网站首页  英汉词典

请输入您要查询的英文单词:

 

单词 manifold
释义

manifold /'mænɪfəʊld//'mænɪfold/

英汉-汉英词典
  1. vt. 复写,复印;使……多样化;增多
  2. adj. 多方面的,有许多部分的;各式各样的
  3. n. 多种;复印本
时 态: manifolded, manifolding, manifolds
名 词: manifoldness
词组 | 习惯用语
intake manifold 进气歧管
exhaust manifold [化]排废管汇
riemannian manifold [数]黎曼流形;黎曼廖
hydraulic manifold 液压系统分路阀箱
inlet manifold 进气总管;入口集合管
manifold block 歧管档块
fuel manifold 燃油歧管;燃油总管
英语例句库
  1. manifold intelligence.
    多方面的智慧
  2. a manifold traitor.
    一个十足的叛徒
  3. our manifold failings.
    我们在各方面的损失
  4. He has manifold talents.
    他有多方面的才能。
  5. maintain manifold links with...
    和...有千丝万缕的关系
  6. The City Council has a manifold plan to beautify the city.
    市政府制定了一个美化城市的多重规化。
  7. Goodness is simple,badness manifold.
    善良单纯;邪恶复杂。
  8. As an application, some nonexistence theorems of nonconstant stable harmonic maps from a Finsler manifold to a Riemannian manifold are given.
    英文摘要: The first and second variation formulas of the energy functional for a nondegenerate map between Finsler manifolds is derived.
  9. With the request of geometry modeling system and application of the concept about complexes algebraictopology in the field of industrial production , the theory of non-manifold model come into being.
    工业产品几何造型技术的发展要求,以及代数拓扑学复形等概念引入到几何造型中,因此产生了非流形几何造型理论。
  10. In the paper,we discuss some properties of prolongation in which the voctor field X of the manifold M polongs to the Cotangent Bundle T *M,and the Prolongation of the Lie algebra of Lie groups.
    文章讨论了流形M上的向量场X在其余切丛T*M上的拓展的几个性质,并讨论了李群上李代数的拓展。
  11. The main products are as follows, exhaust manifold, bent axle, camshaft, rubbing sassafras nestification, gearbox, support, flywheel, etc.
    主要产品有:排气歧管、曲轴、凸轮轴、摩擦嵌套、变速箱、支架、飞轮等。
  12. Gas Engine Block, Engine Head, Bearing Cap, Turbo-charge Housing, Manifold Exhaust, Diesel Engine Parts, Slotware.
    产品/Product:汽车发动机缸体、缸盖、轴承盖、涡轮增压器壳体、排汽歧管、柴油发动机铸件、槽盘。Goodness is simple,badness manifold.
    善良单纯;邪恶复杂。
  13. The City Council has a manifold plan to beautify the city.
    市政府制定了一个美化城市的多重规化。
  14. The ministry of books is manifold.
    书的用处很多。
  15. He has manifold talents.
    他有方面的才能。
  16. The main products are as follows, exhaust manifold, bent axle, camshaft, rubbing sassafras nestification, gearbox, support, flywheel, etc.
    排气歧管、曲轴、凸轮轴、摩擦嵌套、变速箱、支架、飞轮等。
  17. As an application, some nonexistence theorems of nonconstant stable harmonic maps from a Finsler manifold to a Riemannian manifold are given.
    The first and second variation formulas of the energy functional for a nondegenerate map between Finsler manifolds is derived.

声明:以上例句、词性分类均由互联网资源自动生成,未经过人工审核,其表达内容亦不代表本软件的观点;若发现问题,欢迎向我们指正。

原声例句
经济学人(汇总)

They have traded their manifold worries for an optimistic narrative about artificial intelligence.

他们已经放下了种种担忧,转而对人工智能持乐观态度。

地球实验室

For one, we found that natural regeneration under these trees has increased manifold when we have old trees.

首先,我们发现,当我们有了老树时,这些树下的自然再生能力会成倍增加。

飘(原版)

The only Latin he knew was the responses of the Mass and the only history the manifold wrongs of Ireland.

他唯一懂得的拉丁文是作弥撒时应答牧师的用语,唯一的历史知识则是爱尔兰的种种冤屈。

202320

The benefits of this paradigm shift are manifold.

这种范式转变的好处是方面的。

2023-41

The reasons for this architectural resurgence are manifold.

这种建筑复兴的原因是方面的。

美国历史

The effects of this economic movement were manifold and striking.

