查询词典 convolution equation

This paper deals with the fertilizer rate for high—yield hybrid rice. By using the regression analysis, a hyperbola equation between soil natural nutrientsupplying rate and available nutrient content and a power functional equation between hybrid rice yield and nutrient uptake have been set up.

本文研究了高产杂交水稻的施肥量，通过回归分析建立的土壤养分自然供给量与土壤速效养分含量之间的双曲线方程和水稻产量与养分吸收量之间的幂函数方程，阐明了土壤养分自然供给量随土壤养分含量的变化而变化的规律和水稻产量与养分吸收量之间的关系。

Based on natural gas state equation and dynamic theory of natural gas migration, natural gas velocity of flow rate equation before and after temperature and pressure decreasing is fetched, and with which interface natural gas lengths in different reservoirs are calculated and the changing law of equivalent-length natural gas in migration is analyzed, whence it is discovered that migrating velocity of natural gas along tilting up reservoir is increasing inch by inch, along with temperature and pressure continuously decreasing.

由此发现，在运载层物性不变的情况下，天然气沿上倾地层向上倾方向运移的过程，是随地层温度和压力不断降低、其运移速度逐渐增大的过程，如果有后续气体的加入，会使气体长度增大，致使运移速度增加得更快。

For raising the calculating efficieney of multibody system dynamic equation, especially moving elastic body, a method for solving nonlinear dynamic equation is presented by combining direct integration and Neumann series.

为了提高多体系统动力学方程，特别是运动弹性体的动力学方程的求解效率，提出了求解非线性的或时变的动力学方程的Neumann级数一直接积分解法。算例表明了该方法的正确性和有效性。

Supposed stochastic variations are perturbed in a small range, we can get a nonlinear equation of these stochastic variations by using a Taylor series or a Neumann series expansion of the system matrix. The application of perturbation techniques translates this nonlinear equation into a pair of constant linear recursive equations. Then we have written a paper "Stochastic Finite Element Method for Interconnect Including Variational Analysis" which has been contributed to 11th Asia and South Pacific Design Automation Conference.

本文所取得的主要成果就是提出了一种新的算法，即用随机有限元来分析变化的互连线，将方程按随机变量泰勒展开或者纽曼展开，从而化无限维为有限维；应用matlab进行了算法仿真，并将结果与传统Monte-Carlo与GETA进行了比较；最后写了一篇文章《Stochastic Finite Element Method for Interconnect Including Variational Analysis》，已投第11届亚洲和南太平洋设计自动化会议。

Then, according to differential equation of pile displacement and algebraic equation of neutral plane, the depth ratio of neutral planeλis solved by semi-analytical method. In the calculation example, the influence of pile compressive modulus, pile length and compressive modulus of subsoil beneath pile-bottom on the parameterλis analyzed. Moreover, the range ofλis also calculated.

然后，根据桩体位移微分方程和中性面代数方程，应用半解析的方法求解了中性面深度比λ，由算例分析了桩体压缩模量、桩长和桩端土压缩模量三个影响因素的变化对中性面深度比λ的影响，及刚性桩复合地基中性面深度比λ的取值范围。

Point reactor dynamic equation is a simple equation that not considered reactor space factor, it was used to calculate the dynamic proliferation of reactors because there is no space variable , otherwise it can be used to calculate coupled with the thermal feedback to get the number of neutron density changes situation.

点堆动力学方程是不考虑反应堆空间特性的简单方程，由于没有空间变量所以它通常被用来计算反应堆的动态增殖特性，而且可以用来与热工耦合计算有反馈的中子数密度变化情况。

In this paper, Newton iteration formula for computing normal depth and critical depth was put forward by mathematical transformation of uniform flow equation and critical flow equation of circular section tunnel. Then, the relationship between the corresponding central angle and the introduced parameters was analyzed. An approximate formula for angle was obtained according to optimal uniform approximation principle. Using this approximate formula as initial value of iteration formula, a direct formula for calculating normal depth and critical depth of circular section tunnel was established after its first iterative.

该文通过对圆形断面均匀流方程与临界流方程的数学变换，分别得到其正常水深与临界水深的牛顿迭代公式，同时，通过对正常水深与临界水深对应的中心角与引入参数之间关系的分析及数值计算，利用最优一致逼近原理分别得到了正常水深与临界水深对应中心角的近似计算式，并以此近似计算式为初值，用迭代方程进行一次迭代得到了圆形断面均匀流水深与临界流水深的直接计算公式。

p-Laplacian equation is an important model of differential equation from non- Newtonian fluid theory and nonlinear elasticity.

p-Laplace方程是一类比较重要的微分方程模型，它来自于非牛顿流体问题及非线性弹性问题等。

Our analysis framework relies on the reflected Backward Stochastic Differential equation approach.We characterize the value functions of the noncallable bonds in terms of the reflected Backward Stochastic Differential equation,Then the relationship between the value function of convertible bonds and reflected backward stochastic differential equations with single reflect is built at the same time,and provide the optimal conversion strategy for bondholders.2:We get the value of non-callable convertible bonds by numerical methods.

探讨了可转换债券的最优停时价值与带反射边界倒向随机微分方程解的关系，在市场完备，公司价值只包括股权和可转债这两种权益等各种假定下，给出不可赎回可转换债券的价值函数，证明了不可赎回可转换债券的最优停时问题的解是存在的，同时给出了其最优的转换策略。2：通过数值方法求解不可赎回可转换债券的价值。

As for nonhomogeneous equation, the method of integrating coupling pressure and momentum equation is adopted.

对于非齐次方程采用了压力耦合和动量方程联立求解的方法，算出的结果和解齐次方程在同样的初值和边界条件下，相差不大。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。