Search results
Results from the WOW.Com Content Network
Let = (,) be a graph (or directed graph) containing an edge = (,) with .Let be a function that maps every vertex in {,} to itself, and otherwise, maps it to a new vertex .The contraction of results in a new graph ′ = (′, ′), where ′ = ({,}) {}, ′ = {}, and for every , ′ = ′ is incident to an edge ′ ′ if and only if, the corresponding edge, is incident to in .
The following are important identities in vector algebra.Identities that only involve the magnitude of a vector ‖ ‖ and the dot product (scalar product) of two vectors A·B, apply to vectors in any dimension, while identities that use the cross product (vector product) A×B only apply in three dimensions, since the cross product is only defined there.
Another method of deriving vector and tensor derivative identities is to replace all occurrences of a vector in an algebraic identity by the del operator, provided that no variable occurs both inside and outside the scope of an operator or both inside the scope of one operator in a term and outside the scope of another operator in the same term ...
Vector calculus or vector analysis is a branch of mathematics concerned with the differentiation and integration of vector fields, primarily in three-dimensional Euclidean space, . [1] The term vector calculus is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial differentiation and multiple integration.
Alabama came into Sunday's rankings with a 9-3 overall but a 5-3 record in SEC play, with two of those losses coming against then-unranked Vanderbilt and unranked Oklahoma. The only "ranked" loss ...
Colin Jost couldn't correctly answer a question about wife Scarlett Johansson when he played a round of "Pop Culture Jeopardy!" on the TODAY Show Dec. 3.
From any polyhedron one can form a graph, by letting the vertices of the graph correspond to the vertices of the polyhedron and by connecting any two graph vertices by an edge whenever the corresponding two polyhedron vertices are the endpoints of an edge of the polyhedron. This graph is known as the skeleton of the polyhedron. [7]
Anthony Edwards scored 21 points on 7-for-21 shooting to help the Minnesota Timberwolves stop a four-game losing streak by holding off the Los Angeles Clippers 93-92 in an NBA Cup game Friday night.