Wiktionarypar unitaryUnitary may refer to Unitary construction, in automotive design, another common term for a unibody or monocoque construction Lethal Unitary Chemical Agents and Munitions Unitary as chemical weapons opposite of Binary chemical weapon Binary Unitarianism , in Christian doctrine, the belief in a unitary God as opposed to the concept of the Trinity Unitarian Universalism sometimes called Unitarianism , an interfaith church which draws its name from an interfaith concept of unitary God types of political regions Unitary state Unitary authority Unitary enterprise , a type of government owned corporation in Russia and Belarus Unitary executive theory , a theory of American constitutional law Mathematics Inverse semigroup E unitary inverse semigroups E unitary inverse semigroups Unitary matrix Unitary operator Unitary transformation Unitary group Unitary representation Unital disambiguation Unitarity physics Music http www.unitary.net Unitary in music is an electronic act from Sweden, currently based in Stockholm. It was founded in 2001 by Johan Hansson who writes the music, lyrics, and does the recording himself. disambig es Unitario fr Unitaire ... more details
For unitary equivalence of bounded operator s in Hilbert space , see self adjoint operator . For unitary equivalence of unitary representation s see that page. mathdab ... more details
Refimprove date March 2009 Orphan date March 2009 A unitary controller in the HVAC industry refers to a device that controls only one zone in a building. Unitary Controllers are controllers that use the Public Unitary Protocol, therefore any controller using BACnet cannot be a unitary controller. Category Automation Category Network protocols ... more details
unreferenced date June 2009 A unitary enterprise is a government owned corporation in Russia and some other post Soviet states . Unitary enterprises are business entities that have no ownership rights to the assets they use in their operations. This form is only possible for state and municipal enterprises, which operate state or municipal property, respectively. The owners of the property of a unitary enterprise have no responsibility for its operation and vice versa. Russia The legal status of unitary enterprises in Russia is defined in Federal Law No. 161 FZ On State and Municipal Unitary Enterprises , which was approved by the State Duma on October 11, 2002 and signed by President of Russia President Vladimir Putin Putin on November 14, 2002. The assets of unitary enterprises belong to the federal government, a Russian region, or a municipality. A unitary enterprise holds assets under economic management for both state and municipal unitary enterprises or operative management for state unitary enterprises only , and such assets may not be distributed among the participants, nor otherwise divided. A unitary enterprise is independent in economic issues and obliged only to give its profits to the state. Unitary enterprises have no right to set up subsidiaries, but, with the owner s consent, can open branches and representation offices. Examples Mashpriborintorg Russian Post Russian Television and Radio Broadcasting Network TsNIIMash . See also Civil Code of Russia Russia stub Category Types of business entity Category Economy of Russia Category Companies of Russia nl Gecentraliseerd bedrijf ru fi Unitary enterprise uk ... more details
In mathematics , a unitary matrix is a square math n times n math complex number complex matrix mathematics matrix math U math satisfying the condition math U dagger U UU dagger I n , math where math I n math is the identity matrix in n dimensions and math U dagger math is the conjugate transpose also ... is unitary if and only if it has an inverse matrix inverse which is equal to its conjugate transpose math U dagger , math math U 1 U dagger , math A unitary matrix in which all entries are real is an orthogonal ... also a unitary matrix math U math satisfies math langle Ux, Uy rangle langle x, y rangle math for all ... are all equivalent conditions math U , math is unitary math U dagger , math is unitary the columns ... U , math is a normal matrix with eigenvalues lying on the unit circle . Properties All unitary matrices are normal matrix normal , and the spectral theorem therefore applies to them. Thus every unitary ... is unitary, and math Sigma math is diagonal and unitary. That is, a unitary matrix is diagonalizable matrix diagonalizable by a unitary matrix. For any unitary matrix math U math , the following hold ... is also unitary. math U , math preserves length isometry math Ux 2 x 2 math . if math U , math has ... of all n by n unitary matrices with matrix multiplication forms a group mathematics group , called unitary group U n . Any unit norm matrix is the average of two unitary matrices. As a consequence, every math n times n math matrix is a linear combination of two unitary matrices. ref cite book first1 ... 1 ref See also Orthogonal matrix Hermitian matrix Symplectic matrix Unitary group Special unitary group Unitary operator Matrix decomposition Identity matrix References reflist External links MathWorld urlname UnitaryMatrix title Unitary Matrix last Rowland first Todd SpringerEOM id U u095540 title Unitary matrix first O. A. last Ivanova DEFAULTSORT Unitary Matrix Category Matrices Category Unitary ... sl Unitarna matrika fi Unitaarinen matriisi sv Unit r matris uk ur Unitary ... more details
