Infobox Newspaper name Image The Daily Reflector Logo.png image Image The Daily Reflector front cover.png 250px caption The 2009 07 08 front page of br The Daily Reflector type Daily Newspaper format Broadsheet foundation January 10, 1882 ceased publication price owners Cooke Communications publisher D. Jordan Whichard editor Al Clark chiefeditor assoceditor staff language political circulation 19,300 Daily br 22,000 Sunday headquarters Greenville, North Carolina oclc ISSN website http www.Reflector.com www.Reflector.com The Daily Reflector is a daily newspaper that serves Pitt County, North Carolina Pitt County and eastern North Carolina . It is headquartered in Greenville, North Carolina . History The paper was originally titled The Eastern Reflector , and was founded in 1882 by David Jordan and Julian Whichard. They founded the paper in a part of their mothers school house with equipment they bought from another paper they had worked for, The Greenville Express. It became known and published daily as The Reflector on Dec. 10, 1894. The Daily Reflector joined the Cox Enterprises Cox Newspapers Inc. family in 1996. Her and mixer are free monthly magazines produced by The Daily Reflector. Her as the name implies is a magazine for women. mixer written with a lowercase m 18 to 35 year old population which includes the large student bodies of East Carolina University and Pitt Community College with local music, night spots and events for the same area. In January, 2009, the publication found itself in a financial crunch. Faced with a heavy decline in both readership and advertising ... to sell three of its North Carolina newspapers the Rocky Mount Telegram, The Daily Reflector ... and publisher of The Daily Reflector. http www.rockymounttelegram.com news cooke communications to buy cox nc publications 728132.html External links http www.reflector.com The Daily Reflector website DEFAULTSORT Daily Reflector, The Category Newspapers published in North Carolina Category Publications ... more details
italic title Image Gospel Reflector 1841.jpg right thumb 150px First issue of The Gospel Reflector January, 1841. The Gospel Reflector was the first independent Mormon periodical. It was published by Benjamin Winchester , the Branch president president of the Philadelphia Branch Latter Day Saint movement Branch of The Church of Christ Latter Day Saints Church of Jesus Christ of Latter Day Saints . The Gospel Reflector was published bi weekly beginning in January 1841 and ended with the twelfth edition in June 1841. It s motto was When God works who can hinder? ref The quote can be seen on the first page of each issue. ref See also List of Latter Day Saint periodicals Notes reflist External links http contentdm.lib.byu.edu cdm ref collection NCMP1820 1846 id 6029 The Gospel Reflector PDF scans courtesy of the L. Tom Perry Special Collections, Harold B. Lee Library , Brigham Young University . LDSChurchpubs Category Defunct newspapers of the United States Category Latter Day Saint periodicals Category Publications established in 1841 Category Publications disestablished in 1841 Category Latter Day Saint movement in Pennsylvania Category 1841 in religion LDS stub Christian mag stub ... more details
Infobox software name .NET Reflector screenshot File DotNetReflector.png 300px author Lutz Roeder developer ... www.reflector.net .NET Reflector is a class browser , decompiler and static analyzer for software ... by DASHBot ref Overview .NET Reflector was the first .NET assembly browser. fact date March 2009 ... Reflector allows decompilation of .NET assemblies into C Sharp programming language C , Visual Basic .NET , Common Intermediate Language and F Sharp programming language F alpha version . Reflector ... they call. It will show the metadata , resources and XML documentation. .NET Reflector can be used ... other. There are a large number of addins for Reflector. .NET Reflector can be used to track .... It can be used to effectively convert source code between C and VB. .NET Reflector has been designed .... Some add ins are designed to facilitate testing by creating stubs and wrappers. History .NET Reflector ... url http www.simple talk.com reflector interview.htm title The Future of .NET Reflector last Cramblitt ... http www.simple talk.com reflector interview.htm archivedate 22 August 2008 Added by DASHBot ref In February 2010 Red Gate released .NET Reflector 6 along with a commercial software commercial Pro edition ... source code. On 10 January 2011 Red Gate announced that .NET Reflector 7 would incorporate Jason Haley s PowerCommands add in. ref cite web last Read first Bart title More Big News .NET Reflector ... ref On 1 February 2011 Red Gate announced that .NET Reflector would become a commercial product as of version ... www.red gate.com products dotnet development reflector announcement accessdate 2011 02 02 ref which ... to make .NET Reflector 6 available for free to existing users. ref cite web first Neil last Davidson title Why we reversed some of our Reflector decision url http www.reflector.net 2011 04 why we reversed some of our reflector decision ref References reflist Category .NET programming tools Reflector Category Decompilers de .NET Reflector it .NET Reflector ru .NET Reflector ... more details
