wiktionary Operatoroperator operators Operator may refer to tocright Music Operator band , an American hard rock band Operator Motown song Operator Motown song , a 1965 work recorded by Mary Wells and Brenda Holloway Operator That s Not the Way It Feels Operator That s Not the Way It Feels , a song on Jim Croce s 1972 album You Don t Mess Around with Jim Operator Midnight Star song Operator Midnight Star song , a 1984 song by Midnight Star Operator A Girl Like Me Operator A Girl Like Me , a 2008 song by Canadian pop rock singer Shiloh Operator , a song on The Grateful Dead s 1970 album American Beauty album American Beauty Operator , a song on The Manhattan Transfer s 1975 album The Manhattan Transfer album The Manhattan Transfer Operator , a song on Blue System s 1993 album Backstreet Dreams Operator , a song on Real McCoy s 1995 album Another Night Real McCoy album Another Night Computers Operator extension , an extension for the Firefox web browser, for reading microformats Operator programming , a type of computer program function Operator YAPO , a portable implementation of the Opera web browser formerly known as OperaTor Science and mathematics Operator mathematics , a function ... Arithmetic operation , symbols used in basic arithmetic operations Operator biology , a segment of DNA regulating the activity of genes Operator linguistics , a special category including wh interrogatives Operator physics , mathematical operators in quantum physics Fiction Operator Ghost in the Shell a group of gynoids in the Ghost in the Shell series Operator No. 5 , a pulp fiction hero from the 1930s. Operator The Matrix , a crew position in The Matrix franchise Other Telephone operator , person or company offering telephone services Operator profession , a description of profession, as in telephone operator, computer operator, etc Operator military , a soldier in a special operations force Network operator , a phone carrier Operator sternwheeler Operator sternwheeler , an early 20th ... more details
Infobox Single See Wikipedia WikiProject Songs Name Operator, Operator Cover Artist Eddy Raven Album Love and Other Hard Times B side Just for the Sake of the Thrill ref name raven Released 1985 Format 7 single Recorded Genre Country music Country Length 3 04 Label RCA Records RCA Writer Larry Willoughby , Janet Willoughby Producer Paul Worley , Eddy Raven Last single She s Gonna Win Your Heart br 1984 This single Operator, Operator br 1985 Next single I Wanna Hear It from You br 1985 Misc Operator, Operator originally titled Heart on the Line Operator, Operator is a country music song co written and recorded by Larry Willoughby , a cousin of country music singer Rodney Crowell , and Janet Willoughby. He released the song in 1983 from the album Building Bridges , and took it to number 65 on the Hot Country Songs charts. ref name whitburn cite book last Whitburn first Joel title Hot Country Songs 1944 to 2008 publisher Record Research, Inc date 2008 page 469 isbn 0 89820 177 2 ref The Oak Ridge Boys also recorded it under the original title, as the b side to their 1983 single Love Song The Oak Ridge Boys song Love Song . ref Whitburn, p. 303 ref A 1985 recording by Eddy Raven , under the title Operator, Operator , appeared on his album Love and Other Hard Times . This version went to number 9 on the same chart. ref name raven Whitburn, p. 340 ref Chart performance Larry Willoughby class wikitable sortable align left Chart 1983 align center Peak br position align left U.S. Billboard Hot Country Singles align center 65 Eddy Raven class wikitable sortable align left Chart 1985 align center Peak br position align left U.S. Billboard Hot Country Singles align center 9 align left Canadian RPM Country Tracks align center 8 References reflist Category 1983 singles Category 1985 singles Category Eddy Raven songs Category Larry Willoughby songs Category Songs produced by Paul Worley 1980s country song stub ... more details
Hilbert operator may refer to The epsilon operator in David Hilbert Hilbert s epsilon calculus . The Hilbert Schmidt operator s on a Hilbert space . The Hilbert Schmidt integral operator s. Generally, any operator on a Hilbert space . disambig ... more details
Image Avenue of Stars boom operator.JPG thumb 200px Statue of a Boom operator media boom operator on the Avenue of Stars, Hong Kong Avenue of Stars in Hong Kong . other uses operator disambiguation An operator is a professional designation used in various industries, including broadcast ing television radio , computer , customer service , physics , and construction . Operators are day to day end user s of systems, that may or may not be mission critical , but are typically managed and maintained by technician s or engineer s. They might also work on a 24 hour rotating shift work shift schedule. Types of operators Broadcasting Technical operator, transmission controller or broadcast operator Network operations center NOC operator Master control MCR operator Production control room PCR operator Transmission control room TCR operator Video control operator