In mathematics, a unitary transformation may be informally defined as a transformation mathematics transformation that respects the inner product the inner product of two vectors before the transformation is equal to their inner product after the transformation. More precisely, a unitary transformation is an isomorphism between two Hilbert space s. In other words, a unitary transformation is a bijective function math U H 1 to H 2 , math where math H 1 math and math H 2 math are Hilbert spaces, such that math langle Ux, Uy rangle langle x, y rangle math for all math x math and math y math in math H 1 math . A unitary transformation is an isometry , as one can see by setting math x y math in this formula. In the case when math H 1 math and math H 2 math are the same space, a unitary transformation is an automorphism of that Hilbert space, and then it is also called a unitary operator . A closely related notion is that of antiunitary transformation , which is a bijective function math U H 1 to H 2 , math between two complex number complex Hilbert spaces such that math langle Ux, Uy rangle overline langle x, y rangle langle y, x rangle math for all math x math and math y math in math H 1 math , where the horizontal bar represents the complex conjugate . See also Time reversal antiunitary Unitary group Unitary operator Unitary matrix Wigner s Theorem Mathanalysis stub Category Linear algebra Category Functional analysis fr Transformation unitaire ja pl Przekszta cenie unitarne ru uk ... more details
In mathematics , a unitary representation of a Group mathematics group G is a linear representation of G on a complex Hilbert space V such that g is a unitary operator for every g G . The general theory is well developed in case G is a locally compact Hausdorff topological group and the representations ... in constructing a general theory of unitary representations, for any group G rather than ... The theory of unitary representations of groups is closely connected with harmonic analysis . In the case ... by Pontryagin duality . In general, the unitary equivalence classes of irreducible representation irreducible unitary representations of G make up its unitary dual . This set can be identified with the spectrum ... on the unitary dual. For G abelian this is given by the Pontryagin duality theory. For G Compact group compact , this is done by the Peter Weyl theorem in that case the unitary dual is a discrete space ... Let G be a topological group. A strongly continuous unitary representation of G on a Hilbert space H is a group homomorphism from G into the unitary group of H , math pi G rightarrow operatorname U H ... A unitary representation is completely reducible , in the sense that for any closed invariant subspace ..., but is a fundamental property. For example, it implies that finite dimensional unitary ... unitary representations are much easier to handle than the general case, it is natural to consider unitarizable representations , those that become unitary on the introduction of a suitable complex ... structure. For example, a natural proof of Maschke s theorem is by this route. Unitarizability and the unitary ... of the unitary dual , the effective classification of irreducible unitary representations of all real Reductive group reductive Lie group s. All Irreducible representation irreducible unitary representations ... Warner year 1972 publisher Springer Verlag isbn 0 387 05468 5 See also Unitary representation of a star ... function Induced representations Stone von Neumann theorem Category Unitary representation theory ... more details
, a unitary operator not to be confused with a unity operator is a bounded linear operator U ... a bounded inverse U sup &minus 1 sup . It is clear that U sup &minus 1 sup U sup sup . Thus, unitary .... The group mathematics group of all unitary operators from a given Hilbert space H to itself is sometimes ... . ref harv Halmos 1982 loc Sect. 127, page 69 ref A unitary element is a generalization of a unitary operator. In a unital algebra unital algebra , an element U of the algebra is called a unitary ... function is trivially a unitary operator. Rotations in R sup 2 sup are the simplest nontrivial example of unitary operators. Rotations do not change the length of a vector or the angle between 2 vectors ... by a number of absolute value 1, that is, a number of the form e sup i sup for R , is a unitary ..., and so the independent unitary operators on C are parametrized by a circle. The corresponding group, which, as a set, is