映射

Further some equivalent conditions for a trivial algebra are given, and that the mapping which maps the subset of the universal to the maximal congruence that saturates the subset being a -homomorphism, being order preserving, being constant mapping, the algebra being trivial are equivalent is proved.

最后利用该同余给出了关于平凡代数的几个等价条件，证明了泛代数的子集到渗透该集的最大同余的映射为保序映射、该映射为-同态、该泛代数平凡等是等价的。

The method comprises allocating a reserved area within a linear addressing space of the disc, contiguously recording the A/V information signals in a video recording area located succeeding the reserved area, recording corresponding management data in a temporary overview space succeeding the video recording area, generating a mapping table for mapping the recorded management data to address locations in the reserved area and recording the mapping table in the temporary overview space.

该方法包含：在线性寻址空间中分配保留区域，将A/V信息信号连续地记录在保留区域之后的视频记录区域中，将相应的管理数据记录在视频记录区域之后的临时概观空间中，生成用于将所记录的管理数据映射到保留区域中的地址位置的映射表，将该映射表记录在临时概观空间中。

In the third section,we study the relationship between the APOTP for continuous map / on a compact metric space X and that for the lift map / of / on a covering space X and show that has the APOTP if and only if has the APOTP.

在第四节中，我们研究逆极限空间上移位映射的APOTP，讨论紧致度量空间上连续映射APOTP与逆极限空间上移位映射APOTP间的关系。

Secondly, by using the connection, we prove that the minimal continuous semi-flow is the minimal continuous flow if its time-one map is open, and for any minimal continuous semi-flow, there is an invariant residual set such that the restriction to the set is a minimal continuous flow.

为此，我们首先建立了它与其时间1映射极小集的联系；然后，利用这种联系证明了：若时间1映射为开映射，则它是极小的连续流，并且一般地说来，对任意极小连续半流，存在不变的剩余集，使得它在这不变集上的限制是极小的连续流。

Tan and Xu [1] had proved the theorem on convergence of Ishikawa iteration processes of asymptotically nonexpansive mapping on a compact convex subset of a uniform convex Banach space , Then Liu Qihou [3] presents the necessary and sufficient conditions for the Ishikawa iteration of asymptotically quasi-nonexpansive mapping with an error member on a Banach space convergent to a fixed point . Xu and Noor [5] had proved the theorem on convergence of three-step iterations of asymptotically nonexpansive mapping on nonempty closed, bounded and convex subset of uniformly convex Banach space.

Tan和Xu已经证明了建立在一致凸Banach空间紧凸子集上的渐进非扩张映射的Ishikawa迭代序列的收敛原理，随之，刘齐侯又阐述了Banach空间上渐进准非扩张映射T的具误差的Ishikawa迭代序列收敛于T的不动点的充分必要条件；之后，Xu和Noor也证明了定义在一致凸Banach空间某非空有界闭凸子集上的渐进非扩张映射的三步迭代序列的收敛原理。

More precisely, we obtain an important relation between the mapping Ψ, which plays an important role in defining obstruction set, and the mapping on the cotangent bundle induced by the original diffeomorphism. We show that the only difference between them is a nonlinear factor.

在§3.2中我们得到了在定义阻碍集这一概念中起着关键作用的Ψ映射与原来映射在其余切丛上所诱导映射之间仅仅只相差一个非线性因子这一重要关系。

In addition, the applications of the directional derivative and differential of the fuzzy mappings from 〓 to Ein convex fuzzy programming, the applications of the fixed point theorems of increasing fuzzymappings in fishery production and the applications of the integral over a directional linesegment of the fuzzy mappings are also studied.

另外，还给出了从〓到〓的模糊映射的方向可导性及可微性在凸模糊优化中的应用、增模糊映射的不动点定理在鱼业生产中的应用及模糊映射在有向线段上积分在获取统计数字方面的应用。

The accelerated algorithm of volume rendering based on textures mapping and the wavelet-based multiresolution volume rendering in network are performed by using OpenGL 3D visualization technique. From the point of view of computer graphics, 3D visualization mechanism of volume rendering based on OpenGL textures mapping is studied, including modelview transformation, projection transformation, perspective division, viewport transformation and the ways to embed textures mapping and blending in above four transformations.

利用OpenGL三维可视化技术实现了本文所提出的基于纹理映射的体绘制加速算法和网络环境下基于小波的体数据的多分辨率体绘制，并从计算机图形学的角度，研究了基于OpenGL纹理映射技术的体绘制的三维可视化流程，包括OpenGL的模视变换、投影变换、透视除法、视区变换，以及纹理的定义、映射与融合等步骤在上述四个变换中的嵌入方法。

It is obtained that a fuzzy mapping is convex if and only if the epigraph of this fuzzy mapping is a fuzzy set in R×E.

在此基础上，得到了一个实变量模糊数值映射是凸模糊映射的充分必要条件：这个实变量模糊数值映射的上方图是R×E中的一个凸集。

Exterior Opposite Angle Area: According to one angle area of the triangle, if we extend the two angle lines to the opposite direction, the area formed by the extending lines which like mirror area to the original angle is called here Exterior Opposite Angle Area.

外部对角映射区：针对三角形的一个角，将构成该角的两条相邻线段进行对角方外部对角映射区向的虚线，这两条虚线围成的区域就是该三角形一个角的外部对角映射区。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