determinant
English
[edit]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)
- 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.
- 1999, Noah P. Barsky, Stuart Bruchey (editor), Organizational Determinants of Budgetary Influence and Involvement, Taylor & Francis (Garland Publishing), page 4,
- (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 is a function (actually a polynomial function) of the elements of .
- 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.
- 1966 [Allyn & Bacon], Howard Whitley Eves, Elementary Matrix Theory, 1980, Dover, Unabridged corrected republication, page 165,
- (biology) A substance that causes a cell to adopt a particular fate.
- (genetics) Something that causes a nuclease to cut at a specified point
Derived terms
[edit]- bideterminant
- cytoplasmic determinant
- determinantal
- immunodeterminant
- macrodeterminant, microdeterminant
- Slater determinant
Translations
[edit]
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Adjective
[edit]determinant (comparative more determinant, superlative most determinant)
- Serving to determine or limit; determinative.
Derived terms
[edit]See also
[edit]References
[edit]- ^ “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]Catalan
[edit]Adjective
[edit]determinant m or f (masculine and feminine plural determinants)
- determining
- factor determinant ― determining factor
Noun
[edit]determinant m (plural determinants)
Verb
[edit]determinant
- gerund of determinar
Czech
[edit]Pronunciation
[edit]Noun
[edit]determinant m inan
- determinant (unique scalar function over square matrices)
Declension
[edit]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)
- (linear algebra) determinant
Declension
[edit]common gender |
Singular | Plural | ||
---|---|---|---|---|
indefinite | definite | indefinite | definite | |
nominative | determinant | determinanten | determinanter | determinanterne |
genitive | determinants | determinantens | determinanters | determinanternes |
Further reading
[edit]Latin
[edit]Verb
[edit]dēterminant
Norwegian Bokmål
[edit]Etymology
[edit]From Latin determinant, from determinare.
Noun
[edit]determinant m (definite singular determinanten, indefinite plural determinanter, definite plural determinantene)
- determinant (determining factor)
- (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]Etymology
[edit]From Latin determinant, from determinare.
Noun
[edit]determinant m (definite singular determinanten, indefinite plural determinantar, definite plural determinantane)
- determinant (determining factor)
- (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)
Declension
[edit]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]Noun
[edit]determinant m inan
- determining factor
- (mathematics) determinant
Declension
[edit]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
Declension
[edit]Declension of determinant | ||||
---|---|---|---|---|
Singular | Plural | |||
Indefinite | Definite | Indefinite | Definite | |
Nominative | determinant | determinanten | determinanter | determinanterna |
Genitive | determinants | determinantens | determinanters | determinanternas |
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