An analytic representation for the third-harmonic generation along the well is derived by the density matrix operator theory of the quantum mechanics.
利用量子力学中的密度矩阵算符理论导出了该系统中三次谐波产生的解析表达式。
Spectral theory is an important branch of functional analysis in modern times the operator spectra projected from matrix eigenvalue.
谱论是泛函分析的一个近代重要分支，由矩阵特征值构思出算子的谱。
The Hamiltonian of the system is the Driac operator which as a matrix differential operator is not semibounded from below.
系统的哈密顿函数是作为矩阵微分算子的狄拉克算子，它不是半有界的。
Through the multiresolution decomposition and compression of operator matrix and seismic wave field matrix, we proposed a new method of seismic modeling in wavelet domain.
通过对算子矩阵和地震波场矩阵进行多分辨分解和压缩，得到了小波域中地震波场正演模拟算法。
Using the current commonly used operator priority method, introduces a common expression of the calculation process, and one of the key issues, operator precedence matrix design and implementation.
使用目前常用的算符优先法，对通用表达式计算过程进行了介绍，并对其中的关键问题——运算符优先矩阵的设计和实现进行了研究。
Using the theoretics and properties of squeezed coherent state, the matrix elements of any power of coordinate operator for harmonic oscillator is deduced; and the result is discussed.
利用压缩相干态的理论和有关性质，导出了压缩相干态下谐振子任意次幂的坐标算符矩阵元的表达式，并对所求的结果进行了讨论。
A new gradient operator was presented for studying gradient matrix.
在研究梯度矩阵的同时，本文还给出了一种新的梯度算子。
Abstract: Matrix keyboard key operation management efficiency and effective method, which can improve the system accuracy, to save resources, reduce the operator itself quality requirements.
摘要：矩阵式键盘提高效率进行按键操作管理有效方法，它可以提高系统准确性，有利于资源的节约，降低对操作者本身素质的要求。
A result of fundamental importance has been proved with regard to the matrix representation of symmetrizing operator on tensor space.
本文证明了关于张量空间的对称化算子的矩阵表示的一个重要结论。
Using the customizable matrix platform, systems can be configured to meet performance and equipment needs while enhancing operator comfort.
利用定制矩阵平台，系统能增加配置以满足性能和设备的需求，同时提高了操作员的舒适度。
Based on the above results, the free-floating space manipulator system was modeled by the RBF neural network technique, the GL matrix and its product operator.
基于上述结果，自由浮动空间机械臂系统模型的RBF神经网络技术，GL矩阵和其产品的运营商。
It utilizes the prior variance -mean relationship to construct the weight matrix and the two -dimensional (2d) spatial information as the penalty or regularization operator.
该方法可利用均值-方差间关系等先验知识来构造加权矩阵，并利用二维局部空间信息来构造惩罚项或正则算子。
Then the graph and the symbol expressions of the recoupling matrix used in action of volume operator on rescaled basis are obtained with the graph calculation method.
用重耦理论的图式计算法，推出了体积算符对基底作用的重耦矩阵的表式，并利用体积算符的本征值得到空间量子化的结果。
The matrix expression of the pseudo-inverse operator concerning the pre-frame operator was provided, and finally the theory of pseudo-inverse operators to some non-frame sequences was developed.
然后把伪逆算子应用在框架理论中，同时给出了预框架算子的伪逆算子的矩阵表示。
In this paper, we get the self-adjointness of the product operators generated by different two differential expressions by operator theory and matrix calculation.
此前对微分算子的积算子自伴的研究主要集中于由同一个对称微分算式生成的两个或多个微分算子积的自伴问题上，取得了一些成果。
Then T is an invertible linear operator preserving rank - partial ordering on Sn(F) if and only if there exists an invertible matrix (F) such that where .
刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。
Then, large sequence and sequential patterns are all out pass the vector of matrix multiplication operator corresponding to the elements and simple addition operations have been.
接下来的大序列、序列模式等都是通过矩阵的列向量对应元素的相乘运算和简单的加法运算而得到。
We present some usual numerical methods including Finite-Difference method, Split-Operator method and Time-independent-Scattering-Matrix etc.
我们介绍了一些常用的数值模拟方法，包括含时有限差分法、劈裂算符法、不含时散射矩阵法等。
We present some usual numerical methods including Finite-Difference method, Split-Operator method and Time-independent-Scattering-Matrix etc.
我们介绍了一些常用的数值模拟方法，包括含时有限差分法、劈裂算符法、不含时散射矩阵法等。
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