Unitary may refer to:
Mathematics
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Unitary divisor In mathematics, a natural number ''a'' is a unitary divisor (or Hall divisor) of a number ''b'' if ''a'' is a divisor of ''b'' and if ''a'' and \frac are coprime, having no common factor other than 1. Thus, 5 is a unitary divisor of 60, because 5 an ...
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Unitary element In mathematics, an element ''x'' of a *-algebra is unitary if it satisfies x^* = x^.
In functional analysis, a linear operator ''A'' from a Hilbert space into itself is called unitary if it is invertible and its inverse is equal to its own a ...
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Unitary group
In mathematics, the unitary group of degree ''n'', denoted U(''n''), is the group of unitary matrices, with the group operation of matrix multiplication. The unitary group is a subgroup of the general linear group . Hyperorthogonal group is ...
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Unitary matrix
In linear algebra, a complex square matrix is unitary if its conjugate transpose is also its inverse, that is, if
U^* U = UU^* = UU^ = I,
where is the identity matrix.
In physics, especially in quantum mechanics, the conjugate transpose is ...
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Unitary morphism
In category theory, a branch of mathematics, a dagger category (also called involutive category or category with involution) is a category equipped with a certain structure called ''dagger'' or ''involution''. The name dagger category was coined b ...
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Unitary operator
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 co ...
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Unitary transformation
In mathematics, a unitary transformation is a transformation that preserves the inner product: the inner product of two vectors before the transformation is equal to their inner product after the transformation.
Formal definition
More precisely, ...
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Unitary representation In mathematics, a unitary representation of a group ''G'' is a linear representation π of ''G'' on a complex Hilbert space ''V'' such that π(''g'') is a unitary operator for every ''g'' ∈ ''G''. The general theory is well-developed in case ''G ...
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Unitarity (physics)
In quantum physics, unitarity is the condition that the time evolution of a quantum state according to the Schrödinger equation is mathematically represented by a unitary operator. This is typically taken as an axiom or basic postulate of quant ...
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''E''-unitary inverse semigroup
Politics
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Unitary authority
A unitary authority is a local authority responsible for all local government functions within its area or performing additional functions that elsewhere are usually performed by a higher level of sub-national government or the national governmen ...
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Unitary state
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 th ...
See also
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Unital (disambiguation) Unital may refer to:
* A unital algebra – an algebra that contains a multiplicative identity element.
* A geometric unital – a block design for integer .
* A unital algebraic structure
In mathematics, an algebraic structure consists of a n ...
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Unitarianism
Unitarianism (from Latin ''unitas'' "unity, oneness", from ''unus'' "one") is a nontrinitarian branch of Christian theology. Most other branches of Christianity and the major Churches accept the doctrine of the Trinity which states that there i ...
, belief that God is one entity
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