viritelmä

viritelmä (nominative singular)
viritelmät (nominative plural)
viritelmä (accusative nominative singular)
viritelmät (accusative nominative plural)
viritelmän (accusative genitive singular)
viritelmät (accusative genitive plural)
viritelmän (genitive singular)
viritelmien (genitive plural)
viritelmäin (genitive plural rare)
viritelmää (partitive singular)
viritelmiä (partitive plural)
viritelmässä (inessive singular)
viritelmissä (inessive plural)
viritelmästä (elative singular)
viritelmistä (elative plural)
viritelmään (illative singular)
viritelmiin (illative plural)
viritelmällä (adessive singular)
viritelmillä (adessive plural)
viritelmältä (ablative singular)
viritelmiltä (ablative plural)
viritelmälle (allative singular)
viritelmille (allative plural)
viritelmänä (essive singular)
viritelminä (essive plural)
viritelmäksi (singular translative)
viritelmiksi (plural translative)
viritelmättä (abessive singular)
viritelmittä (abessive plural)
viritelmin (instructive plural)
See the possessive forms below. (comitative)
viritelmäni (nominative singular)
viritelmäni (nominative plural)
viritelmäni (accusative nominative singular)
viritelmäni (accusative nominative plural)
viritelmäni (accusative genitive singular)
viritelmäni (accusative genitive plural)
viritelmäni (genitive singular)
viritelmieni (genitive plural)
viritelmäini (genitive plural rare)
viritelmääni (partitive singular)
viritelmiäni (partitive plural)
viritelmässäni (inessive singular)
viritelmissäni (inessive plural)
viritelmästäni (elative singular)
viritelmistäni (elative plural)
viritelmääni (illative singular)
viritelmiini (illative plural)
viritelmälläni (adessive singular)
viritelmilläni (adessive plural)
viritelmältäni (ablative singular)
viritelmiltäni (ablative plural)
viritelmälleni (allative singular)
viritelmilleni (allative plural)
viritelmänäni (essive singular)
viritelminäni (essive plural)
viritelmäkseni (singular translative)
viritelmikseni (plural translative)
viritelmättäni (abessive singular)
viritelmittäni (abessive plural)
viritelmineni (comitative plural)
viritelmäsi (nominative singular)
viritelmäsi (nominative plural)
viritelmäsi (accusative nominative singular)
viritelmäsi (accusative nominative plural)
viritelmäsi (accusative genitive singular)
viritelmäsi (accusative genitive plural)
viritelmäsi (genitive singular)
viritelmiesi (genitive plural)
viritelmäisi (genitive plural rare)
viritelmääsi (partitive singular)
viritelmiäsi (partitive plural)
viritelmässäsi (inessive singular)
viritelmissäsi (inessive plural)
viritelmästäsi (elative singular)
viritelmistäsi (elative plural)
viritelmääsi (illative singular)
viritelmiisi (illative plural)
viritelmälläsi (adessive singular)
viritelmilläsi (adessive plural)
viritelmältäsi (ablative singular)
viritelmiltäsi (ablative plural)
viritelmällesi (allative singular)
viritelmillesi (allative plural)
viritelmänäsi (essive singular)
viritelminäsi (essive plural)
viritelmäksesi (singular translative)
viritelmiksesi (plural translative)
viritelmättäsi (abessive singular)
viritelmittäsi (abessive plural)
viritelminesi (comitative plural)
viritelmämme (nominative singular)
viritelmämme (nominative plural)
viritelmämme (accusative nominative singular)
viritelmämme (accusative nominative plural)
viritelmämme (accusative genitive singular)
viritelmämme (accusative genitive plural)
viritelmämme (genitive singular)
viritelmiemme (genitive plural)
viritelmäimme (genitive plural rare)
viritelmäämme (partitive singular)
viritelmiämme (partitive plural)
viritelmässämme (inessive singular)
viritelmissämme (inessive plural)
viritelmästämme (elative singular)
viritelmistämme (elative plural)
viritelmäämme (illative singular)
viritelmiimme (illative plural)
viritelmällämme (adessive singular)
viritelmillämme (adessive plural)
viritelmältämme (ablative singular)
viritelmiltämme (ablative plural)
viritelmällemme (allative singular)
viritelmillemme (allative plural)
viritelmänämme (essive singular)
viritelminämme (essive plural)
viritelmäksemme (singular translative)
viritelmiksemme (plural translative)
viritelmättämme (abessive singular)
viritelmittämme (abessive plural)
viritelminemme (comitative plural)
viritelmänne (nominative singular)
viritelmänne (nominative plural)
viritelmänne (accusative nominative singular)
viritelmänne (accusative nominative plural)
viritelmänne (accusative genitive singular)
viritelmänne (accusative genitive plural)
viritelmänne (genitive singular)
viritelmienne (genitive plural)
viritelmäinne (genitive plural rare)
viritelmäänne (partitive singular)
viritelmiänne (partitive plural)
viritelmässänne (inessive singular)
viritelmissänne (inessive plural)
viritelmästänne (elative singular)
viritelmistänne (elative plural)
viritelmäänne (illative singular)
viritelmiinne (illative plural)
viritelmällänne (adessive singular)
viritelmillänne (adessive plural)
viritelmältänne (ablative singular)
viritelmiltänne (ablative plural)
viritelmällenne (allative singular)
viritelmillenne (allative plural)
viritelmänänne (essive singular)
viritelminänne (essive plural)
viritelmäksenne (singular translative)
viritelmiksenne (plural translative)
viritelmättänne (abessive singular)
viritelmittänne (abessive plural)
viritelminenne (comitative plural)
viritelmänsä (nominative singular)
viritelmänsä (nominative plural)
viritelmänsä (accusative nominative singular)
viritelmänsä (accusative nominative plural)
viritelmänsä (accusative genitive singular)
viritelmänsä (accusative genitive plural)
viritelmänsä (genitive singular)
viritelmiensä (genitive plural)
viritelmäinsä (genitive plural rare)
viritelmäänsä (partitive singular)
viritelmiään (partitive plural)
viritelmiänsä (partitive plural)
viritelmässään (inessive singular)
viritelmässänsä (inessive singular)
viritelmissään (inessive plural)
viritelmissänsä (inessive plural)
viritelmästään (elative singular)
viritelmästänsä (elative singular)
viritelmistään (elative plural)
viritelmistänsä (elative plural)
viritelmäänsä (illative singular)
viritelmiinsä (illative plural)
viritelmällään (adessive singular)
viritelmällänsä (adessive singular)
viritelmillään (adessive plural)
viritelmillänsä (adessive plural)
viritelmältään (ablative singular)
viritelmältänsä (ablative singular)
viritelmiltään (ablative plural)
viritelmiltänsä (ablative plural)
viritelmälleen (allative singular)
viritelmällensä (allative singular)
viritelmilleen (allative plural)
viritelmillensä (allative plural)
viritelmänään (essive singular)
viritelmänänsä (essive singular)
viritelminään (essive plural)
viritelminänsä (essive plural)
viritelmäkseen (singular translative)
viritelmäksensä (singular translative)
viritelmikseen (plural translative)
viritelmiksensä (plural translative)
viritelmättään (abessive singular)
viritelmättänsä (abessive singular)
viritelmittään (abessive plural)
viritelmittänsä (abessive plural)
viritelmineen (comitative plural)
viritelminensä (comitative plural)


