查询词典 tension field

According to algebraic number theory,all solutions of Pocklington equation in a ring of integers of a quadratic imaginary field are determined,which implies that the equation has only several solutions in the ring.

利用代数数论的理论与方法，决定了一个重要的不定方程在一个特殊的虚二次域整数环中的解，从而指出这个方程在比整数环更大的环中也仅有有限个解。

A polynomial system PS over the rational number field is constructed from the formula...,in a given many-valued logic system such that follows from ...,iff the algebraic variety defined by PS is empty, iff the idealenerated by PS is trivial.

由给定的多值逻辑系统中的一组公式，。。。，，出发，构造出了一组有理数域上的多项式PS，使得是，。。。，的逻辑结论，当且仅当PS定义的代数簇为空集，当且仅当PS生成的理想是平凡理想。

This course covers the fundamental notions and results about algebraic varieties over an algebraically closed field.

本课程包括了代数闭域上代数簇的基本概念和结果，同时也讨论了复代数簇和复解析簇之间的关系。

Let V be an n-dimensional vector space over an algebraically closed field F of characteristic 0, where n = 2m.

设V是特征为0的代数闭域F上的n维向量空间，n=2m。

When F is an algebraically closed field char F≠2, A is similar over F to an orthogonal matrix if and only if ( 1 ) the invariant factors of A aer self-reciprocal (2) the elementary divi sors of A of the form x...

ii当F为一个代数闭域且char≠2时，F相似于一个正交矩阵的充要条件为(1)A的不变因子是自反的。(2)A的形为(X±1)~(2k)的初等因子出现偶数次。

It is shown that, any reprersentation finite special biserial algebra has a Groebner basis theory, and a finite-dimensional basic algebra over an algebraically closed field is representation finite if and only if every module over it has a right Groebner basis theory.

证明了表示有限特殊双列代数有Groebner基，从而扩大了Groebner基理论的应用范围；证明了一个代数封闭域上的有限维代数是表示有限特殊双列代数当且仅当其上每个右模都有右Groebner基理论，从而扩大了右Groebner基理论的应用范围。

From the famous Gabriel's theorem ,a basic connected finite dimensional associative algebra A over an algebraically closed field can be looked as a quotient of a path algebra decided by a connected finite quiver Q.

由Gabriel 定理，代数闭域上基的，连通的有限维结合代数A 同构于一个由连通有限箭图Q 确定的路代数的商代数。

They collected images of the magnetic field generated by one of the stars in the Algol system , located about 93 light-years away.

他们收集了一批磁场图像，磁场是由大陵双星系统中的一颗子星产生的。

Furthermore,3-D FEM algorithm based on the division of tetrahedral grids is deduced by the equations of point electrical source field.

同时，从点电源场满足的方程出发，本文推导了三维复杂地形条件下有限元数值模拟算法，并编制了计算程序。

As early as the early 1990s, conducting large-scale foreign Set text retrieval tests will be made on the field of automatic abstracting text structure analysis for information seized request area to enhance the retrieval accuracy, and have done a series of studies, presents a simple and effective logic of the division algorithm : TextTiling algorithm.

早在90年代初期，国外在进行大规模文本集合检索试验时就提出将自动文摘领域的文本结构分析应用于信息检索领域以提高检索精度，并对此进行了一系列研究，提出了一种简单有效的逻辑段划分算法：TextTiling算法。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。