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Meaning of "simplicial" in the English dictionary

Dictionary
DICTIONARY
section

PRONUNCIATION OF SIMPLICIAL

simplicial  [sɪmˈplɪʃəl] play
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GRAMMATICAL CATEGORY OF SIMPLICIAL

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Simplicial is an adjective.
The adjective is the word that accompanies the noun to determine or qualify it.

WHAT DOES SIMPLICIAL MEAN IN ENGLISH?

Simplex

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.

Definition of simplicial in the English dictionary

The definition of simplicial in the dictionary is relating to simplexes.

WORDS THAT RHYME WITH SIMPLICIAL


artificial
ˌɑːtɪˈfɪʃəl
beneficial
ˌbɛnɪˈfɪʃəl
cardinalitial
ˌkɑːdɪnəˈlɪʃəl
extrajudicial
ˌɛkstrədʒuːˈdɪʃəl
facial
ˈfeɪʃəl
gentilitial
ˌdʒɛntɪˈlɪʃəl
geospatial
ˌdʒiːəʊˈspeɪʃəl
initial
ɪˈnɪʃəl
interracial
ˌɪntəˈreɪʃəl
interstitial
ˌɪntəˈstɪʃəl
judicial
dʒuːˈdɪʃəl
maxillofacial
mækˌsɪləʊˈfeɪʃəl
natalitial
ˌneɪtəˈlɪʃəl
official
əˈfɪʃəl
prejudicial
ˌprɛdʒʊˈdɪʃəl
racial
ˈreɪʃəl
sacrificial
ˌsækrɪˈfɪʃəl
spatial
ˈspeɪʃəl
superficial
ˌsuːpəˈfɪʃəl
unofficial
ˌʌnəˈfɪʃəl

WORDS THAT BEGIN LIKE SIMPLICIAL

simplesse
simpleton
simplex
simplicially
simplicidentate
simpliciter
simplicity
simplifiable
simplification
simplificative
simplificator
simplified
simplifier
simplifies
simplify
simplism
simplist
simpliste
simplistic
simplistically

WORDS THAT END LIKE SIMPLICIAL

altricial
carnificial
cicatricial
commercial
customs official
elected official
inartificial
indicial
injudicial
maleficial
nonjudicial
nonofficial
orificial
party official
quasi-judicial
rectricial
semiofficial
surficial
tectricial
unartificial
unbeneficial

Synonyms and antonyms of simplicial in the English dictionary of synonyms

SYNONYMS

Translation of «simplicial» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF SIMPLICIAL

Find out the translation of simplicial to 25 languages with our English multilingual translator.
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.

Translator English - Chinese

单纯
1,325 millions of speakers

Translator English - Spanish

simplicial
570 millions of speakers

English

simplicial
510 millions of speakers

Translator English - Hindi

simplicial
380 millions of speakers
ar

Translator English - Arabic

simplicial
280 millions of speakers

Translator English - Russian

симплициальная
278 millions of speakers

Translator English - Portuguese

simplicial
270 millions of speakers

Translator English - Bengali

simplicial
260 millions of speakers

Translator English - French

simplicial
220 millions of speakers

Translator English - Malay

Mudah
190 millions of speakers

Translator English - German

simplizialen
180 millions of speakers

Translator English - Japanese

単体の
130 millions of speakers

Translator English - Korean

단체적
85 millions of speakers

Translator English - Javanese

Sederhana
85 millions of speakers
vi

Translator English - Vietnamese

đơn hình
80 millions of speakers

Translator English - Tamil

simplicial
75 millions of speakers

Translator English - Marathi

साधा
75 millions of speakers

Translator English - Turkish

simplicial
70 millions of speakers

Translator English - Italian

simpliciale
65 millions of speakers

Translator English - Polish

simplicial
50 millions of speakers

Translator English - Ukrainian

симпліціального
40 millions of speakers

Translator English - Romanian

simplicial
30 millions of speakers
el

Translator English - Greek

simplicial
15 millions of speakers
af

Translator English - Afrikaans

simplicial
14 millions of speakers
sv

Translator English - Swedish

simplicial
10 millions of speakers
no

Translator English - Norwegian

simplisiell
5 millions of speakers

Trends of use of simplicial

TRENDS

TENDENCIES OF USE OF THE TERM «SIMPLICIAL»

The term «simplicial» is regularly used and occupies the 89.426 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
58
/100
The map shown above gives the frequency of use of the term «simplicial» in the different countries.
Principal search tendencies and common uses of simplicial
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

EXAMPLES

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.
1
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
2
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
3
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
4
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
5
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
6
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
7
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
8
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
9
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 [77] by Hudson and [118] by Rourke and Sanderson. The role of PL category in the ...
V. M. Buchstaber, Taras E. Panov
10
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.
1
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»
2
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»

REFERENCE
« EDUCALINGO. Simplicial [online]. Available <https://educalingo.com/en/dic-en/simplicial>. Nov 2022 ».
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