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), or discriminant function analysis is a generalization of Fisher's linear discriminant...
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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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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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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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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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{\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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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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The Discriminant Book (German: Kenngruppenbuch; literally: Groups to identify the key to the receiver) shortened to K-Book (K. Buch), and also known as...
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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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Optimal Discriminant Analysis (ODA) and the related classification tree analysis (CTA) are exact statistical methods that maximize predictive accuracy...
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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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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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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 which is...
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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...
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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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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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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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quadratic formula and a monic polynomial with real coefficients. If the discriminant of such a polynomial is negative, then both roots of the quadratic equation...
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Weierstrass elliptic function (redirect from Modular discriminant)
{\displaystyle q=e^{\pi i\tau }} is the nome. The modular discriminant Δ is defined as the discriminant of the characteristic polynomial of the differential...
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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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Vandermonde polynomial (section Discriminant)
is widely called the discriminant, though some sources call the Vandermonde polynomial itself the discriminant. The discriminant (the square of the Vandermonde...
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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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4 a c {\displaystyle \textstyle \Delta =b^{2}-4ac} is known as the discriminant of the quadratic equation. If the coefficients a {\displaystyle a}...
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mathematical basis for geostatistics derives from cluster analysis, linear discriminant analysis and non-parametric statistical tests, and a variety of other...
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