Image Cylindrical lenses.jpg thumb Cylindrical lenses. Image CylindricalLenses 2.png thumb 300px Diagram showing cylindrical lenses. br A Plano Convex cylindricallens br B Plano Concave cylindricallens A cylindricallens is a lens optics lens which Focus optics focus es light which passes through on to a line instead of on to a point, as a Lens optics spherical lens would. The curved face or faces of a cylindricallens are sections of a Cylinder geometry cylinder , and focus the image passing through it onto a line parallel to the intersection of the surface of the lens and a plane tangent to it. The lens compresses the image in the direction perpendicular to this line, and leaves it unaltered in the direction parallel to it in the tangent plane . Cylindrical lenses can be used to correct astigmatism eye ocular astigmatism , although toric lens es are more commonly used. They can also potentially be used in solar water heating installations, such as a plastic pillow type solar water heater. They are used to correct the output from diode laser s, to produce a round beam from the diode s elliptical output. Sources Jacobs, Donald H. Fundamentals of Optical Engineering. McGraw Hill Book Co., 1943. Category Lenses optics stub de Zylinderlinse nl Cilindrische lens ... more details
noreferences date December 2009 Cylindrical perspective is a form of Distortion optics distortion caused by fisheye lens fisheye and panoramic lens es which reproduce straight horizontal lines above and below the lens axis level as curved while reproducing straight horizontal lines on lens axis level as straight. This is also a common feature of wide angle anamorphic lens es of less than 40mm focal length in cinematography . Essentially it is just barrel distortion but only in the horizontal plane. It is an artifact of the squeezing process that anamorphic lenses do to fit widescreen images onto standard width film. See also Distortion optics Stretch o Vision DEFAULTSORT Cylindrical Perspective Category Photographic techniques Photo stub ... more details
Cylindrical drums are a category of drum instruments that include a wide range of implementations, including the bass drum and the Iranian dohol . Cylindrical drums are generally two headed and straight sided, and sometimes use a buzzing, percussive string. The Iranian dohol is a famous form of cylindrical drum. Many music area s nears in the Middle East, North Africa and Central Asia include variations on the dohol and cylindrical drum forms, including the dhol of Armenia, daval of Kurdistan and the tabl ballady of Egypt. Southeastern Europe is home to cylindrical drums like the tapan of Macedonia and the dauli of Greece. References Cite web work Drum Dojo accessdate January 22, 2007 url http www.nasehpour.com peyman id91.html title Dohol and Cylindrical Drums year 2002 author Peyman Nasehpour cite web url http www.sil.org LinguaLinks Anthropology ExpnddEthnmsclgyCtgrCltrlMtrls mMembranophones.htm title 534m Membranophones work SIL accessdate January 4, 2007 Category Drums Category Membranophones percussion instrument stub es Tambor cil ndrico ... more details
File Cylindrical joint.svg 200px thumb right Cylindrical joint seen in 3 dimensional view. A cylindrical joint is a two Degrees of freedom mechanics degrees of freedom kinematic pair used in mechanisms. ref name norton cite book last Norton first Robert L. title Design of Machinery publisher McGraw Hill Higher Education location Boston, MA year 2008 edition 4th pages 33 chapter 2 isbn 9780073121581 language English American ref Cylindrical joints provide single axis sliding function as well as a single axis rotation, providing a way for two rigid bodies to translate and rotate freely. This can be pictured by an unsecured axle mounted on a chassis, as it may freely rotate and translate. ref name Shabana cite book last Shabana first Ahmed A. title Computational Dynamics publisher John Wiley and Sons year 2001 edition 2nd pages 434 isbn 9780471053262 ref See also Degrees of freedom mechanics Kinematic pair Kinematics References reflist KinematicPair Category Kinematics Category Rigid bodies classicalmechanics stub ... more details
