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polynomial

polynomial

2 8.1
Having the form of an expression with numbers multiplied by letters raised to whole number powers
  • adjective
  • /ˌpɒlɪˈnoʊmiəl/
  • Specialized
translation icon : polinómico
  • In algebra, a polynomial expression can have multiple terms and coefficients, making it more complex than a simple linear equation.
  • polynomial function
  • polynomial regression
  • polynomial time

Examples

  • The new Division 2 contains hundreds of equations and polynomial expressions for curve fits used in the design rules.

    Academic text (2009)
  • In seminal work, Dasgupta put forth a polynomial-time clustering approach for learning GMMs that is provably accurate under certain assumptions.

    Academic text (2012)
  • The net result was that checking each equation, figure, and polynomial expression would have been a major undertaking.

    Academic text (2009)
  • Note: The solid line represents a first-order polynomial fit to the data.

    Academic text (1997)
  • The trend line was drawn using polynomial smoothing.

    Academic text (2006)
  • OK, so this is a linear, this is also a polynomial time algorithm for solving linear programs.

  • The runtime of the estimation algorithm is polynomial in the number of samples.

    Academic text (2012)
  • As designed, the Difference Engine would have calculated polynomial functions via the movement of stacks of toothed wheels.

    Academic text (2003)
  • A 9th-grade mathematics teacher uses an overhead projector to demonstrate how to solve for x when working on polynomial equations.

    Academic text (2013)
  • The iterative fitting of polynomial functions to the ecstasy use data indicated that a five-group model best fit the data.

    Academic text (2018)

Compounds

9.9

A math expression whose highest power of x is four

6.6

The highest power of the variable in a polynomial

monic polynomial
  • Specialized
8.1

A polynomial whose highest power term has the number 1 in front

9.9

A polynomial whose terms all have the same total degree

quartic polynomial
  • Specialized
9.9

A math expression with a variable raised to the fourth power as highest term

quadratic polynomial
  • Specialized
7.7

A math expression with x squared, x, and a number where the x squared part is not zero

How Complex

multinomial
  • Specialized
8.6
polynomial
  • Specialized
2 8.1
binomial
  • Specialized
1 7.6
monomial
  • Specialized
7.7

Surface Forms

polynomial positive

Morphology

polynomial = poly + nomial

The prefix poly- 'many' is recognisable, but the stem -nomial is not a standalone English word and the technical mathematical meaning is learned as part of a specialised pattern.

Etymology

Polynomial used as an adjective comes from poly- 'many' and -nomial 'term', so it means 'having many terms'. That's why we call a function or an equation 'polynomial' when it has the form of a sum of several terms.