A route reflector RR is a network routing component. It offers an alternative to the logical full mesh requirement of internal border gateway protocol IBGP . An RR acts as a focal point for IBGP sessions. The purpose of the RR is concentration. Multiple BGP routers can peer with a central point, the RR acting as a route reflector server rather than peer with every other router in a full mesh. All the other IBGP routers become route reflector clients. This approach, similar to OSPF s DR BDR feature, provides large networks with added IBGP scalability. In a fully meshed IBGP network of 10 routers, 100 individual statements spread throughout all routers in the topology are needed just to define the remote Autonomous system Internet AS of each peer this quickly becomes a headache to administer. A RR topology could cut these 100 statements down to 20, offering a viable solution for the larger networks administered by ISPs. A route reflector is a single point of failure, therefore at least a second route reflector should be configured in order to provide redundancy. Rules RR servers propagate routes inside the Autonomous system Internet AS based on the following rules If a route is received from nonclient peer, reflect to clients only. If a route is received from a client peer, reflect to all nonclient peers and also to client peers, except the originator of the route. If a route is received from an EBGP peer, reflect to all client and nonclient peers. See also BGP confederation External links https www.juniper.net customers csc documentation techdocs downloads pdf 350010.pdf Juniper tech note on differences between BGP route reflectors and confederations Category Routing fr Route reflector compu network stub ... more details
Unreferenced date February 2011 A neutron reflector is any material that reflects neutron s. This refers to elastic scattering rather than to a specular reflection . The material may be graphite , beryllium , steel , and tungsten carbide , or other materials. A neutron reflector can make an otherwise subcritical mass of fissile material critical, or increase the amount of nuclear fission that a critical mass critical or supercritical mass will undergo. An example of this is the Demon core Demon Core , a subcritical plutonium Pit nuclear weapon pit that went Critical mass critical in two separate fatal incidents when the pit s surface was momentarily surrounded by too much neutron reflective material. Nuclear reactors In a uranium graphite chain reacting pile, the critical mass critical size may be considerably reduced by surrounding the pile with a layer of graphite, since such an envelope reflects many neutrons back into the pile. To obtain a 30 year life span, the SSTAR nuclear reactor design calls for a moveable neutron reflector to be placed over the column of fuel. The reflector s slow downward travel over the column would cause the fuel to be burned from the top of the column to the bottom. A reflector made of a light material like graphite or beryllium will also serve as a neutron moderator reducing neutron kinetic energy, while a heavy material like lead or lead bismuth eutectic will have less effect on neutron velocity. Nuclear weapons A similar envelope can be used to reduce the critical size of a nuclear weapon , but here the envelope has an additional role its very inertia delays the expansion of the reacting material. For this reason such an envelope is often ... system. The primary stage of a modern thermonuclear weapon may use a lightweight beryllium reflector .... See also Nuclear weapon design References reflist DEFAULTSORT Neutron Reflector Category Neutron ... es Reflector de neutrones ja pl Reflektor neutron w pt Reflector de neutr es ... more details
Image Corner reflector.svg thumb Working principle of a corner reflector A corner reflector is a retroreflector consisting of three mutually perpendicular, intersecting flat surfaces, which reflects wave s back directly towards the source, but shifted Translation geometry translated . The three intersecting surfaces often have square shapes. Radar corner reflectors made of metal are used to reflect radio waves from radar sets. Optical corner reflectors, called corner cubes , made of three sided glass prisms, are used in surveying. The term is also used for a corner reflector antenna , consisting of two flat metal surfaces at a right angle, with a dipole antenna in front of them. How it works The incoming ray is reflected three times, once by each surface, which results in a reversal of direction. To see this, the three corresponding normal vectors of the corner s perpendicular sides can be considered to form a basis linear algebra basis a rectangular coordinate system x , y , z in which ... , c to a , b , c to a , b , c and it leaves the corner reflector with all three components of direction ... screens. A simple corner reflector consists of three conducting sheet metal or screen surfaces ... waves coming from in front of them back parallel to the incoming beam. To create a corner reflector ... Motoryacht 3596.JPG left thumb A radar corner reflector diamond shaped object on the mast of a yacht ... corner reflector structures can be incorporated into reflective paint for increased visibility at night ... of corner reflector. Image Winkelreflektor2.png right thumb triangular corner reflector as cut .... Image corner reflector.JPG thumb right A corner reflector for radar testing Image buoy seal.jpg left ... signals. See also Cat s eye road Cat s eye reflector Lunar Laser Ranging Experiment eLiE References ... Corner Reflector Antennas http www.antenna theory.com antennas reflectors cornerReflector.php Corner Reflector for WiFi http www.freeantennas.com projects Ez 10 DEFAULTSORT Corner Reflector Category Mirrors ... more details
