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mathematical expression of the second degree in one or more unknowns (see polynomialpolynomial,
mathematical expression which is a finite sum, each term being a constant times a product of one or more variables raised to powers. With only one variable the general form of a polynomial is a0xn+a1x
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). The general quadratic in one unknown has the form ax2+bx+c, where a, b, and c are constants and x is the variable. A quadratic equation ax2+bx+c=0 always has two rootsroot,
in mathematics, number or quantity r for which an equation f(r)=0 holds true, where f is some function. If f is a polynomial, r is called a root of f; for example, r=3 and r
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, not necessarily distinct; these may be real or complex (see numbernumber,
entity describing the magnitude or position of a mathematical object or extensions of these concepts. The Natural Numbers

Cardinal numbers describe the size of a collection of objects; two such collections have the same (cardinal) number of objects if their
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). The quadratic formula

gives the roots of any quadratic equation in terms of its coefficients a, b, and c. The expression b2−4ac is called the discriminant and vanishes when the two roots coincide. If a, b, and c are real and the discriminant is not less than zero, the roots are real.


[kwä ′drad·ik]
Any second-degree expression.


1. an equation containing one or more terms in which the variable is raised to the power of two, but no terms in which it is raised to a higher power
2. of or relating to the second power
References in periodicals archive ?
On day 21, IL-2 content increased quadratically with increasing addition of arginine (P=0.
and since A is stable and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], we have [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] quadratically as j [right arrow] [infinity].
And these methods can be broadly divided into two groups: the linearly constrained [1,6,7] and quadratically constrained beamformers [11-16].
Many existing papers ignore mortality correlations to simplify their calibration procedures because the correlations to be estimated grow quadratically with the number of countries of interests.
However, as the instances become more complex, the number of clauses added by the pairwise encoding increases quadratically.
Zhang, an assistant professor of bioengineering at Rice University, said that in terms of specificity, our research suggests that we can do quadratically better, meaning that whatever the best level of specificity, our best will be that number squared.
Systematic errors were added quadratically after pooling of individual U-Th-Pb measurements.
For the Cambisol, the productivity did not fit either linearly or quadratically, with the highest productivity mean obtained for the level of 25% of wastewater.
2004) observed that an increase in P in the cultivation substrate of Mentha arvensis (Lamiaceae) quadratically increased the content of mentol monoterpene in the essential extract.
The thrust force quadratically depends on the current and is approximately linear with respect to the surface of the conductive sheet on the mover.
Indeed, using (5), one infers that for these particles, the Hamiltonian density depends quadratically on the Hamiltonian.