VCO Videotape operator VTO Certified Television Operator CTO by Society of Broadcast Engineers SBE ref http www.sbe.org Society of Broadcast Engineers ref Certified Radio Operator CRO operator by SBE Television studio Studio technical operator gallery operator Vision mixer operator Sound and communications comms talkback recording talkback studio operator Image KC 135Boom operator 521.jpg thumb 210px KC 135 Stratotanker KC 135 Boom operator military Boom operator Jib camera operator Boom operator media Boom operator Dolly grip operator Others Computer operator Crane machine Crane operator Radio operator Satellite controller Telephone operator Winch operator Nuclear power plant operator Gallery gallery Image Hg winch operator.jpg Operator of a stationary winch, launching a hang glider . Image Telegraphone with operator.png Valdemar Poulsen Telegraphone with operator gallery See also List of occupations References reflist Job stub Category Occupations included for non broadcast occupations category broadcasting occupations cs Oper tor profese ru ... more details
In mathematics , operator theory is the branch of functional analysis that focuses on bounded linear operator s, but which includes closed operator s and nonlinear operator s. Operator theory also includes the study of linear algebra algebra s of operators. Single operator theory Single operator theory deals with the properties and classification of single operators. For example, the classification of normal operator s in terms of their spectrum of an operator spectra falls into this category. Operator algebras The theory of operator algebra s brings algebra over a field algebra s of operators such as C algebra s to the fore. See also Invariant subspace Functional calculus Spectral theory Resolvent formalism Compact operator Fredholm theory of integral equation s Integral operator Fredholm operator Self adjoint operator Unbounded operator Differential operator Umbral calculus Contraction mapping Positive operator on a Hilbert space Perron Frobenius theorem Generalizations Nonnegative operator on a ordered vector space partially ordered vector space External links http www.mathphysics.com opthy OpHistory.html History of Operator Theory Mathanalysis stub Category Operator theory de Operatorenrechnung fa ko nl Operatorentheorie pt Teoria dos operadores ru tt uk vi L thuy t to n t ... more details
Hello Operator may refer to Hello Operator band , a Canadian band Hello Operator single , by White Stripes Miss Susie , a children s song sometimes referred to as hello operator. disambig Long comment to avoid being listed on short pages sh Hello Operator ... more details
Unreferenced stub auto yes date December 2009 Disputed date March 2008 In theoretical physics , a disorder operator is an Operator mathematics operator that creates a discontinuity of the ordinary order operator s or a monodromy for their values. For example, a t Hooft operator is a disorder operator. So is the Jordan Wigner transformation . DEFAULTSORT Disorder Operator Category Quantum field theory Category Statistical mechanics Phys stub ... more details
The translation operator can refer to these things A shift operator , which effects a geometric translation. See also Translation geometry . An alternative name for the displacement operator in quantum optics. Disambig ... more details
see also inversion In the mathematics , inversion operator can refer to the Operator mathematics operator which assigns the inverse element to an element of a group mathematics group Inversion in a point Chromosomal inversion , reordering of genes in a DNA sequence. mathdab ... more details
In mathematics , especially operator theory , a convexoid operator is a bounded operator bounded linear operator T on a complex Hilbert space H such that the closure of the numerical range coincides with the convex hull of its spectrum. An example of such an operator is a normal operator or some of its generalization . It is not known whether a paranormal operator is a convexoid or not, I think. Taku. A closely related operator is a spectraloid operator an operator whose spectral radius coincides with its numerical radius . In fact, an operator T is convexoid if and only if math T lambda math is spectraloid for every complex number math lambda math . This result is due to Furuta, I believe Taku See also Aluthge transform References T. Furuta. http www.projecteuclid.org DPubS?service UI&version 1.0&verb Display&handle euclid.pja 1195526397 Certain convexoid operators Category Operator theory math stub ... more details
