manifolds background

manifolds

/ˈmænɪfoʊldz/ /ˈmænɪfɔːldz/

Illustration manifolds - Image 1

noun

复写本，副本。

A copy made by the manifold writing process.

Examples :

"The secretary made several manifolds of the meeting minutes using the old duplicating machine, so everyone could have a copy. "

秘书用那台旧式复印机复写了好几份会议纪要的复写本，这样每个人都能有一份了。

writing stationery machine technology item process

Illustration manifolds - Image 1

Illustration manifolds - Image 2

noun

歧管，集管

A pipe fitting or similar device that connects multiple inputs or outputs.

Examples :

"The plumber installed manifolds to split the water supply, allowing us to run both the shower and the sink at the same time. "

水管工安装了集水歧管来分流供水，这样我们就可以同时使用淋浴和水槽了。

part device technical machine utility structure

Illustration manifolds - Image 1

noun

皱胃

(chiefly in the plural) The third stomach of a ruminant animal, an omasum.

Examples :

"The butcher showed us the beef's manifolds, along with the other organs. "

屠夫向我们展示了那头牛的皱胃，以及其他的内脏。

animal organ anatomy physiology food biology

Illustration manifolds - Image 1

noun

流形，多样体。

A topological space that looks locally like the "ordinary" Euclidean space \mathbb{R}^n and is Hausdorff.

Examples :

"While a globe is curved, locally, small portions of its surface, like the area covered by a hiking map, can be approximated by flat maps, illustrating that curved surfaces can be manifolds in mathematics. "

虽然地球是弯曲的，但在局部来看，地球表面的一小部分，比如一张徒步地图所覆盖的区域，可以用平面地图来近似表示，这说明弯曲的表面在数学上可以是流形。

math space technical

Illustration manifolds - Image 1

noun

流形，多样体

A polygon mesh representing the continuous, closed surface of a solid object

Examples :

"The 3D printer creates objects by stacking layers of plastic based on the digital model's manifolds, ensuring a watertight and solid form. "

3d打印机通过基于数字模型的流形网格堆叠塑料层来创建物体，确保形成水密且坚固的形状。

technology computing math technical