In mathematics, the prolatespheroidalwavefunctions are a set of functions derived by timelimiting .... The timelimited functions math psi n n math are the ProlateSpheroidalWaveFunctions PSWFs ... 1961 articles bstj40 1 43.pdf ProlateSpheroidalWaveFunctions, Fourier Analysis and Uncertainty ... vol40 1961 articles bstj40 1 65.pdf ProlateSpheroidalWaveFunctions, Fourier Analysis and Uncertainty ... bstj vol41 1962 articles bstj41 4 1295.pdf ProlateSpheroidalWaveFunctions, Fourier Analysis and Uncertainty ... 6 3009.pdf ProlateSpheroidalWaveFunctions, Fourier Analysis and Uncertainty IV Extensions to Many Dimensions Generalized ProlateSpheroidalFunctions Bell System Technical Journal 43 1964 Slepian, D. http www.alcatel lucent.com bstj vol57 1978 articles bstj57 5 1371.pdf ProlateSpheroidalWaveFunctions ... Associated with ProlateSpheroidalWaveFunctions of Zero Order Bell System Technical Journal 44 1965 H. E. Hunter http hdl.handle.net 2027.42 5662 Tables of prolatespheroidalfunctions for m 0 Volume I. 1965 H. E. Hunter http hdl.handle.net 2027.42 5663 Tables of prolatespheroidalfunctions ... spheroidalWavefunctions Computing in Science & Engineering p. 84, May June 1999. I ... 1935 C. Flammer SpheroidalWaveFunctions. Stanford, CA Stanford University Press, 1957. Josef Meixner .... Little, and Fernando J. Corbat F. J. Corbat , SpheroidalWaveFunctions. New York Wiley, 1956. M ... 1.1974857 SpheroidalWaveFunctions Their Use and Evaluation The Journal of the Acoustical Society ... ps doc.html?dsn 124309 A Fortran Computer Program for Calculating the ProlateSpheroidal Radial Functions ... SpheroidalWavefunctions MathWorld http mathworld.wolfram.com ProlateSpheroidalWaveFunction.html ProlateSpheroidalWave Function MathWorld http mathworld.wolfram.com OblateSpheroidalWaveFunction.html Oblate SpheroidalWave function Category Special functions Category Wavelets ... , math Delta Phi k 2 Phi 0 math , by the method of separation of variables in prolatespheroidal coordinates ... more details
Spheroidalwavefunctions are solutions of the Helmholtz equation that are found by writing the equation in spheroidal coordinates and applying the technique of separation of variables , just like the use of spherical coordinates lead to spherical harmonics . They are called oblate spheroidalwavefunctions if oblate spheroidal coordinates are used and prolatespheroidalwavefunctions if prolatespheroidal coordinates are used. ref name Flammer1957 cite book author Flammer, C. year 1957 title Spheroidalwavefunctions publisher Stanford University Press Stanford, Calif isbn ref If instead of the Helmholtz equation, the Laplace equation is solved in spheroidal coordinates using the method of separation of variables, the spheroidalwavefunctions reduce to the spheroidal harmonics. With oblate spheroidal coordinates, the solutions are called oblate harmonics and with prolatespheroidal coordinates, prolate harmonics . Both type of spheroidal harmonics are expressible in terms of Legendre functions . See also Oblate spheroidal coordinates , especially the section Oblate spheroidal coordinates Oblate spheroidal harmonics Oblate spheroidal harmonics , for a more extensive discussion. References reflist C. Niven On the Conduction of Heat in Ellipsoids of Revolution. Philosophical transactions of the Royal Society of London, v. 171 p. 117 1880 M. Abramowitz and I. Stegun, Handbook of Mathematical function US Gov. Printing Office, Washington DC, 1964 dlmf id 30 first H. last Volkmer mathapplied stub Category Partial differential equations Category Special functions ... more details
Image Prolatespheroidal coordinates.png thumb right 325px The three Coordinate system Coordinate surface coordinate surfaces of prolatespheroidal coordinates. The red prolate spheroid stretched sphere corresponds to 1, and the blue two sheet hyperboloid corresponds to 45 . The yellow half plane ... coordinates of roughly 0.831, 1.439, 2.182 . Prolatespheroidal coordinates are a three dimensional ... the oblate spheroidal coordinates . Prolatespheroidal coordinates can be used to solve various ... Image ProlateSpheroidCoord.png thumb 360 px right Prolatespheroidal coordinates &mu and &nu for a 1 ... for any plane containing the z axis i.e. for any &phi . The most common definition of prolatespheroidal ... formulae found in orthogonal coordinates . Alternative definition Image Prolatespheroidal coordinates degenerate.png thumb right 250px In principle, a definition of prolatespheroidal coordinates ... presented here are degenerate. An alternative and geometrically intuitive set of prolatespheroidal ... to yield solutions in the form of prolatespheroidal harmonics , which are convenient to use when boundary conditions are defined on a surface with a constant prolatespheroidal coordinate See Smythe ... chapter ProlateSpheroidal Coordinates , , title Field