Unitary state (5163 bytes)
1: ...s ("[[devolved government]]"), but in a ''unitary state'' the central government has the principal right ...
3: ... government is known as ''devolution.'' A Unitary state can broaden and narrow the functions of such ''de...
5: ...be given as an example of the opposite, a unitary state lacking [[Subnational entity|subnational]] govern...
7: ... whose governments exercise similar powers to the states but by virtue of delegation of powers from the n...
9: ...ved) to them by the state's constitution and/or [[state legislature]].

Unitary (169 bytes)
2: *[[Unitary state]]
5: *[[Unitary matrix]]
6: *[[Unitary operator]]
7: *[[Unitary group]]
8: *[[Unitary representation]]

Unitary group (1171 bytes)
2: ...atics)|group]] of ''n'' by ''n'' [[unitary matrix|unitary matrices]] with entries from ''F'', with the grou...
4: ...plex plane, under multiplication. All the complex unitary groups contain copies of this group.
6: ...mplex numbers one usually writes U(''n'') for the unitary group of degree ''n''.
8: The unitary group U(''n'') is a ''real'' [[Lie group]] of dim...
10: ''See also'': [[Special unitary group]]

Unitary equivalence (194 bytes)
1: *For '''unitary equivalence''' of [[bounded operator]]s in [[Hilb...
2: *For '''unitary equivalence''' of [[unitary representation]]s see that page.

Unitary matrix (1841 bytes)
1: In [[mathematics]], a '''unitary matrix''' is a ''n'' by ''n'' [[complex number|co...
5: .... Note this condition says that a matrix ''U'' is unitary if it has an [[inverse matrix|inverse]] which is ...
7: A unitary matrix in which all entries are real is the same ...
9: so also a unitary matrix ''U'' satisfies
11: ...product]] on '''C'''^''n''. A matrix is unitary if and only if its columns form an [[orthonormal ...

Unitary operator (820 bytes)
1: In [[functional analysis]], a '''unitary operator''' is a [[bounded linear operator]] ''U'...
12: ...y operator is a generalisation of the notion of a unitary matrix.
14: Unitary operators implement [[isomorphism]]s between [[op...
19: [[Category:Unitary operators]]

Unitary transformation (284 bytes)
1: ...[[antiisomorphism]]; that corresponds to an [[antiunitary]] transformation) between two [[Hilbert space]]s ...
3: See also [[unitary matrix]], [[unitary operator]]

Unitary authority (4024 bytes)
1: A '''unitary authority''' is a term used in a two-tier local g...
5: ...ham Islands Council]] is not usually considered a unitary authority, although it is considered a regional c...
15: ...in [[1974]]. It was not until the [[1990s]] that unitary authorities would be created in the UK.
17: ===Creation of unitary authorities===
19: ...ganisation; and the [[Isle of Wight]], (the first Unitary Authority created after the 1992 Act, and arguabl...

Unitary transform (520 bytes)
1: ...r transformation]] that can be represented by a [[unitary matrix]].
3: Informally, a unitary transform changes the representation of a vector ...

Unitary representation (3310 bytes)
1: ...ilbert space]] ''V'' such that π(''g'') is a [[unitary operator]] for every ''g'' ∈ ''G''. The gene...
3: ... unitary representations of ''G'' makes up its '''unitary dual'''. This set can be identified to the [[spe...
5: ...e by the [[Peter-Weyl theorem]]; in that case the unitary dual is a [[discrete space]], and the measure att...
7: ... the pioneers in constructing a general theory of unitary representations was [[George Mackey]].
13: ...''H'' is a group homomorphism from ''G'' into the unitary group of ''H'',

Unitary perfect number (668 bytes)
1: ...teger]] which is the sum of its positive proper [[unitary divisor]]s, not including the number itself.
3: ... 1 + 3 + 4 + 5 + 12 + 15 + 20 = 60. The first few unitary perfect numbers are
7: ...own whether or not there are infinitely many even unitary perfect numbers.

Special unitary group (5172 bytes)
1: ...ten as SU(''n''). This is a [[subgroup]] of the [[unitary group]] U(''n''), itself a [[subgroup]] of the [[...
5: The special unitary group SU(''n'') is a [[real number|real]] [[Lie g...

Unitary Democratic Coalition (Portugal) (251 bytes)
1: The '''Unitary Democratic Coalition''' (Portuguese: '''''Coliga...

Unitary representations of a star Lie superalgebra (1627 bytes)
5: A '''[[unitary representation]]''' of such a Lie algebra is a <b...
7: ...</b> is the unitary rep and also, <b>H</b> is a [[unitary representation]] of A.

Stone's theorem on one-parameter unitary groups (2503 bytes)
1: ...rem''' on [[one-parameter group|one-parameter]] [[unitary]] groups is a basic theorem of [[functional analy...
2: of unitary operators
14: ... referred to as strongly continuous one-parameter unitary groups. The theorem is named after [[Marshall St...
16: The formal statement is as follows:
22: is a strongly continuous one-parameter family of unitary operators. The [[infinitesimal generator]] of {'...

State University of New York State College of Optometry (1216 bytes)
1: ...t is the only institution of its kind in New York State.
5: ...rs, and has resources unsurpassed in the [[United States]] for this type of institution.
8: ...tp://www.sunyopt.edu State University of New York State College of Optometry]
13: [[Category:State University of New York]]

Red state vs. blue state divide (8049 bytes)
1: ...election|presidential election]]s in the [[United States]].
3: ...ions map.png|center|400px|thumb|Map of results by state of the [[U.S. presidential election, 2004]]]]
5: ... appear on the [[Flag of the United States|United States flag]]. This leads to some humour&mdash;red bei...
48: ...aturing the largest metropolitan areas being blue states.
52: ...sidential election, 1964|1964]]. Other strong red states include [[Alabama]], [[Mississippi]], [[North Ca...

Heads of State of the Congo Free State (1163 bytes)
1: === List of Heads of State of the [[Congo Free State]] ===

Associated state (2380 bytes)
1: An '''associated state''' is a territory that effectively has independen...
4: ...], and the [[Marshall Islands]] with the [[United States]] (these US relationships are known as the [[Com...
7: ...ion policy, and currency. However, the associated state does not usually have any political integration w...
11: ...handled by the sovereign power, but an associated state can operate its own diplomatic missions, independ...
13: ...tehood Act [[1967]]. Under this arrangement, each State had full control, over its [[Constitution]], alth...

State of Wu (1573 bytes)
1: ...the [[State of Chu]]. Considered a semi-barbarian state by ancient Chinese historians, its capital was [[...
3: ...er being persuaded by Wuchen, a minister of the [[State of Jin]] who defected from Chu.
5: ...n, and turned to other campaigns, defeating the [[State of Qi]] in 484 BC.
7: ...482 BC and conquered the capital. Eventually, the State of Yue conquered Wu in 473 BC.
11: [[Category:Ancient Chinese states]]

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