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 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 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 form of a business 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. An example of such an enterprise is Mashpriborintorg . See also Civil Code of Russia Russia stub Category Types of companies Category Economy of Russia Category Companies of Russia nl Gecentraliseerd bedrijf ru fi Unitary enterprise ... more details
In mathematics , a natural number a is a unitary divisor of a number b 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. If the proper unitary divisors of a given number add up to that number, then that number is a unitary perfect number . The sum of unitary divisors function is denoted by the lowercase Greek letter sigma thus n . OEIS id A034448 gives the value of this function for the first few positive integers, while OEIS2C id A034444 gives the count of unitary divisors. 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. References cite book author Richard K. Guy authorlink Richard K. Guy title Unsolved Problems in Number Theory publisher Springer Verlag date 2004 isbn 0 387 20860 7 page 84 Section B3. cite book title My Numbers, My Friends Popular Lectures on Number Theory author Paulo Ribenboim authorlink Paulo Ribenboim publisher Springer Verlag year 2000 isbn 0 387 98911 0 page 352 External links MathWorld urlname UnitaryDivisor title Unitary Divisor Divisor classes navbox Category Number theory numtheory stub ko ... more details
In mathematics , a unitary matrix is an 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 called the Hermitian adjoint of math U math . Note this condition implies that a matrix math U math is unitary ... U dagger , math math U 1 U dagger , math A unitary matrix in which all entries are real is an orthogonal ... of two real Euclidean vector vector s, math langle Gx, Gy rangle langle x, y rangle math so also a unitary ... on math mathbb C n math . If math U , math is an math n times n math unitary matrix then the following 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 math U , math is invertible, with math U 1 U dagger math . math U dagger math is also unitary. math ... corresponding to different eigenvalues are orthogonal. For any n , the set 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 math M math is a linear combination of two unitary matrices. ref cite book first1 Chi Kwong ... also Orthogonal matrix Hermitian matrix Symplectic matrix Unitary group Special unitary group Unitary ... 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 operators ... 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 pl Transformacja unitarna 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 id ISBN 0387054685 See also Unitary representation of a star ... Category Harmonic analysis Category Unitary representation theory pt Representa o unit ria ... more details
, a unitary operator is a bounded linear operator U H H on a Hilbert space ... 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 ... 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 be dropped ... , 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 references ... 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 ... of the identity 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 ... . , math The kernel group theory kernel of this homomorphism is the set of unitary matrices with unit determinant. This subgroup is called the special unitary group , denoted SU n . We then have a short ... 1, 1, ..., 1 . The unitary group U n is nonabelian group nonabelian for n > ... n is a 1 dimensional abelian normal subgroup of U n , the unitary group is not semisimple . Topology The unitary group U n is endowed with the relative topology as a subset of M sub n sub C , the set ... 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 numbers ... t mapsto S , mbox diag e it theta 1 , dots,e it theta n ,S 1 . math The unitary group is not simply ... . math The first unitary group U 1 is topologically a circle , which is well known to have a fundamental ... U n math inducing the inverse. Related groups 2 out of 3 property The unitary group is the 3 fold ... math U n O 2n cap GL n, mathbf C cap Sp 2n, mathbf R . math Thus a unitary structure can be seen as an orthogonal ... more details
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 , stands .... Unitary Urbanists Lettrist International Guy Debord Constant Nieuwenhuys Piero Simondo Providence ... of entire atmospheres and styles of life. . . . A unitary urbanism the synthesis we call ... 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 Urbanism Category ... more details
unreferenced date September 2010 Globalize article the Anglosphere date February 2011 File Map of unitary states.svg 300px thumb A map showing the unitary states of the world in blue . File Palace of Westminster, London Feb 2007.jpg 300px thumb The United Kingdom is a unitary state... File Capitol Building Full View.jpg 300px thumb ...while the United States is a Federation federal state. A unitary state is a sovereign state governed as one single unit in which the central government is supreme and any administrative division s subnational units exercise only powers that the 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 Constituent country constituent countries of the United Kingdom , have a degree of autonomous devolved power the Scottish Government ... and the U.S. state s. 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 Counties in the United .... Forms of government List of unitary states columns list 3 Afghanistan Albania Algeria Angola ... mod resource view.php?id 177023 Open University UK & Unitary state http openlearn.open.ac.uk ... Unitary State Category Political geography Category Forms of government als Einheitsstaat ast ... si simple Unitary state sr sh Unitarna dr ava fi Yhten isvaltio sv Enhetsstat ... more details
