determinant
Language: English
Part of speech: noun
Pronunciation: ipa: /dɪˈtɜːmɪnənt/
ipa: /dɪˈtɝmɪnənt/
ipa: /dɪˈtɝmənənt/
Forms: form: determinants
Etymology: Borrowed from French déterminant, equivalent to determine + -ant.
Senses: examples: text: 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.
text: The field of the social determinants of health is perhaps the most complex and challenging of all.
ref: 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:
text: The aim of this book has been to assess the determinants of capital punishment without taking a stand for or against the death penalty.
ref: 2004, Carsten Anckar, Determinants of the Death Penalty: A comparative study of the world, Taylor & Francis (Routledge), page 165:
glosses: A determining factor; an element that determines the nature of something.
examples: text: 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.
text: 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.
text: 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.
ref: 2009, Richard A. Brualdi, Dragoš Cvetkoviċ, A Combinatorial Approach to Matrix Theory and Its Applications, Taylor & Francis (CRC / Chapman & Hall), page 63:
text: 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₎.
ref: 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:
topics: linear-algebra
mathematics
sciences
glosses: 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.
topics: biology
natural-sciences
glosses: A substance that causes a cell to adopt a particular fate.
topics: biology
genetics
medicine
natural-sciences
sciences
glosses: Something that causes a nuclease to cut at a specified point
Derived terms: allodeterminant
antideterminant
bideterminant
cytoplasmic determinant
determinantal
hyperdeterminant
immunodeterminant
macrodeterminant
microdeterminant
multideterminant
predeterminant
quasideterminant
serodeterminant
skew-symmetric determinant
Slater determinant
stereodeterminant
subdeterminant
superdeterminant