File Radiator Reflector installation process composite.jpeg thumb Radiator reflector panels being installed behind a domestic radiator A radiator reflector is a thin sheet or foil applied to the wall behind, and closely spaced from, a domestic heating radiator heating radiator . The intention is to reduce heat losses into the wall, and thus to outside the building. This increases the effective heating power of the radiator and so reduces fuel expenditure. Although the foils are termed reflectors , they do not have much effect on thermal radiation radiated heat or its reflection. As radiators work at a relatively low temperature, the Stefan Boltzmann law ref group note The Stefan Boltzmann law states that the effectiveness of a thermal radiator is proportional to the fourth power of its absolute temperature . A hot water radiator at convert 77 C K has only 1 4 the emissive power of a stove at convert 220 C K , or 1 16 that of a radiant element at convert 427 C K ref means that they are weak radiators of heat. Most heat from a domestic radiator is as convection currents of heated air. Where a reflector foil has some insulating ability against thermal conduction conduction i.e. losses through the wall , it may have some useful effect. This is most pronounced when the wall itself has poor insulation performance in a wall constructed to modern standards of insulation, even this effect ... reflector of ordinary aluminium Tin foil kitchen foil is useful. This highly reflective foil is used ... a risk that reflector s made from kitchen foil may soon become inefficient, as aluminium oxidation oxidizes very quickly and then loses its reflective quality. A more effective DIY radiator reflector ... radiator reflector url http www.radflek.com the product technical info.php publisher Radflek ref ... reflector panel url http www.radflek.com downloads BBA Radflek Report.pdf format pdf publisher ... Reflist group note liststyle lower roman Reflist colwidth 30em DEFAULTSORT Radiator Reflector Category ... more details
good article File Mark III free gun reflector sight mk 9 variant reflex sight animation.gif thumb right 250px A view through the Mark III Free Gun Reflector Sight , first produced in 1943, used on army ... even though the viewer s head is moved side to side. A reflector or reflex sight is a generally non ..., page 305 McGraw Hill Book Company 2002. snippet These are usually of the reflector type ... at infinity. Reflector sights employ some sort of reflector to allow the viewer to see the infinity ... glass plate, or by using a mostly clear curved glass reflector that images the reticle while the viewer looks through the reflector. Since the reticle is at infinity it stays in alignment with the device ... in 1900, reflector sights have come to be used as gun Sight device sight s on all kinds ... long illumination run time. Reflector sights are also used in civilian applications such as sights ... Reflector reflex sight diagram 3.png thumb 250px right Diagram of three types of reflector sights. The top ... R . The bottom two use half silvered curved mirrors CM as the collimating optics. Reflector ... ref ref American rifleman Volume 93, National Rifle Association of America THE REFLECTOR SIGHT By JOHN ... . The viewing portion of a reflector sight does not use any Refraction refractive optical elements ..., as opposed to simple mechanical sights such as iron sights . A reflector sight also do not have ... nature means they don t have the optical telescopes constraint of eye relief. Reflector sights ... of America THE REFLECTOR SIGHT By JOHN B. BUTLER, page 31 ref The primary drawback of reflector sight ... of America THE REFLECTOR SIGHT By JOHN B. BUTLER, page 29 ref History File Reflector reflex sight howard grubb 1901.png thumb 400px left 1901 diagram of a version of Howard Grubb s collimating reflector ... a concave collimating mirror. The idea of a reflector sight originated in 1900 with Irish people Irish ... INSTRUMENTS By Sir HOWARD GRUBB and HENRY DAVIS ref The reflector sight was first used on German fighter ... more details
Halogen MR16 lamps consist of a halogen capsule bulb integrated with a pressed glass reflector. The reflector of an MR16 lamp is 2 inches 51 mm in diameter. The base conforms to bi ... than the incandescent reflector bulbs that pre dated MR16s. The reflector controls the direction and spread ... reflector which has multiple small facets. This reflector gives a soft edge to the area illuminated ... off to the illuminated area. Dichroic reflectors Some lamps use aluminum coating as a reflector while ... more details