the circle, is called U 1 . More generally, unitary matrix unitary matrices are precisely the unitary operators on finite dimensional Hilbert space s, so the notion of a unitary operator is a generalization of the notion of a unitary matrix. Unitary matrix Orthogonal matrices are the special case of unitary matrices in which all entries are real. They are the unitary operators ... s is unitary. In general, any operator in a Hilbert space which acts by shuffling around an orthonormal basis is unitary. In the finite dimensional case, such operators are the permutation ... operator is a unitary operator, i.e. the operator which performs the Fourier transform with proper normalization . This follows from Parseval s theorem . Unitary operators are used in unitary representation s. Linearity The linearity requirement in the definition of a unitary operator can ... Uy , U x y Ux Uy rangle 0 math . Properties The spectrum functional analysis spectrum of a unitary operator ... of U , lies on the unit circle. See also unitary transformation antiunitary Footnotes Reflist ... more details
In mathematics , a natural number a is a unitary divisor of a number b if a is a divisor of b and if a and math frac b a math are coprime , having no common factor other than 1. Thus, 5 is a unitary divisor of 60, because 5 and math frac 60 5 12 math have only 1 as a common factor, while 6 is a divisor but not a unitary divisor of 60, as 6 and math frac 60 6 10 math have a common factor other than 1, namely 2. 1 is a unitary divisor of every natural number. Equivalently, a given divisor a of b is a unitary divisor iff every prime factor of a has the same multiplicity mathematics multiplicity in a as it has in b . The sum of unitary divisors function is denoted by the lowercase Greek letter sigma thus n . The sum of the k th powers of the unitary divisors is denoted by sub k sub n math sigma k n sum d mid n, gcd d,n d 1 d k. math If the proper unitary divisors of a given number add up to that number, then that number is called a unitary perfect number . Properties The number of unitary divisors of a number n is 2 sup k sup , where k is the number of distinct prime factor s of n . The sum of the unitary divisors of n is odd if n is a power of 2 including 1 , and even otherwise. Both the count and the sum of the unitary divisors of n are multiplicative function s of n that are not completely multiplicative. The Dirichlet series Dirichlet generating function is math frac zeta s zeta s k zeta 2s k sum n ge 1 frac sigma k n n s . math Odd unitary divisors The sum of the k th powers of the odd unitary divisors is math sigma k o n sum d mid n, d equiv 1 pmod 2, gcd d,n d 1 d k. math It is also multiplicative, with Dirichlet generating function math frac zeta s zeta s k 1 2 k s zeta ... Cohen title Arithmetical functions associated with the unitary divisors of an integer journal Mathematische ... first1 Eckford last1 Cohen title The number of unitary divisors of an integer volume 67 number ... csolve try.pdf year 2004 External links MathWorld urlname UnitaryDivisor title Unitary Divisor ... more details
Groups Lie groups In mathematics , the unitary group of degree n , denoted U n , is the group mathematics group of n × n unitary matrix unitary matrices , with the group operation that of matrix multiplication . The unitary group is a subgroup of the general linear group GL n , C . Hyperorthogonal group is an archaic name for the unitary group, especially over finite fields. In the simple case ... number Absolute value and distance absolute value 1 under multiplication. All the unitary groups contain copies of this group. The unitary group U n is a real Lie group of dimension n sup 2 sup . The Lie ... bracket given by the commutator . The general unitary group also called the group of unitary ... matrix , and is just the product of the unitary group with the group of all positive multiples of the identity matrix. Properties Since the determinant of a unitary matrix is a complex number with norm ... group theory kernel of this homomorphism is the set of unitary matrices with determinant 1. This subgroup is called the special unitary group , denoted SU n . We then have a short exact sequence ... ..., 1 . The unitary group U n is nonabelian group nonabelian for n > 1. The center ... abelian normal subgroup of U n , the unitary group is not Semisimple algebraic group semisimple . Topology The unitary group U n is endowed with the relative topology as a subset of M sub n sub ... and bounded subset of M sub n sub C . To show that U n is connected, recall that any unitary matrix A can be diagonalized by another unitary matrix S . Any diagonal unitary matrix must have complex ... by math t mapsto S , mbox diag e it theta 1 , dots,e it theta n ,S 1 . math The unitary group ... mathbf Z . math The first unitary group U 1 is topologically a circle , which is well known to have ... property The unitary group is the 3 fold intersection of the orthogonal group orthogonal , symplectic ... Thus a unitary structure can be seen as an orthogonal structure, a complex structure, and a symplectic ... more details
