查询词典 numerical function

For a normal operator, we express its numerical range interms of the function in its multiplication operator representation.

针对规范算子的部份，我们将数值域以乘积算子的表现函数来表示。

For a normal operator, we express its numerical range in terms of the function in its multiplication operator representation.

针对规范算子的部份，我们将数值域以乘积算子的表现函数来表示。

Numerical simulation ; autocorrelation function ; root mean square ; Gauss distribution

数值模拟；自相关函数；均方根； Gauss分布

Base on the fact that a hard-edge aperture function can be expanded into a finite sum of complex Gaussian functions, the approximate analytical expressions for the propagation characters of Hermite-Guassian beams passing through double rectangular apertured are derived. The approximate analysis uses Collins formula. At last, Matlab illustrates some numerical examples.

基于硬边孔函数能拓展成一组有限复高斯函数的和，研究厄米－高斯光束通过双矩孔的传输特性，用Collins公式分析，用Matlab进行一些数值模拟。

This paper adopts function generation method to decompose tooth-layer permeance with the numerical calculation to constant component and harmonic component.

这为采用解析方法计算直线步进电动机的性能以及直线步进电动机的优化设计提供了依据。

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

In chapterⅣ, three problems in the velocity space are simulated numerically under the basic presumption that the distribution function is homogeneous in configuration space. The results of numerical simulations demonstrate that the conservation laws of momentum and energy are obeyed accurately.

第四章在"空间均匀分布"的前提下对三个速度空间中的问题作了数值模拟，数值模拟结果表明这种方法能够精确地保证动量及能量守恒。

Methods By using the theories of conservation of mass, of energy, Darcy's law and hydrokinetics, the mechanical model of oil layer fluid under the function of low frequency vibrated wave was studied. With the combination of indoor experiment and the numerical simulation, the effect of downhole low frequency vibration on oil viscosity, interfacial tension, capillary pressure, producing water cut and the rising velocity of it was studied quantitatively.

应用质量守恒定律、能量守恒定律、达西定律、流体动力学等基本原理研究了低频振动波作用下油层流体的数学模型，将室内实验和数值模拟技术相结合定量地研究了低频振动对原油私度、界面张力、毛管压力、产水率及产水率上升速度的影响。

The method of reliability numerical simulation has been presented based on the system invalidation,whose logic hypotaxis is fault tree. By replacing the structure function of the fault tree with the cuts, the course of calculation has been simplified and the computer arithmetic has been optimized.

摘 要：提出了基于系统失效性，以故障树为仿真逻辑关系的可靠性数字仿真方法，并且利用割集对故障树中的结构函数进行了替代，大大简化了仿真计算步骤，优化了计算机算法。

Implicit performance function ; response surface method ; reliability analysis ; numerical method

隐式功能函数；响应面法；可靠度分析；数值方法

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。