Theory Handbook, Including Coordinate ... pages 19&ndash 29 Treats the prolatespheroidal coordinates as a limiting case of the general ellipsoidal ... nu 1 math shows that surfaces of constant math mu math form prolate spheroids , since they are ellipse ... tau cos nu math . Hence, the curves of constant math sigma math are prolate spheroids, whereas the curves ... at math z a math and math z a math , respectively. Unlike the analogous oblate spheroidal coordinates , the prolate spheroid coordinates , , are not degenerate in other words, there is a 1 to 1 ... links http mathworld.wolfram.com ProlateSpheroidalCoordinates.html MathWorld description of prolatespheroidal coordinates Orthogonal coordinate systems Category Coordinate systems zh ... more details
In mathematics , the spheroidalwave equation is given by math 1 t 2 frac d 2y dt 2 2 b 1 t , frac d y dt c 4qt 2 , y 0 math It is a generalization of the Mathieu differential equation . See also Wave equation Category Ordinary differential equations mathanalysis stub ... more details
and neutrons in an atomic nucleus are spherical , prolate and oblate spheroidal. Deformed shapes occur ... List of solar system objects by mass Oblate spheroid Oblate Prolatespheroidal coordinates ...Image ProlateSpheroid.png thumb right A prolate spheroid A prolate spheroid is a spheroid in which the polar axis is greater than the equator ial diameter. Prolate spheroids stand in contrast to Oblate spheroid oblate spheroids . The prolate spheroid is defined by the equation math mu c math for some arbitrary constant c , in prolatespheroidal coordinates . File Ellipse axis2.png thumb right A prolate spheroid can be formed by rotating an ellipse about its major axis . Properties The surface area of a prolate spheroid is discussed under spheroid . The volume of a prolate spheroid is calculated by math V frac 4 3 pi a 2 b math Uses The prolate spheroid is the shape of the ball in several sports, such as in Rugby union , Rugby league , and Australian rules football . In American football and Canadian football , a more pointed prolate spheroid is used one resembling a vesica piscis in cross section . ref See http www.ncaapublications.com Uploads PDF Football Rulesadc982b5 03fb 4e27 828c c2d26b95e6c1.pdf 2008 NCAA Football Rules and Interpretations, Sec. 1, Art. 1 ref Several moons of the Solar system approximate prolate spheroids in shape, though they are actually scalene. Examples are Mimas moon Mimas , Enceladus moon Enceladus , and Tethys moon Tethys satellites of Saturn and Miranda moon Miranda a satellite of Uranus . In contrast to being distorted into oblate spheroid s via rapid rotation, celestial objects distort slightly into prolate spheroids via tide tidal forces when they orbit a massive body in a close orbit. The most extreme example is Io moon Jupiter s moon Io , which becomes slightly more or less prolate in its orbit due to a slight eccentricity, causing spectacular volcanism . It should be noted that the major axis of the prolate spheroid does not run through ... more details
No footnotes date April 2009 Image Spheroidal weathering.jpg thumb 300px A broken basalt block 15 x 10 cm size showing spheroidal weathering. This piece of basalt is from Brazil, where the chemical weathering is prominent Image south africa sphere weath.JPG thumb 300px Spherodial weathering of granite near Musina , South Africa . Spheroidal weathering is a type of chemical weathering that creates rounded boulders and helps to create domed monolith s. This should not be confused with stream abrasion , a physical process which also creates rounded rocks on a much smaller scale. A good example of spheroidal weathering can be found in the Alabama Hills area of eastern California . Spheroidal weathering occurs whenever a mass of rock most typically granite granitic in composition , experiences a drastic reduction in ambient heat and pressure, such as when a batholith is exposed at the surface. Rock forms at great temperature s and pressure s 760 C and 300 MPa, for granitic rock , and in granites there are three mutually perpendicular sets of joints that develop when this overburden is removed. Two things cause this in granites the quartz crystals expand about 5 , and acid ic water attacks the feldspar minerals, turning them into clay . Thus the corners become rounded, because angular edges provide more than one area of attack by exposing a greater amount of surface area. Edges and especially corners of an angular block weather faster than flatter surfaces. The ultimate result of this process is a rounded boulder or a granite dome dome monolith such as the rounded back of Half Dome in Yosemite National Park . The process of spheroidal weathering is slower than other common types of weathering such as frost wedging , and it becomes lower still at progressively lower temperatures which slow down the chemical process of feldspar breakdown. Thus many granitic mountain ... 362 1 DEFAULTSORT Spheroidal Weathering Category Geological processes an Berrocal de Wollsackverwitterung ... more details