A unitary urbanism the synthesis of art and technology that we call for must be constructed according ... the Situationist International SI in 1960 http www.notbored.org ten years on.html . Unitary urbanism, one of the major early Situationist concerns http www.socialfiction.org psychogeography unitary urbanism.html ..., and stimulating ambience. Unitary Urbanists Lettrist International Guy Debord Constant Nieuwenhuys ... aiming at the construction of entire atmospheres and styles of life. . . . A unitary urbanism ... 27 Paris, 2 November 1956 . External links http www.socialfiction.org psychogeography unitary urbanism.html History of Unitary Urbanism and Psychogeography at the Turn of the Sixties DEFAULTSORT Unitary ... more details
unreferenced date March 2012 Infobox political party country Greece colorcode green party name br Unitary Movement party logo File UnitaryMovement.jpg 175px leader Panagiotis Kouroumplis foundation 2011 founder Panagiotis Kouroumplis headquarters 1, Nikis & Apollonos Street Athens ideology Democratic socialism br Social democracy position Centre left national Coalition of the Radical Left international european europarl colours green , yellow , red website URL http www.enotikinisi.gr Unitary Movement lang el is a Greece Greek center left political party, established in November 2011 by MP of Aitoloakarnania Panagiotis Kouroumplis deleted from the Panhellenic Socialist Movement PASOK list , Professor of Political Theory Nick Kotzia, the lawyer and Regional Director of Attica region Attica Alexis Mitropoulos and more executives from the circles of PASOK and the Left. References reflist Greek political parties Category Political parties established in 2011 Category 2011 establishments in Greece Category Social democratic parties in Greece el ... more details
unreferenced date September 2010 Globalize article Anglosphere date February 2011 File Map of unitary states.svg 300px thumb A map showing the unitary states of the world in blue . A unitary state is a state polity state governed as one single unit in which the central government is supreme and any administrative division s subnational units exercise only powers that their central government chooses to delegate. Many states in the world have a unitary Form of government system of government . Unitary states are contrasted with Federation federal states federations In a unitary state, subnational units are created and abolished and their powers may be broadened and narrowed, by the central government. Although political power in unitary states may be delegated through devolution to local government by statute , the central government remains supreme it may abrogate the acts of devolved governments or curtail their powers. The United Kingdom is an example of a unitary state. Scotland , Wales , and Northern Ireland which, along with England are the four Constituent country constituent countries of the United Kingdom , have a degree of autonomous devolved power the Scottish Government and Scottish Parliament in Scotland, the Welsh Government and National Assembly for Wales in Wales ... . Ukraine is another example of a unitary state see Constitution of Ukraine . The Crimea Republic ... delegating power to the federal body. Many federal states also have unitary lower levels of government while the United States is federal, the states themselves are unitary under Dillon s Rule ..., with regions varying in their powers and status. Forms of government List of unitary states columns ... 177023 Open University UK & Unitary state dead link date December 2011 http openlearn.open.ac.uk ... DEFAULTSORT Unitary State Category Political geography Category Forms of government als Einheitsstaat ... si simple Unitary state sr sh Unitarna dr ava su Nagara kahijian fi ... more details
Multiple issues wikify February 2012 orphan February 2012 cleanup September 2008 The unitary method is a technique in elementary algebra for solving a class of problems in variation. It consists of altering one of the variables to a single unit, i.e. 1, and then performing the operation necessary to alter it to the desired value. For example, to solve the problem. A man walks seven miles in two hours. What is his average speed? , we aim to calculate how far the man walks in one hour. We can safely assume that he would walk half the distance in half the time. In one hour one half of two hours he walks three and a half miles one half of seven miles . His speed is therefore three and a half miles per hour. We can apply the same method to the problem A man walks at four miles per hour. How long would it take him to cover five miles? by asking first, how long does the man take to walk one mile. One is a quarter of four, so it takes him a quarter of an hour to walk one mile. To walk five miles it therefore takes him five