把...分解

Using the substitution-elimination method affine algebraic variety can be resolved to pure d-dimensional subvariety and expressed by an algebraic hypersurface on d+1-dimensional space with a sequence of elimination-polynomial systems. All 0-dimensional solution can be found, too.

利用变换消元法可以把代数簇分解成纯d维的子簇，并把代数簇表示为d+1维子空间上的超曲面形式和一系列的消元多项式组，且能求出全部孤立解，同时给出了算法及其在多项式因式分解中的应用。

A software construction method satisfies Modular Decomposability if it helps in the task of decomposing a software problem into a small number of less complex subproblems, connected by a simple structure, and independent enough to allow further work to proceed separately on each of them

如果一个软件构造方法能把一个软件问题分解成很多较简单的子问题，并把这些子问题用一个简单的架构连接起来，而且能够完全独立的在每一个子问题上再更进一步的分解，那么，这个方法就满足模块的分解性。

A corollary of the decomposability requirement is division of labor : once you have decomposed a system into subsystems you should be able to distribute work on these subsystems among different people or groups.

分解性需求的必然结果是人工的分配：一旦您已经把一个系统分解成子系统，您应该能够把这些子系统的工作分配给不同的人或组。

Concretely, we hope to know whether a central hyperplane arrangement can be decomposed into several irreducible subarrangements or not.

具体地讲，希望知道能否把中心构形分解为若干个不能再分解的子构形，把对中心构形的研究归结为对它的不可约子构形的研究。

Special attention should be paid when we apply the decomposition method to two-point boundary value problems, it is necessary to solve a algebraic system;It should be noted that a modification of inverse operator should be made when dealing with singular boundary value problems;Laplace transform and Pade approximants can be coupled to enhance the efficiency of the decomposition method.

比如，在求解两点边值问题时就需要特别注意，这时需要采用待定系数法，最后会涉及到系数方程组的求解；在处理奇异边值问题时需要重新定义逆运算；不少研究人员还把分解方法与Laplace变换和Padé逼近相结合来进一步提高分解方法的精度。

The process whereby heavy molecules of naphtha or petroleum are broken down into hydrocarbons of lower molecular weight (especially in the oil-refining process).

把石油重分子分解成低分子碳氢化合物的过程；把石油分子分解成更小的分子并提取低沸点的分馏部分的过程。

Whereby heavy molecules of naphtha or petroleum are broken down into hydrocarbons of lower molecular weight (especially in the oil-refining process).

把石油重分子分解成低分子碳氢化合物的''。'过程'。''；把石油分子分解成更小的分子并提取低沸点的分馏部分的''。'过程'。''。

Most microorganisms, such as bacteria and fungi, are decomposers; they break down, or catabolize, the organic materials produced by plants and animals and make the nutrients contained in them available to successive generations of living things.

大部分微生物，例如细菌和真菌等，都是腐生物，可分解或分解代谢动植物所产生的有机物，而且还可把体内的养料供给生物世世代代享用。在某种程度上，我们可以把生物清理法看作是这些生物自然变化的一种延伸。

Therefore,a fast algorithm of NMF is presented.By some algebra formulation,the matrix to be factorized is changed into a low-dimension matrix which is a diagonal matrix whose dimension is related to the number of samples.Moreover the feature extraction for one sample only needs to calculate the inner product.

该算法通过代数变换，把对原高维矩阵的非负分解转换成非负的低维矩阵的非负分解，其求解过程只需要对一个阶数等于样本数的对角矩阵进行非负矩阵分解，同时提取某样本特征时只需要计算该样本与所有训练样本的内积。

Theresult showed that the stability and accuracy of α-Si-Mo heterophony acid absorption photometry methodwere improved higher than that of β-Si-Mo heterophony acid method can be used for daily rapid analysisof high content of silicon in the ceramic chalk.

硅的测定方法很多，对于高硅(Si≥0.4%)样品的测定，一般采用重量法[1]或氟硅酸钾容量法，由于二者都需要把分解好的样品形成正硅酸沉淀进行过滤，然后分别进行测定。

It is also known as one of the most poisonous naturally occurring substances.

它也被称为一个最自然发生的有毒物质。

The greatest stress is found at the location on the cross section where V is the largest.

最大应力出现在横截面上V为最大的地方。