查询词典 linear operator

In this paper we use pointwise modulus of smoothness to study approximation direct theorem and equivalent theorem for some linear operators and quasi-interpolant operators; Using pointwise modulus we discuss the strong converse inequality on K-functional; and using a modified weighted K-functional and weighted modulus of smoothness we study approximation with Jacobi weight on operator with non-zero first order moments.

本文利用点态光滑模ω_~(2r)来研究某些线性算子及逆中插式逼近正定理和等价定理；利用点态光滑模讨论其关于K-泛函的强逆不等式；同时利用一种改变的带权K-泛函和带权光滑模研究一阶矩不为零的算子的点态带Jacobi权逼近。

The fundamental problem of the geometry of matrices can be interpreted as a theorem on graph automorphism of the graph on a certain kind of matrices, and it also has practical application in the linear preserver problems which are the research area in matrix and operator theory.

矩阵几何的基本定理也可以叙述为图论中的图的自同构定理；并且它在矩阵和算子的保持问题中有很好的应用。

A novel neural network model, named delayed standard neural network model, is proposed, which is the interconnection of a linear dynamic system and a bounded static delayed nonlinear operator.

摘要提出一种新的神经网络模型---时滞标准神经网络模型，它由线性动力学系统和有界静态时滞非线性算子连接而成。

Besides,we investigate the compatibility of the pair,where A is a bounded linear self-adjoint operator on a complex Hilbert space H and S is a closed subspace of H.

此外，对由一个自伴算子A和一个闭子空间S组成的元素对的兼容性进行了研究。

Second, according to model characteristic, such as non-linear, non-convex, multiple-peaked and so on, the paper discusses limitation of traditional solving algorithm, such as branch and bound method, GBD method and OA method, puts forward penalty function-makeup integer algorithm and genetic algorithm, analyses procedures of genetic algorithm, such as selection, crossover and mutation, brings forward modifications for specific realized problems of genetic algorithm, such as selection of initial points, operator design, adoptive value adjustment, constraint treatment and so on, and works out correlated solving program.

其次针对该模型非线性、非凸、多峰等特点，讨论了分支定界法、GBD法和OA法等传统求解算法的局限性，提出了罚函数一凑整算法和遗传算法的求解思路，对遗传算法的选择、交叉、变异等过程进行分析，对遗传算法初始点选择、算子设计、适应值调整和约束处理等具体实现问题提出了改进措施，并编制了相关的求解程序。

Beginning with some cases, the article gives basic definitions of inverse problems and ill-posed problems. Then it discusses the Moore-Penrose generalized solution and the Moore-Penrose generalized inverse, and makes a conclusion that linear compact operator equations are ill-posed, that is, the Moore-Penrose generalized solution is unstable.

本文从一些实例出发，介绍了反问题和不适定问题的基本概念，并讨论了方程的Moore-Penrose广义解和Moore-Penrose广义逆，得出了线性紧算子方程的不适定性，即Moore-Penrose广义解的不稳定性的结论。

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。

For a new kind of linear chaotic operator, one class of nonwande-ring operators (invertible and bounded linear nonwandering operators) are studied, and their invariance under small perturbation in finite dimensional separable Banach Space is proved.

对于一种新型的线性混沌算子―非游荡算子，研究Banach空间上的一类特殊非游荡算子―可逆线性有界非游荡算子，证明它的小扰动下的不变性。

According to the number of unknown variables in ideal element fitting, variable substitution is adopted to convert the overdetermined nonlinear equations into overdetermined linear equations. Cumulative sum operator is used to solve the overdetermined linear equations.

根据理想要素拟合过程中待求未知量的个数，运用变量代换，将非线性超定方程组转化为线性超定方程组；对变换后的超定线性方程组施加累积算子，进行未知数求解；最后用仿真实例进行了分析，并与CIRP方法进行比较。

Due to the linear subjectional function and the linear fuzzy enhancement operator, the algorithm not only speed the process, but also voids the losses of particular information.

由于采用的隶属函数和模糊增强算子均为线性的，不仅能够提高增强的速度，而且也有效避免体数据场细节信息的丢失。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。