查询词典 operator algebra

Let P be a Markov operator in, and Q any ergodic Markov operator possessing finite invariant measure. In this note a simple and direct proof of the equivalence of the mixing property for Q and the ergodicity for Cardesian product PQ is given.

设P是L上的Markov算子，Q是任一具有有限不变测度并且遍历的Markov算子，在这篇注记中我们给出了P的混和性和Cartesian积P×Q的遍历性相互等价这一结果的直接而简单的证明。

Indeed,if X is〓or homogeneous group,then replacing fractional integral operator in thedefini-tion of〓by equal operator implies some of results inand.

实际上，当X是〓或齐次群时，用恒等算子代替〓中的分数次积分算子可得到和中的一个结论。

For a normal operator, we express its numerical range interms of the function in its multiplication operator representation.

针对规范算子的部份，我们将数值域以乘积算子的表现函数来表示。

For a normal operator, we express its numerical range in terms of the function in its multiplication operator representation.

针对规范算子的部份，我们将数值域以乘积算子的表现函数来表示。

In very simple terms, a functor is a class that contains on overloaded function call operator operator.

简单来说，一函是一个类，在函数调用运算符重载运算符包含。

This paper is the continuance of that of Lewalle (2001). Lewalle has made use of Gaussian wavelet to obtain the N-S equations with flexion as fundamental quantity in the infinite domain. In that work, Lapalace operator has been degraded to one-order operator. Moreover the resulted N-S equations take the form of diffusion equations with local bilinear mutual interaction kernel.

本文是Lewalle工作的继续，Lewalle利用高斯子波，得到了以弯曲度为基本量的无穷域中N-S方程，此时Lapalace算子降低为一阶导数，并且N-S方程变形为具有局部化双线性相互作用的扩散方程的形式。

Two amelioration operators were developed, such as the triangular intuitionistic fuzzy numbers weighted arithmetic average operator, and the f interval-valued intuitionistic fuzzy numbers weighted geometric average operator.

定义了三角和区间直觉模糊集的一些运算法则，给出了直觉模糊集两个改进算子，即三角模糊数加权算术平均算子和区间直觉模糊数加权几何平均算子。

Infinite dimensional Hamiltonian operator;semigroups of linear operator;spectrum;residual spectrum;continuous spectrum

中文主题词：无穷维Hamilton算子；线性算子半群；谱；剩余谱；连续谱

Maxwell's equations group in fact was already found in the basic experimental laws of electromagnetic phenomena, as well as a single magnetic pole does not exist on the facts and the integrated displacement current assumptions, using an international system of units, these equations can be written as: DivDW =ρ or DW =ρ(1) kiDivBq = 0 or Bq = 0 (2) kiCurlEBq =- Zt or × EqkZ =- BqZt (3) ZCurlHDWDW = jE Zt, or × HW = jE Zkt (4) Z-type in the Curl, and Div were vector operator curl and divergence, Micro-k points for the Hamiltonian operator, in the rectangular coordinate system,= iZZEkx jEy kqz, iE, jE, kq along Zx, y, z-axis unit vector, a vector for any AW are × AW = CurlAW, kAW = DivAW; DW for the electric displacement, Bq for the magnetic induction intensity, Eq, and HW, respectively i field and electric field strength, jY for the conduction current density,ρ the charge density for free.

麦克斯韦方程组实际上是当时已发现的电磁现象的基本实验定律以及单个磁极不存在的事实和位移电流假设的综合，采用国际单位制，这些方程式可写成：DivDW＝ρ或DW＝ρ（1）kiDivBq＝0或Bq＝0（2）kiCurlEBq＝－Zt或×EqkZ＝－BqZt（3）ZCurlHDWDW＝jE＋Zt或×HW＝jE＋Zkt（4）Z式中Curl和Div分别为矢量算符旋度和散度，为哈密顿微k分算符，在直角坐标系中，＝iZZEkx＋jEy＋kqz，iE，jE，kq是沿Zx、y、z轴的单位矢量，对任一矢量AW有×AW＝CurlAW，kAW＝DivAW；DW为电位移，Bq为磁感应强度，Eq和HW分别为电i场和磁场强度，jY为传导电流密度，ρ为自由电荷密度。

In this paper, based on an optimum difference operator for spatial differential given by Holberg, an optimum difference method of modeling crosswell elastic wavefield is put forward, which adopts the staggered-grid technique and calculates the wavefield at different grid points. When the half length of optimum difference operator is taken as four to six points, the required number of grid points per wavelength equals to three, crosshole elastic wavefield numerical modeling can attain satisfied accuracy.

本文以Holberg提出的一种空间微分的最佳差分算子为基础，采用交错网格技术，提出了一种模拟井间弹性波场的最佳差分法，该方法能在大空间网格点上得到精确的波场值，当最佳差分算子的半长度取4～6个点，每个波长只采3个样点时，井间弹性波场的模拟就可以得到满意的精度，其计算速度比常规有限差分法至少快一个数量级。

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。