In mathematics, the discriminant of a polynomial is a quantity that depends on the coefficients and allows deducing some properties of the roots without...
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Linear discriminant analysis (LDA), normal discriminant analysis (NDA), canonical variates analysis (CVA), or discriminant function analysis is a generalization...
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Fundamental discriminant Modular discriminant Modified Maddrey's discriminant function Discriminant validity Discriminant analysis Kernel Fisher discriminant analysis...
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In psychology, discriminant validity tests whether concepts or measurements that are not supposed to be related are actually unrelated. Campbell and Fiske...
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In mathematics, the discriminant of an algebraic number field is a numerical invariant that, loosely speaking, measures the size of the (ring of integers...
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statistics, kernel Fisher discriminant analysis (KFD), also known as generalized discriminant analysis and kernel discriminant analysis, is a kernelized...
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Quadratic field (section Discriminant)
important. For a nonzero square free integer d {\displaystyle d} , the discriminant of the quadratic field K = Q ( d ) {\displaystyle K=\mathbf {Q} ({\sqrt...
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should be related, are in fact related. Convergent validity, along with discriminant validity, is a subtype of construct validity. Convergent validity can...
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Elliptic curve (redirect from Discriminant of an elliptic curve)
the discriminant is useful in a more advanced study of elliptic curves.) The real graph of a non-singular curve has two components if its discriminant is...
54 KB (8,439 words) - 06:57, 19 June 2025
Hessian matrix (redirect from Discriminant of a real-valued function)
Hessian at x {\displaystyle \mathbf {x} } is called, in some contexts, a discriminant. If this determinant is zero then x {\displaystyle \mathbf {x} } is called...
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In mathematics, the conductor-discriminant formula or Führerdiskriminantenproduktformel, introduced by Hasse (1926, 1930) for abelian extensions and by...
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Algebraic number field (redirect from Dedekind discriminant theorem)
determinant of this is 1304 = 23·163, the field discriminant; in comparison the root discriminant, or discriminant of the polynomial, is 5216 = 25·163. Mathematicians...
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may not have positive solutions. He understood the importance of the discriminant of the cubic equation to find algebraic solutions to certain types of...
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Youden's J statistic (redirect from Hanssen–Kuipers discriminant)
statistic is referred to as Peirce Skill Score (PSS), Hanssen–Kuipers Discriminant (HKD), or True Skill Statistic (TSS). (Bookmaker) Informedness is its...
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Quadratic equation (section Discriminant)
roots. In this case the discriminant determines the number and nature of the roots. There are three cases: If the discriminant is positive, then there...
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Multiple Discriminant Analysis (MDA) is a multivariate dimensionality reduction technique. It has been used to predict signals as diverse as neural memory...
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Weierstrass elliptic function (redirect from Modular discriminant)
q=e^{\pi i\tau }} is the nome. The modular discriminant Δ {\displaystyle \Delta } is defined as the discriminant of the characteristic polynomial of the...
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stage based on backpropagation. Linear discriminant analysis (LDA) is a generalization of Fisher's linear discriminant, a method used in statistics, pattern...
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Quadratic classifier (redirect from Quadratic Discriminant Analysis)
complex separating surfaces. Quadratic discriminant analysis (QDA) is closely related to linear discriminant analysis (LDA), where it is assumed that...
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Multivariate normal distribution (redirect from Gaussian discriminant analysis)
relevant for Bayesian classification/decision theory using Gaussian discriminant analysis, is given by the generalized chi-squared distribution. The probability...
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multiple measurements in taxonomic problems as an example of linear discriminant analysis. It is sometimes called Anderson's Iris data set because Edgar...
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{\displaystyle i} . The average variance extracted has often been used to assess discriminant validity based on the following "rule of thumb": the positive square...
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Cubic field (section Discriminant)
fields is ordered by discriminant, then the proportion of cubic fields which are cyclic approaches zero as the bound on the discriminant approaches infinity...
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Central simple algebra (redirect from Reduced discriminant)
In ring theory and related areas of mathematics a central simple algebra (CSA) over a field K is a finite-dimensional associative K-algebra A that is simple...
8 KB (1,140 words) - 04:54, 10 December 2024
the discriminant Δ = A 0 A 2 − A 1 2 . {\displaystyle \displaystyle \Delta =A_{0}A_{2}-A_{1}^{2}.} The symbolic representation of the discriminant is 2...
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Maddrey's discriminant function (DF) is the traditional model for evaluating the severity and prognosis in alcoholic hepatitis and evaluates the efficacy...
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1 (discriminant 49) x3 − 3x − 1 (discriminant 81) x3 − x2 − 3x + 1 (discriminant 148) x3 − x2 − 4x − 1 (discriminant 169) x3 − 4x − 1 (discriminant 229)...
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the fifth discriminant of imaginary quadratic fields with class number 5, where the 131st prime number 739 is the fifteenth such discriminant. Meanwhile...
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Hyperdeterminant (section As a discriminant)
originated in 1845 and is often denoted "Det". This definition is a discriminant for a singular point on a scalar valued multilinear map. Cayley's first...
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out the small bodies in its orbital zone. Stern and Levison used this discriminant to separate the gravitationally rounded, Sun-orbiting bodies into überplanets...
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