not be. Similarly the type checking functions return a code Boolean code recording whether the argument expression is of a particular type. In Transact SQL, the functions return zero or one rather than ... more details
Image Oblate spheroidal coordinates half hyperboloid.png thumb right 350px Figure 1 Coordinate isosurfaces for a point P shown as a black sphere in oblate spheroidal coordinates , , . The z axis is vertical ... system Cartesian coordinates of P are roughly 1.09, 1.89, 1.66 . Oblate spheroidal coordinates ... of radius math a math in the x y plane. Rotation about the other axis produces the prolatespheroidal coordinates . Oblate spheroidal coordinates can also be considered as a limiting case of ellipsoidal coordinates in which the two largest semi axis semi axes are equal in length. Oblate spheroidal ... spheroidal coordinates are also useful in problems of electromagnetism e.g., dielectric constant ... thumb 350 px right Figure 2 Plot of the oblate spheroidal coordinates &mu and &nu in the x z plane, where ..., in Figure 1. The most common definition of oblate spheroidal coordinates , , is math x a cosh mu ... in orthogonal coordinates . Definition , , Another set of oblate spheroidal coordinates math ... phi a sqrt 1 zeta 2 1 xi 2 math Knowing the scale factors, various functions of the coordinates can ... 1 zeta 2 right left 1 xi 2 right frac partial 2 V partial phi 2 math Oblate spheroidal harmonics ... by the method of separation of variables to yield solutions in the form of oblate spheroidal harmonics ... oblate spheroidal coordinate. Following the technique of separation of variables , a solution to Laplace .... The product of the three solutions is called an oblate spheroidal harmonic and the general solution ... , , Image Oblate spheroidal coordinates full hyperboloid.png thumb right 350px Figure 3 Coordinate isosurfaces for a point P shown as a black sphere in the alternative oblate spheroidal ... black spheres located at x , y , z . An alternative and geometrically intuitive set of oblate spheroidal ... from the equations transforming from oblate spheroidal coordinates to the Cartesian coordinates ... for the alternative oblate spheroidal coordinates math sigma, tau, phi math are math h sigma a sqrt ... more details
A prolate trochoidal mass spectrometer is an chemical analysis instrument in which the ions of different mass to charge ratio are separated by means of mutually perpendicular electric field electric and magnetic field s so that the ions follow a prolate trochoid trochoidal path. ref name PhysRev.53.521 cite journal title A New Mass Spectrometer with Improved Focusing Properties journal Phys. Rev. date 1938 first Walker last Bleakney coauthors John A. Hipple, Jr. volume 53 issue 7 pages 521 529 doi 10.1103 PhysRev.53.521 url http link.aps.org abstract PR v53 p521 format accessdate 2007 10 02 ref ref GoldBookRef title Prolate trochoidal mass spectrometer file P04874 ref These devices are sometimes called cycloidal mass spectrometers, although the path is not a cycloid the prolate trochoid path has loops, the cycloid has cusps . Applications The instruments are used for the analysis of gases ref name pmid3149538 cite journal author Adamczyk B, Bederski K, W jcik L title Mass spectrometric investigation of dissociative ionization of toxic gases by electrons at 20 1000 eV journal Biomed. Environ. Mass Spectrom. volume 16 issue 1 12 pages 415 7 year 1988 pmid 3149538 doi 10.1002 bms.1200160181 ref and in gas chromatography mass spectrometry . ref name pmid8154592 cite journal author Laram e JA, Deinzer ML title Capillary gas chromatographic introduction of environmental compounds into a trochoidal electron monochromator mass spectrometer journal Anal. Chem. volume 66 issue 5 pages 719 24 year 1994 pmid 8154592 doi 10.1021 ac00077a022 ref The trochoidal configuration can also be used as the basis of an electron monochromator . ref name pmid12964744 cite journal author Voinov VG, Vasil ev YV, Morr J, Barofsky DF, Deinzer ML, Gonin M, Egan TF, F hrer K title A resonant electron capture time of flight MS with trochoidal electron monochromator journal Anal. Chem. volume 75 issue 13 pages 3001 9 year 2003 pmid 12964744 doi 10.1021 ac030019v ref References Reflist External links ... more details
