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In mathematics, a collocation method is a method for the numerical solution of ordinary differential equations, partial differential equations and integral equations.The idea is to choose a finite-dimensional space of candidate solutions (usually polynomials up to a certain degree) and a number of points in the domain (called collocation points), and to select that solution which satisfies the ...
The elongated square gyrobicupola can be constructed similarly to the rhombicuboctahedron, by attaching two regular square cupolas onto the bases of an octagonal prism, a process known as elongation. The difference between these two polyhedrons is that one of the two square cupolas is twisted by 45 degrees, a process known as gyration , making ...
Rather than select a single definition, Gledhill [3] proposes that collocation involves at least three different perspectives: co-occurrence, a statistical view, which sees collocation as the recurrent appearance in a text of a node and its collocates; [4] [5] [6] construction, which sees collocation either as a correlation between a lexeme and ...
Coxeter, Longuet-Higgins & Miller (1954) define uniform polyhedra to be vertex-transitive polyhedra with regular faces. They define a polyhedron to be a finite set of polygons such that each side of a polygon is a side of just one other polygon, such that no non-empty proper subset of the polygons has the same property.
A square antiprismatic prism or square antiduoprism is a convex uniform 4-polytope. It is formed as two parallel square antiprisms connected by cubes and triangular prisms. The symmetry of a square antiprismatic prism is [8,2 +,2], order 32. It has 16 triangle, 16 square and 4 square faces. It has 40 edges, and 16 vertices.
Colocation centre, a data center where companies can rent equipment, space, and bandwidth for computing services, known as colocation services; Collocation, in corpus linguistics, a sequence of words that often occur together Collocation, a sub-type of phraseme; Collocation method, used in mathematics to solve differential and integral equations
The heptagonal prism is a uniform polyhedron, with two regular heptagon faces and seven square faces. The octagonal pyramid has eight isosceles triangular faces around a regular octagonal base. Two more enneahedra are also found among the Johnson solids: the elongated square pyramid and the elongated triangular bipyramid.
A subset F of a polyhedron P is called a face of P if there is a halfspace H (defined by some inequality a 1 T x ≤ b 1) such that H contains P and F is the intersection of H and P. [3]: 9 If a face contains a single point {v}, then v is called a vertex of P. If a face F is nonempty and n-1 dimensional, then F is called a facet of P.