查询词典 abelian equation

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。

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 line pencil equation for geometric elements in En is studied. From the direction number in the equation, the relative position between the elements and the projective space anp that between any two elements are analyzed.

本文系统地研究了E~n中几何元素的线束方程，由方程中的方向数分析几何元素对投影空间的相对位置和几何元素间的相对位置，规律性强。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。