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Informally, a flow may be viewed as a continuous motion of points over time. More formally, a flow is a group action of the real numbers on a set. The idea of a vector flow, that is, the flow determined by a vector field, occurs in the areas of differential topology, Riemannian geometry and Lie groups.
A non-cartographic flow map showing the relative percentages of cardiac output delivered to major organ systems. Beside the flow maps in cartography there are several other methods for visualizing non-geographic flow: Baker flow map of fluid flows; Blood flow maps, see history of neuroimaging; Flow map or solution operator, see random dynamical ...
The commutative diagram used in the proof of the five lemma. In mathematics, and especially in category theory, a commutative diagram is a diagram such that all directed paths in the diagram with the same start and endpoints lead to the same result. [1]
Blank political world map with blue oceans, fit to replace File:A large blank world map with oceans marked in blue.PNG. Date: 25 July 2006: Source: World Map Blank.svg: Author: Petr Dlouhý: Other versions: Derivative works of this file: Carte Coffea robusta arabic.svg; Hantaviren weltweit.svg; OttomanEmpireIn1683.png
An atlas for a topological space is an indexed family {(,):} of charts on which covers (that is, =).If for some fixed n, the image of each chart is an open subset of n-dimensional Euclidean space, then is said to be an n-dimensional manifold.
Flux F through a surface, dS is the differential vector area element, n is the unit normal to the surface. Left: No flux passes in the surface, the maximum amount flows normal to the surface.
The butterfly diagram show a data-flow diagram connecting the inputs x (left) to the outputs y that depend on them (right) for a "butterfly" step of a radix-2 Cooley–Tukey FFT algorithm. This diagram resembles a butterfly as in the Morpho butterfly shown for comparison, hence the name. A commutative diagram depicting the five lemma
A map : is called a closed map or a strongly closed map if it satisfies any of the following equivalent conditions: Definition: f : X → Y {\displaystyle f:X\to Y} maps closed subsets of its domain to closed subsets of its codomain; that is, for any closed subset C {\displaystyle C} of X , {\displaystyle X,} f ( C ) {\displaystyle f(C)} is a ...
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