一一对应

Large varation on the interfacial properties between asphaltene model oil and water is observed when the pH of water phase is different.

取等量的沥青质配制成的模型油乳状液的稳定性与该原油乳状液稳定性有一一对应关系。

Most languages can be identified with a single designer.

大多数语言都可以找到一一对应的设计人员。

There is a bijection between the set of all the projections on Hilbert space H and the set of all the closed subspaces of Hilbert space H.

我们都知道Hilbert空间上的正交投影和Hilbert空间的闭子空间是一一对应的。

By the combinatorial proof or combinatorial interpretation, the identity is equipped with certain count meaning. The most general way in the combinatorial proof is to count two sides of the identity by two different methods. Generaly, through building a bijection from one set to another one, the number of the two sets respectively represents the two sides of the identity.

恒等式的组合证明或组合解释赋予了恒等式一定的计数意义，组合证明最常用的方法是分别用两种不同的方法对恒等式的两端进行计数，一般通过构造两个集合之间的双射，这两个集合的个数分别表示恒等式的两端，从而根据双射的一一对应性证明恒等式。

Moreover, by the combinatorial proof or combinatorial interpretation, the identity is equipped with certain count meaning. The most general way in the combinatorial proofs is to count two sides of the identity by two different methods. Generaly, through building a bijection from one set to another one, the number of the two sets respectively represents the two sides of the identity. Because of the 1-1 property of bijection, the identity is proved.

此外，恒等式的组合证明或组合解释赋予了恒等式一定的计数意义，组合证明最常用的方法是分别用两种不同的方法对恒等式的两端进行计数，一般通过构造两个集合之间的双射，这两个集合的个数分别表示恒等式的两端，从而根据双射的一一对应性证明恒等式。

Similar to [KV2], for a Dynkin-algebra A, we prove that there is a bijection between the bi-aisles in Db and thestrictly full triangulated subcategories of Db which are closed under direct sum-mands.

运用[KV2]中的技巧，对Dynkin型k-代数A的模范畴的有界导出范畴Db，我们证明了其上的双aisles与其上的严格的且关于直和项封闭的三角满子范畴存在着一一对应的关系。

Let L and P be Lie color algebras and let M be a graded module over P, the crossed modules which make M as their kernal and P as their cokernal are considered. It is shown that under a suitable equivalent relation, there is a bijection between the set of the equivalent classes CML and the homogeneous components of degree zero of H~3.

从交叉模的定义出发，对于给定的Lie color代数L，P以及阶化P模M，考虑所有以M为核、以P为余核的L的交叉模，在这些交叉模之间定义了一个等价关系，由此得到交叉模的等价类集CML，证明了CML与三维上同调群H~3的零次齐次部分之间存在一一对应，从而可以利用三维上同调群对Lie color代数的交叉模进行分类。

Then, the bilinear spatial transformation equations are solved according to the mapping between the four vertices of a distorted plate image and its normalized vertices, so as to correct the distorted plate image.

然后，根据畸变牌照的4个顶点和归一化汽车牌照图像的4个顶点之间的一一对应关系，求解双线性空间变换方程，进而对畸变图像进行校正。

The theory of reciprocal screws is used to determine the independent controllable variables in the Cartesian space, and the mapping between the controllable velocity components in t...

文章用反螺旋理论通过建立独立运动变量和关节变量的运动模型，使机器人末端可控变量与关节变量成一一对应关系。

Typical elements are classified as simple elements and combinative elements, which are convenient for parameter initialization of elements.

元件分为简单元件和组合元件，并和润滑系统结构一一对应，方便了元件的初始化。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。