查询词典 transformation function

This article first discusses the significance of homogeneity of variance, then studies the general method of transformation for homogeneity of variance on the relation between the data mean and the variance when population distribution is known ,and it uses the Mathematica software to analyse the variety rules between the parameter and the variance in the corresponding transformation.

从方差非齐性数据处理中的变换的必要性入手，根据数据均值与方差之间的关系研究了总体分布已知时的方差齐性变换的一般方法，并利用Mathematica软件分析相应变换中参数与方差之间的图形规律，最后介绍了总体分布未知时的BoxCox变换的一般原理。

In this paper,we firstly utilize homogeneous linear coordinate transformation to express the object image conjugate theory of Gauss optic system;then compare it with the acting matrix in Theory of Motion Optics,expatiate on the relations between the coordinate transformation method and Theory of Motion Optics.

利用齐次线性坐标变换，将光学系统的高斯物像共轭理论用齐次坐标变换的方法来描述，并与动态光学理论中的作用矩阵相比较，阐述坐标变换方法与动态光学理论的关系。

The innovation of our thesis lies in:1 We do not require quadratic space to have hyperbolic basis. Moreover, we only require M to be projection module instead of free module;2 Eichler transformation is used instead of the traditional matrix transformation in our proof;3 Not only do we extend the relative results obtained by Bak and Vavilov and the results obtained by Vaserstein and You hong , we also simplify the proof significantly.

我们的创新之处在于： 1 不要求二次型空间具有双曲基，甚至不要求M是自由模，而仅要求M是投射模； 2 我们在论证中使用的是Eichler变换而不是传统的矩阵； 3 我们的结果不仅推广了Bak与Vavilov以及Vaserstein与游宏的相应结果，而且论证也极大地简化了。

The main content of this thesis is to find and prove some summation and transformation formulae of basic hypergeometric series by the modified Cauchy method,operator method and inversion techniques,which include many well-known results as special cases,for example,q-Saalschiitz summation formula,Baileys _6ψ_6 summation formula,non-terminating Watson transformation formula and Rogers-Ramanujan identities etc.

本文的主要内容是利用修正的Cauchy方法、算子方法和组合反演技巧来发现和证明一些基本超几何级数求和公式和变换公式，其中包含一些著名的公式，如q-Saalschüz求和公式、Bailey的_6ψ_6求和公式和非终止的Watson变换公式等作为其特殊情况。

By using this method we obtain two gen-eralized transformation formulae of q-integral form,two identities of basic hypergeometric series,as well as formal extensions for q-Pfaff-Saalschütz formula,q-Chu-Vandermonde identity and a three-term transformation formula of _3φ_2-series.

我们推广了两个q-积分形式的变换公式和两个有关基本超几何级数的恒等式，还得到q-Pfaff-Saalschütz公式、q-Chu-Vandermonde恒等式和基本超几何级数中一个有关_3φ_(2~-)级数的三项变换公式等的形式推广。

Working principle and structural design of a new hypocycloid energy transformation mechanism was introduced. Dynamic model for a new hypocycloid energy transformation mechanism was derived from Euler-Langrange approach based on energy.

介绍了新型内摆线能量转换机构的工作原理和结构设计，采用基于能量的欧拉-拉格朗日方法推导了系统的动力学模型。

In this article, it is introduced the different methods (identical point, transformation of image and so on)of image registration based on the transformation of image.

医学图像配准是指对于一幅医学图像寻求一种空间变换，使它与另一幅医学图像上的对应点达到空间上的一致。

In a word, the Trade Association system was the combo of inductivity system transformation and compelling system transformation.

总的看来，同业公会制度是诱导性制度变迁与强制性制度变迁融合体。

There exists a dual symmetry between the equations of motion and the Maurer-Cartan equations of the type IIB superstring on AdS〓 S〓. We generalize the finite dual transformation to the infinitesimal dual transformation by the twisted dual.

根据Euler-Lagrange运动方程与Maurer-Cartan方程的扭曲对偶变换，我们可得到AdS〓×S〓中IIB超弦的Lax平联络及其相应的可积的相容条件，由此可以说明体系是一个可积系统。

We first analyze the relationship between the characteris-tic subspaces of linear transformation A,and its conjuge transformation A*, on then-dimensional complex inner product space Cn, and prove that the characteristicsubspace of an enginvalueλof A is orthogonal to that of enginvalue μ of A* if λ≠μ.

首先，分析n-维复内积空间Cn上的线性变换A与其共轭变换A*的特征子空间之间的关系，证明出只要A的一个特征值λ与A*的一个特征值μ的共轭不同，那么它们对应的特征子空间是正交的。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。