Cleanup 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 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 to walk one mile. To walk five miles it therefore takes ... 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 , which contains policies equivalent to those in both a Structure Plans structure plan and Local Plans local plan . These plans will continue to operate for a time after the commencement of the new development plan system, by virtue of specific transitional provisions. The Unitary Development Plan is used at all stages of production and is reliant on criteria based policies. Often sites are proposed for development, which are contentious, this may generate a significant opposition for the proposal. The existing system of UDP s 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
Infobox subdivision type map File Unitary Map EnglandSubdivisions2009.png 200px br Unitary authorities shown in yellow name Unitary authority England alt name category Districts of England Districts territory ... status status1 status2 status3 Unitary authorities of England are areas where a single local authority ... publisher Pearson edition 5th author Jones, Kavanagh, Moran & Norton ref Unitary authorities typically .... Unitary authorities do not cover all of England. Most were Local Government Commission for England ... government in England created in 2009 . The unitary authorities combine the powers and functions that are normally ... metropolitan district s. ref name politics uk History Background The term unitary authority was first ... I. vi 73, cited in Oxford English Dictionary Online, draft addendum February 2003, s.v. unitary . An earlier ... 1889 and 1974 were effectively unitary authorities, that is, single tier administrative units ... large towns and their rural hinterlands were administered together. The concept of unitary units .... In 1986 a broadly unitary system of local government was introduced in the six metropolitan county ... in the 1990s was initiated in order to select non metropolitan areas where new unitary authorities ... district Berkshire was divided into a number of unitary authorities the counties of Avon, Humberside and Cleveland were broken up into unitary authorities and a number of districts were split ... 46 unitary authorities to be created. ref name atkinson 2009 changes main 2009 structural changes ... established Cornwall and Northumberland as counties of a single district established unitary ... unitary authorities. The review caused nine unitary authorities to be created. Functions Unitary authorities ..., Boundary Commission for England ref Non metropolitan local authority functions Current list Unitary ... up of local councils in the United Kingdom Unitary authorities Political make up of Unitary authorities ... unitary authorities References reflist Unitary authorities of England Administrative geography of the United ... 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 , was 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 It 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 National Park Service ... view of the Wind Tunnel with construction going on in the mid 1950s. Image Unitary Plan Wind Tunnel ... 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 math times math n unitary matrices, and elements of the center are diagonal ... n correspond to equivalence classes of unitary matrices under multiplication by a constant phase math theta math . Abstractly, given a Hermitian space V , the group PU V is the image of the unitary ... 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 ... unitary group SU n is an n fold cover of the projective unitary group. Examples At n 1 ... 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 congruence, and correspondingly ... special and projective unitary groups. For convenience, this article with use the math U n,q 2 math ... order math q 1 math 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 math n math . 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 ... mathcal H math . Let U H denote the space of unitary operators on an infinite dimensional Hilbert space. When f X &rarr U H is a continuous mapping of a compact space X into the unitary group, one can ... given by the determinant of matrices. The center of the infinite dimensional unitary group U math mathcal ... 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 .... Proponents of the unitary executive theory argue that this language, along with the Article ... journal author Calabresi, Steven and Rhodes, Kevin title The Structural Constitution Unitary Executive ... form, unitary executive theory can mean that neither Congress nor the federal courts can tell the President ... Lawrence Lessig and Cass Sunstein , No one denies that in some sense the framers created a unitary ... of control of the executive 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 ... unitary executive. Proponents of a strongly unitary theory argue that the President possesses all of the executive ... control is limited. Thus, under the strongly unitary executive theory, independent agencies and counsels ... Adoption of constitutional provisions The phrase unitary executive was discussed as early as the Philadelphia ... writings. The pseudonym ous Federal Farmer defended the proposed unitary executive, arguing that a single ... Meanwhile, Federalists such as James Madison were emphasizing an additional advantage of a unitary ... and Regulation of the land and naval Forces. The theory of the unitary executive can only be legitimate ... at Vanderbilt University , the theory of the unitary executive, first proposed under President Reagan ... www.latimes.com news opinion la oe nelson11 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 ... of the statutes under which they act in order to secure that unitary and uniform execution of the laws ... assets pdfs 107 4 Calabresi Lawson.pdf The Unitary Executive, Jurisdiction ... more details
The Gaussian unitary ensemble is the most studied and basic Gaussian matrix ensemble ensemble in random matrix theory. It is a Gaussian measure on the set of Hermitian matrix hermitian matrices . The joint probability density for the Eigenvalue, eigenvector and eigenspace eigenvalues of math n times n math Hermitian matrices is given by math frac 1 Z n prod k 1 n e frac n 2 x k 2 prod i j x j x i 2 math where math Z N math is a normalization constant . Category Random matrices mathapplied stub ... 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