The cylindrical grinder is a type of grinding machine used to shape the outside of an object. The cylindrical ... Company, 1959. 104 141. ref Cylindrical grinding is defined as having four essential actions The work ... to the other. While the majority of cylindrical grinders employ all four movements, there are grinders ... of the cylindrical grinder, as with all other modern machine tools, stem from the experimentation ... the first the horizontal boring machine and first engine lathe , respectively. The cylindrical ... . ref name lewis The basis for the modern day cylindrical grinder was first built in the 1830s by two ... from hardened tool steel. It was this desire that led to their experimentation with building a cylindrical ... attempts led to the cylindrical grinder displayed at the 1876 Centennial Exposition and the subsequent ... be given sole credit of pioneering advances in cylindrical grinding. A man in Waltham, Massachusetts ... to further pursue his belief that the cylindrical grinder is not merely a finishing tool ... improving the cylindrical grinder to use faster rpm values and more precise grinding tolerances ... innovation applicable to the cylindrical grinder is almost identical and entangled in a sense, to the rest ... the ability of the cylindrical grinder. Now the machine was able to receive instruction from ... types of cylindrical grinding outside diameter OD grinding, inside diameter ID grinding, plunge ... A basic overview of Outside Diameter Cylindrical Grinding. The Curved Arrows refer to direction of rotation ... thumb A basic overview of Internal Diameter Cylindrical Grinding. The Curved Arrows refer ... must be designed specifically for this purpose. This form occurs in both cylindrical and surface grinding . ref name stephenson Centerless grinding Image Centerless cylindrical grinder.jpg thumb Centerless cylindrical grinder File Centerless grinding schematic.svg thumb A schematic of the centerless ... 174. ref Control methods There are three basics ways in which an operator can interact with a cylindrical ... more details
Taxobox name Cylindrical lanternshark image Etmopterus carteri.JPG image caption status DD status system IUCN3.1 trend regnum Animal ia phylum Chordate Chordata classis Chondrichthyes subclassis Elasmobranchii ordo Squaliformes familia Etmopteridae genus Etmopterus species E. carteri range map Etmopterus carteri distmap.png range map width 200px range map caption Range of the cylindrical lanternshark in blue binomial Etmopterus carteri binomial authority Stewart Springer S. Springer & George H. Burgess G. H. Burgess , 1985 Portal Sharks The cylindrical lanternshark , Etmopterus carteri , is a shark of the family biology family Etmopteridae found along the Caribbean coast of Colombia in South America , at depths of between 285 and 355 m. Its maximum length is 21 cm. Reproduction is presumed to be ovoviviparous with young ones of 10 20 cm in length, with 3 20 pups per litter ref cite web url http www.science.fau.edu sharklab courses elasmobiology families Etmopteridae.pdf title The Lantern Sharks author Florida Atlantic University date 2007 ref . References Reflist FishBase species genus Etmopterus species carteri month July year 2006 Leonard Compagno Compagno , Dando, & Fowler, Sharks of the World , Princeton University Press, New Jersey 2005 ISBN 0 691 12072 2 Selachimorpha D. DEFAULTSORT Cylindrical Lanternshark Category Dalatiidae ca Etmopterus carteri de Zylindrischer Laternenhai es Etmopterus carteri ... more details
Taxobox name Cylindrical lioplax image Lioplax cyclostomaformis shell.jpg image caption A 1870 drawing of the shell of Lioplax cyclostomaformis status VU status system IUCN2.3 status ref ref Bogan, A.E. 1996. http www.iucnredlist.org search details.php 12101 all Lioplax cyclostomaformis . http www.iucnredlist.org 2006 IUCN Red List of Threatened Species. Downloaded on 7 August 2007. ref regnum Animalia phylum Mollusca classis Gastropoda unranked superfamilia clade Caenogastropoda br informal group Architaenioglossa superfamilia Viviparoidea familia Viviparidae subfamilia Lioplacinae genus Lioplax species L. cyclostomaformis binomial Lioplax cyclostomaformis binomial authority Isaac Lea I. Lea , 1841 synonyms The cylindrical lioplax , scientific name Lioplax cyclostomaformis , is a species of freshwater snail with gill s and an operculum gastropod operculum , an Aquatic animal aquatic gastropod mollusk in the family biology family Viviparidae . This species is Endemism endemic to the United States . Description The gastropod shell shell is elongate, reaching about 28 millimeters mm 1.1 inches in in length. Shell color is light to dark olivaceous green externally, and bluish inside of the aperture mollusc aperture shell opening . The cylindrical lioplax is distinguished from other viviparid eggs hatch internally and the young are born as juveniles snails in the Mobile River Basin by the number of whorl mollusc whorls , and differences in size, sculpture, microsculpture, and spire mollusc spire angle. Distribution This species is Endemism endemic to the United States . No other ... records for the cylindrical lioplax exist from the Alabama River Dallas County, Alabama , Black ... pp. ref Vidrine, 1996 have found no evidence of the species or its typical habitat. The cylindrical ... Cylindrical lioplax snail Lioplax cyclostomaformis . Accessed 27 November 2008. ref Ecology Little is known of the biology or life history of the cylindrical lioplax. Habitat Habitat for the cylindrical ... more details
