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  1. Wiktionary
  2. determinant
determinant

determinant

From Wiktionary, the free dictionary
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See also: déterminant

Contents

  • 1 English
    • 1.1 Etymology
    • 1.2 Pronunciation
    • 1.3 Noun
      • 1.3.1 Derived terms
      • 1.3.2 Translations
    • 1.4 Adjective
      • 1.4.1 Derived terms
    • 1.5 See also
    • 1.6 References
    • 1.7 Further reading
    • 1.8 Anagrams
  • 2 Catalan
    • 2.1 Adjective
    • 2.2 Noun
    • 2.3 Verb
  • 3 Czech
    • 3.1 Pronunciation
    • 3.2 Noun
      • 3.2.1 Declension
      • 3.2.2 Related terms
    • 3.3 Further reading
  • 4 Danish
    • 4.1 Noun
      • 4.1.1 Declension
    • 4.2 Further reading
  • 5 Latin
    • 5.1 Verb
  • 6 Norwegian Bokmål
    • 6.1 Etymology
    • 6.2 Noun
    • 6.3 References
  • 7 Norwegian Nynorsk
    • 7.1 Etymology
    • 7.2 Noun
    • 7.3 References
  • 8 Romanian
    • 8.1 Etymology
    • 8.2 Adjective
      • 8.2.1 Declension
  • 9 Slovak
    • 9.1 Pronunciation
    • 9.2 Noun
      • 9.2.1 Declension
    • 9.3 Further reading
  • 10 Swedish
    • 10.1 Noun
      • 10.1.1 Declension

English

[edit]
English Wikipedia has an article on:
determinant
Wikipedia

Etymology

[edit]

Borrowed from French déterminant.

Pronunciation

[edit]
  • (UK, General Australian) IPA(key): /dɪˈtɜːmɪnənt/
  • (General American, Canada) IPA(key): /dɪˈtɝmɪnənt/, /dɪˈtɝmənənt/[1]

Noun

[edit]

determinant (plural determinants)

  1. A determining factor; an element that determines the nature of something.
    • 1999, Noah P. Barsky, Stuart Bruchey (editor), Organizational Determinants of Budgetary Influence and Involvement, Taylor & Francis (Garland Publishing), page 4,
      Shields and Young (1993) argue that the budget participation literature "has not produced a coherent nor unified definition" of both the determinants and consequences of budget participation.
    • 2003, Agis D. Tsouros, “Foreword”, in Richard Wilkinson, Michael Marmot, editors, Social Determinants of Health: The Solid Facts, 2nd edition, World Health Organization, page 5:
      The field of the social determinants of health is perhaps the most complex and challenging of all.
    • 2004, Carsten Anckar, Determinants of the Death Penalty: A comparative study of the world, Taylor & Francis (Routledge), page 165:
      The aim of this book has been to assess the determinants of capital punishment without taking a stand for or against the death penalty.
  2. (linear algebra) A scalar that encodes certain characteristics of a given transformation matrix; the unique scalar function over square matrices which is distributive over matrix multiplication, multilinear in the rows and columns, and takes the value 1 for the unit matrix; abbreviated as: det.
    • 1966 [Allyn & Bacon], Howard Whitley Eves, Elementary Matrix Theory, 1980, Dover, Unabridged corrected republication, page 165,
      The determinant of a square matrix A ( n ) {\displaystyle A_{(n)}} {\displaystyle A_{(n)}} is a function (actually a polynomial function) of the elements a i j {\displaystyle a_{ij}} {\displaystyle a_{ij}} of A {\displaystyle A} {\displaystyle A}.
    • 1990, Assem S. Deif, Advanced Matrix Theory for Scientists and Engineers, Gordon and Breach Science Publishers (Abacus Press), 2nd Edition, page 18,
      Show that the determinant of a Hermitian matrix is real and that of a skew-Hermitian matrix is imaginary.
    • 2009, Richard A. Brualdi, Dragoš Cvetkoviċ, A Combinatorial Approach to Matrix Theory and Its Applications‎[1], Taylor & Francis (CRC / Chapman & Hall), page 63:
      Using this definition, we derive the basic properties of a determinant that are useful in its evaluation. In particular, it is shown how the calculation of a determinant can be reduced to the calculation of determinants of lower order.
  3. (biology) A substance that causes a cell to adopt a particular fate.
  4. (genetics) Something that causes a nuclease to cut at a specified point