cross term

(linear algebra) In a quadratic form, a term which is not a squared variable; i.e., a term with more than one variable.


власний

uk-adj

вла́сний • (vlásnyj)

вла́сний (canonical)
vlásnyj (romanization)
вла́сний (masculine nominative singular)
вла́сне (neuter nominative singular)
вла́сна (feminine nominative singular)
вла́сні (nominative plural)
вла́сного (genitive masculine neuter singular)
вла́сної (feminine genitive singular)
вла́сних (genitive plural)
вла́сному (dative masculine neuter singular)
вла́сній (dative feminine singular)
вла́сним (dative plural)
вла́сного (accusative animate masculine singular)
вла́сне (accusative neuter singular)
вла́сну (accusative feminine singular)
вла́сних (accusative animate plural)
вла́сний (accusative inanimate masculine singular)
вла́сні (accusative inanimate plural)
вла́сним (instrumental masculine neuter singular)
вла́сною (feminine instrumental singular)
вла́сними (instrumental plural)
вла́сному (locative masculine neuter singular)
вла́снім (locative masculine neuter singular)
вла́сній (feminine locative singular)
вла́сних (locative plural)
вла́сний (masculine singular vocative)
вла́сне (neuter singular vocative)
вла́сна (feminine singular vocative)
вла́сні (plural vocative)

Uk-власний.ogg

From Polish własny (“own”), from Old Czech vlastní, from Proto-Slavic *volstьnъ. By surface analysis, власть (vlastʹ) + -ний (-nyj). Doublet of волосни́й (volosnýj).


anti-diagonal

(linear algebra) Alternative spelling of antidiagonal.


đồng dạng

[ʔɗəwŋ͡m˨˩ zaːŋ˧˨ʔ]

[ʔɗəwŋ͡m˦˩ jaːŋ˨˩ʔ]

[ʔɗəwŋ͡m˨˩ jaːŋ˨˩˨]

Sino-Vietnamese word from 同樣, composed of 同 (“same”) and 樣 (“form”).


field of scalars

en-noun

field of scalars (plural fields of scalars)


multilinear form

multilinear form (plural multilinear forms)

forme multilinéaire

multiply linear mapping to a field of scalars

1985, Jack Peetre, Paracommutators and Minimal Spaces, S. C. Power (editor) Operators and Function Theory, Kluwer Academic (D. Reidel), page 163,
Finally, in the short Lecture 5 we make some remarks on multilinear forms over Hilbert spaces, a theory which is still in a rather embryonic state, motivated by the observation that paracommutators (and Hankel operators too) really should be viewed as forms, not operators.

1994, Hessam Khoshnevisan, Mohamad Afshar, Mechanical Elimination of Commutative Redundancy, Baudouin Le Charlier (editor), Static Analysis: 1st International Static Analysis Symposium, Proceedings, Volume 1, Springer, LNCS 864, page 454,
A multilinear form is said to be degenerate if all its function variables are identical. Thus a degenerate m-multilinear form can more concisely be written as M!f.

Since the coordinates of a vector change in transforming to a new basis, the same is true of the coefficients of a multilinear form (since the form itself is to remain invariant).

2003, Maks A. Akivis, Vladislav V. Goldberg, translated by Vladislav V. Goldberg, Tensor Calculus with Applications, World Scientific, page 55:

(linear algebra, multilinear algebra) Given a vector space V over a field K of scalars, a mapping Vᵏ → K that is linear in each of its arguments;

Given a vector space V over a field K of scalars, a mapping Vᵏ → K that is linear in each of its arguments;
(more generally) a similarly multiply linear mapping Mʳ → R defined for a given module M over some commutative ring R.


vô hướng

[vo˧˧ hɨəŋ˧˦]

[vow˧˧ hɨəŋ˦˧˥]

[vow˧˧ hɨəŋ˦˥]

[jow˧˧ hɨəŋ˦˥]

Sino-Vietnamese word from 無向 (“directionless”), because non-vectors are directionless.


numerical linear algebra

(computing) The study of numerical analysis algorithms to solve mathematical problems in the field of linear algebra.

numerical linear algebra
simple:numerical linear algebra


oinarri

oinarri (absolutive indefinite)
oinarria (absolutive indefinite singular)
oinarriak (absolutive indefinite plural)
oinarrik (ergative indefinite)
oinarriak (ergative indefinite singular)
oinarriek (ergative indefinite plural)
oinarriri (dative indefinite)
oinarriari (dative indefinite singular)
oinarriei (dative indefinite plural)
oinarriren (genitive indefinite)
oinarriaren (genitive indefinite singular)
oinarrien (genitive indefinite plural)
oinarrirekin (comitative indefinite)
oinarriarekin (comitative indefinite singular)
oinarriekin (comitative indefinite plural)
oinarrirengatik (causative indefinite)
oinarriarengatik (causative indefinite singular)
oinarriengatik (causative indefinite plural)
oinarrirentzat (benefactive indefinite)
oinarriarentzat (benefactive indefinite singular)
oinarrientzat (benefactive indefinite plural)
oinarriz (indefinite instrumental)
oinarriaz (indefinite instrumental singular)
oinarriez (indefinite instrumental plural)
oinarritan (indefinite inessive)
oinarrian (indefinite inessive singular)
oinarrietan (indefinite inessive plural)
oinarritako (indefinite locative)
oinarriko (indefinite locative singular)
oinarrietako (indefinite locative plural)
oinarritara (allative indefinite)
oinarrira (allative indefinite singular)
oinarrietara (allative indefinite plural)
oinarritaraino (indefinite terminative)
oinarriraino (indefinite singular terminative)
oinarrietaraino (indefinite plural terminative)
oinarritarantz (directive indefinite)
oinarrirantz (directive indefinite singular)
oinarrietarantz (directive indefinite plural)
oinarritarako (destinative indefinite)
oinarrirako (destinative indefinite singular)
oinarrietarako (destinative indefinite plural)
oinarritatik (ablative indefinite)
oinarritik (ablative indefinite singular)
oinarrietatik (ablative indefinite plural)
oinarririk (indefinite partitive)
oinarritzat (indefinite prolative)