In mathematics , especially operator theory , a hyponormal operator is a generalization of a normal operator . In general, a bounded linear operator T on a complex Hilbert space H is said to be p hyponormal math 0 p le 1 math if math T T p ge TT p math That is to say, math T T p TT p math is a positive operator. If math p 1 math , then T is called a hyponormal operator. If math p 1 2 math , then T is called a semi hyponormal operator. Moreoever, T is said to be log hyponormal if it is invertible and math log T T ge log TT . math An invertible p hyponormal operator is log hyponormal. On the other hand, not every log hyponormal is p hyponormal. The class of semi hyponormal operators was introduced by Xia, and the class of p hyponormal operators was studied by Aluthge, who used what is today called the Aluthge transformation . Every subnormal operator in particular, a normal operator is hyponormal, and every hyponormal operator is a paranormal operator paranormal convexoid operator . Not every paranormal operator is, however, hyponormal. Let T be a hyponormal operator. If math T T TT math is compact, then T is normal. Maybe the statement isn t quite accurately stated. See also Putnam s inequality References http www.jstor.org pss 2162263 Category Operator theory math stub ... more details
Unreferenced date December 2009 In operator theory , a multiplication operator is a linear operator T defined on some function space vector space of functions and whose value at a function is given by multiplication by a fixed function f . That is, math T varphi x f x varphi x quad math for all in the function space and all x in the domain mathematics domain of which is the same as the domain of f . This type of operators is often contrasted with composition operator s. Multiplication operators generalize the notion of operator given by a diagonal matrix . More precisely, one of the results of operator theory is a spectral theorem , which states that every self adjoint operator on a Hilbert space is unitarily equivalent to a multiplication operator on an Lp space L sup 2 sup space . Example Consider the Hilbert space X L sup 2 sup &minus 1, 3 of complex number complex valued square integrable functions on the interval mathematics interval &minus 1, 3 . Define the operator math T varphi x x 2 varphi x quad math for any function in X . This will be a self adjoint operator self adjoint bounded linear operator with operator norm norm 9. Its spectrum of an operator spectrum will be the interval 0, 9 the range mathematics range of the function x x sup 2 sup defined on &minus 1, 3 . Indeed, for any complex number , the operator T is given by math T lambda varphi x x 2 lambda varphi x . quad math It is invertible function invertible if and only if is not in 0, 9 , and then its inverse is math T lambda 1 varphi x frac 1 x 2 lambda varphi x quad math which is another multiplication operator. This can be easily generalized to characterizing the norm and spectrum of a multiplication operator on any Lp space . See also translation operator shift operator Decomposition of spectrum functional analysis DEFAULTSORT Multiplication Operator Category Functional analysis ... more details
The term boom operator may refer to Boom operator military , a member of the crew aboard an aerial refueling tanker, responsible for flying the boom Boom operator media , a member of the crew of a film or radio project, responsible for operating a microphone and sound boom disambig ... more details
Unreferenced date December 2009 In mathematics , in the area of functional analysis and operator theory , the Volterra operator , named after Vito Volterra , represents the operation of indefinite integration , viewed as a bounded linear operator on the space L sup 2 sup 0,1 of complex valued square integrable function s on the interval 0,1 . It is the operator corresponding to the Volterra integral equation s. Definition The Volterra operator, V , may be defined for a function f s L sup 2 sup 0,1 and a value t 0,1 , as math V f t int 0 t f s , ds . math Properties V is a bounded linear operator between Hilbert spaces, with Hermitian adjoint math V f t int t 1 f s , ds . math V is a Hilbert Schmidt operator , hence in particular is compact operator compact . V has no eigenvalue s and therefore, by the spectral theory of compact operators , its spectrum functional analysis spectrum V 0 . V is a quasinilpotent operator that is, the spectral radius , V , is zero , but it is not nilpotent . The operator norm of V is exactly V sup 2 sup sub sub . DEFAULTSORT Volterra Operator Category Operator theory ... more details
In mathematics , especially operator theory , a paranormal operator is a generalization of a normal operator . More precisely, a bounded linear operator T on a complex Hilbert space H is said to be paranormal if math T 2x ge Tx 2 , math for every unit vector x in H . The class of paranormal operators was introduced by V. Istratescu in 1960s, though the term paranormal is probably due to Furuta. ref V. Istratescu. http projecteuclid.org DPubS Repository 1.0 Disseminate?view body&id pdf 1&handle euclid.pjm 1102992095 On some hyponormal operators ref ref name Furuta Every hyponormal operator in particular, a subnormal operator , a quasinormal operator and a normal operator is paranormal. If T is a paranormal, then T sup n sup is paranormal. ref name Furuta Furuta, Takayuki. http projecteuclid.org DPubS Repository 1.0 Disseminate?view body&id pdf 1&handle euclid.pja 1195521514 On the Class of Paranormal Operators ref On the other hand, Halmos gave an example of a hyponormal operator T such that T sup 2 sup isn t hyponormal. Consequently, not every paranormal operator is hyponormal. ref P.R.Halmos, A Hilbert Space Problem Book 2nd edition, Springer Verlag, New York, 1982. ref A compact paranormal operator is normal. ref Furuta, Takayuki. http www.journalarchive.jst.go.jp jnlpdf.php?cdjournal pjab1945&cdvol 47&noissue SupplementI&startpage 888&lang en&from jnlabstract Certain Convexoid Operators ref References reflist Category Operator theory math stub ... more details
