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Definition. An open book decomposition of a 3-dimensional manifold M is a pair (B, π) where . B is an oriented link in M, called the binding of the open book;; π: M \ B → S 1 is a fibration of the complement of B such that for each θ ∈ S 1, π −1 (θ) is the interior of a compact surface Σ ⊂ M whose boundary is B.
OpenOffice was an open-sourced version of the earlier StarOffice, which Sun Microsystems acquired in 1999 for internal use. Sun open-sourced the OpenOffice suite in July 2000 as a competitor to Microsoft Office, [14] [15] releasing version 1.0 on 1 May 2002. [1]
Vector Packet Processing (VPP) platform is an extensible, open-source framework, which offers the functionality of network switches or routers. [1] V ector processing is the process of processing multiple packets at a time, with low latency.
In mathematics and physics, vector notation is a commonly used notation for representing vectors, [1] [2] which may be Euclidean vectors, or more generally, ...
Hundreds of distinct vector file formats have been created for GIS data over its history, including proprietary formats like the Esri file geodatabase, proprietary but public formats like the Shapefile and the original KML, open source formats like GeoJSON, and formats created by standards bodies like Simple Features and GML from the Open ...
The vector projection (also known as the vector component or vector resolution) of a vector a on (or onto) a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b. The projection of a onto b is often written as proj b a {\displaystyle \operatorname {proj} _{\mathbf {b} }\mathbf {a} } or a ∥ b .
Hierarchy of mathematical spaces. Normed vector spaces are a superset of inner product spaces and a subset of metric spaces, which in turn is a subset of topological spaces. In mathematics, a normed vector space or normed space is a vector space over the real or complex numbers on which a norm is defined. [1]
Vector bundle morphisms are a special case of the notion of a bundle map between fiber bundles, and are sometimes called (vector) bundle homomorphisms. A bundle homomorphism from E 1 to E 2 with an inverse which is also a bundle homomorphism (from E 2 to E 1) is called a (vector) bundle isomorphism, and then E 1 and E 2 are said to be ...
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