faults of refracting telescope s. He added to his reflector what is the hallmark of the design ... reflector had grown to nearly 50 inches aperture 126 cm ref name ssplprint cite ... name clens http www.craig telescope.co.uk lens.html ref Specifications Reflector mdash custom speculum ... lesson scopes newton index.php Newton s Reflector http web.media.mit.edu picard personal Newton.php Newton s TIMELINE DEFAULTSORT Newton s Reflector Category Telescopes Category Isaac Newton ... more details
In mathematics, the Siegel parabolic subgroup , named after Carl Ludwig Siegel , is the parabolic subgroup of the symplectic group with abelian radical, given by the matrices of the symplectic group whose lower left quadrant is 0 for the standard symplectic form . References Category Automorphic forms Category Algebraic groups ... more details
focal length while simultaneously reducing the volume of material required for the reflector. This greatly reduces the system s cost since sagged glass parabolicreflector s are typically very expensive ...Image Fresnel reflectors ausra.jpg thumb right Fig.1 Example of a Traditional linear Fresnel reflector with one absorber. A compact linear Fresnel reflector CLFR also referred to as a concentrating linear Fresnel reflector is a specific type of linear Fresnel reflector LFR technology. Linear Fresnel reflectors use long, thin segments of mirrors to focus sunlight onto a fixed absorber located at a common focal point of the reflectors. These mirrors are capable of concentrating the sun s energy to approximately 30 times its normal Intensity physics intensity . ref name Dey Cite journal last Dey first C.J. year 2004 title Heat transfer aspect of an elevated linear absorber journal Solar Energy volume 76 2004 pages 243 249 ref This concentrated energy is transferred through the absorber into some .... History The first linear Fresnel reflector was developed in Italy in 1961 by Giovanni Francia ... traditional parabolic trough mirror systems is the use of Fresnel reflectors . These reflectors make ... has significantly reduced the cost of parabolic mirrors. ref name energy Cite web author United States ... D.R. last2 Morrison year 2000 title Compact linear Fresnel reflector solar thermal power plants journal ... the reflector segments to transport radiation into some working thermal fluid. The basic design ... optical and thermal performance. ref name Dey File Compact Linear Fresnel Reflector Absorber.jpg thumb alt Compact linear Fresnel reflector absorber transfers solar energy into working thermal fluid ... linear Fresnel reflector plant in the United States. The solar collectors were produced at the Ausra factory in Las Vegas. AREVA Solar Ausra also built and operates a linear fresnel reflector plant in New South Wales, Australia. This reflector plant supplements the 2,000 MW coal fired Liddell ... more details
Image Parabolic cylindrical coordinates.png thumb right 350px Coordinate system Coordinate surface Coordinate surfaces of parabolic cylindrical coordinates. The red parabolic cylinder corresponds to 2, whereas the yellow parabolic cylinder corresponds to 1. The blue plane corresponds to z 2. These surfaces ... Cartesian coordinates roughly 2, 1.5, 2 . In mathematics , parabolic cylindrical coordinates are a three ... dimensional parabolic coordinates parabolic coordinate system in the perpendicular math z math ... parabolic cylinders. Parabolic cylindrical coordinates have found many applications, e.g., the potential theory of edges. Basic definition Image Parabolic coords.svg thumb right 250px Parabolic coordinate ... will hold for any value of the z coordinate. The parabolic cylindrical coordinates math sigma, tau ... form confocal parabolic cylinders math 2y frac x 2 sigma 2 sigma 2 math that open towards math y math , whereas the surfaces of constant math tau math form confocal parabolic cylinders math 2y frac x ... these parabolic cylinders are located along the line defined by math x y 0 math . The radius r has ... in solving the Hamilton Jacobi equation in parabolic coordinates for the inverse square law inverse ... article. Scale factors The scale factors for the parabolic cylindrical coordinates math sigma math and math ... coordinates . Parabolic cylinder harmonics Since all of the surfaces of constant &sigma , &tau and z are conicoid, Laplace s equation is separable in parabolic cylindrical coordinates ... n 2 T 0 math The solutions to these equations are the parabolic cylinder functions math S mn sigma ... sqrt 2m A 6 ,y 2 n 2 2m,i tau sqrt 2m math The parabolic cylinder harmonics for m,n are now the product ... The classic applications of parabolic cylindrical coordinates are in solving partial differential ... book author Moon P, Spencer DE year 1988 chapter Parabolic Cylinder Coordinates , , z title Field ... MathWorld description of parabolic cylindrical coordinates Orthogonal coordinate systems Category ... more details