eigenruimte

From eigen + ruimte, calque of German Eigenraum or English eigenspace.


vectorruimte

nl-noun

vectorruimte f (plural vectorruimten or vectorruimtes)

vectorruimten (plural)
vectorruimtes (plural)


eliminazione di Gauss

it-noun

eliminazione di Gauss f (plural eliminazioni di Gauss)

Gaussian elimination
Gaussian elimination

(mathematics, linear algebra) Gaussian elimination


線性組合

ㄒㄧㄢˋ ㄒㄧㄥˋ ㄗㄨˇ ㄏㄜˊ

ㄒㄧㄢˋ ㄒㄧㄥˋ ㄗㄨˇ ㄏㄜˊ

сяньсин цзухэ

/ɕi̯ɛn⁵¹⁻⁵³ ɕiŋ⁵¹ t͡su²¹⁴⁻²¹ xɤ³⁵/

/ɕi̯ɛn⁵¹⁻⁵³ ɕiŋ⁵¹ t͡su²¹⁴⁻²¹ xɤ³⁵/


sovradeterminato

it-adj

sovradeterminato (feminine sovradeterminata, masculine plural sovradeterminati, feminine plural sovradeterminate)

sovradeterminata (feminine)
sovradeterminati (masculine plural)
sovradeterminate (feminine plural)


null matrix

en-noun

null matrix (plural null matrices or null matrixes)

null matrices (plural)
null matrixes (plural)


(linear algebra) Used to indicate a unit vector.


trivial solution

trivial solution (plural trivial solutions)

(linear algebra) the answer ⃑x=⃑0 to a linear system A⃑x=⃑0


nontrivial solution

nontrivial solution (plural nontrivial solutions)

(linear algebra) any other answers apart from ⃑x=⃑0 to the linear system A⃑x=⃑0, signifying linear dependence of the linear system


Vektorraum

de-noun

Vektorraum m (strong, genitive Vektorraumes or Vektorraums, plural Vektorräume)

Vektorraumes (genitive)
Vektorraums (genitive)
Vektorräume (plural)
Vektorraum (nominative singular)
Vektorräume (definite nominative plural)
Vektorraumes (genitive singular)
Vektorraums (genitive singular)
Vektorräume (definite genitive plural)
Vektorraum (dative singular)
Vektorraume (dative singular)
Vektorräumen (dative definite plural)
Vektorraum (accusative singular)
Vektorräume (accusative definite plural)

(mathematics, linear algebra) vector space


matrice carrée

fr-noun

matrice carrée f (plural matrices carrées)


funkcja liniowa

funkcja liniowa (nominative singular)
funkcje liniowe (nominative plural)
funkcji liniowej (genitive singular)
funkcji (genitive plural)
funkcyj  liniowych (archaic genitive plural)
funkcji liniowej (dative singular)
funkcjom liniowym (dative plural)
funkcję liniową (accusative singular)
funkcje liniowe (accusative plural)
funkcją liniową (instrumental singular)
funkcjami liniowymi (instrumental plural)
funkcji liniowej (locative singular)
funkcjach liniowych (locative plural)
funkcjo liniowa (singular vocative)
funkcje liniowe (plural vocative)

(functional analysis, linear algebra) linear function (linear map)


SVD

en-noun

SVD (countable and uncountable, plural SVDs)

singular value decomposition
singular value decomposition#English

(linear algebra) Initialism of singular value decomposition.


譜半徑

ㄆㄨˇ ㄅㄢˋ ㄐㄧㄥˋ

ㄆㄨˇ ㄅㄢˋ ㄐㄧㄥˋ

/pʰu²¹⁴⁻²¹ pän⁵¹⁻⁵³ t͡ɕiŋ⁵¹/

/pʰu²¹⁴⁻²¹ pän⁵¹⁻⁵³ t͡ɕiŋ⁵¹/


lineáris altér

lineáris (“linear”) + altér (“subspace”), from al- (“sub-”) + tér (“space”)


rank-deficient

en-adj

rank-deficient (comparative more rank-deficient, superlative most rank-deficient)

more rank-deficient (comparative)
most rank-deficient (superlative)

(mathematics, linear algebra, of a matrix) Not having full rank; having a rank (dimension) less than the number of columns and the number of rows.


full rank

full rank (comparative more full rank, superlative most full rank)

more full rank (comparative)
most full rank (superlative)

(mathematics, linear algebra, of a matrix) Having the highest possible rank for its size; having a rank (dimension) equal to the number of columns or the number of rows.


