different between polynomial vs contravariant

English

Etymology

poly- +? -nomial, from ????? (nomós, “portion, part”), by analogy with binomial.

Noun

polynomial (plural polynomials)

1. (algebra, strict sense) An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as ${\displaystyle a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{0}x^{0}}$.
2. (taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.

Hyponyms

• binomial
• homogeneous polynomial
• monomial
• trinomial
• quadrinomial
• quantic

Holonyms

• rational function

Derived terms

Translations

Adjective

polynomial (not comparable)

1. (algebra) Able to be described or limited by a polynomial.
2. (taxonomy) of a polynomial name or entity

Translations

See also

• Appendix:English polynomial degrees

French

Adjective

polynomial (feminine singular polynomiale, masculine plural polynomiaux, feminine plural polynomiales)

1. polynomial

Related terms

• polynôme

English

Adjective

contravariant (not comparable)

1. (category theory, of a functor) which reverses composition
2. (object-oriented programming) Using or relating to contravariance.

Translations

Noun

contravariant (plural contravariants)

1. (algebra) A bihomogeneous polynomial in dual variables of x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations.

Translations