In differential geometry and the study of Lie group s, a parabolic geometry is a homogeneous space G P which is the quotient of a semisimple Lie group G by a parabolic subgroup P . More generally, the curved analogs of a parabolic geometry in this sense is also called a parabolic geometry any geometry that is modeled on such a space by means of a Cartan connection . Examples The projective space P sup n sup is an example. It is the homogeneous space PGL n 1 H where H is the isotropy group of a line. In this geometrical space, the notion of a straight line is meaningful, but there is no preferred affine parameter along the lines. The curved analog of projective space is a manifold in which the notion of a geodesic makes sense, but for which there are no preferred parametrizations on those geodesics. A projective connection is the relevant Cartan connection that gives a means for describing a projective geometry by gluing copies of the projective space to the tangent spaces of the base manifold. Broadly speaking, projective geometry refers to the study of manifolds with this kind of connection. Another example is the conformal geometry conformal sphere . Topologically, it is the n sphere, but there is no notion of length defined on it, just of angle between curves. Equivalently, this geometry is described as an equivalence class of Riemannian metric s on the sphere called a conformal class . The group of transformations that preserve angles on the sphere is the Lorentz group O n 1,1 , and so S sup n sup O n 1,1 P . Conformal geometry is, more broadly, the study of manifolds with a conformal equivalence class of Riemannian metrics, i.e., manifolds modeled on the conformal sphere ... first2 Jan title Parabolic Geometries Background and general theory publisher AMS year 2009 url http books.google.com books about Parabolic Geometries Background and gene.html?id G4Ot397nWsQC isbn 978 0821826812 Slovak, J. http www.math.muni.cz slovak ftp papers drsc.ps Parabolic Geometries , Research ... more details
In probability and statistics , the parabolic fractal distribution is a type of discrete probability distribution in which the logarithm of the frequency or size of entities in a population is a quadratic polynomial of the logarithm of the rank. This can markedly improve the fit over a simple power law relationship see references below . In a number of applications, there is a so called King effect where the highest ranked item has a significantly greater frequency or size than the model predicts on the basis of the other items. Definition The probability mass function is given, as a function of the rank n , by math f n b,c propto n b exp c log n 2 , math where b and c are paramerers of the distribution. See also Zipf s law References Laherr re J, Deheuvels P 1996 http www.hubbertpeak.com laherrere fractal.htm Distributions de type fractal parabolique dans la nature French, with English summary Parabolic fractal distributions in nature , http www.hubbertpeak.com laherrere fractal.htm Comptes rendus de l Acad mie des sciences , S rie II a Sciences de la Terre et des Plan tes , 322, 7 , 535&ndash 541 cite doi 10.1016 S1674 5264 09 60017 X ProbDistributions discrete infinite DEFAULTSORT Parabolic Fractal Distribution Category Discrete distributions Probability stub fr Distribution fractale parabolique ... more details
Image Parabolic constant illustration v4.svg right The universal parabolic constant is a mathematical constant . It is defined as the ratio, for any parabola , of the arc length of the parabolic segment formed by the latus rectum to the focal parameter . It is denoted P sub 2 sub . ref MathWorld author Sylvester Reese and Jonathan Sondow title Universal Parabolic Constant urlname UniversalParabolicConstant , a Wolfram Web resource. ref ref cite web last Reese first Sylvester title Pohle Colloquium Video Lecture The universal parabolic constant url http gaia.adelphi.edu cgi bin makehtmlmov css.pl?rtsp gaia.adelphi.edu 554 General Lectures Pohle Colloquiums pohle200502.mov,pohle200502.mov,256,200 accessdate February 2, 2005 ref In the diagram, the latus rectum is pictured in blue, the parabolic segment that it forms in red and the focal parameter in green. The Focus geometry focus of the parabola is the point F and the Conic section Eccentricity.2C focus and directrix directrix is the line L . The value of P sub 2 sub is math ln 1 sqrt2 sqrt2 2.29558714939 dots ,. math The circle and parabola are unique among conic sections in that they have a universal constant. The analogous ratios for ellipse s and hyperbola s depend on their Eccentricity mathematics eccentricities . This means that all circles are Similarity geometry similar and all parabolas are similar, whereas ellipses and hyperbolas are not. Derivation Take math y frac x 2 4a math as the equation of the parabola. The focal parameter is math p 2a math and the semilatus rectum is math ell 2a math . math begin align P 2 & frac 1 p int ell ell sqrt 1 left frac dy dx right 2 , dx & frac 1 2a int 2a 2a sqrt 1 frac x 2 4a 2 , dx & int 1 1 sqrt 1 t 2 , dt quad x 2at & operatorname arcsinh 1 sqrt 2 & ln 1 sqrt 2 sqrt 2 . end align math Properties P sub 2 sub is a transcendental number . Proof . Suppose that P sub 2 sub is Algebraic number algebraic . Then math P 2 sqrt2 ln 1 sqrt2 math must also be algebraic. However ... more details