辛矩陣

синьцзюйчжэнь

/ɕin⁵⁵ t͡ɕy²¹⁴⁻²¹ ʈ͡ʂən⁵¹/

/ɕin⁵⁵ t͡ɕy²¹⁴⁻²¹ ʈ͡ʂən⁵¹/


matrice symplectique

fr-noun

matrice symplectique f (plural matrices symplectiques)


symplektische Matrix

de-noun

symplektische Matrix f (definite nominative die symplektische Matrix, genitive symplektischer Matrix, definite genitive der symplektischen Matrix, plural symplektische Matrizen, definite plural die symplektischen Matrizen)

die symplektische Matrix (definite nominative)
symplektischer Matrix (genitive)
der symplektischen Matrix (definite genitive)
symplektische Matrizen (plural)
die symplektischen Matrizen (definite plural)
symplektische Matrix (nominative singular strong)
symplektische Matrizen (nominative plural strong)
symplektischer Matrix (genitive singular strong)
symplektischer Matrizen (genitive plural strong)
symplektischer Matrix (dative singular strong)
symplektischen Matrizen (dative plural strong)
symplektische Matrix (accusative singular strong)
symplektische Matrizen (accusative plural strong)
symplektische Matrix (nominative singular weak)
symplektischen Matrizen (nominative plural weak)
symplektischen Matrix (genitive singular weak)
symplektischen Matrizen (genitive plural weak)
symplektischen Matrix (dative singular weak)
symplektischen Matrizen (dative plural weak)
symplektische Matrix (accusative singular weak)
symplektischen Matrizen (accusative plural weak)
symplektische Matrix (mixed nominative singular)
symplektischen Matrizen (mixed nominative plural)
symplektischen Matrix (genitive mixed singular)
symplektischen Matrizen (genitive mixed plural)
symplektischen Matrix (dative mixed singular)
symplektischen Matrizen (dative mixed plural)
symplektische Matrix (accusative mixed singular)
symplektischen Matrizen (accusative mixed plural)


Nullvektor

Nullvektor m (mixed, genitive Nullvektors, plural Nullvektoren)

Nullvektors (genitive)
Nullvektoren (plural)
Nullvektor (nominative singular)
Nullvektoren (definite nominative plural)
Nullvektors (genitive singular)
Nullvektoren (definite genitive plural)
Nullvektor (dative singular)
Nullvektoren (dative definite plural)
Nullvektor (accusative singular)
Nullvektoren (accusative definite plural)

zero vector
zero vector#English:_Q488630

(mathematics, linear algebra) zero vector (a vector 0 in a vector space V such that for any v∈V, 0+v=v; a vector whose value in every dimension is zero; i.e., ⃑0=<0,0,…,0>)


Einheitsvektor

Einheitsvektor m (mixed, genitive Einheitsvektors, plural Einheitsvektoren)

Einheitsvektors (genitive)
Einheitsvektoren (plural)
Einheitsvektor (nominative singular)
Einheitsvektoren (definite nominative plural)
Einheitsvektors (genitive singular)
Einheitsvektoren (definite genitive plural)
Einheitsvektor (dative singular)
Einheitsvektoren (dative definite plural)
Einheitsvektor (accusative singular)
Einheitsvektoren (accusative definite plural)


a⃗ + (-a⃗) = 0

(linear algebra, physics) Denotes a vector quantity.


diagonalizacja

diagonalizacja (nominative singular)
diagonalizacje (nominative plural)
diagonalizacji (genitive singular)
diagonalizacji (genitive plural)
diagonalizacyj (archaic genitive plural)
diagonalizacji (dative singular)
diagonalizacjom (dative plural)
diagonalizację (accusative singular)
diagonalizacje (accusative plural)
diagonalizacją (instrumental singular)
diagonalizacjami (instrumental plural)
diagonalizacji (locative singular)
diagonalizacjach (locative plural)
diagonalizacjo (singular vocative)
diagonalizacje (plural vocative)

Compare English diagonalisation, French diagonalisation. By surface analysis, diagonalizować + -cja.

surf

diagonalizacja macierzy

(linear algebra) diagonalisation (conversion of a square matrix to a diagonal matrix)


diagonalizowalny

pl-adj

diagonalizowalny (not comparable, no derived adverb)

diagonalizowalny (masculine nominative singular)
diagonalizowalna (feminine nominative singular)
diagonalizowalne (neuter nominative singular)
diagonalizowalni (nominative plural virile)
diagonalizowalne (nominative plural)
diagonalizowalnego (genitive masculine singular)
diagonalizowalnej (feminine genitive singular)
diagonalizowalnego (genitive neuter singular)
diagonalizowalnych (genitive plural)
diagonalizowalnych (genitive plural virile)
diagonalizowalnemu (dative masculine singular)
diagonalizowalnej (dative feminine singular)
diagonalizowalnemu (dative neuter singular)
diagonalizowalnym (dative plural)
diagonalizowalnym (dative plural virile)
diagonalizowalnego (accusative animate masculine singular)
diagonalizowalny (accusative inanimate masculine singular)
diagonalizowalną (accusative feminine singular)
diagonalizowalne (accusative neuter singular)
diagonalizowalnych (accusative plural virile)
diagonalizowalne (accusative plural)
diagonalizowalnym (instrumental masculine singular)
diagonalizowalną (feminine instrumental singular)
diagonalizowalnym (instrumental neuter singular)
diagonalizowalnymi (instrumental plural)
diagonalizowalnymi (instrumental plural virile)
diagonalizowalnym (locative masculine singular)
diagonalizowalnej (feminine locative singular)
diagonalizowalnym (locative neuter singular)
diagonalizowalnych (locative plural)
diagonalizowalnych (locative plural virile)

endomorfizm diagonalizowalny

operator diagonalizowalny

macierz diagonalizowalna

(linear algebra) diagonalizable (able to be diagonalized)


