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Polynomial vs Irrational - What's the difference?

polynomial | irrational |

As adjectives the difference between polynomial and irrational

is that polynomial is able to be described or limited by a polynomial while irrational is not rational; unfounded or nonsensical.

As nouns the difference between polynomial and irrational

is that polynomial is 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 a_n x^n + a_{n-1}x^{n-1} + ... + a_0 x^0 while irrational is a real number that can not be expressed as the quotient of two integers, an irrational number.

polynomial

English

(wikipedia polynomial)

Adjective

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

    • Noun

    (en noun)
  • (algebra) 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 a_n x^n + a_{n-1}x^{n-1} + ... + a_0 x^0.
  • (taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.

    • Derived terms

    * polynomial complexity * polynomial equation * polynomial sequence * polynomial interpolation

    See also

    * monomial ----

    irrational

    English

    Adjective

    (en adjective)
  • Not rational; unfounded or nonsensical.
    • an irrational decision
  • * July 18 2012 , Scott Tobias, AV Club The Dark Knight Rises [http://www.avclub.com/articles/the-dark-knight-rises-review-batman,82624/]
    • Where the Joker preys on our fears of random, irrational acts of terror, Bane has an all-consuming, dictatorial agenda that’s more stable and permanent, a New World Order that’s been planned out with the precision of a military coup.
  • (mathematics, arithmetic, number theory, not comparable) Of a real number, that cannot be written as the ratio of two integers.
    • The number π is irrational .

    Antonyms

    * (mathematics) rational

    Hyponyms

    * (mathematics) transcendental

    Derived terms

    * irrational number * irrationality * irrationalize * irrationalization

    Noun

    (en noun)
  • A real number that can not be expressed as the quotient of two integers, an irrational number.
  • * 1946 , (Bertrand Russell), History of Western Philosophy , I.24:
    • The square root of 2, which was the first irrational to be discovered, was known to the early Pythagoreans, and ingenious methods of approximating to its value were discovered.