Cleanup format date August 2008 For the term as used in 3 dimensional space, see Rotation operator vector space For the term as used in quantum mechanics, see Rotation operator quantum mechanics disambig ... more details
Infobox Software name Operator YAPO screenshot Image Operator scr.png 250px caption OperaTor 2.2 showing the start page. developer http archetwist.com Arche Twist latest release version 1.0 latest release date release date and age 2010 01 06 operating system Microsoft Windows Windows genre Internet suite website http archetwist.com en opera operatorOperator YAPO homepage Operator YAPO Yet Another Portable Opera is a portable version of the Opera web browser Opera web browser. It can be installed on portable data storage devices like pendrives, USB sticks and hard drives. ref http www.ghacks.net 2007 05 07 opera tor and privoxy combined gHacks Opera, Tor and Privoxy combined ref History Operator YAPO used to be known as OperaTor, a software bundle that consisted of Opera web browser Opera , Tor anonymity network Tor and Polipo . ref http sourceforge.net projects polipo SourceForge Polipo A caching HTTP proxy web cache ref ref Softpedia http www.softpedia.com get Internet Other Internet Related Polipo.shtml Polipo ref Its aim was to provide a way to surf the web Anonymity anonymously . OperaTor only anonymized the following two Protocol computing protocols Hypertext Transfer Protocol HTTP and Hypertext Transfer Protocol over Secure Socket Layer HTTPS . Other protocols like BitTorrent protocol BitTorrent or the complete part of Opera Mail would not be anonymized. Following the projects new name change, OperaTor no longer ships with Tor. Older versions of OperaTor are still available however, but are no longer supported. See also List of web browsers External links http archetwist.com opera operatorOperator YAPO homepage References reflist OperaBrowser DEFAULTSORT Operator Yapo Category Opera Software ru OperaTor vi OperaTor zh Operator YAPO ... more details
The spaceship operator , written code code , is a binary relational operator that originated in the Perl programming language . Other languages, such as Ruby programming language Ruby and Groovy programming language Groovy also support the spaceship operator. Unlike traditional equality operators, which will return 1 true or 0 false depending on whether the arguments are equal or unequal, the spaceship operator will return 1, 0, or &minus 1 depending on the value of the left argument relative to the right argument. If the left argument is greater than the right argument, the operator returns 1. If the left argument is less than the right argument, the operator returns &minus 1. If the two arguments are equal, the operator returns 0. If the two arguments cannot be compared e.g. one of them is NaN , the operator returns code undef code . In Perl, the code < > code operator only performs numeric comparisons. For string based comparison, the analogous code cmp code operator is used instead. As a formula math a texttt b begin cases 1 & mbox if a b, 0 & mbox if a b, 1 & mbox if a b, texttt undef & mbox otherwise. end cases math The spaceship operator is primarily used for comparisons in sorting . The spaceship operator takes its name because it looks like a small flying saucer as ASCII art . The term is now commonly used and the operator is referred by the name within the Perl Plain Old Documentation documentation . This operator is also used in ASCII based mathematical notation to represent less than, equal to or greater than , and is synonymous with the symbols unicode and unicode . It can be used to test if the result of a calculation is actually a number. Example source lang php a 5 7 a is set to 1 a 7 5 a is set to 1 a 6 6 a is set to 0 source External links wikibooks Perl Programming http perldoc.perl.org perlop.html Equality Operators equality equal equals operator 2c equality Reference to the properties of the operator within perldoc http perldoc.perl.org Math ... more details
Unreferenced date November 2006 Orphan date November 2009 In Linear Algebra, define the Householder operator as follows. Let math V , math be a finite dimensional inner product space with unit vector math u in V math Then, the Householder operator is an Operator mathematics operator math H u V to V , math defined by math H u x x 2 langle x,u rangle u , math where math langle cdot, cdot rangle math is the inner product over math V , math Over a real vector space , the Householder operator is also known as the Householder transformation . The Householder operator has numerous properties such as linearity, being self adjoint, and is a unitary or orthogonal operator on V. Algebra stub Category Numerical linear algebra ... more details
