- In mathematics, an
involutory matrix is a
square matrix that is its own inverse. That is,
multiplication by the
matrix A is an
involution if and only if...
- Look up
involution in Wiktionary, the free dictionary.
Involution may
refer to: Involute, a
construction in the
differential geometry of
curves Agricultural...
- In mathematics, an involution,
involutory function, or self-inverse
function is a
function f that is its own inverse, f(f(x)) = x for all x in the domain...
- &0&\pm 1\end{pmatrix}}} Any such
matrix is its own inverse,
hence is an
involutory matrix. It is
consequently a
square root of the
identity matrix. Note...
- (x*)* = x for all x, y in A. This is also
called an
involutive ring,
involutory ring, and ring with involution. The
third axiom is
implied by the second...
- well as knotted. A
quandle Q {\displaystyle \mathrm {Q} } is said to be
involutory if for all a , b ∈ Q , {\displaystyle a,b\in \mathrm {Q} ,} a ◃ ( a ◃...
- _{z}={\begin{bmatrix}1&0\\0&-1\end{bmatrix}}.} The
Pauli matrices are
involutory,
meaning that the
square of a
Pauli matrix is the
identity matrix. I 2...
-
matrices (also
called the
reversal matrix,
backward identity, or
standard involutory permutation) are
special cases of
permutation matrices,
where the 1 elements...
- operation. In particular, the
identity matrix is invertible. It is an
involutory matrix,
equal to its own inverse. In this group, two
square matrices have...
- U=e^{i{\frac {\pi }{2}}(I-U)}=e^{-i{\frac {\pi }{2}}(I-U)}} , and is
involutory. The CNOT gate can be
further decomposed as
products of
rotation operator...