A parabolic partial differential equation is a type of second order partial differential equation PDE , describing a wide family of problems in science including heat diffusion , underwater acoustics ocean acoustic propagation , in physical or mathematical systems with a time variable, and which behave essentially like heat diffusing through a solid. A partial differential equation of the form math Au xx Bu xy Cu yy Du x Eu y F 0 , math is parabolic if it satisfies the condition math B 2 4AC 0. math This definition is analogous to the definition of a planar Parabola Analytic geometry equations parabola . A simple example of a parabolic PDE is the one dimensional heat equation , math u t k u xx , math where math u t,x math is the temperature at time math t math and at position math x math , and math k math is a constant. The symbol math u t math signifies the partial derivative with respect to the time variable math t math , and similarly math u xx math is the second partial derivative with respect to math x math . This equation says roughly that the temperature at a given time and point will rise or fall at a rate proportional to the difference between the temperature at that point and the average temperature near that point. The quantity math u xx math measures how far off the temperature is from satisfying the mean value property of harmonic functions . A generalization of the heat ... of dimension 1. Solution Under broad assumptions, parabolic PDEs as given above have solutions for all x,y and t 0. An equation of the form math u t L u math is considered to be parabolic if L is a possibly ... . With such a nonlinear parabolic differential equation, solutions exist for a short time but may ... parabolic equation One may occasionally wish to consider PDEs of the form math u t Lu, math ... id MathSciNet id 2597943 year 2010 volume 19 DEFAULTSORT Parabolic Partial Differential Equation Category Parabolic partial differential equations ca Equaci parab lica en derivades parcials de Parabolische ... more details
Successive parabolic interpolation is a technique for finding the extremum minimum or maximum of a continuous unimodal function by successively fitting parabola s polynomials of degree two to the function at three unique points, and at each iteration replacing the oldest point with the extremum of the fitted parabola. Advantages Only function values are used, and when this method converges to an extremum, it does so with a rate of convergence of approximately 1.324 . The superlinear rate of convergence is superior to that of other methods with only linear convergence such as line search . Moreover, not requiring the computation or approximation of function derivative s makes successive parabolic interpolation a popular alternative to other methods that do require them such as gradient descent and Newton s method in optimization Newton s method . Disadvantages On the other hand, convergence even to a local extremum is not guaranteed when using this method in isolation. For example, if the three points are line mathematics collinear , the resulting parabola is degeneracy mathematics degenerate and thus does not provide a new candidate point. Furthermore, if function derivatives are available, Newton s method is applicable and exhibits quadratic convergence. Improvements Alternating the parabolic iterations with a more robust method golden section search is a popular choice to choose candidates can greatly increase the probability of convergence without hampering the convergence rate. See also Inverse quadratic interpolation is a related method that uses parabolas to find root of a function root s rather than extrema. Simpson s rule uses parabolas to approximate definite integrals. External links http www.cse.uiuc.edu iem optimization SuccessiveParabolic An interactive demonstration References cite book author Michael Heath computer scientist Michael Heath title Scientific Computing An Introductory Survey publisher McGraw Hill location New York year 2002 pages edition 2nd ... more details
Infobox NRHP name Raymondville Parabolic Bridge nrhp type image caption location Grant Rd. over Raquette River, Raymondville, New York lat degrees 44 lat minutes 50 lat seconds 23 lat direction N long degrees 74 long minutes 58 long seconds 47 long direction W coord display inline,title coord parameters region US type landmark locmapin New York built 1886 architect Berlin Iron Bridge Co. architecture Lenticular Truss added September 7, 1984 area less than one acre governing body Local refnum 84002961 ref name nris NRISref 2009a ref Raymondville Parabolic Bridge is a historic Truss Lenticular Truss bridge located at Raymondville, New York Raymondville in St. Lawrence County, New York . It was constructed in 1886 and spans the Raquette River . It was constructed by the Berlin Iron Bridge Company of East Berlin, Connecticut . It was closed to vehicular traffic in 1979 and is used as a pedestrian bridge. ref name nrhpinv ny cite web url http www.oprhp.state.ny.us hpimaging hp view.asp?GroupView 8067 