管道系统中manifold怎么翻译? 看看这个解释，会有更深的理解。 manifold from wikipedia, the free encyclopedia jump to: navigation, search on a sphere, the sum of the angles of a ** is not equal to 180° (see spherical trigonometry). a sphere is not a euclidean space, but locally the laws of euclidean geometry are good approximations. in a small ** on the face of the earth, the sum of the angles is very nearly 180°. a sphere can be represented by a collection of two dimensional maps, therefore a sphere is a manifold.for other uses, see manifold (disambiguation). a manifold is an abstract mathematical space in which every point has a neighborhood which resembles euclidean space, but in which the global structure may be more complicated. in discussing manifolds, the idea of dimension is important. for example, lines are one-dimensional, and planes two-dimensional. in a one-dimensional manifold (or one-manifold), every point has a neighborhood that looks like a segment of a line. examples of one-manifolds include a line, a circle, and two separate circles. in a two-manifold, every point has a neighborhood that looks like a disk. examples include a plane, the su**ce of a sphere, and the su**ce of a torus. manifolds are important objects in mathematics and physics because they allow more complicated structures to be expressed and understood in terms of the relatively well-understood properties of **r spaces. additional structures are often defined on manifolds. examples of manifolds with additional structure include differentiable manifolds on which one can do calculus, riemannian manifolds on which distances and angles can be defined, symplectic manifolds which serve as the phase space in classical mechanics, and the four-dimensional pseudo-riemannian manifolds which model space-time in general relativity. a precise mathematical definition of a manifold is given below. to fully understand the mathematics behind manifolds, it is necessary to know elementary concepts regarding sets and functions, and helpful to have a working knowledge of calculus and topology.查看更多
第1天
关注盖德视界
添加小助手
