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单词 simplex
释义

simplex


sim·plex

S0418900 (sĭm′plĕks′)adj.1. Consisting of or marked by only one part or element.2. Of or relating to a telecommunications system in which only one message can be sent in either direction at one time.n. pl. sim·plex·es or sim·pli·ces (-plĭ-sēz′) 1. Mathematics A Euclidean geometric spatial element having the minimum number of boundary points, such as a line segment in one-dimensional space, a triangle in two-dimensional space, or a tetrahedron in three-dimensional space.2. Linguistics A word that has no affixes and is not part of a compound; a simple word.
[Latin, simple; see sem- in Indo-European roots.]

simplex

(ˈsɪmplɛks) adj (Telecommunications) permitting the transmission of signals in only one direction in a radio circuit, etc. Compare duplexn, pl simplexes or simplicia (sɪmˈplɪʃə) 1. (Linguistics) linguistics a simple not a compound word2. (Mathematics) geometry the most elementary geometric figure in Euclidean space of a given dimension; a line segment in one-dimensional space or a triangle in two-dimensional space[C16: from Latin: simple, literally: one-fold, from sim- one + plex, from plicāre to fold; compare duplex]

sim•plex

(ˈsɪm plɛks)

adj. 1. consisting of or characterized by a single element; simple. 2. of or designating a telecommunications system permitting communication in only one direction at a time. [1585–95; < Latin: having a single layer, literally, one-fold]
Thesaurus
Adj.1.simplex - allowing communication in only one direction at a time, or in telegraphy allowing only one message over a line at a time; "simplex system"telecom, telecommunication - (often plural) systems used in transmitting messages over a distance electronicallyunidirectional - operating or moving or allowing movement in one direction only; "a unidirectional flow"; "a unidirectional antenna"; "a unidirectional approach to a problem"
2.simplex - 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'"simple - having few parts; not complex or complicated or involved; "a simple problem"; "simple mechanisms"; "a simple design"; "a simple substance"
Translations

simplex


simplex

[′sim‚pleks] (mathematics) An n-dimensional simplex in a euclidean space consists of n + 1 linearly independent points p0, p1,…, pn together with all line segments a0 p0+ a1 p1+ ⋯ + an pn where the ai ≥ 0 and a0+ a1+ ⋯ + an = 1; a triangle with its interior and a tetrahedron with its interior are examples. (quantum mechanics) The eigenvalue of a nucleus or other object with an octupole (pear) shape under an operation consisting of rotation through 180° about an axis perpendicular to the symmetry axis, followed by inversion.

Simplex

 

a method of two-way communication wherein, at each communication station, transmission alternates with reception.


Simplex

 

in mathematics, the simplest convex polyhedron of some given dimension n. When n = 3, we have a three-dimensional simplex, which is a tetrahedron; the tetrahedron may be irregular. A two-dimensional simplex is a triangle, a one-dimensional simplex is a line segment, and a zero-dimensional simplex is a point.

An n-dimensional simplex has n + 1 vertices, which do not belong to any (n - 1)-dimensional subspace of the Euclidean space (of dimension at least n) in which the simplex lies. Conversely, any n + 1 points of a Euclidean m-dimensional space Rm, mn, that do not lie in a subspace of dimension less than n uniquely determine an n-dimensional simplex with vertices at the given points e0, e1, • • •, en. This simplex can be defined as the convex closure of the set of the given n + 1 points—that is, as the intersection of all convex polyhedra of Rm that contain the points.

If a system of Cartesian coordinates x1, x2, • • •, xm is defined in Rm such that the vertex ei, i = 0, 1, • • •, n, has the coordinates Simplex, then the simplex with the vertices e0, e1, • • •, en consists of all points of Rm whose coordinates are of the form

where μ(0), μ(1) •••, μ(n) are arbitrary nonnegative numbers whose sum is 1. By analogy with the case where n ≤ 3, we can say that all points of a simplex with given vertices are obtained if we place arbitrary nonnegative masses (not all of which are zero) at the vertices and determine the center of gravity of these masses. It should be noted that the requirement that the sum of the masses be equal to 1 eliminates only the case where all the masses are zero.

Any r + 1 vertices, 0 ≤ r ≤ n − 1, selected from the given n + 1 vertices of an n-dimensional simplex determine an r-dimensional simplex, which is called a face of the original simplex. The zero-dimensional faces of a simplex are its vertices; the one-dimensional faces are called its edges.

REFERENCES

Aleksandrov, P. S. Kombinatornaia topologiia. Moscow-Leningrad, 1947.
Pontriagin, L. S. Osnovy kombinatornoi topologii. Moscow-Leningrad, 1947. Pages 23–31.

simplex

(communications)Used to describe a communications channelthat can only ever carry a signal in one direction, like aone-way street. Television is an example of (broadcast)simplex communication.

Opposite: duplex.

simplex

(algorithm)The simplex method.

simplex

One way transmission. Contrast with half-duplex and full-duplex.

Simplex


Related to Simplex: Simplex method, Simplex algorithm, Simplex communication

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

SIMPLEX


AcronymDefinition
SIMPLEXShuttle Ionospheric Modification with Pulsed Localized Exhaust

See SPX

simplex


Related to simplex: Simplex method, Simplex algorithm, Simplex communication
  • adj

Words related to simplex

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

Related Words

  • telecom
  • telecommunication
  • unidirectional

adj having only one part or element

Related Words

  • simple
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