查询词典 embedding operator

Wh.en. A is an even integer, the operator obtained by us include the example given by Boca. When A is an odd integer, we give a new closed form of projection operator in terms of elliptic function.

这些算子在A为偶数时包括了Boca的著名例子，而在A为奇数时给出了新的由椭圆函数表达的有限形式。

4 We show that the Dirac operator in an external field has the same essential spectrum as the free Dirac operator provided the potential vanishes at infinity.

在4.3.4节，我们证明了狄拉克算子在外场中有着对应着无穷远处时零势能极限的自由狄拉克算子的相同的本质谱。

In addition, the discrete Euler operator and homotopy operator of order zero are preliminarily studied.

另外，初步研究了离散化的零阶欧拉算子和同伦算子。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量（地面点到地下相点的水平距离）的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

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。

Check dri ve seating, cables, and I/O module.

请检查驱动器安装、电缆和 I/O 模块。

If there's no traffic jam, I think it's OK.

如果不塞车的话，我想能行。