In mathematics , the cylindrical harmonics are a set of linear dependence linearly independent solutions to Laplace s equation Laplace s differential equation , math nabla 2 V 0 math , expressed in cylindrical coordinate system cylindrical coordinates , radial coordinate , polar angle , and z height . Each function V sub n sub k is the product of three terms, each depending on one coordinate alone. The term cylindrical harmonics is also used to refer to the Bessel function s that are cylindrical harmonics in the sense described above . Definition Each function math V n k math of this basis consists of the product of three functions math V n k rho, varphi,z P n k, rho Phi n varphi Z k,z , math where math rho, varphi,z math are the cylindrical coordinates, and n and k are constants which distinguish the members of the set from each other. As a result of the superposition principle applied to Laplace s equation, very general solutions to Laplace s equation can be obtained by linear combinations of these functions. Since all of the surfaces of constant , and z are conicoid, Laplace s equation is separable in cylindrical coordinates. Using the technique of the separation of variables , a separated solution to Laplace s equation may be written math V P rho , Phi varphi ,Z z math and Laplace s equation, divided by V , is written math frac ddot P P frac 1 rho , frac dot P P frac 1 rho 2 , frac ddot Phi Phi frac ddot Z Z 0 math The Z part of the equation is a function of z alone, and must therefore be equal to a constant math frac ddot Z Z k 2 math where k is, in general ... n k rho , math where math I n z math and math K n z math are modified Bessel function s. The cylindrical ... to the cylindrical coordinates and the limits of the summation and integration are determined by the boundary ... Point source inside a conducting cylindrical tube As an example, consider the problem of determining the potential of a unit source located at math rho 0, varphi 0,z 0 math inside a conducting cylindrical ... more details
wiktionarypar lensLens or Lense may refer to TOC right Optics Lens optics , an optical element which converges or diverges light Lens anatomy , a part of the eye Corrective lens for correction of human vision Contact lens , placed on the cornea of the eye Photographic lens , a lens designed for use on a camera Focusing of other radiation and forces Gravitational lens , a massive astronomical object which causes visual distortions Electrostatic lens , a device used to focus or collimate electron beams Explosive lens , a shaped explosive charge with focused blast Microwave lens , used to focus microwave radiation in slotted waveguide antennas Lentil shaped things Lens genus , the genus of the lentil plant Lens geometry , a geometric shape formed from two arcs Lens geology , a body of ore or rock that is thick in the middle and thin at the edges Lens hydrology , a layer of fresh water derived from rainfall, overlying saline groundwater Kamera lens biology , a unicellular, flagellate organism and the only species of the genus Kamera. Places Arrondissement of Lens , in the d partement of Pas de Calais, France Lens, Pas de Calais , a commune in that arrondissement RC Lens , its football soccer club Lens, Belgium Lens, Valais , Switzerland People Louis Lens , Flemish rose breeder Nicholas Lens , Belgian composer Josef Lense , physicist Jeremain Lens , Dutch Surinam footballer Other uses Laser engineered net shaping , a rapid prototyping technology capable of building fully dense metal parts Perspective cognitive Lens, a fictional alien device in E. E. Smith s Lensman series disambig surname an Lens de Lens es Lens eo Lens fr Lens it Lens nl Lens pms Lens pt Lens sco Lens simple Lens disambiguation sk Lens sv Lens tr Lens vo Lens ... more details
Infobox single See Wikipedia WikiProject Songs Name Into the Lens Cover Into the Lens.jpg Artist Yes band Yes Album Drama Yes album Drama B side Does It Really Happen? Released 1980 Format 7 Recorded Genre Progressive rock Length 3 47 Label Atlantic Records Atlantic Writer Geoff Downes , Trevor Horn , Steve Howe guitarist Steve Howe , Chris Squire , Alan White Yes drummer Alan White Producer Yes and Eddie Offord Chronology Last single Don t Kill The Whale br 1978 This single Into the Lens br 1980 Next single Owner of a Lonely Heart br 1983 Infobox single Name I Am a Camera Type Single Artist The Buggles from Album Adventures in Modern Recording Cover I Am A Camera Single Cover.jpg B side Fade Away Released October 1981 Format 7 , 12 Genre Synthpop Length 4 