about waves in the scientific sense other uses of wave or waves Wave disambiguation File 2006 01 14 Surface waves.jpg thumb right 300px Surface wave s in water In physics , a wave is a disturbance or oscillation that travels through spacetime , accompanied by a transfer of energy . Wave motion transfers ... around almost fixed locations. Waves are described by a wave equation which sets out how ... of wave. There are two main types of waves. Mechanical wave s propagate through a medium, and the substance ... . This keeps the molecules from continuing to travel in the direction of the wave. The second type of wave, electromagnetic wave s, do not require a medium. Instead, they consist of periodic oscillations ... a vacuum . These types of waves vary in wavelength, and include radio wave s, infrared radiation , visible light , ultraviolet radiation , X ray s, and gamma ray s. A wave can be transverse wave transverse or longitudinal wave longitudinal depending on the direction of its oscillation. Transverse ... definition for the term wave is not straightforward. A vibration can be defined as a back and forth motion around a reference value. However, a vibration is not necessarily a wave. An attempt to define the necessary and sufficient characteristics that qualify a phenomenon to be called a wave results in a fuzzy border line. The term wave is often intuitively understood as referring to a transport ... as a whole. In a wave, the energy of a vibration is moving away from the source in the form of a disturbance ... for a standing wave for example, a wave on a string , where energy is moving in both directions equally ... and interaction with a target is the key to wave detection and practical applications. There are water ... wave phenomena. It may appear that the description of waves is closely related to their physical origin for each specific instance of a wave process. For example, acoustics is distinguished from optics in that sound waves are related to a mechanical rather than an electromagnetic wave transfer caused ... more details
The Wave may refer to The Wave TV special The Wave TV special , a made for TV movie based on the experiment The Wave novel The Wave novel , a 1981 young adult novel by Todd Strasser The Wave 2008 film The Wave 2008 film , a German film adapted from the novel The Wave building , a residential skyscraper on the Gold Coast, Australia The Wave, Arizona , a sandstone formation The Wave , English title of Redes film Redes , a Mexican film The Wave of Long Island , a newspaper The Wave in Vejle , a residential building complex in Vejle, Denmark The Great Wave off Kanagawa , a woodblock print by 19th century Japanese artist Hokusai The Third Wave , a 1967 high school experiment inspired by Nazism Wave audience , an occurrence at sporting events A painting by William Adolphe Bouguereau A type of caster board Radio stations The Wave 96.4 FM , in Swansea, Wales CHWV FM , in Saint John, New Brunswick CJLS FM , in Yarmouth, Nova Scotia CKWV FM , in Nanaimo, British Columbia WNWV , in Cleveland, Ohio KTWV , Smooth Jazz staton in Los Angeles CIWV FM , Canadian Smooth Jazz Station The Wave German radio , radio station of RTL Group from Berlin, Germany See also Wave disambiguation The Waves , a novel Stop Climate Chaos The Wave The Wave protest , a Climate Change protest in London and Glasgow held on the 5th December 2009 disambig de The Wave ja The wave ... more details
The term T wave may refer to In medicine T wave , a portion of the recording of a heartbeat in an electrocardiogram In physics Terahertz radiation , electromagnetic radiation in the microwave band. disambig ... more details
Infobox Galaxy name Pegasus Dwarf Spheroidal Galaxy image File Pegasus dSph.gif 250px caption type dSph ref name Karachentsevetal2006 epoch J2000 ra RA 23 51 46.3 ref name ned cite web title NASA IPAC Extragalactic Database work Results for Pegasus Dwarf Spheroidal url http nedwww.ipac.caltech.edu accessdate 2006 11 11 ref dec DEC 24 34 57 ref name ned dist ly 1 E22 m 2.7 0.1 light year Mly 820 20 parsec kpc ref name Karachentsevetal2006 ref name karachentsevetal2004 cite journal author I. D. Karachentsev, V. E. Karachentseva, W. K. Hutchmeier, D. I. Makarov title A Catalog of Neighboring Galaxies journal Astronomical Journal year 2004 volume 127 issue 4 pages 2031 2068 bibcode 2004AJ....127.2031K doi 10.1086 382905 ref z 354 3 km second s ref name ned appmag v 14.2 ref name ned size v 4&prime .0 × 2&prime .0 ref name ned constellation name Pegasus constellation Pegasus notes names Pegasus II, ref name ned Andromeda VI, ref name ned Peg dSph, ref name ned KKH 99 ref name ned The Pegasus Dwarf Spheroidal also known as Andromeda VI or Peg dSph for short is a dwarf spheroidal galaxy about 1 E22 m 2.7 million light year s away in the constellation Pegasus constellation Pegasus . The Pegasus Dwarf is a member of the Local group of galaxies and a satellite galaxy of the Andromeda Galaxy M31 . General information Pegasus Dwarf Spheroidal is a galaxy with mainly metal poor stellar populations. Citation needed date February 2007 Its metallicity is Fe H 1.3. ref name McConnachieetal2005 ... Ref label A a none from the Andromeda Galaxy . Pegasus Dwarf Spheroidal was discovered in 1999 ref name Pritzletal2005 Cite journal bibcode 2005AJ....129.2232P title The Dwarf Spheroidal Companions to M31 ... cgi bin nph objsearch?objname pegasus dwarf spheroidal NASA IPAC Extragalactic Database Pegasus Dwarf Spheroidal http www.journals.uchicago.edu AJ journal issues v118n3 990209 990209.html Armandroff ... . Category Dwarf spheroidal galaxies Category Local Group Category Low surface brightness galaxies ... more details
