Meaning of self-conjugate in English:

self-conjugate

Pronunciation /ˌsɛlfˈkɒndʒʊɡət/

adjective

  • 1Mathematics Geometry
    Designating a triangle in which, with respect to a given conic section, each side lies on the polar of the vertex to which it is opposite. Also: designating a point which intersects its own polar, or a line which intersects its own pole.

  • 2Mathematics
    Of a function: †(a) (in the mathematics of quaternions) a function f for which the scalar part of x ⋅ f (y) is the same as that of y ⋅ f (x), regardless of the choice of x and y (obsolete); (b) (in a Boolean algebra) a function f for which f (x)⋅ y = 0 if and only if f (y)⋅ x = 0 (now rare).

  • 3Mathematics
    Designating a partition in which each row of its Young or Ferrers diagram has the same number of boxes or dots as the corresponding column.

  • 4Mathematics
    rare Designating a matrix that is the transpose of itself; (in later use also) designating a matrix that is identical to the matrix formed from its transpose by taking the complex conjugate of each entry; = "Hermitian".

  • 5Mathematics
    Designating a subgroup that contains every element of the form ghg −1, where h is any element of the subgroup and g any element of the group in which it lies.

Origin

Mid 19th century; earliest use found in George Salmon (1819–1904), mathematician and theologian. From self- + conjugate.