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Adjoins vs Adjoint - What's the difference?

adjoins | adjoint |

As a verb adjoins

is (adjoin).

As an adjective adjoint is

(mathematics) used in several situations with a meaning similar to helping.

As a noun adjoint is

(mathematics) a matrix in which each element is the cofactor of an associated element of another matrix.

adjoins

English

Verb

(head)
  • (adjoin)
    • ----

    adjoin

    English

    Verb

    (en verb)
  • To be in contact or connection with.
    • The living room and dining room adjoin each other.
  • (transitive, mathematics, chiefly, algebra, and, number theory) To extend an algebraic object (e.g. a field, a ring etc.) by adding to it (an element not belonging to it) and all finite power series of (the element).
    • \textbf{Q}\left(\sqrt{2}\right) can be obtained from \textbf{Q} by adjoining \sqrt{2} to \textbf{Q} .

    Derived terms

    * adjoining

    Related terms

    * adjunction

    adjoint

    English

    (wikipedia 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 ----