Groups Lie groups The special unitary group of degree n , denoted SU n , is the group mathematics group of n × n unitary matrix unitary Matrix mathematics matrices with determinant 1. The group operation is that of matrix multiplication . The special unitary group is a subgroup of the unitary group U n , consisting of all n × n unitary matrices, which is itself a subgroup of the general linear group GL n , C . The SU n groups find wide application in the Standard Model of particle physics , especially SU 2 in the electroweak interaction and SU 3 in Quantum chromodynamics QCD . The simplest case, SU 1 , is the trivial group , having only a single element. The group SU 2 is isomorphic to the group of quaternion s of Quaternion Conjugation, the norm, and division absolute value 1, and is thus diffeomorphic to the 3 sphere . Since unit quaternion s can be used to represent rotations in 3 dimensional space up to sign , we have a surjective homomorphism from SU 2 to the rotation group SO 3 whose Kernel mathematics kernel is math I, I math . Properties The special unitary group SU n is a real matrix Lie group of dimension n sup 2 sup &minus 1. Topologically, it is Compact space compact and simply connected . Algebraically, it is a simple Lie group meaning its Lie algebra is simple ... group math S n math , the symmetry group of the math n 1 math simplex . Generalized special unitary group For a field mathematics field F , the generalized special unitary group over F , SU p , q F , is the Group ... of a quadratic form signature p , q . This group is often referred to as the special unitary group ... to SL 2, R . Important subgroups In physics the special unitary group is used to represent bosonic ... of the special unitary group. Subgroups of SU n that are important in Grand unification theory GUT physics ... Portal Mathematics Representation theory of SU 2 Projective special unitary group , PSU n Notes More ..., Winter 2003 DEFAULTSORT Special Unitary Group Category Lie groups de Spezielle unit re Gruppe es Grupo ... more details
Refimprove date July 2010 Infobox Political party party name Movimiento de Acci n Popular Unitaria br Popular Unitary Action Movement party logo Image Bandera del MAPU, partit xil .svg thumb 200px centre colorcode FFFFFF leader Historical Leaders br Rodrigo Ambrosio br Eduardo Aquevedo br Kalki Glauser br scar Guillermo Garret n chairman spokesperson foundation Santiago de Chile br May 19, 1969 ideology Liberation theology br Socialism br Marxism headquarters international Popular Unity Government Coalition br 1970 1973 website http www.memorialmapu.cl mapu 21 portada.php MAPU Memorial Website The Popular Unitary Action Movement or MAPU lang es Movimiento de Acci n Popular Unitario was a small Left wing politics leftist political party in Chile . It was part of the Popular Unity coalition during the government of Salvador Allende . MAPU was political repression repressed during the dictatorship of Augusto Pinochet . In this period, some of its most radical members formed the Movimiento Juvenil Lautaro , whose leaders where political prisoner s during the dictatorship and with the return to democracy. Another faction of the former members of the party joined the social democratic Party for Democracy in 1987. MAPU was first formed as a splinter group of the Christian Democrat Party of Chile on May 19, 1969. At the time, Christian Democrats were in the government and many party members, especially among the youth, became critical of the party s policies that they regarded as pro American and pro imperialist. It joined the Unidad Popular cartel of Salvador Allende and participated in his government. The party s ideological line was not clearly defined at first. In fact, the party leaders were encouraged by Allende and Fidel Castro whom the MAPU delegation met in 1972 when visiting Cuba not to embrace Marxism officially, since there were such parties in Chile, already, and the Unidad Popular coalition wished to claim a Christian Left niche, too the newly founded Christi ... more details
Unitary Federation of Petroleum and Gas Workers lang es Federaci n Unitaria de Trabajadores de Petroleo y Gas , FUTPV is the main national labor union of workers in the petroleum and gas industries in Venezuela . It represents over 67,000 workers, including most workers of Petr leos de Venezuela S.A. PDVSA . External links http futpv.org Category Trade unions in Venezuela ... 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 M. Moshinsky, Group Theory and the Many Body Problem, Gordon and Breach, New York 1968 ref . Later, Shavitt ref I. Shavitt, Int J. Quantum Chem. Symp. 11. 131 1977 12. 5 1978 ref introduced the graphical aspect GUGA drawing on the earlier work of Paldus ref J. Paldus, Phys. Rev. A14, 1620 1976 ref . Computer programs based on the GUGA method have been shown to be highly efficient. ref B.R. Brooks, W.D. Laidig, P. Saxe, N.C. Handy and H.F. Schaefer III, The Loop Driven Graphical Unitary Group Approach A Powerful Method for the Variational Description of Electron Correlation, 1980 Phys. Scr. 21 p.312 ref offering certain performance advantages over the older, sometimes called traditional, techniques for CSF construction. However traditional methods can offer other advantages ref A.D. McLean, M. Yoshimine, B.H. Lengsfield, P.S. Bagus, B. Liu ALCHEMY II, A Research Tool for Molecular Electronic Structure and Interactions, in Modern Techniques in Computational Chemistry MOTECC 91 , E. Clementi, ed. ESCOM Science Publishers Leiden, 1991, ISBN 90 72199 10 3 ref such as the ability to handle degenerate symmetry point groups, such as math C infty v math . References Reflist External links Documentation for GUGA input to the MOLCAS program http www.teokem.lu.se molcas tutor node31.html Documentation for GUGA input to the GAMESS program http phoenix.liu.edu nmatsuna gamess input DRT.html Categories Category Articles created via the Article Wizard Category Quantum chemistry Category Theoretical chemistry catimprove date March 2011 ... more details
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