master characteristic function for the nonextensive reaction-diffusion systems affected by pressure is derived by equation satisfied by calculating the time variation of probability distribution function, where the pressure of the nonextensive systems is given in the framework of Tsallis statistics.

依据非平衡统计及密度算子方程，通过计算概率分布函数的时间变化，得到了非广延反应扩散系统在压力作用时其特征函数满足的广义主方程，其中非广延反应扩散系统的压力在Tsallis统计的框架下给出。与唯象理论中的主方程比较，新得到的方程不仅依赖于非广延参量q而且有更多的非线性项，因此更具有普遍性。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

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This new product will become our best seller.

这个新产品会成为我们最畅销的产品。