title National Register of Historic Places Registration Raymondville Parabolic Bridge date June 1984 accessdate 2010 01 01 author Raymond W. Smith publisher New York State Office of Parks, Recreation and Historic Preservation See also cite web url http www.oprhp.state.ny.us hpimaging hp view.asp?GroupView 8078 title Accompanying five photos ref It was listed on the National Register of Historic Places in 1984. References reflist National Register of Historic Places in New York NRHP bridges Category Bridges on the National Register of Historic Places in New York Category Bridges completed in 1886 Category Buildings and structures in St. Lawrence County, New York Category Transportation in St. Lawrence County, New York Category Road bridges in New York StLawrenceNY NRHP stub ... more details
In mathematics , the parabolic cylinder functions are special function s defined as solutions to the differential equation math frac d 2f dz 2 left tilde a z 2 tilde b z tilde c right f 0. math This equation is found, for example, when the technique of separation of variables is used on differential equations which are expressed in parabolic cylindrical coordinates . The above equation may be brought into two distinct forms A and B by completing the square and rescaling z , called H. F. Weber s equations harv Weber 1869 math frac d 2f dz 2 left tfrac14z 2 a right f 0 math A and math frac d 2f dz 2 left tfrac14z 2 a right f 0. math B If math f a,z , math is a solution, then so are math f a, z , f a,iz text and f a, iz . , math If math f a,z , math is a solution of equation A , then math f ia,ze 1 4 pi i , math is a solution of B , and, by symmetry, math f ia, ze 1 4 pi i , f ia, ze 1 4 pi i text and f ia,ze 1 4 pi i , math are also solutions of B . Solutions There are independent even and odd solutions of the form A . These are given by following the notation of Abramowitz and Stegun 1965 math y 1 a z exp z 2 4 1F 1 left tfrac12a tfrac14 tfrac12 frac z 2 2 right , , , , , , mathrm even math and math y 2 a z z exp z 2 4 1F 1 left tfrac12a tfrac34 tfrac32 frac z 2 2 right , , , , , , mathrm odd math where math 1F 1 a b z M a b z math is the confluent hypergeometric function . Other pairs of independent solutions may be formed from linear combinations of the above solutions see Abramowitz and Stegun . One such pair is based upon their behavior at infinity math U a,z frac 1 2 xi sqrt pi left cos xi pi Gamma 1 2 xi ,y 1 a,z sqrt ... called parabolic cylinder functions see Abramowitz and Stegun 1965 math U a,x D a tfrac12 x , math ..., E.T. 1902 On the functions associated with the parabolic cylinder in harmonic analysis Proc. London Math. Soc. 35, 417 427. DEFAULTSORT Parabolic Cylinder Function Category Special hypergeometric ... more details
A reflector , in cryptology , is a component of some rotor machine rotor cipher machines , such as the Enigma machine , that sends electrical impulses that have reached it from the machine s rotor machine rotors , back in reverse order through those rotors. Image Enigma action.svg thumb 250px The scrambling action of the Enigma rotors shown for two consecutive letters &mdash current is passed into set of rotors, around the reflector, and back out through the rotors again. Note The greyed out lines represent other possible circuits within each rotor, which are hard wired to contacts on each rotor. Letter tt A tt encrypts differently with consecutive key presses, first to tt G tt , and then to tt C tt . This is because the right hand rotor has stepped, sending the signal on a completely different route. Other names The reflector is also known as the reversing drum or, from the German, the Umkehrwalze or UKW . Category Rotor machines ... more details
Image Color coded racetrack large channel.gif thumb 348px Oscillators of varying periods that double as glider reflectors highlighted in pink. Click to view animation. In cellular automaton cellular automata such as Conway s Game of Life , a reflector is a pattern that can interact with a spaceship cellular automaton spaceship to change its direction of motion, without damage to the reflector pattern. In Life, many oscillator cellular automaton oscillators can reflect the Glider Conway s Life glider there also exist stable reflectors composed of still life cellular automaton still life patterns that, when they interact with a glider, reflect the glider and return to their stable state. External links http pentadecathlon.com lifeNews 2009 05 new stable 180degree glider re.html New stable 180 degree glider reflector , Game of Life News, May 30, 2009 Conway s Game of Life Category Cellular automaton patterns Comp sci stub ... more details
