查询词典 linear operator

Eliminating the restriction of the characteristic of field ,the forms of invertible linear operator preserving inverses of matrices over full matrix space with at least four elements are described.

去掉了域的特征限制，刻画了至少包含4个元素的任意域 F上的全矩阵空间Mn的保逆的可逆线性算子形式。利用保幂等的结论证明了f为Mn上保持逆矩阵的可逆线性算子当且仅当存在P∈GLn，使得f=εPAP-1，A∈Mn，ε=±1∈F；或者存在P∈GLn，使得f=εPATP-1，A∈Mn，ε=±1∈F

The Laplacian on Riemannian manifolds is an essential linear operator, and it is also the main object to be studied of Geometric A...

Riemann流形上的Laplace算子是一个重要的线性算子，也是流形上几何分析研究的主要对象之一。

By using linear operator semigroup theory, it is shown that the solution obtained by the model is well-posedness.

对模型进行了分析，运用线性算子半群理论研究了模型的解的适定性。

Meanwhile, we obtain some properties of the linear operator from the transformed second order ordinary differential equation.

同时，得到了变换后二阶常微分方程线性算子的一些性质。

The largest radius of the region is given by the condition of critical D-stability and character of linear operator.

利用系统临界D-稳定时的特性和线性算子范数的特性，得到了这个范围半径的解析表达式。

First the left side of the equation is turned into a linear operator.

首先通过积分变换，将方程的左端项简化成线性算子。

In this chapter, we will study the existence of sign-changing solutions for asymptotically linear operator equations x=Ax.

最近，受一些经济问题的启发，寻求各种问题的变号解的存在性成为研究的热点。

The Laplacian on Riemannian manifolds is an essential linear operator, and it is also the main object to be studied of Geometric Analysis on manifolds.

Riemann流形上的Laplace算子是一个重要的线性算子，也是流形上几何分析研究的主要对象之一。

However, the study, as a part of linear operator theory, of operators induced by composition with a fixed function has a relatively short history.

但是一个固定的函数与某个函数空间上的函数复合作为该空间上的线性算子进行研究则是不久的事情，这可追溯到二十世纪60年代末E。

What most documents on asymptotically linear operator equations discussed are the existence of positive solutions.

到目前为止，作者只见到过对偏微分方程的变号解的讨论（见[15]，[16]），有关变号解的抽象结果还很少见。

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。