quarter hours, or an hour and a quarter. References Unreferenced date September 2008 The unitary method is a technique in elementary algebra for solving a class of problems in variation. It consists of altering one of the variables to a single unit, i.e. 1, and then performing the operation necessary to alter it to the desired value. For example, to solve the problem. A man walks seven miles in two hours. What is his average speed? , we aim to calculate how far the man walks in one hour. We can safely assume that he would walk half the distance in half the time. In one hour one half of two hours he walks three and a half miles one half of seven miles . His speed is therefore three and a half miles per hour. We can apply the same method to the problem A man walks at four miles per hour. How long would it take him to cover five miles? by asking first, how long does the man take to walk one mile. One is a quarter of four, so it takes him a quarter of an hour ... more details
Unitary psychosis Einheitspsychose refers to the Timeline of psychiatry Psychiatry in the 19th Century 19th century belief prevalent in German psychiatry until the era of Emil Kraepelin that all forms of psychosis were surface variations of a single underlying disease process. sfn Noll 2007 p http books.google.com books?id jzoJxps189IC&pg PA145 145 According to this model, there were no distinct disease entities in psychiatry but only varieties of a single universal madness and the boundaries between these variants were fluid. sfn Jaspers 1997 p http books.google.ie books?id o YcTLX8m7MC&pg PA564 564 The prevalence of the concept in Germany during the mid 19th century can be understood in terms ... left Statue of Joseph Guislain 1797&ndash 1860 The concept of unitary psychosis is ultimately derived ...?id C1JYNnBLMqQC&pg PA58 58 He would become perhaps the figure most associated with the concept of unitary ... in harvnb Berrios Beer 1994 p 23 ref His adoption of the concept of unitary madness was predicated ... of a unitary psychosis. sfn Beer 1996 p 281 He did not, however, shares Zeller s conviction regarding ... in unitary psychosis until the 1860s. sfn Engstrom 2003 p http books.google.ie books?id C1JYNnBLMqQC&pg PA59 59 Heinrich Neumann The greatest defender and the most radical proponent of the concept of unitary ... thumb Karl Ludwig Kahlbaum 1828&ndash 1899 From the 1860s the concept of unitary psychosis and its ... in Dorpat University in 1887, Kraepelin contended that Zeller s notion of unitary psychosis had ... 1961 Variations of the unitary psychosis thesis have been revived occasionally during the 20th century ..., shares aspects of the more radical notion of unitary psychosis in regarding the individual psychoses ... expounded a view of psychosis that is commensurate with the mid 19th century psychiatric concept of unitary ... year 1994 last1 Berrios first1 German E. last2 Beer first2 M.D. title The notion of unitary psychosis ... Unitary psychosis concept clinical section last1 Berrios first1 German E. last2 Beer first2 M.D. pages ... more details
A unitary perfect number is an integer which is the sum of its positive proper unitary divisor s, not including the number itself. A divisor d of a number n is a unitary divisor if d and n d share no common factors. Some perfect number s are not unitary perfect numbers, and some unitary perfect numbers are not regular perfect numbers. Thus, 60 number 60 is a unitary perfect number, because its unitary divisors, 1, 3, 4, 5, 12, 15 and 20 are its proper unitary divisors, and 1 3 4 5 12 15 20 60. The first few unitary perfect numbers are 6 number 6 , 60, 90 number 90 , 87360, 146361946186458562560000 OEIS id A002827 There are no odd unitary perfect numbers. This follows since one has 2 sup d n sup dividing the sum of the unitary divisors of an odd number where d n is the number of distinct prime divisors of n . One gets this because the sum of all the unitary divisors is a multiplicative function and one has the sum of the unitary divisors of a power of a prime number prime p sup a sup is p sup a sup 1 which is even for all odd primes p . Therefore, an odd unitary perfect number must have only one distinct prime factor, and it is not hard to show that a power of prime cannot be a unitary perfect number, since there are not enough divisors. It s not known whether or not there are infinitely many unitary perfect numbers. References cite book author Richard K. Guy authorlink Richard K. Guy title Unsolved Problems in Number Theory publisher Springer Verlag year 2004 isbn 0 387 20860 7 pages 84 86 Section B3. cite book title My Numbers, My Friends Popular Lectures on Number Theory authorlink Paulo Ribenboim author Paulo Ribenboim publisher Springer Verlag year 2000 isbn 0 387 98911 0 page 352 Divisor classes navbox Category Integer sequences numtheory stub eo Unuargumenta perfekta nombro fr Nombre parfait unitaire ... more details