32 Label Carrere Records Carrere Writer Geoff Downes , Trevor Horn Producer Trevor Horn Last single Elstree song Elstree br 1980 This single I Am a Camera br 1981 Next single Adventures in Modern Recording song Adventures in Modern Recording br 1982 Into the Lens is a song originally written by Trevor Horn and Geoff Downes of The Buggles . It was first released as Into the Lens on the Yes band Yes album Drama Yes album Drama in 1980, and the year after on Adventures in Modern Recording , the second and last album of The Buggles. Both versions were also released as singles Into the Lens I Am a Camera by Yes in 1980 and I Am a Camera in October 1981 by The Buggles on Carrere Records . ref name AIMR Overview The first version of the song ... Howe guitarist Steve Howe , Chris Squire and Alan White Yes drummer Alan White , and therefore, Into the Lens ... I Am a Camera was a Buggles track and we had adapted it into a Yes track. It became Into the Lens and, naturally, slightly more overblown. I don t mind Into the Lens the melody s unadulterated while ... different lyrics, notably I will never let you go, and you always let the feelings show Into the Lens ... edit of Yes own Into the Lens was entitled Into the Lens I Am a Camera . The line I am a camera is a quote ... more details
Summary Geometry of cylindrical multipoles, made with Xfig. Licensing GFDL self with disclaimers migration relicense Copy to Wikimedia Commons bot Fbot priority true ... more details
Given a set of polynomials in R sup n sup and a set S in R sup n sup the Cylindrical algebraic decomposition algorithm finds a decomposition of S in to a number of cells such that for each cell each polynomial has constant sign. See also Quantifier elimination Tarski s theorem References Strzebonski, Adam. http mathworld.wolfram.com CylindricalAlgebraicDecomposition.html Cylindrical Algebraic Decomposition from MathWorld . http planning.cs.uiuc.edu node292.html Cylindrical Algebraic Decomposition in Planning algorithms by Steven M. LaValle. Accessed 13 July 2007 Category Algebra Category Real algebraic geometry Algebra stub ... more details
refimprove date August 2010 A bored cylindrical Lock device lock is one in which two holes are bored, perpendicular to one another, into the door . A large hole is bored into the door face and a smaller crossbore hole is bored into the door edge, as opposed to a mortise lock prep cut into the edge of the door. Typically, the face hole is sized from 1.5 inches to 2.125 inches 3.8 to 5.4 cm and is centered at 2.375 inches or 2.75 inches 6.0 cm or 7.0 cm from the leading edge of the door, this distance is referred to as the backset. Other, less popular, backsets are at 3.75 and 5 inches 9.5 and 12.7 cm . Residential doors are normally prepared for a 2.375 inch 6.0 cm backset and commercial doors at a 2.75 inch 7 cm backset. History The cylindrical lock was invented by Walter Schlage ref Name Derdak cite book title International Directory of Company Histories, Volume 82 last Derdak & Grant first authorlink coauthors Thomas Derdak, Tina Grant year 2006 publisher St. James Press location University of California isbn 1558625860 page 330 pages url http books.google.com books?id V K6AAAAIAAJ&q 22Bored cylindrical lock 22&dq 22Bored cylindrical lock 22 ref in 1909 citation needed date August 2010 . The bored cylindrical lock arose from a need for a more cost effective method of locking doors. The previous norm, the mortise lock , is a more complex device, and its higher manufacturing cost as well as its more labor intensive installation make the bored cylindrical lock an ideal substitute, both in price and functionality. Currently The great majority of locks now in use on residences in North America are a variation of the cylindrical lock and are known as tubular chassis locks . Generally, they are not as strong as a cylindrical lock. Images Image Mis fotos de celular 019.jpg 300px Image Electronic lock yl88.jpg 300px References reflist Category Locks tech stub ... more details
File Cylindrical equal area projection SW.jpg 450px thumb Cylindrical equal area projection of the world ... thumb The Lambert cylindrical equal area projection with Tissot s indicatrix of deformation File Cylindrical Equal Area Projection Oblique Case Map of the World.png 450px thumb Cylindrical equal area projection with oblique orientation In cartography , the cylindrical equal area projection is a family of Map projections Cylindricalcylindrical , Map projection Equal area equal area map projection s. Cylindrical projections Main Map projection Cylindrical l1 Cylindrical map projection The term normal cylindrical projection is used to refer to any projection in which Meridian geography meridians ..., and subsequently unfolding the