diagonalizować

diagonalizować (infinitive)
diagonalizuję (present singular)
diagonalizujemy (plural present)
diagonalizujesz (present singular)
diagonalizujecie (plural present)
diagonalizuje (present singular third-person)
diagonalizują (plural present third-person)
diagonalizuje się (impersonal present)
diagonalizowałem (masculine past singular)
-(e)m diagonalizował (masculine past singular)
diagonalizowałam (feminine past singular)
-(e)m diagonalizowała (feminine past singular)
diagonalizowałom (neuter past singular)
-(e)m diagonalizowało (neuter past singular)
diagonalizowaliśmy (past plural virile)
-(e)śmy diagonalizowali (past plural virile)
diagonalizowałyśmy (nonvirile past plural)
-(e)śmy diagonalizowały (nonvirile past plural)
diagonalizowałeś (masculine past singular)
-(e)ś diagonalizował (masculine past singular)
diagonalizowałaś (feminine past singular)
-(e)ś diagonalizowała (feminine past singular)
diagonalizowałoś (neuter past singular)
-(e)ś diagonalizowało (neuter past singular)
diagonalizowaliście (past plural virile)
-(e)ście diagonalizowali (past plural virile)
diagonalizowałyście (nonvirile past plural)
-(e)ście diagonalizowały (nonvirile past plural)
diagonalizował (masculine past singular third-person)
diagonalizowała (feminine past singular third-person)
diagonalizowało (neuter past singular third-person)
diagonalizowali (past plural third-person virile)
diagonalizowały (nonvirile past plural third-person)
diagonalizowano (impersonal past)
będę diagonalizował (future masculine singular)
będę diagonalizować (future masculine singular)
będę diagonalizowała (feminine future singular)
będę diagonalizować (feminine future singular)
będę diagonalizowało (future neuter singular)
będę diagonalizować (future neuter singular)
będziemy diagonalizowali (future plural virile)
będziemy diagonalizować (future plural virile)
będziemy diagonalizowały (future nonvirile plural)
będziemy diagonalizować (future nonvirile plural)
będziesz diagonalizował (future masculine singular)
będziesz diagonalizować (future masculine singular)
będziesz diagonalizowała (feminine future singular)
będziesz diagonalizować (feminine future singular)
będziesz diagonalizowało (future neuter singular)
będziesz diagonalizować (future neuter singular)
będziecie diagonalizowali (future plural virile)
będziecie diagonalizować (future plural virile)
będziecie diagonalizowały (future nonvirile plural)
będziecie diagonalizować (future nonvirile plural)
będzie diagonalizował (future masculine singular third-person)
będzie diagonalizować (future masculine singular third-person)
będzie diagonalizowała (feminine future singular third-person)
będzie diagonalizować (feminine future singular third-person)
będzie diagonalizowało (future neuter singular third-person)
będzie diagonalizować (future neuter singular third-person)
będą diagonalizowali (future plural third-person virile)
będą diagonalizować (future plural third-person virile)
będą diagonalizowały (future nonvirile plural third-person)
będą diagonalizować (future nonvirile plural third-person)
będzie diagonalizować się (future impersonal)
diagonalizowałbym (conditional masculine singular)
bym diagonalizował (conditional masculine singular)
diagonalizowałabym (conditional feminine singular)
bym diagonalizowała (conditional feminine singular)
diagonalizowałobym (conditional neuter singular)
bym diagonalizowało (conditional neuter singular)
diagonalizowalibyśmy (conditional plural virile)
byśmy diagonalizowali (conditional plural virile)
diagonalizowałybyśmy (conditional nonvirile plural)
byśmy diagonalizowały (conditional nonvirile plural)
diagonalizowałbyś (conditional masculine singular)
byś diagonalizował (conditional masculine singular)
diagonalizowałabyś (conditional feminine singular)
byś diagonalizowała (conditional feminine singular)
diagonalizowałobyś (conditional neuter singular)
byś diagonalizowało (conditional neuter singular)
diagonalizowalibyście (conditional plural virile)
byście diagonalizowali (conditional plural virile)
diagonalizowałybyście (conditional nonvirile plural)
byście diagonalizowały (conditional nonvirile plural)
diagonalizowałby (conditional masculine singular third-person)
by diagonalizował (conditional masculine singular third-person)
diagonalizowałaby (conditional feminine singular third-person)
by diagonalizowała (conditional feminine singular third-person)
diagonalizowałoby (conditional neuter singular third-person)
by diagonalizowało (conditional neuter singular third-person)
diagonalizowaliby (conditional plural third-person virile)
by diagonalizowali (conditional plural third-person virile)
diagonalizowałyby (conditional nonvirile plural third-person)
by diagonalizowały (conditional nonvirile plural third-person)
diagonalizowano by (conditional impersonal)
niech diagonalizuję (imperative singular)
diagonalizujmy (imperative plural)
diagonalizuj (imperative singular)
diagonalizujcie (imperative plural)
niech diagonalizuje (imperative singular third-person)
niech diagonalizują (imperative plural third-person)
diagonalizujący (active adjectival masculine participle singular)
diagonalizująca (active adjectival feminine participle singular)
diagonalizujące (active adjectival neuter participle singular)
diagonalizujący (active adjectival participle plural virile)
diagonalizujące (active adjectival nonvirile participle plural)
diagonalizowany (adjectival masculine participle passive singular)
diagonalizowana (adjectival feminine participle passive singular)
diagonalizowane (adjectival neuter participle passive singular)
diagonalizowani (adjectival participle passive plural virile)
diagonalizowane (adjectival nonvirile participle passive plural)
diagonalizując (adjectival contemporary participle)
diagonalizowanie (noun-from-verb)

By surface analysis, diagonala + -izować.

surf

(linear algebra, transitive) to diagonalize (to convert to a diagonal matrix)


diagonalizowalność

diagonalizowalność (nominative singular)
diagonalizowalności (nominative plural)
diagonalizowalności (genitive singular)
diagonalizowalności (genitive plural)
diagonalizowalności (dative singular)
diagonalizowalnościom (dative plural)
diagonalizowalność (accusative singular)
diagonalizowalności (accusative plural)
diagonalizowalnością (instrumental singular)
diagonalizowalnościami (instrumental plural)
diagonalizowalności (locative singular)
diagonalizowalnościach (locative plural)
diagonalizowalności (singular vocative)
diagonalizowalności (plural vocative)

diagonalizowalność endomorfizmu

diagonalizowalność macierzy

diagonalizowalność operatora liniowego

(linear algebra) diagonalizability (the ability to be diagonalized)


macierz diagonalna

macierz diagonalna (nominative singular)
macierze diagonalne (nominative plural)
macierzy diagonalnej (genitive singular)
macierzy diagonalnych (genitive plural)
macierzy diagonalnej (dative singular)
macierzom diagonalnym (dative plural)
macierz diagonalną (accusative singular)
macierze diagonalne (accusative plural)
macierzą diagonalną (instrumental singular)
macierzami diagonalnymi (instrumental plural)
macierzy diagonalnej (locative singular)
macierzach diagonalnych (locative plural)
macierzy diagonalna (singular vocative)
macierze diagonalne (plural vocative)

