# Discriminant Sentence Examples

This implies the vanishing of the

**discriminant**of the original form.The expression (ab) 4 properly appertains to a quartic; for a quadratic it may also be written (ab) 2 (cd) 2, and would denote the square of the

**discriminant**to a factor pres.The

**discriminant**is the resultant of ax and ax and of degree 8 in the coefficients; since it is a rational and integral function of the fundamental invariants it is expressible as a linear function of A 2 and B; it is independent of C, and is therefore unaltered when C vanishes; we may therefore take f in the canonical form 6R 4 f = BS5+5BS4p-4A2p5.The way to get around the problem is to use a

**discriminant**in the record declaration.Conclusions The MDAS is a highly consistent and reliable measure which has good

**discriminant**and concurrent validity.By

**discriminant**Chapter Index Here a type can be given a**discriminant**so that a whole family of types may be declared.Approximation of a

**discriminant**function or regression function using a hyperplane.Structural, concurrent, and

**discriminant**validity of the test scores were evaluated.Discriminants.-The

**discriminant**of a homogeneous polynomial in k variables is the resultant of the k polynomials formed by differentiations in regard to each of the variables.For the quadratic it is the

**discriminant**(ab) 2 and for ax2 the cubic the quadratic covariant (ab) 2 axbx.AdvertisementThis method of solution fails when the

**discriminant**R vanishes, for then the Hessian has equal roots, as also the cubic f.The

**discriminant**, whose vanishing is the condition that f may possess two equal roots, has the expression j 2 - 6 i 3; it is nine times the**discriminant**of the cubic resolvent k 3 - 2 ik- 3j, and has also the expression 4(1, t') 6 .The

**discriminant**of the product of two forms is equal to the product of their discriminants multiplied by the square of their resultant.