查询词典 transformations

It is general for Integer GCD algorithms to use one or several basic transformations which reduce the size of the inputs integers, these transformations are denned as Reduction in this paper.

另外，本文给出了约简的定义，整数GCD算法中逐步减小输入整数规模的变换都可以看作约简。

The investment conforms to the state industrial policy technological transformations project, its project needs the domestically produced equipment investment (not including financial appropriate fouds) 40%, it might compare previous year creational from the enterprise technological transformations and project equipment purchase to collecting new increase income tax and deduct in the past.

投资符合国家产业政策的技术改造项目，其项目所需国产设备投资的40%，可从企业技术改造项目设备购置当年比前一年新增的企业所得税中抵扣。

We study a polygon representation composed by the vertex angles and ratios of adjacent edge lengths, which is invariant to geometric transformations such as translation, rotation and scaling. The polygon is globally represented by a scale-invariant intrinsic matrix.

提出了由顶点转角和相邻边长比例构成的多边形伸缩内在量表示的方法，多边形从整体上由一个伸缩内在矩阵来表示，该表示方法具有平移、旋转和伸缩等几何不变性。

It is proved that the least squareestimators of linear estimable functions of regression coefficients areadmissible under matrix loss and minimax. The necessary and sufficientexistence conditions are derived for the uniformly minimum riskequivariant estimators of linear estimable functions ofregression coefficients under an affine group and a transitive group oftransformations respectively. It is also proved that there are no UMREestimators ofthe covariance matrix and variance under an affine groupof transformations and quadratic loss functions.

本文证明了回归系数的线性可估函数的最小二乘估计是极小极大的且在矩阵损失函数下是可容许的；还分别在仿射变换群和平移群下导出了存在回归系数的线性可估函数的一致最小风险同变估计的充要条件，并证明了在仿射变换和二次损失下不存在协方差阵和方差的 UMRE 估计。

Topics include: line generators, affine transformations, line and polygon clipping, splines, interactive techniques, perspective projection, solid modeling, hidden surface algorithms, lighting models, shading, and animation.

章节中包含：线的生成，仿射转换，线和多边形的裁切，样条线，互动技术，透视投影，实体模型，隐藏面算法，明暗模型，阴影，和动画。

In affine invariant space, the 3D object is not affected by geometric transformations, such as translation, rotation and scaling.

由于在仿射不变空间下，3D物体模型不受平移、旋转和比例变换的影响，故该水印方案对于此类变化具有很强的鲁棒性。

With respect to syntax, the roles of tagmeme in the structure of word and sentence and Chomsky's Generative-Transformational Grammar are discussed. The spatial relation theory and existing research achievements are investigated. Having noticed the shortage of the capability of topological and metrical relation in the description of spatial information structure, the author proposes Combinational Qualitative Geometry based on the two invariables under ordinary transformations, distance ratio and direction difference, the CQG-based spatial relation system between topological and metrical constraint is thus constructed, on which several spatial relations such as parallel, perpendicularity, co-linearity, sequence and direct neighborhood are derived. Based on extended theory of spatial relation, the language anamorphosis is analyzed from the aspects of phonetics, semantics and syntax. The mere geometric and formalized spatial relation is then integrated with concrete geographic ontology to accommodate richer and indicative spatial configuration of spatial information in the different geographic context. Finally a syntax framework for spatial information is put forward.

在语法结构方面，首先阐述了法位和法素在语法结构词法和句法中的地位和作用，以及Chomsky生成转换语法的核心内容；详细介绍了地理信息系统空间关系理论及现有的研究成果；在分析现有的拓扑关系和量度关系对空间信息结构描述能力不足的基础上，提出了基于长度比和角度差两个不变量的组合定性几何，以此建立了介于拓扑及量度约束之间的组合定性关系体系，并以此为基础派生出平行、垂直、共线、次序、直接邻近等空间关系描述；本文基于扩展的空间关系理论，详细讨论了空间关系在语音、语法和语义三个方面的语言变体，将纯几何和纯形式化的空间关系与具体的地理本体结合起来，可以获得更为丰富的、更能反映空间关系在不同语言上下文中具体体现的组合关系；最后给出了一个空间信息的语法结构的基本框架。

Here is a hypothetical program (sorry, I haven't really tested it) that makes some well known arithmetical transformations.

下面是一个假设性的程序（对不起，我没有真正的考验，它），使得一些著名的算术转变。

The ACC water cooling process of low C-Mn steel is confirmed in research of three austenite transformations in production.

通过在生产实践中对奥氏体3种基本转变类型的研究，确立了低碳锰钢系列不同钢种的ACC水冷工艺。

In fact, the application of chiral ILs in asymmetric catalytic transformations is still at a preliminary stage.Benzoin is an important intermediate in organosynthesis. And more than, chiral benzoin is important structure unit of many bioactive compounds and building blocks of many enantioselective synthesis.

苯偶姻是一种重要的有机合成中间体，而且光学活性苯偶姻是许多生物活性化合物的重要结构单元，是可用于立体选择性合成生物活性有机分子的重要合成砌块。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。