(linear algebra) diagonal matrix (matrix in which the entries outside of the main diagonal are all zero)


wartość własna

wartość własna (nominative singular)
wartości własne (nominative plural)
wartości własnej (genitive singular)
wartości własnych (genitive plural)
wartości własnej (dative singular)
wartościom własnym (dative plural)
wartość własną (accusative singular)
wartości własne (accusative plural)
wartością własną (instrumental singular)
wartościami własnymi (instrumental plural)
wartości własnej (locative singular)
wartościach własnych (locative plural)
wartości własna (singular vocative)
wartości własne (plural vocative)

wartość własna macierzy

wartość własna przekształcenia liniowego


wektor własny

wektor własny (nominative singular)
wektory własne (nominative plural)
wektoru własnego (genitive singular)
wektorów własnych (genitive plural)
wektorowi własnemu (dative singular)
wektorom własnym (dative plural)
wektor własny (accusative singular)
wektory własne (accusative plural)
wektorem własnym (instrumental singular)
wektorami własnymi (instrumental plural)
wektorze własnym (locative singular)
wektorach własnych (locative plural)
wektorze własny (singular vocative)
wektory własne (plural vocative)

wektor własny macierzy

wektor własny przekształcenia liniowego


macierz kwadratowa

macierz kwadratowa (nominative singular)
macierze kwadratowe (nominative plural)
macierzy kwadratowej (genitive singular)
macierzy kwadratowych (genitive plural)
macierzy kwadratowej (dative singular)
macierzom kwadratowym (dative plural)
macierz kwadratową (accusative singular)
macierze kwadratowe (accusative plural)
macierzą kwadratową (instrumental singular)
macierzami kwadratowymi (instrumental plural)
macierzy kwadratowej (locative singular)
macierzach kwadratowych (locative plural)
macierzy kwadratowa (singular vocative)
macierze kwadratowe (plural vocative)

(linear algebra) square matrix (matrix with an equal number of columns and rows)


macierz schodkowa

macierz schodkowa (nominative singular)
macierze schodkowe (nominative plural)
macierzy schodkowej (genitive singular)
macierzy schodkowych (genitive plural)
macierzy schodkowej (dative singular)
macierzom schodkowym (dative plural)
macierz schodkową (accusative singular)
macierze schodkowe (accusative plural)
macierzą schodkową (instrumental singular)
macierzami schodkowymi (instrumental plural)
macierzy schodkowej (locative singular)
macierzach schodkowych (locative plural)
macierzy schodkowa (singular vocative)
macierze schodkowe (plural vocative)

Literally, “stair matrix”, or more loosely translated as “stepped matrix.”

lit

rząd macierzy schodkowej

rank of a matrix in its row echelon form

sprowadzić do macierzy schodkowej

transform (a matrix) to row echelon form

(linear algebra) matrix in its row echelon form


rozwinięcie Laplace'a

rozwinięcie Laplace'a (nominative singular)
rozwinięcia Laplace'a (nominative plural)
rozwinięcia Laplace'a (genitive singular)
rozwinięć Laplace'a (genitive plural)
rozwinięciu Laplace'a (dative singular)
rozwinięciom Laplace'a (dative plural)
rozwinięcie Laplace'a (accusative singular)
rozwinięcia Laplace'a (accusative plural)
rozwinięciem Laplace'a (instrumental singular)
rozwinięciami Laplace'a (instrumental plural)
rozwinięciu Laplace'a (locative singular)
rozwinięciach Laplace'a (locative plural)
rozwinięcie Laplace'a (singular vocative)
rozwinięcia Laplace'a (plural vocative)

[please specify syllabification manually]

Literally, “Laplace's expansion,” named after French scholar Pierre-Simon Laplace.


macierz jednostkowa

macierz jednostkowa (nominative singular)
macierze jednostkowe (nominative plural)
macierzy jednostkowej (genitive singular)
macierzy jednostkowych (genitive plural)
macierzy jednostkowej (dative singular)
macierzom jednostkowym (dative plural)
macierz jednostkową (accusative singular)
macierze jednostkowe (accusative plural)
macierzą jednostkową (instrumental singular)
macierzami jednostkowymi (instrumental plural)
macierzy jednostkowej (locative singular)
macierzach jednostkowych (locative plural)
macierzy jednostkowa (singular vocative)
macierze jednostkowe (plural vocative)

(linear algebra) identity matrix (matrix whose entries are 1 on the main diagonal and 0 otherwise)


