How to use Discriminant in a sentence

This implies the vanishing of the discriminant of the original form.

The way to get around the problem is to use a discriminant in the record declaration.

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.

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.

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.

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

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.

For the quadratic it is the discriminant (ab) 2 and for ax2 the cubic the quadratic covariant (ab) 2 axbx.

Approximation of a discriminant function or regression function using a hyperplane.

Structural, concurrent, and discriminant validity of the test scores were evaluated.

This 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 .