The adjective is the word that accompanies the noun to determine or qualify it.
WHAT DOES SIMPLICIAL MEAN IN ENGLISH?
In geometry, a simplex is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions. Specifically, a k-simplex is a k-dimensional polytope which is the convex hull of its k + 1 vertices. More formally, suppose the k + 1 points are affinely independent, which means are linearly independent. Then, the simplex determined by them is the set of points. For example, a 2-simplex is a triangle, a 3-simplex is a tetrahedron, and a 4-simplex is a 5-cell. A single point may be considered a 0-simplex, and a line segment may be considered a 1-simplex. A simplex may be defined as the smallest convex set containing the given vertices. A regular simplex is a simplex that is also a regular polytope. A regular n-simplex may be constructed from a regular -simplex by connecting a new vertex to all original vertices by the common edge length. In topology and combinatorics, it is common to “glue together” simplices to form a simplicial complex.
The translations of simplicial from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «simplicial» in English.
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «simplicial».
FREQUENCY OF USE OF THE TERM «SIMPLICIAL» OVER TIME
The graph expresses the annual evolution of the frequency of use of the word «simplicial» during the past 500 years. Its implementation is based on analysing how often the term «simplicial» appears in digitalised printed sources in English between the year 1500 and the present day.
Examples of use in the English literature, quotes and news about simplicial
10 ENGLISH BOOKS RELATING TO «SIMPLICIAL»
Discover the use of simplicial in the following bibliographical selection. Books relating to simplicial and brief extracts from same to provide context of its use in English literature.
Simplicial Homotopy Theory
This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques.Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and ...
Paul G. Goerss, John F. Jardine, 2009
Simplicial Objects in Algebraic Topology
"Simplicial Objects in Algebraic Topology presents much of the elementary material of algebraic topology from the semi-simplicial viewpoint.
J. P. May, 1992
Simplicial Structures in Topology
Advanced undergraduate and beginning graduate students will benefit from this book. Researchers and professionals interested in topology and applications of mathematics will also find this book useful.
Davide L. Ferrario, Renzo A. Piccinini, 2010
Simplicial Complexes of Graphs
This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.
Jakob Jonsson, 2008
Simplicial Methods for Operads and Algebraic Geometry
This book is an introduction to two new topics in homotopy theory: Dendroidal Sets (by Ieke Moerdijk) and Derived Algebraic Geometry (by Bertrand Toën).
Ieke Moerdijk, Bertrand Toën, 2010
Simplicial Algorithms for Minimizing Polyhedral Functions
The key ideas are those of developing a general format for specifying the polyhedral function and the application of this to derive multiplier conditions to characterize optimality.
M. R. Osborne, 2001
Ramsey Regions and Simplicial Homology Tables for Graphs
Next the work with Ramsey Regions for graphs is translated into the language of hypergraphs. Theorems and techniques are reworked to fit appropriately into the setting of hypergraphs.
Christopher Austin Frederick, 2008
Encyclopedic Dictionary of Mathematics
If K is the simplicial complex defined by a Euclidean simplicial complex ft, then \K\
and |ft| are homeomorphic. When K is finite, there exists an Euclidean simplicial
complex ft whose simplicial complex is isomorphic to K. Accordingly | K | is ...
Kiyosi Itô, 1993
Torus Actions and Their Applications in Topology and ...
Basic PL topology, and operations with simplicial complexes For a detailed
exposition of PL (piecewise linear) topology we refer to the classical monographs
 by Hudson and  by Rourke and Sanderson. The role of PL category in
V. M. Buchstaber, Taras E. Panov
Simplicial algorithms on the simplotope
This monograph deals with simplicial algorithms on the unit simplex and on the simplotope.
Timothy Doup, 1988
2 NEWS ITEMS WHICH INCLUDE THE TERM «SIMPLICIAL»
Find out what the national and international press are talking about and how the term simplicial is used in the context of the following news items.
Will Computers Redefine the Roots of Math?
These include a new axiom, known as the univalence axiom, and a complete interpretation of MLTT in the language of simplicial sets, which (in addition to ... «Wired, Jun 15»
Alum Barry Minemyer to present at faculty seminar
Minemyer will speak on his Ph.D. thesis results in a talk titled "Simplicial Isometric Embeddings of a Finite Simplicial Complex into R^p_q." For more information ... «Penn State Altoona, Nov 12»
« EDUCALINGO. Simplicial [online]. Available <https://educalingo.com/en/dic-en/simplicial>. Nov 2022 ».