Derived terms

[edit]
  • allodeterminant
  • antideterminant
  • bideterminant
  • cytoplasmic determinant
  • determinantal
  • hyperdeterminant
  • immunodeterminant
  • macrodeterminant, microdeterminant
  • multideterminant
  • predeterminant
  • quasideterminant
  • serodeterminant
  • Slater determinant
  • stereodeterminant
  • subdeterminant
  • superdeterminant
 

Translations

[edit]
determining factor
  • Arabic: مُحَدِّدٌ m (muḥaddidun)
  • Chinese:
    Mandarin: 決定(性)因素/决定(性)因素 (juédìng(xìng) yīnsù)
  • Finnish: määräävä tekijä, ratkaiseva tekijä
  • French: déterminant (fr) m
  • Hungarian: meghatározó (hu)
  • Indonesian: determinan (id), penentu (id)
  • Irish: cinntitheach m
  • Norwegian: determinant m
  • Portuguese: determinante (pt) m
  • Russian: определя́ющий фа́ктор m (opredeljájuščij fáktor), определи́тель (ru) m (opredelítelʹ)
scalar that encodes certain characteristics of a square matrix
  • Bulgarian: детерминанта f (determinanta)
  • Catalan: determinant (ca) m
  • Chinese:
    Mandarin: 行列式 (zh) (hánglièshì)
  • Czech: determinant (cs) m
  • Danish: determinant c
  • Dutch: determinant (nl) m
  • Estonian: determinant
  • Finnish: determinantti (fi)
  • French: déterminant (fr) m
  • German: Determinante (de) f
  • Greek: ορίζουσα (el) f (orízousa)
  • Hungarian: determináns (hu)
  • Icelandic: ákveða f
  • Indonesian: determinan (id)
  • Italian: determinante (it) m
  • Japanese: 行列式 (ja) (gyōretsu-shiki)
  • Korean: 행렬식(行列式) (haengnyeolsik)
  • Malay: penentu
  • Norwegian: determinant m
  • Polish: wyznacznik (pl) m
  • Portuguese: determinante (pt) m
  • Russian: детермина́нт (ru) m (determinánt)
  • Slovak: determinant m
  • Spanish: determinante (es) m
  • Swedish: determinant (sv) c
  • Tagalog: taliyak
  • Vietnamese: định thức (vi)

Adjective

[edit]

determinant (comparative more determinant, superlative most determinant)

  1. Serving to determine or limit; determinative.

Derived terms

[edit]
  • self-determinant
 

See also

[edit]
  • permanent
  • singular

References

[edit]
  1. ^ “determinant”, in Merriam-Webster Online Dictionary, Springfield, Mass.: Merriam-Webster, 1996–present.

Further reading

[edit]
  • Risk factor on Wikipedia.Wikipedia
  • Determinantal variety on Wikipedia.Wikipedia
  • Determinant on Wolfram MathWorld
  • Determinant on Encyclopedia of Mathematics

Anagrams

[edit]
  • detrainment

Catalan

[edit]

Adjective

[edit]

determinant m or f (masculine and feminine plural determinants)

  1. determining
    factor determinant ― determining factor

Noun

[edit]

determinant m (plural determinants)

  1. (grammar) determiner
  2. (mathematics) determinant

Verb

[edit]

determinant

  1. gerund of determinar

Czech

[edit]

Pronunciation

[edit]
  • IPA(key): [ˈdɛtɛrmɪnant]

