Definitions for SIMPLEX
ˈsɪm plɛkssim·plex

Princeton's WordNetRate this definition:0.0 / 0 votes

1. simplexadjective

   allowing communication in only one direction at a time, or in telegraphy allowing only one message over a line at a time

   "simplex system"

2. simplexadjective

   having only one part or element

   "a simplex word has no affixes and is not part of a compound--like `boy' compared with `boyish' or `house' compared with `houseboat'"

WiktionaryRate this definition:0.0 / 0 votes

1. simplexnoun

   An analogue in any dimension of the triangle or tetrahedron: the convex hull of n+1 points in n-dimensional space.

2. simplexnoun

   A simple word, one without affixes.

3. simplexadjective

   Single, simple; not complex.

4. simplexadjective

   unidirectional

WikipediaRate this definition:0.0 / 0 votes

1. Simplex

   In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions. The simplex is so-named because it represents the simplest possible polytope in any given dimension. For example, a 0-dimensional simplex is a point, a 1-dimensional simplex is a line segment, a 2-dimensional simplex is a triangle, a 3-dimensional simplex is a tetrahedron, and a 4-dimensional simplex is a 5-cell.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 u 0 , … , u k {\displaystyle u_{0},\dots ,u_{k}} are affinely independent, which means that the k vectors u 1 − u 0 , … , u k − u 0 {\displaystyle u_{1}-u_{0},\dots ,u_{k}-u_{0}} are linearly independent. Then, the simplex determined by them is the set of points A regular simplex is a simplex that is also a regular polytope. A regular k-simplex may be constructed from a regular (k − 1)-simplex by connecting a new vertex to all original vertices by the common edge length. The standard simplex or probability simplex is the k − 1 dimensional simplex whose vertices are the k standard unit vectors in R k {\displaystyle \mathbb {R} ^{k}} , or in other words In topology and combinatorics, it is common to "glue together" simplices to form a simplicial complex. The associated combinatorial structure is called an abstract simplicial complex, in which context the word "simplex" simply means any finite set of vertices.

ChatGPTRate this definition:0.0 / 0 votes

1. simplex

   In mathematics, a simplex is a generalization of the concept of a triangle or tetrahedron to higher dimensions. Specifically, an n-simplex is a type of n-dimensional polytope in Euclidean space. For instance, a 0-simplex is a point, a 1-simplex is a line segment, a 2-simplex is a triangle, a 3-simplex is a tetrahedron, and so forth.

WikidataRate this definition:0.0 / 0 votes

1. Simplex

   In geometry, a simplex is a generalization of the notion of a triangle or tetrahedron to arbitrary dimension. 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 associated combinatorial structure is called an abstract simplicial complex, in which context the word “simplex” simply means any finite set of vertices.

Matched Categories

1. • Telecommunication

How to pronounce SIMPLEX?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say SIMPLEX in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of SIMPLEX in Chaldean Numerology is: 2

2. Pythagorean Numerology

   The numerical value of SIMPLEX in Pythagorean Numerology is: 8

Examples of SIMPLEX in a Sentence

1. Sami Gottlieb:

   We really need to accelerate the development of vaccines against herpes simplex virus, and if a vaccine designed to prevent HSV-2 infection also prevented HSV-1, it would have far reaching benefits.

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=SIMPLEX
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Simplex
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Simplex
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=SIMPLEX