Synonymer & Anagram | Engelska ordet SIMPLICES

Exempel på hur man kan använda SIMPLICES i en mening

• In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
• For instance, a simplicial 2-complex must contain at least one triangle, and must not contain any tetrahedra or higher-dimensional simplices.
• The hexagram is part of an infinite series of shapes which are compounds of two n-dimensional simplices.
• The general continuous mapping between such spaces can be represented approximately by the type of mapping that is (affine-) linear on each simplex into another simplex, at the cost (i) of sufficient barycentric subdivision of the simplices of the domain, and (ii) replacement of the actual mapping by a homotopic one.
• One can ask if there is an analogous way to replace the continuous functions defined on the topological spaces by functions that are linear on the simplices and which are homotopic to the original maps (see also simplicial approximation).
• The fundamental class can be thought of as the orientation of the top-dimensional simplices of a suitable triangulation of the manifold.
• For an arbitrary, unstructured mesh (as used in finite element analysis), other methods of interpolation must be used; if all the mesh elements are tetrahedra (3D simplices), then barycentric coordinates provide a straightforward procedure.
• An abstract simplicial complex is a combinatorial abstraction of the notion of a simplicial complex, a shape formed by unions of line segments, triangles, tetrahedra, and higher-dimensional simplices, joined face to face.
• Another question about an arrangement in real space is to decide how many regions are simplices (the n-dimensional generalization of triangles and tetrahedra).
• The starting point for Regge's work is the fact that every four dimensional time orientable Lorentzian manifold admits a triangulation into simplices.
• Whereas previous attempts at triangulation of quantum spaces have produced jumbled universes with far too many dimensions, or minimal universes with too few, CDT avoids this problem by allowing only those configurations in which the timelines of all joined edges of simplices agree.
• The litterae apostolicae are further divided into litterae apostolicae simplices or brevetti, chirographa, encyclicae (encyclicals) and motus proprii.
• The hall motto comes from , "Estote ergo prudentes sicut serpentes, et simplices sicut columbae", (be as wise as serpents and as innocent as doves).
• A shellable complex may admit many different shellings, but the number of spanning simplices and their dimensions do not depend on the choice of shelling.
• Some properties of Heegaard splittings can be read very efficiently off the relative positions of the simplices:.
• The barycentric subdivision is a derived subdivision where the points used for starring are always barycenters of simplices.

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