Unreferenced stub auto yes date December 2009 In Town and country planning in the United Kingdom United Kingdom planning law , a unitary development plan UDP is an old style development plan prepared by a metropolitan district and some Unitary authority unitary local authorities that contains policies equivalent to those in both a structure plan and a local plan . By virtue of specific transitional provisions, these plans will continue to operate for a time after the commencement of the new development plan system. The unitary development plan is used at all stages of production and is reliant on criteria based policies. Often contentious sites are proposed, which may generate significant opposition to the proposal. The existing system of UDPs makes it very difficult to provide a clearer framework. Category Housing in the United Kingdom Category United Kingdom planning policy UK law stub UK planning stub ... more details
Unitary Socialist Party may refer to a 1933 split of the Romanian Social Democratic Party defunct Romanian Social Democratic Party the United Socialist Party Italy, 1922 1930 Unitary Socialist Party 1922 1930 , a political party in Italy the United Socialist Party Italy, 1949 1951 Unitary Socialist Party 1949 1951 , a political party in Italy ref The party was integrated in the Italian Democratic Socialist Party in 1951. ref a denomination of the Italian Democratic Socialist Party 1969 1971 References Reflist disambig political it Partito Socialista Unitario ... more details
Infobox nrhp name Unitary Plan Wind Tunnel nrhp type nhl image Unitary Plan Wind Tunnel aerial.jpeg caption Aerial view of the Unitary Plan Wind Tunnel complex, 1974 location Mountain View, California lat degrees 37 lat minutes 25 lat seconds 0.9 lat direction N long degrees 122 long minutes 3 long seconds 37.71 long direction W locmapin California area built 1955 designated nrhp type October 3, 1985 ref name nhlsum cite web url http tps.cr.nps.gov nhl detail.cfm?ResourceId 1917&ResourceType Structure title Unitary Plan Wind Tunnel accessdate 2008 04 12 work National Historic Landmark summary listing publisher National Park Service ref added October 3, 1985 ref name nris NRISref 2006a ref governing body NASA refnum 85002799 The Unitary Plan Wind Tunnel , located at the NASA Ames Research Center in Moffett Federal Airfield , Mountain View, California , USA , is a research facility used extensively to design and test new generations of aircraft , both airliner commercial and military aircraft military , as well as National Aeronautics and Space Administration NASA space vehicles, including the Space Shuttle . The Unitary Plan Wind Tunnel was created by the National Advisory Committee for Aeronautics NACA , parent agency of NASA, which also created the Variable Density Tunnel at Langley, Virginia Langley in 1921. ref name unitary cite web url http www.cr.nps.gov nr travel santaclara uni.htm title Unitary Plan Wind Tunnel work California s Historic Silicon Valley publisher National Park Service accessdate 2007 03 12 ref The Unitary Plan Wind Tunnel was declared a National Historic Landmark in 1985. ref name nhlsum ref name nrhpinv2 Cite document title PDFlink http pdfhost.focus.nps.gov docs NHLS Text 85002799.pdf National Register of Historic Places Inventory Nomination Unitary Plan Wind Tunnel Unitary Plan Facility 32 KB date May 15, 1984 author Harry A. Butowsky publisher ... Unitary Plan Wind Tunnel Modification Project 1996.jpeg Crew working on the diffuser and contraction ... more details
Infobox subdivision type map File English unitary authorities 2009.svg 200px name Unitary authority England ... date1 population range area range type type1 type2 type3 status status1 status2 status3 Unitary ..., Kavanagh, Moran & Norton ref Unitary authorities typically allow large towns to have separate local ... counties where division into districts would be impractical. Unitary authorities do not cover all ... tranche were 2009 structural changes to local government in England created in 2009 . The unitary ... uk History Background The term unitary authority was first used in the Redcliffe Maud Report ... Online, draft addendum February 2003, s.v. unitary . An earlier citation, in 1936, uses the term ... the term was not applied to them, county borough s between 1889 and 1974 were effectively unitary ... were administered together. The concept of unitary units was abandoned with a two tier arrangement ... size and distance from the mainland made it impractical. In 1986 a broadly unitary system of local ... non metropolitan areas where new unitary authorities could be created. ref name politics uk The resulting ... of unitary authorities the counties of Avon, Humberside and Cleveland were broken up into unitary ... separately, as they had been before 1974. The review caused 46 unitary authorities to be created. ref ... as counties of a single district established unitary authorities in County Durham, Shropshire and Wiltshire ... the remainder of Bedfordshire and Cheshire into two unitary authorities. The review caused nine unitary authorities to be created. Functions Unitary authorities combine the powers and functions ... metropolitan local authority functions Current list Unitary authorities can additionally have the status ... Kingdom Unitary authorities Political make up of unitary authorities in England Footnotes note county county also a ceremonial county, in most cases covering other unitary authorities References reflist Unitary authorities of England Administrative geography of the United Kingdom Category Unitary ... more details
