(algebra) An expression that gives information about the roots of a polynomial; for example, the expression D = b2 - 4ac determines whether the roots of the quadratic equation ax2 + bx + c = 0 are real and distinct ( D > 0), real and equal ( D = 0) or complex ( D < 0). ...
Example 3: Determine the value(s) of p for which the quadratic equation 2x2 + px + 8 = 0 has equal roots: A) p = ±64 B) p = ±8 C) p = ±4 D) p = ±16Soution: B) The Discriminant of the given equation = 0 [Because the roots are equal] Therefore, p2 –4(2)(8)...
The meaning of DISCRIMINANT is a mathematical expression providing a criterion for the behavior of another more complicated expression, relation, or set of relations.
In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2. The roots of a quadratic or cubic equation with real coefficients are ...
In terms of the roots, the discriminant is equal to Technically, one can derive the formula for the quadratic equation without knowing anything about the discriminant. Then, if you plug derived expressions for the roots into the definition above, you will end up with the . In terms of the...
if d> 0, the roots are real and unequal if d = 0, the roots are real and equal if d < 0, the roots are not real (i.e., complex) free online calculators exponential distribution calculator logarithm calculator geometric sequence calculator adding complex fractions calculator fraction square ...
Discriminant analysis makes the assumptions that the variables are distributed normally, and that the within-groupcovariance matricesare equal. However, discriminant analysis is surprising robust to violation of these assumptions, and is usually a good first choice for classifier development. ...
For a finite abelian extension K/, the conductor-discriminant formula establishes that the absolute value of the discriminant of K is equal to the product of the conductors of the elements of the group of Dirichlet characters associated to K. The simplest proof uses the functional equation for ...
Some theory for Fisher's linear discriminant function, `naive Bayes', and some alternatives when there are many more variables than observations On the Limiting Distribution of Roots of a Determinantal Equation 52 被引用·0 笔记 引用 被引用(9) ...
We show that for any $N>0$ there exists a natural even $n>N$ such that thediscriminant of moduli of K3 surfaces of the degree $n$ is not equal to the setof... VV Nikulin - 《J of Mathematical Sciences》 被引量: 27发表: 1996年 Tables of octic fields with a quartic subfield ...