Noun

[edit]

determinant m inan

  1. determinant (unique scalar function over square matrices)

Declension

[edit]
Declension of determinant (hard masculine inanimate)
singular plural
nominative determinant determinanty
genitive determinantu determinantů
dative determinantu determinantům
accusative determinant determinanty
vocative determinante determinanty
locative determinantu determinantech
instrumental determinantem determinanty

Related terms

[edit]
  • See termín

Further reading

[edit]
  • “determinant”, in Příruční slovník jazyka českého (in Czech), 1935–1957
  • “determinant”, in Slovník spisovného jazyka českého (in Czech), 1960–1971, 1989

Danish

[edit]

Noun

[edit]

determinant c (singular definite determinanten, plural indefinite determinanter)

  1. (linear algebra) determinant

Declension

[edit]
Declension of determinant
common
gender
Singular Plural
indefinite definite indefinite definite
nominative determinant determinanten determinanter determinanterne
genitive determinants determinantens determinanters determinanternes

Further reading

[edit]
  • “determinant” in Den Danske Ordbog

Latin

[edit]

Verb

[edit]

dēterminant

  1. third-person plural present active indicative of dēterminō

Norwegian Bokmål

[edit]
Norwegian Wikipedia has an article on:
determinant
Wikipedia no

Etymology

[edit]

From Latin determinant, from determinare.

Noun

[edit]

determinant m (definite singular determinanten, indefinite plural determinanter, definite plural determinantene)

  1. determinant (determining factor)
  2. (linear algebra) determinant (mathematical term)
    Determinanten til identitetsmatrisa er 1.
    The determinant of the identity matrix equals 1.

References

[edit]
  • “determinant” in The Bokmål Dictionary.

Norwegian Nynorsk

[edit]
Norwegian Nynorsk Wikipedia has an article on:
determinant
Wikipedia nn

Etymology

[edit]

From Latin determinant, from determinare.

Noun

[edit]

determinant m (definite singular determinanten, indefinite plural determinantar, definite plural determinantane)

  1. determinant (determining factor)
  2. (linear algebra) determinant (mathematical term)

References

[edit]
  • “determinant” in The Nynorsk Dictionary.

Romanian

[edit]

Etymology

[edit]

Borrowed from French déterminant.

Adjective

[edit]

determinant m or n (feminine singular determinantă, masculine plural determinanți, feminine and neuter plural determinante)

  1. determinant

Declension

[edit]
Declension of determinant
singular plural
masculine neuter feminine masculine neuter feminine
nominative/
accusative
indefinite determinant determinantă determinanți determinante
definite determinantul determinanta determinanții determinantele
genitive/
dative
indefinite determinant determinante determinanți determinante
definite determinantului determinantei determinanților determinantelor

Slovak

[edit]

Pronunciation

[edit]
  • IPA(key): /ˈdɛtɛrminant/

Noun

[edit]

determinant m inan (genitive singular determinantu, nominative plural determinanty, genitive plural determinantov, declension pattern of dub)

  1. determining factor
  2. (mathematics) determinant

Declension

[edit]
Declension of determinant
singular plural
nominative determinant determinanty
genitive determinantu determinantov
dative determinantu determinantom
accusative determinant determinanty
locative determinante determinantoch
instrumental determinantom determinantmi

Further reading

[edit]
  • “determinant”, in Slovníkový portál Jazykovedného ústavu Ľ. Štúra SAV [Dictionary portal of the Ľ. Štúr Institute of Linguistics, Slovak Academy of Science] (in Slovak), https://slovnik.juls.savba.sk, 2024

Swedish

[edit]

Noun

[edit]

determinant c

  1. (mathematics) determinant

Declension

[edit]
Declension of determinant
nominative genitive
singular indefinite determinant determinants
definite determinanten determinantens
plural indefinite determinanter determinanters
definite determinanterna determinanternas
Retrieved from "https://en.wiktionary.org/w/index.php?title=determinant&oldid=82332730"
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