- Look up
adjoint in Wiktionary, the free dictionary. In mathematics, the term
adjoint applies in
several situations.
Several of
these share a
similar formalism:...
- (2): 294–329. doi:10.2307/1993102. JSTOR 1993102. Lawvere, F. William, "
Adjointness in foundations", Dialectica, 1969. The
notation is
different nowadays;...
-
symmetric operator and a (essentially) self-
adjoint operator is subtle, it is
important since self-
adjointness is the
hypothesis in the
spectral theorem...
- {\displaystyle A} on an
inner product space defines a
Hermitian adjoint (or
adjoint)
operator A ∗ {\displaystyle A^{*}} on that
space according to the...
- mathematics, an
element of a *-algebra is
called self-
adjoint if it is the same as its
adjoint (i.e. a = a ∗ {\displaystyle a=a^{*}} ). Let A {\displaystyle...
- In
quantum field theory, the
Dirac adjoint defines the dual
operation of a
Dirac spinor. The
Dirac adjoint is
motivated by the need to form well-behaved...
- In mathematics, the
adjoint representation (or
adjoint action) of a Lie
group G is a way of
representing the
elements of the
group as
linear transformations...
-
adjoint by F and G. For example, f∗ is the left
adjoint of f*. By the
standard reasoning with
adjointness relations,
there are
natural unit and
counit morphisms...
-
classical adjoint of a
square matrix A, adj(A), is the
transpose of its
cofactor matrix. It is
occasionally known as
adjunct matrix, or "
adjoint", though...
- An
adjoint equation is a
linear differential equation,
usually derived from its
primal equation using integration by parts.
Gradient values with respect...
