In mathematics, the discriminant of a polynomial is a quantity that depends on the coefficients and allows deducing some properties of the roots without...

Linear discriminant analysis (LDA), normal discriminant analysis (NDA), or discriminant function analysis is a generalization of Fisher's linear discriminant...

Fundamental discriminant Modular discriminant Modified Maddrey's discriminant function Discriminant validity Discriminant analysis Kernel Fisher discriminant analysis...

In psychology, discriminant validity tests whether concepts or measurements that are not supposed to be related are actually unrelated. Campbell and Fiske...

important. For a nonzero square free integer d {\displaystyle d} , the discriminant of the quadratic field K = Q ( d ) {\displaystyle K=\mathbf {Q} ({\sqrt...

In mathematics, the discriminant of an algebraic number field is a numerical invariant that, loosely speaking, measures the size of the (ring of integers...

complex separating surfaces. Quadratic discriminant analysis (QDA) is closely related to linear discriminant analysis (LDA), where it is assumed that...

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...

{\displaystyle i} . The average variance extracted has often been used to assess discriminant validity based on the following "rule of thumb": the positive square...

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...

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...

may not have positive solutions. He understood the importance of the discriminant of the cubic equation to find algebraic solutions to certain types of...

statistics, kernel Fisher discriminant analysis (KFD), also known as generalized discriminant analysis and kernel discriminant analysis, is a kernelized...

Maddrey's discriminant function (DF) is the traditional model for evaluating the severity and prognosis in alcoholic hepatitis and evaluates the efficacy...

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)...

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...

out the small bodies in its orbital zone. Stern and Levison used this discriminant to separate the gravitationally rounded, Sun-orbiting bodies into überplanets...

Optimal Discriminant Analysis (ODA) and the related classification tree analysis (CTA) are exact statistical methods that maximize predictive accuracy...

relevant for Bayesian classification/decision theory using Gaussian discriminant analysis, is given by the generalized chi-squared distribution. The probability...

is widely called the discriminant, though some sources call the Vandermonde polynomial itself the discriminant. The discriminant (the square of the Vandermonde...

stage based on backpropagation. Linear discriminant analysis (LDA) is a generalization of Fisher's linear discriminant, a method used in statistics, pattern...

should be related, are in fact related. Convergent validity, along with discriminant validity, is a subtype of construct validity. Convergent validity can...

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...

{\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...

In mathematics, the conductor-discriminant formula or Führerdiskriminantenproduktformel, introduced by Hasse (1926, 1930) for abelian extensions and by...

Multiple Discriminant Analysis (MDA) is a multivariate dimensionality reduction technique. It has been used to predict signals as diverse as neural memory...

fields is ordered by discriminant, then the proportion of cubic fields which are cyclic approaches zero as the bound on the discriminant approaches infinity...

multiple measurements in taxonomic problems as an example of linear discriminant analysis. It is sometimes called Anderson's Iris data set because Edgar...

finite field extensions K of the rational numbers Q, such that the discriminant of K/Q is at most N. The theorem is named after Charles Hermite and Hermann...

2}+\left({\frac {a}{c}}-{\frac {b^{2}}{4c^{2}}}\right)}}.} Assume that the discriminant q = b2 − 4ac is positive. In that case, define u and A by u = x + b 2...