查询词典 general algebra

Harmonic oscillator: operator algebra, states.

谐振子：算子代数，态。

Then the interpolation representations of fuzzy controllers with Mamdani implication operator, algebra product implication operator, Zadeh implication operator and implication operator are introduced separately.

然后分别获得了基於POFI方法的Mamdani蕴涵算子模糊控制器、代数积蕴涵运算子模糊控制器、Zadeh蕴涵运算子模糊控制器及加乘运算子模糊控制器的插值表示，由此发现这些模糊控制器具有函数逼近的泛性。

Operator precedence follows the rules of algebra and may be altered by the use of parentheses.

操作符先要按照代数法则并且它可通过用来更改计算优先级。

The research of these subjects has related to pure and applied mathematics such as algebra, geometry, operator perturbation theory, matrix anal-ysis, approximation theory, multivariate linear modeling, optimality principle and quantum physics etc.

对它们的研究涉及到基础数学与应用数学的许多分支，诸如代数学、几何理论、算子扰动理论、矩阵理论、逼近论、优化理论与量子物理等。

In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.

本文中，我们证明了作为泛代数的半格的定义与作为偏序集的半格的定义是等价的。

The course content includes ordinary differential equation, linear algebra, vector calculus, Fourier analysis and partial differencial equation partial differential equation, with the aim to train students in establishing an exact perception to the meaning of theory, calculation and experimentation.

课程内容有常微分方程，线性代数，向量微积分，Fourier 分析及偏微分方程式等章节，训练同学在理论，计算及实验间建立正确的认知及意义。

The course will introduce the basic theory of Linear Algebra including linear equations, Matrix theory and vector space concept. Eigenvalues and eigenvectors are used for describing the characteristics of the system. A set of orthogonal basis vectors represent the vector components and transformation characteristics.

线性代数是利用向量与矩阵特性，解决任何以线性方程式描述之系统，譬如电路系统、通讯系统、控制系统；藉由线性代数之特征值与特征向量，更能深入了解系统之内涵；藉由线性代数正交基底，则能深入了解向量讯号之组成与其转换特性。

The construction of complex orthomorphism is created, and based on it the connection of complex f -algebra and complex orthomorphism is discussed.

详细论证了复正交射的结构，并以此为基础讨论了复f-代数与复正交射的关系。

Finally, complex orthomorphism which is intimate with complex f -algebra is fully studied.

最后，研究了和复f-代数密切相关的一类算子：复正交射。

The results obtained in the thesis are as follows: Firstly, the thesis proves that the inner measure and outer measure which defined by Fagin and Halpern are a kind of random sets, generalizes the concept of random sets to Boolean algebra's, and hence establishes the theory of the generalization of random sets.

本文的主要结果如下：①本文证明了Fagin和Halpern提出的内、外测度可表示为一种随机集合，并把随机集合的概念从幂集合推广到了布尔代数上，从而提出了广义随机集合理论。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。