determinant
See also: déterminant
English
Etymology
Borrowed from French déterminant.
Pronunciation
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- Lua error in Module:parameters at line 291: Parameter 1 should be a valid language or etymology language code; the value "US" is not valid. See WT:LOL and WT:LOL/E. IPA(key): /dɪˈtʌɹmɪnənt/
Noun
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, Richard Wilkinson, Michael Marmot (editors), Social Determinants of Health: The Solid Facts, World Health Organization, 2nd Edition, 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, 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.
Translations
determining factor
|
scalar that encodes certain characteristics of a square matrix
|
Derived terms
Adjective
determinant (comparative more determinant, superlative most determinant)
- Serving to determine or limit; determinative.
See also
Further reading
Risk factor on Wikipedia.Wikipedia
Determinantal variety on Wikipedia.Wikipedia
- Determinant on Wolfram MathWorld
- Determinant on Encyclopedia of Mathematics
Anagrams
Catalan
Verb
determinant
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Czech
Pronunciation
Noun
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- determinant (unique scalar function over square matrices)
Related terms
- See termín
Further reading
Danish
Noun
determinant c (singular definite determinanten, plural indefinite determinanter)
- (linear algebra) determinant
Declension
Declension of determinant
common gender |
Singular | Plural | ||
---|---|---|---|---|
indefinite | definite | indefinite | definite | |
nominative | determinant | determinanten | determinanter | determinanterne |
genitive | determinants | determinantens | determinanters | determinanternes |
Further reading
Latin
Verb
(deprecated template usage) dēterminant
Norwegian Bokmål
Etymology
From Latin determinant, from determinare
Noun
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.
- Determinanten til identitetsmatrisa er 1.
References
- “determinant” in The Bokmål Dictionary.
Norwegian Nynorsk
Etymology
From Latin determinant, from determinare
Noun
determinant m (definite singular determinanten, indefinite plural determinantar, definite plural determinantane)
- determinant (determining factor)
- (linear algebra) determinant (mathematical term)
References
- “determinant” in The Nynorsk Dictionary.
Slovak
Pronunciation
Noun
determinant m
- determining factor
- (mathematics) determinant
Declension
Declension of determinant
singular | plural | |
---|---|---|
nominative | determinant | determinanty |
genitive | determinantu | determinantov |
dative | determinantu | determinantom |
accusative | determinant | determinanty |
locative | determinantoch | determinantoch |
instrumental | determinantom | determinantmi |
Further reading
- “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
Noun
determinant c
Declension
Declension of determinant | ||||
---|---|---|---|---|
Singular | Plural | |||
Indefinite | Definite | Indefinite | Definite | |
Nominative | determinant | determinanten | determinanter | determinanterna |
Genitive | determinants | determinantens | determinanters | determinanternas |
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