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Open Graph Protocol, enables web developers to integrate their pages into Facebook's social graph. Open Graphics Project , open source architecture and standard for graphics cards Open Government Partnership , an international organization launched in 2011
Open Graph Theorem — If : is a set-valued function with convex values and open upper sections, then has an open graph in if and only if is lower hemicontinuous. [ 2 ] Operations Preserving Hemicontinuity
A linear map : between two topological vector spaces (TVSs) is called a nearly open map (or sometimes, an almost open map) if for every neighborhood of the origin in the domain, the closure of its image is a neighborhood of the origin in . [18] Many authors use a different definition of "nearly/almost open map" that requires that the ...
The Graph API presents a simple, consistent view of the Facebook social graph, uniformly representing objects in the graph (e.g., people, photos, events, and pages) and the connections between them (e.g., friend relationships, shared content, and photo tags). [22] On April 30, 2015, Facebook shut down friends' data API prior to the v2.0 release ...
A graph or chart or diagram is a diagrammatical illustration of a set of data. If the graph is uploaded as an image file, it can be placed within articles just like any other image. Graphs must be accurate and convey information efficiently. They should be viewable at different computer screen resolutions.
The open mapping theorem points to the sharp difference between holomorphy and real-differentiability. On the real line , for example, the differentiable function f ( x ) = x 2 {\displaystyle f(x)=x^{2}} is not an open map, as the image of the open interval ( − 1 , 1 ) {\displaystyle (-1,1)} is the half-open interval [ 0 , 1 ) {\displaystyle ...
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Since the graph of is closed, for every point (, ′) on the "vertical line at x", with ′ (), draw an open rectangle ′ ′ disjoint from the graph of . These open rectangles, when projected to the y-axis, cover the y-axis except at f ( x ) {\displaystyle f(x)} , so add one more set V {\displaystyle V} .