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NET Terminology
Net or net may refer to: Mathematics and physics * Net (mathematics), a filter-like topological generalization of a sequence * Net, a linear system of divisors of dimension 2 * Net (polyhedron), an arrangement of polygons that can be folded up to form a polyhedron * An incidence structure consisting of points and parallel classes of lines * Operator algebras in Local quantum field theory Others * Net (command), an operating system command * Net (device), a grid-like device or object such as that used in fishing or sports, commonly made from woven fibers * ''Net'' (film), 2021 Indian thriller drama film * Net (textile), a textile in which the warp and weft yarns are looped or knotted at their intersections * Net (economics) (nett), the sum or difference of two or more economic variables ** Net income (nett), an entity's income minus cost of goods sold, expenses and taxes for an accounting period * In electronic design, a connection in a netlist * In computing, the Internet * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Net (mathematics)
In mathematics, more specifically in general topology and related branches, a net or Moore–Smith sequence is a generalization of the notion of a sequence. In essence, a sequence is a function whose domain is the natural numbers. The codomain of this function is usually some topological space. The motivation for generalizing the notion of a sequence is that, in the context of topology, sequences do not fully encode all information about functions between topological spaces. In particular, the following two conditions are, in general, not equivalent for a map f between topological spaces X and Y: #The map f is continuous in the topological sense; #Given any point x in X, and any sequence in X converging to x, the composition of f with this sequence converges to f(x) (continuous in the sequential sense). While it is necessarily true that condition 1 implies condition 2 (The truth of the condition 1 ensures the truth of the conditions 2.), the reverse implication is not nece ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |