元微分算子代数的导子李代数结构。
Lie algebras of derivations of n-differential operator algebra.
它们唯一共同之处就是,它们都被叫作一阶微分算子。
The only thing they have in common is that both are what's called a first order differential operator.
流形上各种算子(如偏微分算子)的研究。
Study of all kinds of operators (such as partial differentia operators) on manifolds.
这个是符号化的向量算子，其中它的分量是偏微分算子。
That was this symbolic vector operator in which the components are the partial derivative operators.
分析并提出了微分算子方程形成的数学依据。
This paper analyses and provides the mathematical basis of the forming of differential operational notation and operational notation equation.
本文介绍解五维波动问题的微分算子级数法。
In this paper, introduced the Differentiator Series Method to solve the five-dimensional wave equation problem.
前者称为微分算子的谱分析，后者称为逆谱问题。
The former is called the spectra analysis of a differential operator and the latter is the inverse spectra problem.
它是用微分算子矩阵方法研究广义动态系统的开端。
The polynomial matrix criteria of controllability and observability related to such systems are presented.
微分算子理论在数学物理、力学等领域有着广泛应用。
The differential operator theory has many applications in the field of mathematical physics, mechanics and so on.
本文主要研究自共轭微分算子边界条件的分类及其标准型。
In this paper, the classifications of boundary conditions of the self-adjoint differential operators and its canonical form are studied.
理论分析与模型试算证明了褶积微分算子法的正确性与有效性。
The theoretical analysis and numerical results show the accuracy and validity of the CD.
考察由一类微分算子阵描述的多变量线性系统的极小能最优控制问题。
The problem of minimum_energy optimal control for multivariable linear systems determined by a class of differential operator matrixes is investigated.
用微分算子级数法得到分部积分公式，使一类积分计算变得十分简单。
By using differentiator series method, the formula of partial integration is obtained.
系统的哈密顿函数是作为矩阵微分算子的狄拉克算子，它不是半有界的。
The Hamiltonian of the system is the Driac operator which as a matrix differential operator is not semibounded from below.
由此得出了判别重特征线性偏微分算子亚椭园性和局部可解性的若干充分条件。
From this, we obtain some sufficient conditions for hypoellipticity and local solvability of those operators.
与微分算子及其逆算子积分算子作比较，讨论了差分算子及其逆算子(和分)。
In comparison with the differential operator and its inverse - integral operator, the difference operator and its inverse (sum operator) are discussed in this paper.
给出了某类六阶非对称微分算子在一些合适拓扑下关于复参数的几个线性同构定理。
This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters.
从稳定电流场基本方程出发，通过定义线性微分算子，推导出与之等价的泛函方程。
According to the fundamental equation of steady current field, the corresponding functional equation is obtained by use of the linear differential operator.
本文对满足条件1-4（或4＇）的一类具重特征的双曲拟微分算子（1）进行初步的讨论。
In this paper we will study the pseudo-differential operators P which satisfy conditions 1-4(or 4'). They constitute a class of hyperbolic operators with multi-characteristics.
基本解方法属于径向基函数类方法，它使用微分算子的基本解作为基于欧氏距离的径向基函数。
The method of fundamental solutions(MFS), one of the radial basis function(RBF) methods, employs the fundamental solutions to the governing differential operator as the Euclidean distance based RBF.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
利用正交多项式序列的正交性及微分算子矩阵，论述了时变非线性分布参数系统参数估计的正交多项式法。
New method of parameter estimation for time varying non linear distributed systems is proposed in term of orthogonality of orthogonal polynomial and differential operation matrix.
为了预测微分算子边缘提取能达到的效果，从频域角度出发，分析了边缘检测中常用微分算子的频谱特性。
For the sake of predicting the detection effect of differential operators, the frequency features of common operators are analyzed from the view point of frequency domain.
第一章：引言和预备知识部分，主要是关于微分算子的积算子自伴的研究情况和对称微分算子的一些基本知识。
Chapter one is divided into two parts: in the first part, we give the simple summarize of adjointness of differential operator product;
利用这个变换矩阵可以方便地将笛卡尔坐标的张量表达式、微分算子及有关公式变换成正交曲线坐标的相应公式。
Using the cosine transform matrix the Cartesian tensors, differential operators and related equations can be readily transformed into corresponding expressions in orthogonal curvilinear coordinates.
它等同于通过交换(可能差一个正负号)由局部坐标给出的数乘和这个局部坐标相对应的微分算子得到的微分模。
The global Fourier transform can also be obtained by switching (up to sign) the multiplication by a coordinate of the affine line and the differential operator with respect to this coordinate.
介绍了微分算子级数法在微分方程求解中的应用，给出了方程的微分算子级数解的根据及解偏微分、常微分方程的实例。
The method of differentiator series and its simple application in partial (or ordinary) differential equation is introduced. Some formulae of differentiator series and examples are given.
不同的微分算子对边缘的敏感程度是不同的，如何选用适当的边缘检测算子得到准确的边缘信息，就成为断口图像处理的关键步骤。
Sensitivity is different for different differential operators, how to choose a suitable edge detection operator to obtain exact information of edge, is the essential step for fracture surface image.
不同的微分算子对边缘的敏感程度是不同的，如何选用适当的边缘检测算子得到准确的边缘信息，就成为断口图像处理的关键步骤。
Sensitivity is different for different differential operators, how to choose a suitable edge detection operator to obtain exact information of edge, is the essential step for fracture surface image.
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