Simplex

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SIMPLEX. Simple or single; as, charta simplex, is a deed-poll, of single deed. Jacob's L. Dict. h.t.

A Law Dictionary, Adapted to the Constitution and Laws of the United States. By John Bouvier. Published 1856.
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For each k-simplex it describes the boundary as a collection of k - 1 simplices. For example, the boundary of an edge consists of its two end points, the boundary of a triangle consists of its three edges (Figure 3).
The problem with the Cech construction is that it is computationally expensive as it requires the storage of simplices of various dimensions.
respectively On higher simplices the degeneracy maps are determined by the uniqueness of the filler for a given boundary.
(i) each polytopal element in [T.sub.i] is a union of simplices from [[XI].sub.i],
115: [much less than] Les gens qui parlent, dans la chretiente, ont conscience de porter la charge du salut de tous: du people tout entiere (populous) certes, mais plus specialement des plus humbles dans ce people (simplices, rudes, vulgus)...
We have been studying and developing systems for visualization of LiDAR data using simplices (points, triangles, and tetrahedrons) (Ghosh and Lohani 2007a, 2007b) and have also developed a heuristic to process, extract, and generalize LiDAR data for quick and effective visualization (Ghosh and Lohani 2011).
Define a simplicial complex K with vertices the maximal elements of P and with simplices those subsets with a common lower bound.
E non e infrequente che tale comando sia espresso in una simplice "lettera" firmata dal Prefetto e dal Segretario del dicasterio.
Superest ut jam de medio fiat daemonium meridianum ad seducendos si qui in Christo residui sunt, adhuc permanentes in simplicitate sua, Siquidem absorbuit fluvios sapientium, et torrentes potentium, et habet fiduciam ut Jordanis influat in os ejus (Job XL, 18), id est simplices et humiles qui sunt in Eclesia (P.L.
Eadem potentia in nobis est quae cognoscit simplices rerum quidditates, et quae format propositiones, et quae ratiocinatur: quorum unum proprium est rationis in quantum est ratio; allia duo possunt esse intellectus, in quantum est intellectus (29).
For simplicial branch and bound, the feasible region should be initially covered by simplices. The most preferable initial covering is face to face vertex triangulation--partitioning of the feasible region into finitely many n-dimensional simplices, whose vertices are also the vertices of the feasible region.
Let K denote the set of small n-dimensional simplices of [DELTA] constructed by partition.