In algebra , a parabolic Lie algebra math mathfrak p math is a subalgebra of a semisimple Lie algebra math mathfrak g math satisfying one of the following two conditions math mathfrak p math contains a maximal solvable Lie algebra solvable subalgebra a Borel subalgebra of math mathfrak g math the Killing form Killing perp of math mathfrak p math in math mathfrak g math is the Nilradical of a Lie algebra nilradical of math mathfrak p math . These conditions are equivalent over an algebraically closed field mathematics field of characteristic zero , such as the complex numbers. If the field math mathbb F math is not algebraically closed, then the first condition is replaced by the assumption that math mathfrak p otimes mathbb F overline mathbb F math contains a Borel subalgebra of math mathfrak g otimes mathbb F overline mathbb F math where math overline mathbb F math is the algebraic closure of math mathbb F math . See also Generalized flag variety Bibliography citation first1 Robert J. last1 Baston first2 Michael G. last2 Eastwood authorlink2 Michael Eastwood title The Penrose Transform its Interaction with Representation Theory publisher Oxford University Press year 1989 . Fulton Harris citation doi 10.2307 2372388 first Alexander last Grothendieck authorlink Alexander Grothendieck year 1957 title Sur la classification des fibr s holomorphes sur la sph re de Riemann journal Amer. J. Math. volume 79 issue 1 pages 121 138 jstor 2372388 . citation first J. last Humphreys title Linear Algebraic Groups location New York publisher Springer year 1972 id ISBN 0 387 90108 6 Category Lie algebras algebra stub ... more details
Use dmy dates date March 2011 Infobox album Name Reflector Type Album Artist Killing Heidi Cover KillingHeidiReflector.jpg Released 12 March 2000 br 27 November 2000 Bonus Disc ref http www.sanity.com.au product product.asp?sku 759363.1 KILLING HEIDI REFLECTOR BONUS DISC Sanity.com.au More Movies More Music ref Recorded Genre Rock music Rock Length 42 22 Label Roadshow Entertainment Producer Paul Kosky Last album This album Reflector br 2000 Next album Present Killing Heidi album Present br 2002 Extra album cover Upper caption Alternate covers Background khaki Cover Reflector Limited Edition.jpg Lower caption Limited Edition Cover Album ratings rev1 Allmusic rev1score Rating 2 5 ref Allmusic class album id r524192 pure url yes Allmusic review ref Automatically generated by DASHBot Reflector ... of 2000. Upon its release in early 2000, Reflector became the fastest selling album in Australian music history. Reflector spawned four hit singles Weir which peaked at No. 6 on the national charts ... for Cold Live ref http cgi.ebay.com KILLING HEIDI REFLECTOR 2 CD EDITION BONUS LIVE DISC W0QQitemZ170243315750QQihZ007QQcategoryZ307QQssPageNameZWDVWQQrdZ1QQcmdZViewItem KILLING HEIDI REFLECTOR ... the album. Awards and nominations Awards 2000 ARIA Awards , Album Of The Year for Reflector 2000 ARIA Awards, Best Group for Reflector 2000 ARIA Awards, Breakthrough Artist Album for Reflector 2000 ARIA Awards, Best Rock Album for Reflector Nominations 2000 ARIA Awards, Album Of The Year for Reflector 2000 ARIA Awards, Best Group for Reflector 2000 ARIA Awards, Breakthrough Artist Album for Reflector 2000 ARIA Awards, Best Rock Album for Reflector 2000 ARIA Awards, Single Of The Year for Mascara 2000 ARIA Awards, Highest Selling Album for Reflector 2000 ARIA Awards, Best Cover Art by Paul Kosky for Reflector 2001 ARIA Awards, Best Group for Superman Supergirl 2001 ARIA Awards, Producer of the Year Paul Kosky for Superman Supergirl Chart positions Reflector debuted on the ARIA charts at number ... more details
Infobox bridge bridge name Hadley Parabolic Bridge native name native name lang image Hadley Bow Bridge.jpg image size 300px alt View of the bridge from the south, crossing a deep gorge, with curving trusses over and under caption Bridge from south, 2009 official name other name Hadley Bow Bridge carries Hadley Road County Route 1 Saratoga County, New York Saratoga County Route 1 crosses Sacandaga River locale Hadley, New York Hadley , New York NY , USA maint Saratoga County, New York Saratoga County id 000000002202740 ref name NBI search page cite web title NBI Structure Number 000000002202740 url http nationalbridges.com nbi record.php?StateCode 36&struct 000000002202740 publisher nationalbridges.com accessdate OCtober 11, 2009 ref designer design material iron, timber spans 2 pierswater mainspan convert 136 ft m ref name NRHP nom cite web last Smith first Raymond title National Register of Historic Places nomination, Hadley Parabolic Bridge url http www.oprhp.state.ny.us hpimaging hp view.asp?GroupView 8118 publisher New York State Office of Parks, Recreation and Historic Preservation date June 1976 accessdate October 11, 2009 ref length convert 181 ft m ref name NRHP nom width convert 14 ft m ref name NRHP nom height load 3 short tons 2.7 metric tons clearance below convert 45 ft m ref name NRHP nom traffic 100 builder East Berlin, Connecticut Berlin Iron Bridge Company begin 1885 complete open 1885 preceded followed heritage U.S. National Register of Historic Places NRHP 77000981 collapsed closed toll map cue map image map alt map text map width coordinates coord 43 18 50 N 73 50 41 W lat long extra The Hadley Parabolic Bridge , often referred to locally as the Hadley Bow Bridge , carries Corinth, New York Corinth Road County Route 1 Saratoga County, New York Saratoga County Route 1 across the Sacandaga River in Hadley, New York Hadley , New York, United ... s case the bridge is high enough that the parabolic trusses may well have been the least expensive ... more details
Encyclopedia
top
