polynomial love

# polynomial

## Definitions

### from The American Heritage® Dictionary of the English Language, 4th Edition

• adj. Of, relating to, or consisting of more than two names or terms.
• n. A taxonomic designation consisting of more than two terms.
• n. Mathematics An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers. For example, x2 - 5x + 6 and 2p3q + y are polynomials. Also called multinomial.
• n. Mathematics An expression of two or more terms.

• adj. Able to be described or limited by a polynomial.
• adj. of a polynomial name or entity
• n. 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 .
• n. A taxonomic designation (such as of a subspecies) consisting of more than two terms.

### from the GNU version of the Collaborative International Dictionary of English

• adj. Containing many names or terms; multinominal.
• adj. Consisting of two or more words; having names consisting of two or more words
• n. An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2.

### from The Century Dictionary and Cyclopedia

• Containing many names or terms.
• In Zoöl. and botany, Specifically, noting a method of nomenclature in which the technical names of species are not confined to two terms, the generic and the specific, as they are in the binomial system of nomenclature: as, a polynomial name; a polynomial system of nomenclature: contrasted with binomial and mononomial.
• Also multinomial, plurinominal.
• A technical name consisting of more than two terms; a-polyonym.
• An algebraical expression consisting of two or more terms united by addition: as, Also multinomial.

• n. a mathematical function that is the sum of a number of terms
• adj. having the character of a polynomial

## Etymologies

poly- + (bi)nomial.
(American Heritage® Dictionary of the English Language, Fourth Edition)
poly- + -nomial (Wiktionary)

## Examples

• In the above examples, each piecewise polynomial is defined on an interval with the same length and thus forms a uniform basis.

Wolfram Blog : Splines Come to Mathematica

• The idea was to start a pendulum from several different heights in order to cover a range of velocities and then to use simultaneous algebraic equations to fit a two or three term polynomial to two or three lost-arc data-points, changing the exponents until the polynomial achieved good agreement with the other lost-arc data points.

Newton's Philosophiae Naturalis Principia Mathematica

• This isn't a trivial difference; a model that can solve a problem in polynomial time really is fundamentally more powerful than one that takes exponential time.

Boing Boing: June 8, 2003 - June 14, 2003 Archives

• And there are tons of computational complexity classes above the standard P and NP that represent problems that deterministic and non-deterministic Turing Machines can solve in polynomial time.

Boing Boing: June 8, 2003 - June 14, 2003 Archives

• In this equation, d is called the polynomial's degree.

DevX: Latest Published Articles

• Also, all such calculations are done modulo another polynomial, which is called the irreducible polynomial for the field.

Softpedia - Windows - All

• We call a polynomial p (x) with integer coefficients irreducible if p (x) cannot be written as a product of two polynomials with integer coefficients neither of which is a constant.

LearnHub Activities

• The degree of the polynomial is the degree of the term with highest degree.

Citizendium, the Citizens' Compendium - Recent changes [en]

• -- Key wireless functions such as polynomial generation and multiply - accumulate for de-spreading functions (up to 16 complex code MACs/cycle) -- High precision FFTs with adaptive range management

Marketwire - Breaking News Releases

• (Since any polynomial which is zero in a neighborhood of a point must be identically zero.)

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