Orphan date October 2010 cleanup date October 2010 File WAVe.png thumb WAVe logo WAVe stands for Web Analysis of the Variome is a next generation web based bioinformatics tool for the Human Variome Project human variome research domain. Availability WAVe is available for public usage at http bioinformatics.ua.pt WAVe and enables gene centric navigation over miscellaneous resources in a modern and agile web interface. Funding WAVe is being developed for the GEN2PHEN European GEN2PHEN Project by the http bioinformatics.ua.pt UA.PT Bioinformatics and Computational Biology group at the Aveiro University University of Aveiro . Architecture WAVe is based on a lightweight integration architecture ref http issuu.com pedrolopes docs linkintegrator ref and uses Arabella web crawler ref http issuu.com pedrolopes docs arabella ref combined with a Java based data gathering engine to aggregate multiple resources in a centralized database. References Reflist External links http bioinformatics.ua.pt WAVeWAVe Categories Category Bioinformatics Bioinformatics stub ... more details
Infobox Galaxy name Sextans Dwarf Spheroidal epoch J2000 type dSph ref name ned cite web title NASA IPAC Extragalactic Database work Results for Sextans Dwarf url http nedwww.ipac.caltech.edu accessdate 2006 11 29 ref ra RA 10 13 02.9 ref name ned dec DEC 01 36 53 ref name ned dist ly 1 E18 m 290 30 light year kly 90 10 parsec kpc ref name karachentsevetal2004 cite journal author I. D. Karachentsev, V. E. Karachentseva, W. K. Hutchmeier, D. I. Makarov title A Catalog of Neighboring Galaxies journal Astronomical Journal year 2004 volume 127 issue 4 pages 2031 2068 bibcode 2004AJ....127.2031K doi 10.1086 382905 ref ref name Karachentsevetal2006 cite journal author Karachentsev, I. D. Kashibadze, O. G. title Masses of the local group and of the M81 group estimated from distortions in the local velocity field journal Astrophysics year 2006 volume 49 issue 1 pages 3 18 bibcode 2006Ap.....49....3K doi 10.1007 s10511 006 0002 6 ref z 224 2 km second s ref name ned appmag v 12. ref name ned size v 30&prime .0 × 12&prime .0 ref name ned constellation name Sextans notes satellite galaxy of the Milky Way names Sextans I, ref name ned LEDA 88608 ref name ned The Sextans Dwarf Spheroidal is a dwarf spheroidal galaxy that was discovered in 1990 by Mike Irwin, M.T. Bridgeland, P.S. Bunclark and R.G. McMahon as the 8th satellite of the Milky Way ref cite web title Sextans Dwarf url http www.seds.org spider spider LG sex dw.html accessdate 2009 06 11 ref ref cite journal author M. J. Irwin, P. S. Bunclark, M. T. Bridgeland, R. G. McMahon, R. G. title A new satellite galaxy of the Milky Way in the constellation of Sextans journal Monthly Notices of the Royal Astronomical Society year 1990 volume 244 pages 16 19 bibcode 1990MNRAS.244P..16I last2 Bunclark last3 Bridgeland last4 McMahon ref , and is named fittingly, as it is located in the constellation of Sextans . It is also an elliptical ... reflist Milky Way Sky 10 13 02.9 01 36 53 290000 Category Dwarf spheroidal galaxies Category Local ... more details
Special functions are particular function mathematics mathematical function s which have more or less ... functions contains functions which are commonly accepted as special. In particular, elementary functions are also considered as special functions. under construction Tables of special functions Many special functions appear as solutions of differential equation s or integral s of elementary functions ... pages url doi id isbn ref usually include descriptions of special functions, and tables of special functions ref name IRENE cite book last Abramowitz first Milton authorlink coauthors Irene A. Stegun title Handbook of Mathematical Functions publisher date 1964 location pages url doi id isbn ref include most important integrals at least, the integral representation of special functions. Because ... functions is closely related to the theory of Lie group s and Lie algebra s, as well as certain ... the majority of special functions. Not all such systems have efficient algorithms for the evaluation, especially in the complex plane. Notations used in special functionsFunctions with established .... For example, the Trigonometric functions tangent tangent function may be denoted Tan, tan or tg ..., the translation to algorithmic languages admits Ambiguity Ambiguity in