In mathematics , the projective unitary group PU n is the quotient group quotient of the unitary group ... , elements of U n are complex n n unitary matrices, and elements of the center are diagonal matrices ... to equivalence classes of unitary matrices under multiplication by a constant phase . Abstractly, given a Hermitian space V , the group PU V is the image of the unitary group U V in the automorphism group of the projective space P V . Projective special unitary group Image PSU PU.svg right The projective special unitary group PSU n is equal to the projective unitary group, in contrast to the orthogonal case. The connections between the U n , SU n , their centers, and the projective unitary groups is shown at right. The center of the special unitary group is the scalar matrices of the n th roots ... isomorphism theorem , thus PU n PSU n SU n Z n . and the special unitary group SU n is an n fold cover of the projective unitary group. Examples At n 1, U 1 is abelian and so is equal to its center. Therefore ... 2 mbox SU 2 mathbf Z 2 cong mbox Spin 3 mathbf Z 2 mbox SO 3 math Finite fields seealso Unitary group Finite fields One can also define unitary groups over finite fields given a field of order q, there is a non degenerate Hermitian structure on vector spaces over math mathbf F q 2 math , unique up to unitary ... math , and likewise special and projective unitary groups. For convenience, this article with use the math ... U n,q 2 math has order q 1 and consists of the scalar matrices which are unitary, that is those matrices math cI V math with math c q 1 1 math . The center of the special unitary group has order math gcd n,q 1 math and consists of those unitary scalars which also have order dividing n . The quotient of the unitary group by its center is the projective unitary group , math PU n,q 2 math , and the quotient of the special unitary group by its center is the projective special unitary group math PSU ... H math . Let U H denote the space of unitary operators on an infinite dimensional Hilbert space ... more details
orphan date March 2011 wikify date March 2011 Graphical Unitary Group Approach GUGA is a technique used to construct Configuration state function s CSFs in computational quantum chemistry . As reflected in its name, the method uses the mathematical properties of the unitary group . The foundation of the unitary group approach UGA can be traced to the work of Moshinsky. ref Cite book author M. Moshinsky title Group Theory and the Many Body Problem publisher Gordon and Breach location New York year 1968 isbn 0677017405 ref Later, Shavitt ref cite journal doi 10.1002 qua.560120819 title Graph theoretical concepts for the unitary group approach to the many electron correlation problem year 1977 last1 Shavitt first1 Isaiah journal International Journal of Quantum Chemistry volume 12 pages 131 148 ref ref cite journal doi 10.1002 qua.560140803 title Matrix element evaluation in the unitary group approach to the electron correlation problem year 1978 last1 Shavitt first1 Isaiah journal International Journal of Quantum Chemistry volume 14 pages 5 32 ref introduced the graphical aspect GUGA drawing on the earlier work of Paldus. ref cite journal doi 10.1103 PhysRevA.14.1620 title Unitary group approach to the many electron correlation problem Relation of Gelfand and Weyl tableau formulations year 1976 last1 Paldus first1 Josef journal Physical Review A volume 14 issue 5 pages 1620 1625 ref Computer programs based on the GUGA method have been shown to be highly efficient. ref Cite journal doi 10.1088 0031 8949 21 3 4 013 title The Loop Driven Graphical Unitary Group Approach A Powerful Method for the Variational Description of Electron Correlation year 1980 last1 Brooks first1 Bernard R last2 Laidig first2 William D last3 Saxe first3 Paul last4 Handy first4 Nicholas C last5 Schaefer first5 Henry F journal Physica Scripta volume 21 issue 3 4 pages 312 322 ref ref cite book author C.D. Sherrill and H.F.Schaeffer III title The Configuration Interaction Method Advances in Highly Correlated ... more details
