查询词典 implies

In the last chapter, on the basis of theories in paper [4, 5], the notions of strong mixing, weak mixing, generator and expansion of the variable-parametric dynamical system are introduced, it turns out that in variable-parametric dynamical system strong mixing implies weak mixing and then implies transitivity; it is proved that if and both are variable-parametric dynamical system, F conjugates with G , the members of F are communicate with each other and the members of G are also communicate with each other, what's more, they are both homeomorphism, then F is strong mixing implies G has the same properties; futhermore, we prove that F is strong mixing implies F Devaney chaos in the sense of modification in variable-parametric dynamical system and that F Devaney chaos in the sense of modification if and only if G Devaney chaos in the sense of modification when semi-conjugate with and they both are communicate and homeomorphism; at last, we illustrate that F has generator if and only if it has weak generator, and we also prove that if F is expansion, then F has generator.

在第三章中，我们在文[4，5]的基础上，提出了变参数动力系统拓扑强混合、拓扑弱混合以及变参数动力系统的生成子、扩张的概念；证明了变参数动力系统拓扑强混合蕴含拓扑弱混合，进而蕴含拓扑传递；证明了：如果，为两个变参数动力系统，F与G拓扑半共轭，且F两两可交换，G两两可交换，它们均为同胚映射，那么F拓扑强混合，则G也有同样的性质；本章还证明了变参数动力系统拓扑强混合蕴含F在修改的意义下Devaney混沌；在此基础上得出了：如果变参数动力系统与变参数动力系统拓扑半共轭，它们都两两可交换，并且它们均为同胚映射，那么F在修改的意义下Devaney混沌当且仅当G在修改的意义下Devaney混沌；得出了F有生成子当且仅当F有弱生成子；如果F是扩张的，则F有生成子。

The transverse lattice of checkerboard is 7 of width, and 13 of length which implies that Beijing won the competition of hosting Olympic Games on July 13 ; The Temple of Heaven is embodiment of Beijing ; The highest storey of checkerboard is golden , implied that the chessman has arrived at the maximal realm and gained a gold medal ; The area marked (1)(2)(3)(4)(5) are disobey gauge areas , distinguished in red and green. The chessman will be punished when passing the different color disobey gauge area which implies that behavior of breaking the rules will be punished (for instance: Using the excitant); Playing the Xin'ao Chess, both sides sit in a line, it implies that both sides are located in the same starting line and fair competition.

棋盘横向格数最高为7，纵向为13格，寓意7月13日北京获得2008年奥运会举办权；天坛祈年殿外形缩影轮廓，既古朴典雅，又美观大方，最能体现北京的城市形象；棋盘顶层为金色，寓意棋子运行到了最高境界，获得了金牌；①②③④⑤犯规区分为红、绿两色，当与之相异颜色的棋子经过时罚分，其寓意为对犯规行为的惩罚；与其他棋类不同，奥林匹克棋对弈双方同侧而坐，寓意游戏双方位于同一起跑线，公平竞争。

Maybe it implies that the tragedy of Tess will no longer occur in this era. Somehow, it also implies the accidie and the lost of senses of true love, which actually is the contempt to ourselves and humanity.

这也许意味着苔丝这样的悲剧不会再发生，但同时也意味着对真爱的不在乎，不珍惜，其实，是对自己的不尊重。

Thus the above results imply the well known Linnik Theorem[21]on the leastprime in an arithmetic progression,and our result(2)implies 〓,(3)implies

因而上述问题均蕴含了Linnik关于算术级数中最小素数的著名定理。作为直接推论（2）和（3）分别蕴含了Linnik常数≤34和≤128/9。

In fact a pen nib implies of universe, and the history of it implies its history.

故此，这笔尖蕴含了一个宇宙，而它的历史也蕴含了它自身的历史。

It is proved that frame indifference of strain energy founctions Wof a hyperelastic materical implies symmetry of Cauchy stress tensor T,and that frame indifference of T implies symmetry of T.

证明了应变能函数的客观性意味着 Cauchy 应力张量的对称性，以及 Cauchy 应力张量的客观性将包含应变能函数的客观性，从而也导致 Cauchy 应力张量的对称性。

To the artist,"geometry" implies the world's original form, and "pattern" implies individual perception and illusion. The intermixing and fusing of these two kinds of maps form a kind of true "map of the soul".

对他来说，&几何学&意味着世界的原型，而&花样&意味着个人的情感和幻想——这两种地图的交合与混融形成了一种真正的&心灵的地图&。

Geometric continuity is less strict than mathematical continuity. G0 and C0 are equivalent, that is, the segments are positionally continuous. G1 implies that the tangent vectors are equal in direction, but not magnitude. G2 implies the curvature is the same, but the second derivatives are not.

几何连续性没有数学连续性严格。G0 和 C0 的意思相同，即段在位置上连续。G1 意味着切向矢量的方向相同，但模量不同。G2 意味着曲率相同，但二阶导数不同。

Geometric continuity is less strict than mathematical continuity. G0 and C0 are equialent, that is, the segments are positionally continuous. G1 implies that the tangent ectors are equal in direction, but not magnitude. G2 implies the curature is the same, but the second deriaties are not.

几何连续性没有数学连续性严格。G0 和 C0 的意思相同，即段在位置上连续。G1 意味着切向矢量的方向相同，但模量不同。G2 意味着曲率相同，但二阶导数不同。

It implies that 1 only size matters, and 2 you have to be a chain in order to possess a top hotel brand.

美国饭店旅馆协会的评选方法意味着：1）只关注规模；2）必须是饭店联号集团。

As of Tuesday, Google's results were still censored in China.

截至周二，谷歌的搜索结果仍受中国审查。

In order to make the positive action increase and negative one decrease, the sub-forces of the social factors must be adjusted to form a centripetal force.

在这一过程中，人的主体性发挥是社会有机体健康发展的灵魂。