determinant
Pronunciation
  • (British) IPA: /dɪˈtɜːmɪnənt/
  • (America) IPA: /dɪˈtɝmɪnənt/
Noun

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 Eves, Elementary Matrix Theory, 1980, Dover, Unabridged corrected republication, page 165 ↗,
      The determinant of a square matrix A_{(n)} is a function (actually a polynomial function) of the elements a_{ij} of 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, 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.
Translations Translations Adjective

determinant

  1. Serving to determine or limit; determinative.



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