——这场经济运动的影响是方面的和显着的。

六级晨读美文

We mean the integrity of impression made by manifold natural objects.

我们指的是多种自然物体给人的印象的完整性。

潘潘

But he manifested his manhood in manifold aspects.

但他在多方面证明了他的男子气概。

202319

In conclusion, dear friends, the benefits of reading poetry are manifold and profound.

总之,亲爱的朋友们,读诗的好处是方面的、深远的。

大西洋帝国 第3季

The secretary's business interests are manifold.

这位部长的商业投资很广

中文百科

流形

球面(球的表面)为二维的流形,由于它能够由一群二维的图形来表示。
理想化的地球是一个流形。越近看就越近似于平面(“大三角形”是曲边的,但右下角非常小的三角形就和平面上一样了)。
四张图分别把圆的一部分映射到一个开区间,它们合在一起覆盖了整个圆。
圆圈流形基于斜率的坐标图集,每个图覆盖除了一点之外的所有点。

流形,是局部具有欧几里得空间性质的空间,是欧几里得空间中的曲线、曲面等概念的推广。欧几里得空间就是最简单的流形的实例。地球表面这样的球面则是一个稍微复杂的例子。一般的流形可以通过把许多平直的片折弯并粘连而成。

流形在数学中用于描述几何形体,它们为研究形体的可微性提供了一个自然的平台。物理上,经典力学的相空间和构造广义相对论的时空模型的四维伪黎曼流形都是流形的实例。位形空间中也可以定义流形。环面就是双摆的位形空间。

一般可以把几何形体的拓扑结构看作是完全“柔软”的,因为所有变形(同胚)会保持拓扑结构不变;而把解析几何结构看作是“硬”的,因为整体的结构都是固定的。例如一个多项式,如果你知道 (0,1) 区间的取值,则整个实数范围的值都是固定的,所以局部的变动会导致全局的变化。光滑流形可以看作是介于两者之间的模型:其无穷小的结构是“硬”的,而整体结构则是“柔软”的。这也许是中文译名“流形”的原因(整体的形态可以流动)。该译名由著名数学家和数学教育学家**引入。这样,流形的硬度使它能够容纳微分结构,而它的软度使得它可以作为很多需要独立的局部扰动的数学和物理的模型。

英语百科

Manifold 流形

The real projective plane is a two-dimensional manifold that cannot be realized in three dimensions without self-intersection, shown here as Boy's surface.
The surface of the Earth requires (at least) two charts to include every point. Here the globe is decomposed into charts around the North and South Poles.
Figure 1: The four charts each map part of the circle to an open interval, and together cover the whole circle.
Figure 2: A circle manifold chart based on slope, covering all but one point of the circle.

In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, each point of an n-dimensional manifold has a neighbourhood that is homeomorphic to the Euclidean space of dimension n.

One-dimensional manifolds include lines and circles, but not figure eights (because they have crossing points which are not locally homeomorphic to Euclidean 1-space). Two-dimensional manifolds are also called surfaces. Examples include the plane, the sphere, and the torus, which can all be embedded (formed without self-intersections) in three dimensional real space, but also the Klein bottle and real projective plane which will always self-intersect when immersed in real space.

近义、反义、联想词
近义词
n.
pipe, pipage, piping, paper, mathematical space, topological space

v.
copy, re-create, increase

adj.
multiple

反义词
n.
single

联想词
exhaust耗尽;valve阀;cylinder汽缸;inlet插入物;gasket束帆索,垫圈,衬垫;gaskets接合垫;intake吸入;flange凸缘;muffler围巾;baffle使…困惑;orifice孔口;
英英词典
manifold n.
  1. a pipe that has several lateral outlets to or from other pipes
  2. a lightweight paper used with carbon paper to make multiple copies
    • an original and two manifolds

    synonymous: manifold paper
  3. a set of points such as those of a closed surface or an analogue in three or more dimensions
manifold v.
  1. make multiple copies of
  2. combine or increase by multiplication

  3. synonymous: multiply
manifold adj.
  1. many and varied; having many features or forms
    • manifold reasons
    • our manifold failings
    • manifold intelligence

    synonymous: multiplex
随便看

 

英汉网英语在线翻译词典收录了3779314条英语词汇在线翻译词条,基本涵盖了全部常用英语词汇的中英文双语翻译及用法,是英语学习的有利工具。

 

Copyright © 2004-2024 encnc.com All Rights Reserved
更新时间:2025/6/22 11:00:43