names of functions ambiguity ... with the others. Evaluation of special functions Most special functions are considered ... functions a complicated special function can be expressed in terms of simpler functions. Various ... of complex argument s . History of special functions Classical theory While trigonometry can be codified ... for a complete and unified theory of special functions has continued since the nineteenth century ... the wish for a broad theory including as many as possible of the known special functions has its intellectual appeal, but it is worth noting other motivations. For a long time, the special functions ... and engineering determined the relative importance of functions. In the days before the electronic computer ... more details
for the lowest energy electronic wavefunction in atomic physics atomic orbital for the S wave on an electrocardiogram ... Onde cisaillement impulsion 1d 30 petit.gif thumb 305px Plane shear wave Image Ondes cisaillement 2d 20 petit.gif thumb 305px Propagation of a spherical S wave in a 2d grid empirical model A type of Linear elasticity Elastic wave elastic wave , the S wave , secondary wave , or shear wave sometimes called an elastic S wave is one of the two main types of elastic body wave seismology body wave s, so named because they move through the body of an object, unlike surface wave s. The S wave moves as a shear or transverse wave , so motion is perpendicular to the direction of wave propagation S waves are like waves in a rope, as opposed to waves moving through a slinky , the P wave . The wave moves ... Image Earthquake wave shadow zone.svg thumb 150px The shadow zone of a P wave . S waves don t penetrate ... seismogram , after the compressional wave compressional primary wave, or P wave, because S waves travel slower in rock. Unlike the P wave, the S wave cannot travel through the molten outer core of the Earth ... appear in the solid inner core when a P wave strikes the boundary of molten and solid cores, called ... plane, they are classified as SV waves. When an S or P wave strikes an interface at an angle other than ... solid media, mode conversion results. If a P wave strikes an interface, four propagation modes may result reflected and transmitted P and reflected and transmitted SV. Similarly, if an SV wave strikes ... are described by the Zoeppritz equations , which in turn are solutions to the wave equation ... s 2nd law in this situation gives the homogeneous equation of motion for seismic wave propagation math ... gives the seismic wave equation in homogeneous media math rho ddot boldsymbol u left lambda ... 2 frac partial 2 nabla times boldsymbol u partial t 2 0 math which is simply the wave equation applied ... S wave propagation. Taking the divergence of seismic wave equation in homogeneous media instead ... more details
Merge from No Wave Cinema discuss Talk No Wave Merger proposal date December 2011 Multiple issues refimprove ... No Wave bgcolor crimson color white stylistic origins Punk rock br Avant garde music Avant garde ref ... of punk rock New Wave music New wave Post punk No Wave was a short lived but influential underground ... 1970s in New York City . ref name romanowski The term No Wave is in part satirical word play rejecting the commercial elements of the then popular New Wave music New Wave genre . The term originates from a 1981 show, New York New Wave , curated by artist Diego Cortez. ref Alison Pearlman, Unpackaging ... March 2010 No Wave is not a clearly definable musical genre with consistent features. Various groups ... music experimental . There are, however, some elements common to most No Wave music ... all books no wave.html No Wave , with a foreword by Weasel Walter London Black Dog Publishing, 2007 .... ref No Wave had a notable influence on noise and Industrial music industrial bands which followed ... in reference to a bunch of nihilists, I do feel fond of the No Wave people. James Chance s music actually ... No Wave inspired the Speed Trials noise rock series organized by Live Skull members in May 1983 at White ... ref Other No Wave musicians Do not add musicians here who are discussed previously in the article. In addition ... No Wave ref name WW archive cite web last Walter first Weasel title New York No Wave Archive url http nowave.pair.com no wave nycnowave index.html work New York No Wave Archive accessdate 27 January ... The Static Ut band Ut Von LMO Y Pants div col end No Wave Cinema No Wave Cinema was an underground ... to the Cinema of Transgression and work by Nick Zedd and Richard Kern . No Wave visual artists ... David Wojnarowicz div col end No Wave Afterlife In a foreword to the book No Wave , Weasel Walter ... movement known as No Wave were found in many other archetypes before and just as many afterwards, but for a few ... hot focus. ref name Masters Masters, Marc. 2007 No Wave London, UK Black Dog Publishing ref blockquote ... more details
