Concept information
Preferred term
polynomial
Definition
-
In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x2 − 4x + 7. An example with three indeterminates is x3 + 2xyz2 − yz + 1.
Polynomials appear in many areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary word problems to complicated scientific problems; they are used to define polynomial functions, which appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus and numerical analysis to approximate other functions. In advanced mathematics, polynomials are used to construct polynomial rings and algebraic varieties, which are central concepts in algebra and algebraic geometry.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Polynomial)
Broader concept
Narrower concepts
- Abel polynomial
- alternating polynomial
- Bernoulli polynomial
- constant term
- cyclotomic polynomial
- Ehrhart polynomial
- Fekete polynomial
- homogeneous polynomial
- irreducible polynomial
- Kazhdan-Lusztig polynomial
- Laurent polynomial
- Lommel polynomial
- Mahler measure
- Marden's theorem
- orthogonal polynomials
- polynomial equation
- series expansion
- symmetric polynomial
- Vandermonde polynomial
In other languages
-
French
URI
http://data.loterre.fr/ark:/67375/PSR-SNTKWPJM-D
{{label}}
{{#each values }} {{! loop through ConceptPropertyValue objects }}
{{#if prefLabel }}
{{/if}}
{{/each}}
{{#if notation }}{{ notation }} {{/if}}{{ prefLabel }}
{{#ifDifferentLabelLang lang }} ({{ lang }}){{/ifDifferentLabelLang}}
{{#if vocabName }}
{{ vocabName }}
{{/if}}