determinant

 

English Wikipedia has an article on:

determinant

Wikipedia

Borrowed from French déterminant.

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

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 ${\displaystyle A_{(n)}}$  is a function (actually a polynomial function) of the elements ${\displaystyle a_{ij}}$  of ${\displaystyle A}$ .

   • 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

determinant (comparative more determinant, superlative most determinant)

1. Serving to determine or limit; determinative.

• permanent
• singular

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

• detrainment

determinant m or f (masculine and feminine plural determinants)

1. determining

   factor determinant ― determining factor

determinant m (plural determinants)

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

determinant

1. gerund of determinar

• IPA^(key): [ˈdɛtɛrmɪnant]

determinant m inan

1. determinant (unique scalar function over square matrices)

• See termín

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

determinant c (singular definite determinanten, plural indefinite determinanter)

1. (linear algebra) determinant

• “determinant” in Den Danske Ordbog

dēterminant

1. third-person plural present active indicative of dēterminō

 

Norwegian Wikipedia has an article on:

determinant

Wikipedia ^no

From Latin determinant, from determinare.

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.

• “determinant” in The Bokmål Dictionary.

 

Norwegian Nynorsk Wikipedia has an article on:

determinant

Wikipedia ⁿⁿ

From Latin determinant, from determinare.

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

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

• “determinant” in The Nynorsk Dictionary.

Borrowed from French déterminant.

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

1. determinant

• IPA^(key): [ˈdeterminant]

determinant m inan

1. determining factor
2. (mathematics) determinant

• “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, 2003–2024

determinant c

1. (mathematics) determinant