cleanup linkrot date August 2011 Infobox album See Wikipedia WikiProject Albums Name Wave on Wave Type studio Longtype Artist Pat Green Cover Pat Green Wave on Wave.jpg Released Start date 2003 07 15 Recorded 2002 3 at Pedernales Studio, Spicewood, Texas Wave on Wave recorded at Cartee Day Studio, Nashville, Tennessee ref name Wave Genre Country music Country Length 54 02 Label Universal Records Universal ... , Don Gehman , Doug Morris Last album Three Days album Three Days br 2001 This album Wave on Wave br 2003 Next album Lucky Ones Pat Green album Lucky Ones br 2004 Misc Singles Name Wave on Wave Type studio Single 1 Wave on Wave song Wave on Wave Single 1 date May 26, 2003 Single 2 Guy Like Me Single ... class album id r649332 pure url yes title Wave on Wave review last Jurek first Thom work Allmusic accessdate July 4, 2011 ref noprose yes Wave on Wave is the seventh studio album released by American ... charting single, peaking at No. 3 on the country charts, while A Guy Like Me reached No. 31. Wave on Wave ... guitar line from Wave on Wave closely resembles the guitar line from Mike and the Mechanics The Living ... Wilkins length2 4 03 title3 Wrapped writer3 Green, Wilkins length3 3 28 title4 Wave on Wave song Wave on Wave writer4 Green, Neuhauser, Justin Pollard length4 4 04 title5 California writer5 Green length5 ... As listed in liner notes. ref name Wave cite album notes title Wave on Wave bandname Pat Green year ... guitar Special guest appearances John Carroll electric guitar on Elvis Chad Cromwell drums on Wave on Wave Mike Daly steel guitar , dobro John Jarvis piano on Wave on Wave Sasha Ostrovsky steel guitar on Wave on Wave Waylon Payne acoustic guitar on Elvis , harmony vocals Brent Rowan electric guitar on Wave on Wave Walt Wilkins acoustic guitar on Wrapped , harmony vocals Curtis Wright background vocals on Wave on Wave Chart performance Album class wikitable Chart 2003 Peak br position U.S. Billboard ... size smaller width 45 Hot Country Songs US Country width 45 Billboard Hot 100 US 2003 align left Wave ... more details
The four ego functions postulated by C.G. Jung in Psychological Types are Sensation, Thinking, Feeling, and Intuition. Jung suggested that people start life developing one of these four ego functions, and at various stages throughout their life may develop others, the undeveloped ones having less effect on their cognition. Typically, the second ego function might become developed during adolescence, and the development of a third accounts for mid life crises. External links http www.kheper.net topics Jung typology.html The four ego functions kheper.net Category Jungian psychology Category Carl Jung sv Jagfunktioner ... more details
Image NGC147.jpg thumb 300px NGC 147 , a dwarf spheroidal galaxy of the Local Group Dwarf spheroidal galaxy dSph is a technical term term in astronomy applied to low luminosity galaxies that are companions to the Milky Way and to the similar systems that are companions to the Andromeda Galaxy Andromeda Galaxy M31 . While similar to dwarf elliptical galaxy dwarf elliptical galaxies in appearance and properties such as little to no interstellar medium gas or dust or recent star formation , they are approximately spheroid al in shape, generally lower luminosity, and are only recognized as satellite galaxies in the Local Group . ref name Mashchenkoetal2006 citation title Constraining Global Properties of the Draco Dwarf Spheroidal Galaxy last1 Mashchenko first1 Sergey last2 Sills first2 Alison last3 Couchman first3 H. M. date March 2006 journal The Astrophysical Journal volume 640 issue 1 pages 252 269 bibcode 2006ApJ...640..252M doi 10.1086 499940 arxiv astro ph 0511567 ref While there were nine classical dSph galaxies discovered up until 2005, the Sloan Digital Sky Survey has resulted in the discovery of 11 more dSph galaxies this has radically changed the understanding of these galaxies by providing a much larger sample to study. ref name simponandGeha2007 citation last1 Simon first1 Josh authorlink1 Josh Simon last2 Geha first2 Marla authorlink2 Marla Geha title The Kinematics of the Ultra faint Milky Way Satellites Solving the Missing Satellite Problem date November 2007 journal The Astrophysical Journal volume 670 issue 1 pages 313 331 bibcode 2007ApJ...670..313S doi 10.1086 521816 ref Recently, as growing evidence has indicated that the vast majority of dwarf ellipticals have properties that are not at all similar to elliptical galaxies, but are closer to irregular and late ... Sidney authorlink1 Sidney van den Bergh title Globular Clusters and Dwarf Spheroidal Galaxies date ... Entirely of Dark Matter References references Galaxy Category Dwarf spheroidal galaxies Category ... more details
