What does SIMPLEX mean?
Definitions for SIMPLEX
ˈsɪm plɛkssim·plex
This dictionary definitions page includes all the possible meanings, example usage and translations of the word SIMPLEX.
Princeton's WordNet
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"
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'"
Wiktionary
simplexnoun
An analogue in any dimension of the triangle or tetrahedron: the convex hull of n+1 points in n-dimensional space.
simplexnoun
A simple word, one without affixes.
simplexadjective
Single, simple; not complex.
simplexadjective
unidirectional
Wikipedia
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.
ChatGPT
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.
Wikidata
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
Numerology
Chaldean Numerology
The numerical value of SIMPLEX in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of SIMPLEX in Pythagorean Numerology is: 8
Examples of SIMPLEX in a Sentence
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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Translations for SIMPLEX
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