skalaariprojektio

skalaariprojektio (nominative singular)
skalaariprojektiot (nominative plural)
skalaariprojektio (accusative nominative singular)
skalaariprojektiot (accusative nominative plural)
skalaariprojektion (accusative genitive singular)
skalaariprojektiot (accusative genitive plural)
skalaariprojektion (genitive singular)
skalaariprojektioiden (genitive plural)
skalaariprojektioitten (genitive plural)
skalaariprojektiota (partitive singular)
skalaariprojektioita (partitive plural)
skalaariprojektiossa (inessive singular)
skalaariprojektioissa (inessive plural)
skalaariprojektiosta (elative singular)
skalaariprojektioista (elative plural)
skalaariprojektioon (illative singular)
skalaariprojektioihin (illative plural)
skalaariprojektiolla (adessive singular)
skalaariprojektioilla (adessive plural)
skalaariprojektiolta (ablative singular)
skalaariprojektioilta (ablative plural)
skalaariprojektiolle (allative singular)
skalaariprojektioille (allative plural)
skalaariprojektiona (essive singular)
skalaariprojektioina (essive plural)
skalaariprojektioksi (singular translative)
skalaariprojektioiksi (plural translative)
skalaariprojektiotta (abessive singular)
skalaariprojektioitta (abessive plural)
skalaariprojektioin (instructive plural)
See the possessive forms below. (comitative)
skalaariprojektioni (nominative singular)
skalaariprojektioni (nominative plural)
skalaariprojektioni (accusative nominative singular)
skalaariprojektioni (accusative nominative plural)
skalaariprojektioni (accusative genitive singular)
skalaariprojektioni (accusative genitive plural)
skalaariprojektioni (genitive singular)
skalaariprojektioideni (genitive plural)
skalaariprojektioitteni (genitive plural)
skalaariprojektiotani (partitive singular)
skalaariprojektioitani (partitive plural)
skalaariprojektiossani (inessive singular)
skalaariprojektioissani (inessive plural)
skalaariprojektiostani (elative singular)
skalaariprojektioistani (elative plural)
skalaariprojektiooni (illative singular)
skalaariprojektioihini (illative plural)
skalaariprojektiollani (adessive singular)
skalaariprojektioillani (adessive plural)
skalaariprojektioltani (ablative singular)
skalaariprojektioiltani (ablative plural)
skalaariprojektiolleni (allative singular)
skalaariprojektioilleni (allative plural)
skalaariprojektionani (essive singular)
skalaariprojektioinani (essive plural)
skalaariprojektiokseni (singular translative)
skalaariprojektioikseni (plural translative)
skalaariprojektiottani (abessive singular)
skalaariprojektioittani (abessive plural)
skalaariprojektioineni (comitative plural)
skalaariprojektiosi (nominative singular)
skalaariprojektiosi (nominative plural)
skalaariprojektiosi (accusative nominative singular)
skalaariprojektiosi (accusative nominative plural)
skalaariprojektiosi (accusative genitive singular)
skalaariprojektiosi (accusative genitive plural)
skalaariprojektiosi (genitive singular)
skalaariprojektioidesi (genitive plural)
skalaariprojektioittesi (genitive plural)
skalaariprojektiotasi (partitive singular)
skalaariprojektioitasi (partitive plural)
skalaariprojektiossasi (inessive singular)
skalaariprojektioissasi (inessive plural)
skalaariprojektiostasi (elative singular)
skalaariprojektioistasi (elative plural)
skalaariprojektioosi (illative singular)
skalaariprojektioihisi (illative plural)
skalaariprojektiollasi (adessive singular)
skalaariprojektioillasi (adessive plural)
skalaariprojektioltasi (ablative singular)
skalaariprojektioiltasi (ablative plural)
skalaariprojektiollesi (allative singular)
skalaariprojektioillesi (allative plural)
skalaariprojektionasi (essive singular)
skalaariprojektioinasi (essive plural)
skalaariprojektioksesi (singular translative)
skalaariprojektioiksesi (plural translative)
skalaariprojektiottasi (abessive singular)
skalaariprojektioittasi (abessive plural)
skalaariprojektioinesi (comitative plural)
skalaariprojektiomme (nominative singular)
skalaariprojektiomme (nominative plural)
skalaariprojektiomme (accusative nominative singular)
skalaariprojektiomme (accusative nominative plural)
skalaariprojektiomme (accusative genitive singular)
skalaariprojektiomme (accusative genitive plural)
skalaariprojektiomme (genitive singular)
skalaariprojektioidemme (genitive plural)
skalaariprojektioittemme (genitive plural)
skalaariprojektiotamme (partitive singular)
skalaariprojektioitamme (partitive plural)
skalaariprojektiossamme (inessive singular)
skalaariprojektioissamme (inessive plural)
skalaariprojektiostamme (elative singular)
skalaariprojektioistamme (elative plural)
skalaariprojektioomme (illative singular)
skalaariprojektioihimme (illative plural)
skalaariprojektiollamme (adessive singular)
skalaariprojektioillamme (adessive plural)
skalaariprojektioltamme (ablative singular)
skalaariprojektioiltamme (ablative plural)
skalaariprojektiollemme (allative singular)
skalaariprojektioillemme (allative plural)
skalaariprojektionamme (essive singular)
skalaariprojektioinamme (essive plural)
skalaariprojektioksemme (singular translative)
skalaariprojektioiksemme (plural translative)
skalaariprojektiottamme (abessive singular)
skalaariprojektioittamme (abessive plural)
skalaariprojektioinemme (comitative plural)
skalaariprojektionne (nominative singular)
skalaariprojektionne (nominative plural)
skalaariprojektionne (accusative nominative singular)
skalaariprojektionne (accusative nominative plural)
skalaariprojektionne (accusative genitive singular)
skalaariprojektionne (accusative genitive plural)
skalaariprojektionne (genitive singular)
skalaariprojektioidenne (genitive plural)
skalaariprojektioittenne (genitive plural)
skalaariprojektiotanne (partitive singular)
skalaariprojektioitanne (partitive plural)
skalaariprojektiossanne (inessive singular)
skalaariprojektioissanne (inessive plural)
skalaariprojektiostanne (elative singular)
skalaariprojektioistanne (elative plural)
skalaariprojektioonne (illative singular)
skalaariprojektioihinne (illative plural)
skalaariprojektiollanne (adessive singular)
skalaariprojektioillanne (adessive plural)
skalaariprojektioltanne (ablative singular)
skalaariprojektioiltanne (ablative plural)
skalaariprojektiollenne (allative singular)
skalaariprojektioillenne (allative plural)
skalaariprojektionanne (essive singular)
skalaariprojektioinanne (essive plural)
skalaariprojektioksenne (singular translative)
skalaariprojektioiksenne (plural translative)
skalaariprojektiottanne (abessive singular)
skalaariprojektioittanne (abessive plural)
skalaariprojektioinenne (comitative plural)
skalaariprojektionsa (nominative singular)
skalaariprojektionsa (nominative plural)
skalaariprojektionsa (accusative nominative singular)
skalaariprojektionsa (accusative nominative plural)
skalaariprojektionsa (accusative genitive singular)
skalaariprojektionsa (accusative genitive plural)
skalaariprojektionsa (genitive singular)
skalaariprojektioidensa (genitive plural)
skalaariprojektioittensa (genitive plural)
skalaariprojektiotaan (partitive singular)
skalaariprojektiotansa (partitive singular)
skalaariprojektioitaan (partitive plural)
skalaariprojektioitansa (partitive plural)
skalaariprojektiossaan (inessive singular)
skalaariprojektiossansa (inessive singular)
skalaariprojektioissaan (inessive plural)
skalaariprojektioissansa (inessive plural)
skalaariprojektiostaan (elative singular)
skalaariprojektiostansa (elative singular)
skalaariprojektioistaan (elative plural)
skalaariprojektioistansa (elative plural)
skalaariprojektioonsa (illative singular)
skalaariprojektioihinsa (illative plural)
skalaariprojektiollaan (adessive singular)
skalaariprojektiollansa (adessive singular)
skalaariprojektioillaan (adessive plural)
skalaariprojektioillansa (adessive plural)
skalaariprojektioltaan (ablative singular)
skalaariprojektioltansa (ablative singular)
skalaariprojektioiltaan (ablative plural)
skalaariprojektioiltansa (ablative plural)
skalaariprojektiolleen (allative singular)
skalaariprojektiollensa (allative singular)
skalaariprojektioilleen (allative plural)
skalaariprojektioillensa (allative plural)
skalaariprojektionaan (essive singular)
skalaariprojektionansa (essive singular)
skalaariprojektioinaan (essive plural)
skalaariprojektioinansa (essive plural)
skalaariprojektiokseen (singular translative)
skalaariprojektioksensa (singular translative)
skalaariprojektioikseen (plural translative)
skalaariprojektioiksensa (plural translative)
skalaariprojektiottaan (abessive singular)
skalaariprojektiottansa (abessive singular)
skalaariprojektioittaan (abessive plural)
skalaariprojektioittansa (abessive plural)
skalaariprojektioineen (comitative plural)
skalaariprojektioinensa (comitative plural)


producto escalar

es-noun

producto escalar m (plural productos escalares)


producto punto

producto punto m (plural productos puntos)


ladder operator

en-noun

ladder operator (plural ladder operators)