Soil functions are general capabilities of soil s that are important for various agriculture agricultural , ecosystem environmental , Environmental preservation nature protection , landscape architecture and Urban area urban applications. Six key soil functions are ref cite book author Blum, WEH date 1993 title Soil Protection Concept of the Council of Europe and Integrated Soil Research work Soil and Environment Vol 1 editor HJP Eijsackers and T Hamers pages 37 47 publisher Kluwer Academic Publisher, Dordrecht ref , ref cite book author DETR date 2001 title title unknown ref Food and other biomass production Environmental Interaction storage, filtering, and transformation Biological Habitat ecology habitat and gene pool Source of raw materials Physical and cultural heritage Platform for man made structures buildings, highways Mapping soil functions Soil map s can depict soil properties and functions in the context of specific soil functions such as agricultural food production, environmental protection, and civil engineering considerations. Maps can depict functional interpretations of specific properties such as critical nutrient levels, heavy metal levels or can depict interpretation of multiple properties such as a map of erosion risk index. Mapping of function specific soil properties is an extension of soil survey , using maps of Soil Soil components soil components together with auxiliary information including pedotransfer function s and soil inference models to depict inferences about the specific performance of soil mapping units. See also Digital soil mapping Pedotransfer function References references Category Soil science Functions, soil ... more details
In mathematics , two function mathematics functions math f math and math g math are called orthogonal if their inner product math langle f,g rangle math is zero for f g . How the inner product of two functions is defined may vary depending on context. However, a typical definition of an inner product for functions is math langle f,g rangle int f x g x ,dx math with appropriate integral integration boundaries. Here, the asterisk indicates the complex conjugate of f. For an intuitive perspective on this inner product, suppose approximating vectors math vec f math and math vec g math are created whose entries are the values of the functions f and g , sampled at equally spaced points. Then this inner product between f and g can be roughly understood as the dot product between approximating vectors math vec f math and math vec g math , in the limit as the number of sampling points goes to infinity. Thus, roughly, two functions are orthogonal if their approximating vectors are perpendicular under this common inner product . http maze5.net ?page id 369 Solutions of linear differential equation s with boundary conditions can often be written as a weighted sum of orthogonal solution functions a.k.a. eigenfunction s . Examples of sets of orthogonal functions Hermite polynomials Legendre polynomials Spherical harmonics Walsh function s Zernike polynomials Chebyshev polynomials Generalization of vectors It can be shown that orthogonality of functions is a generalization of the concept of orthogonality of vectors. Suppose we define V to be the set of variables on which the functions f and g operate. In the example above, V x since x is the only parameter to f and g . Since there is one parameter, one integral sign is required to determine orthogonality. If V contained two variables, it would be necessary to integrate twice over a range of each variable to establish orthogonality. If V is an empty set, then f and g are just constant vectors, and there are no variables ... more details
of Nash functions are well understood. The ring of germ mathematics germs of Nash functions at a point ... henselization of the ring of germs of rational functions. In particular, it is a regular local ring ... of Nash functions on a Nash manifold even non compact is noetherian ring noetherian was proved ... is generated by Nash functions on math U i math . Then math mathcal I math is globally generated by Nash functions on M , and the natural map math H 0 M, mathcal N to H 0 M, mathcal N mathcal I math is surjective ... manifolds. Generalizations Nash functions and manifolds can be defined over any real closed field instead of the field of real numbers, and the above statements still hold. Abstract Nash functions ... on Nash functions. Revista Matem atica Complutense 17 2004 , 83 115. G. Efroymson A Nullstellensatz ... more details
acute myocardial infarction is sometimes the hyperacute T wave , which can be distinguished from ... left bundle branch block is present, the T wave should be deflected opposite the terminal deflection of the QRS complex. This is known as appropriate T wave discordance . Frequency of inverted T waves ... more details
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