Unreferenced date December 2009 The Exchange operator is a quantum mechanics quantum mechanical Operator mathematics operator used in the field of quantum chemistry . Specifically, it is a term found in the Hartree Fock Fock operator . It is defined as math hat K j 1 f 1 varphi j 1 int frac varphi j 2 f 2 r 12 dv 2 math where math hat K j 1 math is the one electron exchange operator, math f 1 , f 2 math are the one electron wavefunction being acted upon by the Exchange operator as functions of the positions of electron 1 and electron 2, math phi j 1 , phi j 2 math are the one electron wavefunction of the j th electron as functions of the positions of electron 1 and electron 2, math r 12 math is the distance between electrons 1 and 2. In Quantum physics Quantum Physics the Exchange Operator can be thought of as a Hermitian operator which swaps the labels on any two identical particles. See also Hamiltonian quantum mechanics Core Hamiltonian Coulomb operator DEFAULTSORT Exchange Operator Category Quantum chemistry ko it Operatore di scambio pt Operador de troca ... more details
Unreferenced date August 2009 In logic and mathematics , a parametric operator math Omega math with parameter math alpha math in the parametric set math Alpha math is a family mathematics indexed family of operators math Omega alpha Alpha Omega alpha alpha in Alpha math with index math alpha math in the index set math Alpha math . See also Operation mathematics Operation Operator Multigrade operator logic stub DEFAULTSORT Parametric Operator Category Logic Category Mathematical notation Category Functions and mappings bs Parametarski operator ... more details
Unreferenced stub auto yes date December 2009 In logic and mathematics , a multigrade operator math Omega math is a parametric operator with parameter k in the set N of non negative integers. The application of a multigrade operator math Omega math to a finite sequence of operands x sub 1 sub , , x sub k sub is typically denoted with the parameter k left tacit, as the appropriate application is implicit in the number of operands listed. Thus math Omega math x sub 1 sub , , x sub k sub may be taken for math Omega math sub k sub x sub 1 sub , , x sub k sub . See also Operation mathematics Operation Operator mathematics Operator DEFAULTSORT Multigrade Operator Category Logic Category Mathematical notation Category Functions and mappings Logic stub ... more details
Infobox Software name Ableton Operator caption logo File Ableton Operator logo.png 250px screenshot Image Ableton Operator.png 250px developer Ableton latest release date September 2006 operating system Microsoft Windows , Mac OS X genre Software synthesizer Virtual Fm synth FM synth website http www.ableton.com operator www.ableton.com Operator is a software synthesizer included in Ableton Live . It is a Fm synth frequency modulation synthesizer with 4 oscillators with individually assignable waveforms. It works only inside Ableton Live . Operator is unique in that each oscillator s waveform can be custom crafted through additive synthesis by selecting the level of each individual harmonic in the resultant waveform. ref http www.ableton.com operator ref Notes references music software stub Category Ableton Live ... more details
PSE Operator SA Polskie Sieci Elektroenergetyczne Operator SA is state owned transmission system operator in Poland . 100 of its shares is owned by the State Treasury. Until 2007, PSE Operator was a part of the PSE Group now Polska Grupa Energetyczna . ref name report2007 cite paper url http www.pse operator.pl uploads kontener Raport Roczny 2007 EN.pdf format PDF title Annual Report 2007 publisher PSE Operator date 2008 accessdate 2009 03 07 ref References Reflist External links http www.pse operator.pl PSE Operator SA website Category Power companies of Poland Category Electric power transmission system operators energy company stub poland company stub ... more details
Unreferenced date December 2009 The Coulomb operator , named after Charles Augustin de Coulomb , is a quantum mechanics quantum mechanical operator mathematics operator used in the field of quantum chemistry . Specifically, it is a term found in the Hartree Fock Fock operator . It is defined as math widehat J j 1 f 1 f 1 int left varphi j 2 right 2 frac 1 r 12 ,dv 2 math where math widehat J j 1 math is the one electron Coulomb operator defining the repulsion resulting from electron j , f 1 is a one electron wavefunction being acted upon by the Coulomb operator, math varphi j 2 math is the one electron wavefunction of the j th electron, math r 12 math is the distance between electrons 1 and 2. See also Core Hamiltonian Exchange operator DEFAULTSORT Coulomb Operator Category Quantum chemistry Category Theoretical chemistry Category Computational chemistry it Operatore coulombiano zh ... more details
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