Inner Product

Domain	Definition
Computing	Inner product In linear algebra, any linear map from a vector space to its dual defines a product on the vector space: for u, v in V and linear g: V -> V' we have gu in V' so (gu): V -> scalars, whence (gu)(v) is a scalar, known as the inner product of u and v under g. If the value of this scalar is unchanged under interchange of u and v (i.e. (gu)(v) = (gv)(u)), we say the inner product, g, is symmetric. Attention is seldom paid to any other kind of inner product. An inner product, g: V -> V', is said to be positive definite iff, for all non-zero v in V, (gv)v > 0; likewise negative definite iff all such (gv)v < 0; positive semi-definite or non-negative definite iff all such (gv)v >= 0; negative semi-definite or non-positive definite iff all such (gv)v <= 0. Outside relativity, attention is seldom paid to any but positive definite inner products. Where only one inner product enters into discussion, it is generally elided in favour of some piece of syntactic sugar, like a big dot between the two vectors, and practitioners don't take much effort to distinguish between vectors and their duals. (1997-03-16). Source: The Free On-line Dictionary of Computing.
Aerospace	= scalar product. (references)
Source: compiled by the editor from various references; see credits.

Expression: Inner Product

Frequency of Internet Expressions: Inner Product

Modern Translation: Inner Product

Language		Translations for "inner product"; alternative meanings/domain in parentheses.
Danish		indre produkt af to vektorer (inner product of two vectors). (various references)

Dutch		inwendig produkt van twee vectoren (inner product of two vectors). (various references)

Finnish		kahden vektorin skalaaritulo (inner product of two vectors). (various references)

French		produit scalaire de deux vecteurs (inner product of two vectors). (various references)

German		inneres Produkt zweier Vektoren (inner product of two vectors). (various references)

Greek		εσωτερικό γινόμενο δύο διανυσμάτων (inner product of two vectors). (various references)

Italian		prodotto interno di due vettori (inner product of two vectors). (various references)

Japanese Kanji		内積 . (various references)

Japanese Katakana		ないせき. (various references)

Pig Latin		inneray oductpray.(various references)

Portuguese		produto interno de dois vectores (inner product of two vectors). (various references)

Spanish		producto interno de dos vectores (inner product of two vectors). (various references)

Swedish		inre produkt av två vektorer (inner product of two vectors), skalär produkt av två vektorer (inner product of two vectors). (various references)
Source: compiled by the editor from various translation references.

Anagrams: Inner Product

Scrabble® Enable2K-Verified Anagrams
	Words within the letters "c-d-e-i-n-n-o-p-r-r-t-u"
	-1 letter: incorrupted.
	-2 letters: introducer.
	-3 letters: centurion, continued, continuer, corrupted, incorrupt, incurrent, intercrop, introduce, neutronic, noncredit, outpriced, predictor, reduction, unnoticed.
	-4 letters: centroid, continue, cornuted, courtier, creditor, croupier, decurion, depictor, dipteron, director, doctrine, eduction, endpoint, entropic, eruption, inceptor, incurred, indentor, inductor, inpoured, intruder, inturned, irrupted, neuronic, neurotic, neutrino, nocturne, outcried, outprice, outrider, pictured, preunion, procured, producer, protrude.
	Words containing the letters "c-d-e-i-n-n-o-p-r-r-t-u"
	+2 letters: unincorporated.
	+3 letters: nonreproductive, underproduction.
	+4 letters: underproductions.
Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.

Expression	Frequency per Day
city inner product	5
inner product	2
Source: compiled by the editor from various references; see credits.

Definition: Inner Product

Expression using "inner product": inner product of two vectors. Additional references.
Source: compiled by the editor from various references; see credits.