The unitary executive theory is a theory of United States Constitution American constitutional law holding ... favor a strongly unitary executive, while others favor a weakly unitary executive. ref name Lessig ... by Congress. Still others agree that the Constitution requires a unitary executive, but believe this is a bad ... of the unitary executive theory argue that this language, along with the Article Two of the United ..., Steven and Rhodes, Kevin title The Structural Constitution Unitary Executive, Plural Judiciary ... developed. ref name Dean John Dean explains In its most extreme form, unitary executive theory can ... , No one denies that in some sense the framers created a unitary executive the question is in what ... branch. The strongly unitary theory posits stricter limits on Congress than the weakly unitary theory. ref name Lessig Some scholars oppose even the weakly unitary theory and favor creating a plural executive ... amendment would be required to eliminate the federal unitary executive. Proponents of a strongly unitary theory argue that the president possesses all of the executive power and can therefore control ... unitary executive theory, independent agencies and counsels are unconstitutional to the extent ... The phrase unitary executive was discussed as early as the Philadelphia Convention in 1787, referring ... Farmer defended the proposed unitary executive, arguing that a single man seems to be peculiarly well ... Madison were emphasizing an additional advantage of a unitary executive. In Federalist No. 51 , he ... Forces. The theory of the unitary executive can only be legitimate insofar as it allows Congress ... of the unitary executive, first proposed under President Reagan, has been expanded since then by every ... 2008oct11,0,224216.story The unitary executive question What do McCain and Obama think of the concept? Los Angeles Times 2008 10 11 . ref In fact, the unitary executive was a matter of controversy ... in order to secure that unitary and uniform execution of the laws which article 2 of the Constitution ... more details
The science of unitary human beings is a nursing theory grand nursing theory developed by Martha E. Rogers . The details of the theory are included in her book, An Introduction to the Theoretical Basis of Nursing . Overview According to Rogers, Nursing is both a science and an art. The uniqueness of nursing, like that of any other science, lies in the phenomenon central to its focus. Rogers theorized that nurse s long established concern with the people and the world they live is in a natural forerunner of an organized abstract system encompassing people and their environments. She described the wiktionary irreducible irreducible nature of individuals as being different from the sum of their parts. She theorized that the identity of nursing as a science arises from the wiktionary integrality integrality of people and the environment that coordinates with a multidimensional universe of open systems. The purpose of nurses, then, is to promote health and wellbeing for all persons. Rogers model provides the way of viewing the unitary human being. Humans are viewed as integral with the universe the unitary human being and the environment are one, not dichotomous. Nursing, therefore, focuses .... The basic concepts of the theory include unitary human being, environment, and homeodynamic ... events are arbitrary. The present is relative there is no temporal ordering of lives. Unitary Human Being person A unitary human being is an irreducible, indivisible, pan dimensional four dimensional ... nursing. Homeodynamic principles The principles of homeodynamic postulates the way unitary ... theories from the Science of Unitary Human Beings Theory of paranormal phenomena This theory focus ... rhythm . This theory deals with the manifestations of the whole unitary human as changes in human ... development. Other nursing theories derived from the Science of Unitary Human Beings The perspective ... Of Unitary Human Beings Category Nursing theory ... more details
Unreferenced date August 2010 The Unitary National Liberation Front lang sh Jedinstveni narodnooslobodila ki front , JNOF or simply the National Liberation Front sometimes referred to as the People s Liberation Front , was a World War II political organization and movement headed by the Communist Party of Yugoslavia KPJ that united all political parties and individuals of the republican, federalist, and left wing political spectrum in occupied Kingdom of Yugoslavia Yugoslavia . The Front served as political backing to the Yugoslav resistance movement, the Yugoslav Partisans Partisans . In 1945 with Partisans winning the war, the Unitary People s Liberation Front was reorganized and renamed the People s Front Yugoslavia People s Front Narodni Front , NOF . Under this name the Front won the post war Yugoslav elections, after which it was soon renamed into Socialist Alliance of Working People of Yugoslavia Socijalisti ki savez radnog naroda Jugoslavije , SSRNJ . See also Yugoslav Partisans Yugoslavia stub Category Eastern European World War II resistance movements Category Yugoslavia in World War II Category Second Yugoslavia Category 1945 disestablishments Category Popular fronts ... more details
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