By virtue of the linear quantum transformation theory, a general formula is obtained, which calculate the quantum fluctuations for bipartite entangled state of continuous variables in Fock space.
利用线性量子变换理论，导出在Fock空间中连续变量两体纠缠态的量子涨落计算的一般公式，并讨论此纠缠态的压缩特性。
The purpose of this chapter is to present a very straight forward approach and indicate the utility, advantages and power of using the combinations of the linear transformation approach and the trigonometric solution for the cubic equation to obtain a general closed-form analytic solution for bulk waves in orthotropic anisotropic materials.
目的是综合应用线性变换与一元三次方程的求解技术得到正交各向异性材料中平面体波的严格解析解。
By using the general linear quantum transformation theory, the forced quantum oscillator with time dependent external force is solved by algebraic operation of operators in phase space, and the evolution operator, the matrix elements of the evolution operator and the expression of wave are given.
运用广义线性量子变换理论，在位相空间中通过算子的代数运算求解外力含时的受迫谐振子，给出了演化算子、演化算子矩阵元和波函数的表示式。
This paper offers general combination forecasting model which function feature can be controlled throngh model transformation, and presents the method which can improve linear combination forecasting model so that linear combination forecasting model fits in with the need of the forecasting object.
从变换的角度，提出了性能指标特征可控的、更具有一般性的组合预测模型；同时提出对线性组合预测模型进行适应性改造的方法。
This paper presents directly the general solution to sets of linear equations by properly bordering on augmented matrix and elementary transformation, and produeces some theoretical proving.
通过对增广矩阵适当“加边”，利用矩阵的初等行变换，直接求出线性方程组的通解形式，并在理论上给予了论证。
Unitary transformation and general linear transformation by the optical method (ⅳ) the pattern recognition and projection operator
用光学方法实现么正变换及一般线性变换（Ⅳ）图形识别及投影算子
The decomposition of linear time-invariant systems is discussed from the view point of the general complement space. It is pointed that by using the natural base as the base of the complement space, the inverse matrix of nonsingular transformation matrix can be obtained most easily.
本文以一般补空间的概念讨论定常线性系统的分解，指出取自然基作为补空间的基，可以使系统分解的变换矩阵求逆最简单。
In this paper we study the applications of linear transformation and quadratic form in elementary mathematics, especially in turning general quadratic curve equation into standard form by rotation of coordinate axis (i. e. coordinate transformation).
研究线性变换和二次型在初等数学中的应用，尤其在通过坐标轴的旋转（即坐标变换）化一般二次曲线方程为标准方程等方面的应用。
Utilizing the general linear quantum transformation theory, we give the exact expressions of evolutionary operator's matrix elements, wave function, expectation value of an observable and partition function, for multi-dimensional coupled and forced quantum oscillator.
运用广义线性量子变换的普遍理论求解多维耦合受迫量子谐振子，给出了系统演化算符的矩阵元、波函数、力学量期望值和配分函数的严格表达式。
The change of Lagrange's function and constraint equations of non-linear non-holonomic system in non-inertial system under the infinitesimal transformations of the time-space points leads to general transformation result.
加速参考系中的非线性完整系统，在空时坐标作无穷小变换下引起拉格朗日函数和约束方程的变化，导致了普遍的变换结果；
This paper gives the general solutions of the second order inhomogeneous linear differential equation with inconstant coefficients, by the method of the variable transformation.
通过变量变换，将变系数线性常微分方程化为常系数线性常微分方程，再利用常数变易法给出了一类二阶变系数非齐线性微分方程的通解。
This paper provides a general solution to the n-order variable coefficients linear differential equation by turning it into constants coefficients linear differential equation through variable transformation.
文章将高阶变系数线性常微分方程利用变量变换化为常系数线性常微分方程，进而得出高阶变系数线性微分方程的通解。
On the basis of the general expression of rectangle waveguide mode-spectrogram, the equivalent network is analyzed in the paper, and the linear fraction transformation method for detecting the multi-mode transmission in rectangle waveguide is introduced.
在介绍矩形波导模式谱图一般表达式的基础上，分析了多模传输波导的等效网络，提出了检测微波激励和传输系统中多模传输的分式线性变换检测法。
The Transformation and General Pythagoras'Theorem on the Linear Manifold
线性流型上的变换函数Φ及广义的勾股定理