查询词典 associated equation

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion, respectively. The original stochastic partial differential equation is transformed into a series of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为Karhunen-Loeve展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion , respectively. The original stochastic partial differential equation is transformed into aseries of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为 Karhunen-Loeve 展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

Carleman不等式及其在最优控制问题中的应用.Optimal control theory of distributed parameter systems mainly includes: Pontryagin's maximum principle; controllability; Hamilton-Jacobi equation (i.e., dynamic programming equation); time optimal control, etc.In this dissertation, we establish Pontryagin's maximum principle of optimal control problems governed by some nonlinear differential equations (parabolic differential equations, elliptic differential equations and 3-dimensional Navier-Stokes equations), which in particular could have local solut...

在这篇博士论文中，我们建立了非线性微分方程(包括抛物型微分方程，椭圆型微分方程以及3维Navier-Stokes方程)最优控制问题的庞特里雅金最大值原理，特别地，这些方程可能只有局部解或存在多解(我们称这样的系统为非适定系统，相应的最优控制问题为非适定最优控制问题)，以及适定的非线性发展方程最优控制问题的庞特里雅金最大值原理；我们研究了phase-field系统的时间最优控制问题以及Boussinesq系统的局部内可控性。

On the basis of Landau-Lifshitz-Gilbert equation and Fokker-Planck equation,through analyzing the current induced magnetic switching and potential change,a new model to explain the potential barrier reducing is proposed.

在对称系综模型的Landau-Lifshitz-Gilbert和Fokker-Planck方程的基础上，分析了电流驱动磁动力学开关过程和电流引起磁势能的变化，提出一个新的电流感应磁势垒降低模型。

Logistic equation, growth of the population, differential equation, power exponent.

逻辑斯蒂方程，人口增长，微分方程，幂律指数

The voltage and the sensitivity of voltage to system operation parameters are calculated by Newton power flow approach; the various higher order derivatives of voltage and voltage sensitivity to line openbreak parameter can be obtained by using the convergent correction equation of power flow and the equation of calculating sensitivity for the N power system. Finally, the voltage and sensitivity of N-1 power system can he calculated by correcting the voltage and sensitivity of N power system by Taylor series expansion.

通过牛顿潮流计算出N网络的各节点电压及其对系统运行参数的灵敏度；利用已收敛的潮流修正方程式和N网络灵敏度计算方程式分别对线路开断参数多阶求导，从而计算出电压和灵敏度对此线路开断参数的多阶导数值；根据泰勒级数展开式修正N网络的电压和灵敏度值，得到N-1网络的电压和灵敏度值。

The standard cell potential of each condition and the activity coefficients of KI in the mixed solvent were obtained by associating the experimental values using power series expansion method, the extended Debye-Hückel equation and the Pitzer equation.

用电动势法测定了KI在甲醇含量为0%、20%、60%、100%的甲醉－水混合溶剂中的电动势，用幂级数展开方法、扩展的Debye-Hückel方程及Pitzer方程关联不同溶剂组成下电动势的实验值，得到电池的标准电动势Eo和KI在混合溶剂中的活度系数。

In this paper, based on the research of two-wheel differential driving mobile's motive equation and the information provided by inner sensors, a compact and practicably equation was induced.

本论文根据两轮差速驱动机器人的微运动方程，以内传感器提供的信息为基础，推导了一种简洁实用的航位推算公式。

In this thesis, the barotropic primitive equation under the rectangular coordinate system and atmospheric circulation equation under p coordinate system are.

从正压原始方程开始，运用分层理论研究大气环流方程组定解问题的适定性，以及适定的定解问题(包括初值问题、边值问题和混合问题)在解析函数类空间准确解的求解方法。

Firstly, based on the method of pressure-velocity coupling introduced by SIMPLE algorithm and a revised method of solving the unsteady equation of stream function and vorticity on uniform grid, a special algorithm called primitive-variable-time-dependent approach is formed in the present study. In this algorithm the Navier-Stokes equation in primitive variable form is solved by using the time-dependent approach on non-uniform staggered grid system. The second-order accuracy finite difference is used for the first and second partial derivatives of all variables of the convective terms and diffusion terms.

首先，本文在SIMPLE算法系列处理速度与压力耦合问题的思路和均匀网格下改进的关于流函数涡量方程的数值求解方法的基础上，将非定常原始变量Navier-Stokes方程的求解推广至非等距交错网格剖分，形成了具有本文特色的原始变量时间推进方法，其中对流项和扩散项中各变量的各阶导数均采用二阶精度公式，包括温度在内的离散方程组采用ADI迭代方法求解。

For you say, My doctrine is pure, And I am clean in Your eyes.

11：4 你说，我的道理纯净，我在你眼前清洁。

The method takes make water sedimentary in patient of be in hospital of leucocyte grow in quantity 30, according to clean middle make water bacterioscopy result, distinguish the patient to affect group and blame infection group, pathology of puncture of farther travel kidney analyses blame infection form.

方法取尿沉渣中白细胞增多住院患者30例，根据清洁中段尿细菌检查结果，将患者区分为感染组和非感染组，非感染组进一步行肾穿刺病理分析。