1) rings of differential operators
微分算子环
1.
In order to solve the problem that in some conditions,Buchberger algorithm and Insa-Pauer algorithm to calculate the Grbner bases in the rings of differential operators can not further simplify Grbner bases,K.
为解决计算微分算子环中Grbner基的Buchberger算法与Insa-Pauer算法在某些情况下不能将Grbner基进一步简化的问题,K。
2) integro-differential recursion operator
积分-微分循环算子
3) differential operators
微分算子
1.
Based on the exact and explicit representations of differential operators in orthonormal bases of compactly supported wavelets,this paper presents an identification method for distributed parameter systems(DPS).
基于微分算子在紧支撑正交小波基下的精确显式表示,给出了一种分布参数系统辨识方法。
2.
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。
4) differential operator
微分算子
1.
?Conclusion It is feasible to use several differential operators in digital mammographs′ edge-detection.
结论微分算子边缘检测方法对于数字乳腺图像是可行的。
2.
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.
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。
3.
The paper concerned with the estimates of eigenvalue s upper bound for some differential operator.
考虑一类微分算子谱的带权上界估计,利用分部积分、Rayleigh定理和Schwartz不等式等方法,获得了用前n个谱来估计第n+1个谱的上界的不等式,其估计系数与区间的几何度量无关,其结果包含了[2]和[3]的结论。
5) pseudo-differential operator
拟微分算子
1.
And the continuity of some relevent operators is proved also by using a theory of pseudo-differential operator.
利用广义函数理论证明了一类广义Ｒａｄｏｎ变换及其对偶变换在分布空间上的连续性；并且利用拟微分算子理论证明了一些有关算子的连续性。
2.
On the basis of the study of pre-wavelet and pseudo-differential operator,the wavelet transform by η~j_e,k operator was studied,and some new useful results have been obtained.
在研究拟微分算子及预小波基础上,探讨了jeη,k算子作用下的小波变换,得到了一些新的有用的结果。
3.
First, according to the theory of pseudo-differential operator,we study the properties of integral operator and the existence of weak solution, secondly, by use of BEM, we discret the integral equation and obtain the numerical solution.
首先，据拟微分算子的理论，讨论了积分算子的性质及问题弱解的存在唯一性；接着采用边界元方法，离散积分方程得到数值解；最后，给出了解的全局误差估计及内部超收敛估计。
6) partial differential operator
偏微分算子
1.
The complete Euler equation set is obtained through the introduction of the partial differential operator.
研究变分法中依赖于任意个自变量、任意个多元函数和任意阶多元函数偏导数的完全泛函的变分问题;提出并证明了完全泛函的变分问题的定理,采用偏微分算子,给出了完全欧拉方程组。
2.
Theorem 2 Let P(D)be the constant coefficient partial differential operator on the rapidly decreasing function space (?)(R~n).
研究了局部凸空间上对偶算子和偏微分算子的谱结构。
补充资料：微分算子的主部
微分算子的主部
principal part of a differential operator
微分算子的主部〔帅心阅，牲ofa司而比n五aiOI阵rat份;r刀。皿a皿，acT、及。中中ePe””皿a月‘HO功oneP帅Pa] 由给定算子丢弃所有不含最高阶导数的项后所构成的齐次微分算子.微分算子 毛二艺a:D‘ {a}簇巾的主部是艺.:;一，“二D“一个微分算子的主部有时由引人对不同自变量的微分给予的补充的权而定义.例如，微分算子D、一D;+:D。的主部有时定义为Dl一D:(如果D，被给予权2而DZ权1). A.A.八e3皿撰[补注)主部也称为主象征(Pnncipals”11bol)(见算子的象征(s，nbo{of an operator). 主象征的零集称为L的特征(ch娜cterjstjc). 此外，R”中一个常系数微分算子L称为实主型(real pnnci四1 tyl姆)的，如果主象征l是实的又如果对之‘R”\0，I’(勃笋0(亦见主型偏微分算子(prin-eiP沮type，Pa功司d江化rential operotor of). 对C“流形X中具有C泊系数的m阶微分算子L，其主象征可看成X的余切丛上一个不变地定义的函数.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条