Dictionary
Words, grammatical forms and meanings linked to the ontology.
determinant en · ADJ
Pronunciation
- /dɪˈtɝmənənt/ (Canada, General-American)
- /dɪˈtɜːmɪnənt/ (Australia, UK)
- /dɪˈtɝmɪnənt/ (Canada, General-American)
- (US) audio
Etymology
Borrowed from French déterminant, equivalent to determine + -ant.
Meanings
-
Serving to determine or limit; determinative.
Forms
Deriveds
self-determinant
Relateds
singular · permanent
determinant en · NOUN
Pronunciation
- /dɪˈtɝmənənt/ (Canada, General-American)
- /dɪˈtɜːmɪnənt/ (Australia, UK)
- /dɪˈtɝmɪnənt/ (Canada, General-American)
- (US) audio
Etymology
Borrowed from French déterminant, equivalent to determine + -ant.
Meanings
-
A determining factor; an element that determines the nature of something.
The aim of this book has been to assess the determinants of capital punishment without taking a stand for or against the death penalty.
2004, Carsten Anckar, Determinants of the Death Penalty: A comparative study of the world, Taylor & Francis (Routledge), page 165:The field of the social determinants of health is perhaps the most complex and challenging of all.
2003, Agis D. Tsouros, “Foreword”, in Richard Wilkinson, Michael Marmot, editors, Social Determinants of Health: The Solid Facts, 2nd edition, World Health Organization, page 5:1999, 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.
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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 A_(n) is a function (actually a polynomial function) of the elements a_ij of A.
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.
2009, Richard A. Brualdi, Dragoš Cvetkoviċ, A Combinatorial Approach to Matrix Theory and Its Applications, Taylor & Francis (CRC / Chapman & Hall), page 63:1990, 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.
The following proposition shows a connection between negafibonacci numbers and the determinants of a family of tridiagonal matrices. […] Assuming that the determinant det(Gₖ) = f₋₍ₖ₊₁₎ for all k ≤ n, we aim to show that det(Gₙ₊₂) = f₋₍ₙ₊₃₎.
2019 June 24, Juan Triana, “Negafibonacci Numbers via Matrices”, in Bulletin of TICMI, volume 23, number 1, →ISSN, archived from the original on 13 Jul 2019, Negafibonacci numbers as tridiagonal matrix determinants, pages 3, 4:
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A substance that causes a cell to adopt a particular fate.
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Something that causes a nuclease to cut at a specified point
Forms
Deriveds
subdeterminant · allodeterminant · superdeterminant · multideterminant · cytoplasmic determinant · hyperdeterminant · antideterminant · Slater determinant · skew-symmetric determinant · predeterminant · macrodeterminant · determinantal · bideterminant · immunodeterminant · stereodeterminant · microdeterminant · serodeterminant · quasideterminant
Translations (46)
is ákveða (scalar that encodes certain characteristics of a square matrix) · pt determinante (determining factor) · cmn 決定(性)因素 /决定(性)因素 (determining factor) · hu meghatározó (determining factor) · id determinan (determining factor) · no determinant (scalar that encodes certain characteristics of a square matrix) · ja 行列式 (scalar that encodes certain characteristics of a square matrix) · nl determinant (scalar that encodes certain characteristics of a square matrix) · pl wyznacznik (scalar that encodes certain characteristics of a square matrix) · ar مُحَدِّد (scalar that encodes certain characteristics of a square matrix) · id penentu (determining factor) · ru определя́ющий фа́ктор (determining factor) · pt determinante (scalar that encodes certain characteristics of a square matrix) · fa تعیینکننده (determining factor) · es determinante (scalar that encodes certain characteristics of a square matrix) · hi सारणिक (scalar that encodes certain characteristics of a square matrix) · pl wyznacznik (determining factor) · fa-ira دترمینان (scalar that encodes certain characteristics of a square matrix) · ru определи́тель (determining factor) · it determinante (scalar that encodes certain characteristics of a square matrix) · da determinant (scalar that encodes certain characteristics of a square matrix) · cs determinant (scalar that encodes certain characteristics of a square matrix) · sv determinant (scalar that encodes certain characteristics of a square matrix) · ca determinant (scalar that encodes certain characteristics of a square matrix) · no determinant (determining factor) · id determinan (scalar that encodes certain characteristics of a square matrix) · fi ratkaiseva tekijä (determining factor) · bg детерминанта (scalar that encodes certain characteristics of a square matrix) · vi định thức (scalar that encodes certain characteristics of a square matrix) · de Determinante (scalar that encodes certain characteristics of a square matrix) · et determinant (scalar that encodes certain characteristics of a square matrix) · ms penentu (scalar that encodes certain characteristics of a square matrix) · fr déterminant (scalar that encodes certain characteristics of a square matrix) · fr déterminant (determining factor) · fi määräävä tekijä (determining factor) · ar مُحَدِّد (determining factor) · el ορίζουσα (scalar that encodes certain characteristics of a square matrix) · ga cinntitheach (determining factor) · bg определител (determining factor) · hu determináns (scalar that encodes certain characteristics of a square matrix) · sk determinant (scalar that encodes certain characteristics of a square matrix) · cmn 行列式 (scalar that encodes certain characteristics of a square matrix) · ru детермина́нт (scalar that encodes certain characteristics of a square matrix) · tl taliyak (scalar that encodes certain characteristics of a square matrix) · fi determinantti (scalar that encodes certain characteristics of a square matrix) · ko 행렬식 (scalar that encodes certain characteristics of a square matrix)