See also: déterminant

EnglishEdit

 
English Wikipedia has an article on:
Wikipedia

EtymologyEdit

Borrowed from French déterminant.

PronunciationEdit

NounEdit

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, 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.
  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   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.
  3. (biology) A substance that causes a cell to adopt a particular fate.

TranslationsEdit

Derived termsEdit

AdjectiveEdit

determinant (comparative more determinant, superlative most determinant)

  1. Serving to determine or limit; determinative.

See alsoEdit

Further readingEdit

AnagramsEdit


CatalanEdit

VerbEdit

determinant

  1. present participle of determinar

CzechEdit

PronunciationEdit

NounEdit

determinant m

  1. determinant (unique scalar function over square matrices)

Related termsEdit

Further readingEdit


DanishEdit

NounEdit

determinant c (singular definite determinanten, plural indefinite determinanter)

  1. (linear algebra) determinant

DeclensionEdit

Further readingEdit


LatinEdit

VerbEdit

dēterminant

  1. third-person plural present active indicative of dēterminō

Norwegian BokmålEdit

 
Norwegian Wikipedia has an article on:
Wikipedia no

EtymologyEdit

From Latin determinant, from determinare

NounEdit

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.

ReferencesEdit


Norwegian NynorskEdit

 
Norwegian Nynorsk Wikipedia has an article on:
Wikipedia nn

EtymologyEdit

From Latin determinant, from determinare

NounEdit

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

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

ReferencesEdit


SlovakEdit

PronunciationEdit

NounEdit

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

  1. determining factor
  2. (mathematics) determinant

DeclensionEdit

Further readingEdit


SwedishEdit

NounEdit

determinant c

  1. (mathematics) determinant

DeclensionEdit

Declension of determinant 
Singular Plural
Indefinite Definite Indefinite Definite
Nominative determinant determinanten determinanter determinanterna
Genitive determinants determinantens determinanters determinanternas