surface

A surface is a two-dimensional topological manifold.A closed surface is a surface without boundary.

A result called the “classification theorem” gives us a symbolic semantics, matching the geometrical view point, in terms of genera, orientability and number of boundary components. Together with the connected sum operation, they make available a powerful language to be explored and exploited.

As an example of a surface take $T=S^{1}\\times S^{1}$ the two torus, the boundary of a solid sugar donut shaped cake $D^{2}\\times S^{1}$ , where $S^{1}$ is the familiar modulus one complex numbers.

单词	Surface
释义	surface A surface is a two-dimensional topological manifold.A closed surface is a surface without boundary. A result called the “classification theorem” gives us a symbolic semantics, matching the geometrical view point, in terms of genera, orientability and number of boundary components. Together with the connected sum operation, they make available a powerful language to be explored and exploited. As an example of a surface take $T=S^{1}\\times S^{1}$ the two torus, the boundary of a solid sugar donut shaped cake $D^{2}\\times S^{1}$ , where $S^{1}$ is the familiar modulus one complex numbers.
随便看	converting between the Poincaré disc model and the upper half plane model ConvexAnalysis convex analysis ConvexAngle convex angle ConvexCombination convex combination ConvexFunction convex function ConvexFunctionsLieAboveTheirSupportingLines convex functions lie above their supporting lines ConvexHullOfSIsOpenIfSIsOpen convex hull of S is open if S is open ConvexityConjecture convexity conjecture ConvexityOfTangentFunction convexity of tangent function ConvexSet convex set ConvexSubgroup convex subgroup Convolution convolution convolution Convolution1