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Definition of Discriminant
1. n. The eliminant of the n partial differentials of any homogenous function of n variables. See Eliminant.
Definition of Discriminant
1. Noun. (algebra) An expression that gives information about the roots of a polynomial; for example, the expression ''D = b2 - 4ac'' determines whether the roots of the quadratic equation ''ax2 + bx + c = 0'' are real and distinct (''D'' > 0), real and equal (''D'' = 0) or complex (''D'' < 0). ¹
2. Adjective. Serving to discriminate. ¹
¹ Source: wiktionary.com
Definition of Discriminant
1. [n -S]
Medical Definition of Discriminant
1.
Lexicographical Neighbors of Discriminant
Literary usage of Discriminant
Below you will find example usage of this term as found in modern and/or classical literature:
1. Lessons Introductory to the Modern Higher Algebra by George Salmon (1885)
"Both these are factors in the discriminant ; and it can have no other, since 181.
The discriminant of u + kv, considered as a function of &, will have a ..."
2. A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on by George Salmon (1879)
"When the curves are all conies, the discriminant, considered as a function of X,
... When m = 3, this tact-invariant is the sixth power of the discriminant; ..."
3. Theory of Differential Equations by Andrew Russell Forsyth (1900)
"THE discriminant IN GENERAL 101. Thus far we have been considering the character
of the integral of the equation F = 0, as determined by assigned initial ..."
4. Multivariate Analysis and Its Applications by Theodore Wilbur Anderson, Ingram Olkin, Kʻai-tʻai Fang (1994)
"Based on these projection indices, robust linear discriminant functions ...
In addition, various cutoff points used in forming robust linear discriminant ..."
5. A Dictionary of Science, Literature, & Art: Comprising the Definitions and by William Thomas Brande, George William Cox (1867)
"discriminant (Lat. discrimino, I separate). The resultant of the system of
equations, formed by equating to zero the several first derived functions of a ..."
6. Report of the Annual Meeting (1903)
"The ease with which properties of the discriminant may be demonstrated depends
on the use ... The origin being taken ou the discriminant we have A,, = 0, ]? ..."
7. An Introduction to the Algebra of Quantics by Edwin Bailey Elliott (1895)
"discriminant of quintic. It will be noticed that the discriminant of the quintic
does not occur among the irreducible invariants 74, 78, 712, 7,8. ..."
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