查询词典 algebraically dependent elements

This is quite useful: one may safely enlarge the field ''K'', for instance to get an algebraically closed field; Jordan forms can then be computed over the large field and can be used to determine whether the given matrices are similar over the small field.

不是所有的矩阵都可以对角化，但至少在复数域内，所有的矩阵都相似于一些被称为

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。

It is discovered that the Newton direction of Peng et al can be obtained from an algebraically equivalent path.

与此同时，分析了该方法与Peng等人近期工作的联系，发现互补条件的右端可表示成熵函数的负梯度。

In interior-point methods, different trajectories to the optimal set are formed from different algebraically equivalent paths.

在内点法中，采用不同的代数等价路径形成了通向最优解的不同轨迹。

The first is based on the algebraically equivalent transformation to the standard centering equation xs=μe.

首先通过对中心化方程xs=μe实施代数等价变换，得到了新的不同的摄动方程组。

At last, we will explore the completeness of the algebraic laws with respect to a subset of Verilog and the operational semantics, i. e., if such programs are bisimilar, then they are algebraically equivalent.

最后本文研究了代数语义的相对完备性，即参照前面的操作语义模型，相对于扩展Verilog语言的一个子集而言，我们的代数语义是完备的。

At last, the completeness of the algebraic laws with respect to a subset of Verilog and the operational semantics, i.e., are explored, if such programs are bisimilar, then they are algebraically equivalent.

研究了此代数语义的相对完备性，即参照前面的操作语义模型，相对于扩展Verilog语言的一个子集而言，此代数语义是完备的。

And then we consider the manner in which the Bennett linkage is related to the hyperboloid defined by its joint axes and the one defined by its links. We go on to algebraically inter-relate these and an equivalent screw of the overall instantaneous motion, which help us understand its kinetic property.

然后进一步研究了它的四个轴线所组成的单叶双曲面和它本身的几何参数的关系，使Bennett机构的瞬时运动和某个单叶双曲面结合起来，有利于我们对其运动属性的了解。

Discusses algebraically and geometrically the properties of the ruled surfaces in the Euclidean three-space, especially, the principal normal surfaces on which there are some special curves, such as Mannheim curves, Bertrand curves and general helices.

在三维欧氏空间中，作为特殊曲线，Mannheim曲线、Bertrand曲线以及一般螺线具有良好的几何和代数性质。讨论了三维欧氏空间中特殊曲线的主法线曲面。

Bob Eckert has been chairman and chief executive of Mattel for eight years.

美泰董事长兼首席执行官鲍勃·埃克尔特在任已8年。

The outlook for honors and disgraces carries on and surpasses the traditional outlook for honors and disgraces theoretically, and carries on and develops the theory of construction of socialist mora...

社会主义荣辱观的提出在理论上是对传统荣辱观的一次继承和超越，是对社会主义道德建设理论的继承和发展，在实践上有利于形成良好的社会风尚。