(linear algebra) An operator that either increases or decreases the eigenvalue of another operator.


producto vectorial

es-noun

producto vectorial m (plural productos vectoriales)


producto cruz

producto cruz m (plural productos cruces)

[pɾoˌð̞uɣ̞.t̪o ˈkɾuθ]


diagonaliseren

diagonaliseren (infinitive)
diagonaliseren (gerund neuter)
diagonaliseer (first-person present singular)
diagonaliseerde (first-person past singular)
diagonaliseert (present second-person singular)
diagonaliseer (present second-person singular)
diagonaliseerde (past second-person singular)
diagonaliseert (formal present second-person singular)
diagonaliseerde (formal past second-person singular)
diagonaliseert (Flanders colloquial present second-person singular)
diagonaliseert (archaic formal majestic present second-person singular)
diagonaliseerde (Flanders colloquial past second-person singular)
diagonaliseerde (archaic formal majestic past second-person singular)
diagonaliseert (present singular third-person)
diagonaliseerde (past singular third-person)
diagonaliseren (plural present)
diagonaliseerden (past plural)
diagonalisere (archaic present singular subjunctive)
diagonaliseerde (archaic past singular subjunctive)
diagonaliseren (archaic plural present subjunctive)
diagonaliseerden (archaic past plural subjunctive)
diagonaliseer (imperative present singular)
diagonaliseert (archaic imperative plural present)
diagonaliserend (participle present)
gediagonaliseerd (participle past)

By surface analysis, diagonaal + -iseren.

surf

(linear algebra, transitive) to diagonalize


diagonalisatie

nl-noun

diagonalisatie f (plural diagonalisaties, diminutive diagonalisatietje n)

diagonalisaties (plural)
diagonalisatietje (diminutive neuter)

By surface analysis, diagonaliseren + -atie.


Basisvektor

de-noun

Basisvektor m (mixed, genitive Basisvektors, plural Basisvektoren)

Basisvektors (genitive)
Basisvektoren (plural)
Basisvektor (nominative singular)
Basisvektoren (definite nominative plural)
Basisvektors (genitive singular)
Basisvektoren (definite genitive plural)
Basisvektor (dative singular)
Basisvektoren (dative definite plural)
Basisvektor (accusative singular)
Basisvektoren (accusative definite plural)


idemfactor

en-noun

idemfactor (usually uncountable, plural idemfactors)

(mathematics, linear algebra) An operator or quantity which is at both idemfacient and idemfaciend.


idemfacient

(mathematics, linear algebra) When multiplying an idempotent matrix produces itself.


idemfaciend

The possibility of the selection of all the remaining units as idemfaciend or nilfaciend is easily established.

1882, Benjamin Peirce, Linear Associative Algebra, page 14:

(mathematics, linear algebra) When multiplied by an idempotent matrix produces itself.


點乘

/ti̯ɛn²¹⁴⁻²¹ ʈ͡ʂʰɤŋ³⁵/

/ti̯ɛn²¹⁴⁻²¹ ʈ͡ʂʰɤŋ³⁵/


(linear algebra, physics) Denotes a tensor quantity.


trực chuẩn

[t͡ɕɨk̚˧˨ʔ t͡ɕwən˧˩]

[ʈɨk̚˨˩ʔ t͡ɕwəŋ˧˨]

[ʈɨk̚˨˩˨ c⁽ʷ⁾əŋ˨˩˦]

Sino-Vietnamese word from 直 (“orthogonal”) and 準 (“standard; normal”).

vi-etym-sino

cơ sở trực chuẩn


Schur decomposition

Named after Russian mathematician Issai Schur.

named-after

matrix decomposition
matrix decomposition

(linear algebra) A matrix decomposition allowing one to write complex square matrices as similar to a triangular matrix whose diagonal elements are the eigenvalues of the original matrix.


ffwythiant eigen

cy-noun

ffwythiant eigen m (plural fwythiannau eigen, not mutable)


fector eigen

fector eigen m (plural fectorau eigen, not mutable)


gwerth eigen

gwerth eigen m (plural gwerthoedd eigen)


basis vector

(linear algebra) A vector that forms part of a basis for a vector space.


右矢

/joʊ̯⁵¹ ʂʐ̩²¹⁴⁻²¹⁽⁴⁾/

/joʊ̯⁵¹ ʂʐ̩²¹⁴⁻²¹⁽⁴⁾/


左矢

/t͡su̯ɔ²¹⁴⁻³⁵ ʂʐ̩²¹⁴⁻²¹⁽⁴⁾/

/t͡su̯ɔ²¹⁴⁻³⁵ ʂʐ̩²¹⁴⁻²¹⁽⁴⁾/


skew-symmetric matrix

en-noun

skew-symmetric matrix (plural skew-symmetric matrices or skew-symmetric matrixes)

skew-symmetric matrices (plural)
skew-symmetric matrixes (plural)

(linear algebra) A square matrix equal to the negative of its transpose.


skew-symmetric determinant

skew-symmetric determinant (plural skew-symmetric determinants)

skew-symmetric matrix
skew-symmetric matrix

(linear algebra) The determinant of a skew-symmetric matrix.


matrice unité

fr-noun

matrice unité f (plural matrices unités)

(linear algebra) identity matrix, unit matrix


matrice triangulaire

matrice triangulaire f (plural matrices triangulaires)


triangular matrix

en-noun

triangular matrix (plural triangular matrixes or triangular matrices)

triangular matrixes (plural)
triangular matrices (plural)

(linear algebra) A square matrix in which all the items on one side of the main diagonal are zero.