查询词典 differential operator

The author points out: if lots of the conflicts of philosophical foundation the 20th century's quantum mechanics faced with, well-known to everybody, should be logically attributed to the confusions of the some fundamental concepts in the classical electromagnetic field theory, the series of logic inconsistencies implied in the classical electromagnetic theory and the forms of difficulties the modern computational electromagnetism encounters while solving time-varying electromagnetic field should be also logically attributed to an anomalous fact that series of fundamental mathematical propositions relating with bispinor differential operator, which naturally appears in the formal expression about dynamic electromagnetic field, have not be solved really while the related complete mathematic physical models or well posed boundary value problems have not been built.

著者指出：如果说20世纪的量子力学之所以面对哲学基础众所周知的矛盾，在逻辑上最终不能不归咎于经典电磁场理论体系的一些基本概念并没有真正得到澄清的话，那么，经典电磁场理论体系隐含的众多逻辑不自洽问题与目前计算动态电磁场所面对的困境，则必须逻辑地归咎于与双旋度微分算子相关的一系列基本数学命题并没有解决，而相关的恰当数学物理模型至今没有真正建立起来的缘故。

Multi-scale CODON and Natural scales are presented to solve the problem of noise in differential operator.

同时提出了自然尺度和多尺度CODON特征的概念，以克服基于曲率运算的CODON编码对噪声的敏感性。

An important problem of calculus of variations used in constrained differential systems, i.e., the commutation relation of differential operator and variational oprerator, is investigated by means of Frobenius theorem of integrability.

利用Frobenius可积性定理，研究微分约束系统一个重要的变分法问题：微分运算与变分运算的对易关系。

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

When discrete characteristic of digital images is considered, finite difference approximates differential operator.

考虑数字图像离散化特征，用有限差分近似微分运算，将由PDE描述的反射图方程转化为关于未知高度的代数方程，然后使用迭代算法求解，得到新的SFS算法。

This paper considers the estimate of the upper bound of second eigenvalue for the differential operator with any order.

考虑了任意阶微分算子第二特征值的上界估计，获得了用第一特征值来估计第二特征值的上界的不等式，其估计系数与区间的度量无关。

Utility operator of the calculus and differential operator, and so in some respects with the easy to learn, saving hours and easy to remember and so on.

实用的微积分算子及差分算子等在某些方面具有易教易学、节省课时、容易记忆等特点。

image processing ; edge detection ; differential operator ; SUSAN operator

本文在对几种常用的图像边缘检测算子进行分析介

In this paper,using inverse differential operator and its linear property,we present the particular solution of n-th order general inhomogeneous linear ordinary differential equation with constant coefficient.

利用逆微分算子及其线性性质，给出了求n阶常系数线性一般非齐次项微分方程特解公式。

Two basic theorems are given by researching Hamilton's two steps linear differential equations of bender equations which provide widespread application methods of normal differential operator correspond to ladder operators,then the solutions of general equations are obtained by taking advantage of the two above theorems: The energy eigenvalue equation of one-dimensional oscillator; the common state of ; the radial equation of a bondage state of hydrogen atom; the radial equation isotropic three-dimensional harmonic oscillator; the infinity deep potential well of ball

本文通过研究束缚态本征方程里的哈密顿算符的二阶线性常微分形式，给出两个基本定理并证明，提供构造二阶线性常微分算符相应的阶梯算符的普遍实用的方法，然后利用这两个定理构造量子力学中常见力学量的阶梯算符，并用以计算其能量本征值和对应本征函数：一维谐振子的能量本征方程；共同本征态；氢原子束缚态径向方程；三维各向同性谐振子的径向方程；无限深球势阱。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。