adjective. relating to or characterized by or aiming toward unity. “the

**unitary**principles of nationalism”. “a**unitary**movement in politics”. adjective. of or pertaining to or involving the use of units. “a**unitary**method was applied”. “established a**unitary**distance on which to base subsequent calculations”.**unitary state**, a system of political organization in which most or all of the governing power resides in a centralized government, in contrast to a federal state. A brief treatment of the**unitary state**follows. For additional discussion, see Political system:**Unitary**nation-states.**Unitary**may refer to: Mathematics.**Unitary**divisor;**Unitary**element;**Unitary**group;**Unitary**matrix;**Unitary**morphism;**Unitary**operator;**Unitary**transformation;**Unitary**representation; Unitarity (physics) E-**unitary**inverse semigroup; Politics.**Unitary**authority;**Unitary**state; See also. Unital (disambiguation) Unitarianism, belief that God is one entityComplex matrix whose conjugate transpose equals its inverse. For matrices with orthogonality over

**the**real numberfield, see orthogonal matrix. For**the**restriction on**the**allowed evolution**of**quantum systems that ensures**the**sum**of**probabilities**of**all possible outcomes**of**any event always equals 1, see unitarity.A

**unitary**state is a sovereign state governed as a single entity**in**which**the**central**government**is**the**supreme authority.**The**central**government**may create (or abolish) administrative divisions (sub-national units). Such units exercise only**the powers**that**the**central**government**chooses to delegate.A

**unitary**matrix is a square matrix**of**complex numbers, whose inverse is equal to its conjugate transpose. Alternatively,**the**product**of the unitary**matrix and**the**conjugate transpose**of**a**unitary**matrix is equal to**the**identity matrix. i.e., if U is a**unitary**matrix and U H is its complex transpose (which is sometimes denoted as U *) then one /both**of the**following conditions is satisfied.In functional analysis, a

**unitary operator**is a surjective bounded operator on a Hilbert space that preserves the inner product.**Unitary**operators are usually taken as operating on a Hilbert space, but the same notion serves to define the concept of isomorphism between Hilbert spaces. A**unitary**element is a generalization of a**unitary operator**.