查询词典 vector decomposition

To treat with aeration and bacteria to aid decomposition.

做通风和细菌的处理以加速其分解。

It has been detected in a wide range of aerobe. The decomposition of hydrogen peroxide catalyzed by catalase is a bi- substrate enzyme-catalyzed reaction. As Chance proposed, it is an overall first-order reaction.

过氧化氢酶催化过氧化氢分解是一个两底物酶促反应，依照Chance提出的机理，反应速率方程具有一级反应方程的形式。

Aiming at the shortage of traditional numerical methods, the Adomian Decomposition Method is introduced to solve the nonlinear model equations in reaction engineering. ADM can give the approximate analytical solutions in a form of algebraic expressions for nonlinear equations.

针对传统数值求解方法存在的不足，将Adomian分解法(Adomian Decomposition Method，ADM)引入到反应工程非线性数模求解中，可给出非线性数模逼近解析解的代数表达式。

A generalized mathematical model was developed to describe the distribution of over-potential.Dimensionless variables μ and ω that characterize the polarization and influence of side electrode reaction in the system,were derived from modeling.Adomian's decomposition methodADM）was used to solve the nonlinear differential equation of the model to obtain an approximate analytical solution,which was in the form of algebraic expressions of infinite power series.By the solution,the relationship between over-potential distribution and average selectivity could be easily calculated without solving the nonlinear model time and again.

建立了描述超电势分布的普遍化数学模型，归纳出表征电极极化和副反应影响的量纲1数μ和ω，并用ADM（Adomian's decomposition method）对该非线性微分方程模型求解；所获得的逼近解代数表达式，可方便地计算不同参数下超电势分布对平均选择性的影响，而毋需反复求解模型微分方程。

Prime ideal decomposition is an important problem in algebraic number theory and is relative closely with the class field theory and so on.

素理想分解问题是代数数论中的一个重要课题，它与类域论的关系极为密切，因而如何判断K的素理想在K的有限扩张中的分解状况是一个十分有意义的问题。

For a system of algebraic equations, we can get a zero decomposition of triangular systems.

对于给定的的代数方城组，通过正规分解，可以得到一组具有三角形式的分解。

In this paper, we present a method to solve system of algebraic equations or system of parametric algebraic equations by computing the normal zero decomposition of polynomial systems.

本文提出一种利用多项式系统的正规零点分解的算法来求解代数方程组以及带有参数的代数方程组的方法。

In order to solvepiecewise algebraic varieties, we propose a new method to compute an algebraic varietyon a convex polyhedron by adding hyperplanes with the method of Groebner bases. Thus,the algebraic variety on the convex polyhedron is transformed to the positive solutionsof a system of polynomials. Besides, the minimal decomposition is also obtained.

通过添加超平面技巧将Groebner基方法应用到凸多面体内任意维代数簇的计算上，从而把凸多面体内的代数簇转化为另外一组多项式方程组的正解，并且得到了该代数簇在凸多面体内的极小分解。

Applying the techniques of real radical ideal, P-radical ideal , decomposition of semi-algebraic set in ( [72] ), affine Hilbert polynomial and B-net form of polynomials on simplex, this paper obtains two theorems of real C〓 piecewise algebraic variety dimensions and the real Nullstellensatz in C〓 spline ring.

4：应用多项式在单纯形上的B-网形式以及文献（[72]）中的实根理想，锥根理想，半代数簇分解定理，本文得出了实C〓分片代数簇的二个维数定理和C〓样条空间的实零点定理。

The results show that the decomposition of alkaline earth metal nitrates become more difficult as the atomic number increases.

结果表明，碱土金属硝酸盐分解成为氧化物的难度随着原子序数的增大而增加。 Mg(NO3)2在550 ℃时就可以直接分解为MgO。

What was it that made you want to change sider ?

是什么使你临阵倒戈？

I don't know what he wants, but let's play along with him.

我不知道他要干什么，可我