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Inverse vs Adjoint - What's the difference?

inverse | adjoint |

In mathematics terms the difference between inverse and adjoint

is that inverse is the inverse of an element x with respect to a binary operation is an element that when combined with x yields the appropriate identity element while adjoint is a matrix in which each element is the cofactor of an associated element of another matrix.

As adjectives the difference between inverse and adjoint

is that inverse is opposite in effect or nature or order while adjoint is used in several situations with a meaning similar to helping.

As nouns the difference between inverse and adjoint

is that inverse is the opposite of a given, due to contrary nature or effect while adjoint is a matrix in which each element is the cofactor of an associated element of another matrix.

As a verb inverse

is to compute the bearing and distance between two points.

inverse

English

Adjective

(-)
  • Opposite in effect or nature or order
  • reverse, opposite in order
  • (botany) Inverted; having a position or mode of attachment the reverse of that which is usual.
  • (mathematics) Having the properties of an inverse; said with reference to any two operations, which, when both are performed in succession upon any quantity, reproduce that quantity.
  • Multiplication is the inverse operation to division.
  • (linguistics, Kiowa-Tanoan) A grammatical number marking that indicates the opposite grammatical number (or numbers) of the default number specification of noun class.
  • (category theory) A morphism which is both a left inverse and a right inverse.
  • Derived terms

    * inverse function * inversely

    Noun

    (en noun)
  • The opposite of a given, due to contrary nature or effect.
  • :: ''Deposing is the inverse of installing, and vice versa
  • The reverse version of a procedure.
  • Removing one's shoes is the inverse of putting one's shoes on
  • (mathematics) The inverse of an element x'' with respect to a binary operation is an element that when combined with ''x yields the appropriate identity element.
  • The additive inverse of x is -x as, x + -x = 0 where 0 is the additive identity element.
    The multiplicative inverse of x is x-1 as, x * x-1 = 1 where 1 is the multiplicative identity element.
    ''The compositional inverse of a function f is f–1 as, f f–1 is the identity function (ie f–1(f(a)) = a for all a).
  • (logic) A statement constructed from the negatives of the premise and conclusion of some other statement: ~p ? ~q is the inverse of p ? q.
  • Verb

    (invers)
  • (surveying) To compute the bearing and distance between two points.
  • Antonyms

    * compute (a point).

    Anagrams

    * ----

    adjoint

    Adjective

    (-)
  • (mathematics) used in several situations with a meaning similar to helping
  • Derived terms

    () * adjoint matrix * adjoint operator * adjoint functor * coadjoint * self-adjoint

    Noun

    (en noun)
  • (mathematics) A matrix in which each element is the cofactor of an associated element of another matrix.
  • (geometry) A curve such that any point of another curve C'' of multiplicity ''r'' has multiplicity at least ''r''–1 on the adjoint. Sometimes the multiple points of ''C are required to be ordinary, and if this condition is not satisfied the term "sub-adjoint" is used.
  • An assistant mayor of a French commune.
  • Derived terms

    () * biadjoint

    References

    * MathWorld ----