cylinder. By the geometry of their construction, cylindrical ... cylindrical projections, and is given by the Trigonometric function secant of the latitude as a multiple of the equator s scale. The various cylindrical projections are distinguished from each other solely by their north south stretching where latitude is given by The only cylindrical projections ... cosine equal area cylindrical with many named specializations such as Gall Peters projection Gall Peters or Gall orthographic, Behrmann projection Behrmann , and Lambert cylindrical equal area projection Lambert cylindrical equal area . This divides north south distances by a factor equal to the secant of the latitude, preserving area but heavily distorting shapes. Any particular cylindrical ... the east west scale matches the north south scale. Description Formulae All cylindrical equal area ... Mercator s projection. ref ref Weisstein, Eric W. Cylindrical Equal Area Projection. From MathWorld ... phi 0 , math math pi cos phi 0 2 , math Base projection for all the others. Lambert cylindrical equal ... math approx 1.3 math History The invention of the Lambert cylindrical equal area projection is attributed ... cite web last Mulcahy first Karen authorlink coauthors title Cylindrical Projections work publisher ... more details
Image Coord system CY 1.svg thumb 240px A cylindrical coordinate system with origin O , polar axis A , and longitudinal ... 130 , and height z 4. A cylindrical coordinate system is a three dimensional ... plane and the axis. The axis is variously called the cylindrical or longitudinal axis, to differentiate ... . Physics of Plasmas, volume 9, issue 6, 2786 2797. DOI 10.1063 1.1465420 nowiki ... nowiki in cylindrical .... DOI 10.1103 PhysRevLett.78.1460 nowiki ... nowiki where r , , and z are cylindrical coordinates nowiki ... nowiki as a function of axial position nowiki ... nowiki ref Cylindrical coordinates are useful ... cylinder geometry cylinder , and so on. It is sometimes called cylindrical polar coordinate ref ... 22&pg PA170 v onepage&q 22Cylindrical 20polar 20coordinate 22&f false page 170 ref and polar cylindrical ... cylindrical polar coordinate . ref Linda Siobhan Sparke, John Sill Gallagher, Galaxies in the universe ..., 431 pages http books.google.co.uk books?id N8Hngab5liQC&lpg PA37&dq cylindrical 20polar 20coordinate 20galaxy&pg PA37 v onepage&q cylindrical 20polar 20coordinate 20galaxy&f false page 37 ... on the plane. The height z is the signed distance from the chosen plane to the point P. Unique cylindrical coordinates As in polar coordinates, the same point with cylindrical coordinates , , z has ... spanning 360 , such as &minus 180 , 180 or 0,360 . Conventions The notation for cylindrical coordinates ... is also often denoted r , the azimuth by or t , and the third coordinate by h or if the cylindrical axis is considered horizontal x , or any context specific letter. File Cylindrical coordinate surfaces.png thumb 240px right The Coordinate system Coordinate surface coordinate surfaces of the cylindrical ... Cartesian coordinates of P are roughly 1.0, 1.732, 1.0 . File Cylindrical coordinate surfaces.gif right thumb 480px Cylindrical Coordinate Surfaces. The three orthogonal components, green , red .... Coordinate system conversions The cylindrical coordinate system is one of many three dimensional coordinate ... more details
This article was auto generated by User Polbot . Taxobox name Many Scaled Cylindrical Skink status LC status system IUCN3.1 regnum Animalia phylum Chordata classis Reptilia ordo Squamata familia Scincidae genus Chalcides species C. polylepis binomial Chalcides polylepis binomial authority Boulenger, 1890 synonyms The Many Scaled Cylindrical Skink Chalcides polylepis is a species of skink in the Scincidae family. It is found in Morocco and Western Sahara . Its natural habitat s are temperate forest s, temperate shrubland , Mediterranean type shrubby vegetation, rocky areas, sandy shores, and pastureland. It is threatened by habitat loss . References Geniez, P., Miras, J.A.M., Joger, U., Pleguezuelos, J., Slimani, T. & El Mouden, H. 2005. http www.iucnredlist.org search details.php 61485 all Chalcides polylepis . http www.iucnredlist.org 2006 IUCN Red List of Threatened Species. Downloaded on 10 July 2007. skink stub es Chalcides polylepis pt Chalcides polylepis ... more details
In mathematics &mdash specifically, in measure theory and functional analysis &mdash the cylindrical algebra is a algebra often used in the study of probability measure s and random variable s on Banach space s. For a Banach space X , the cylindrical algebra Cyl X is defined to be the coarsest algebra i.e. the one with the fewest measurable sets such that every continuous linear function on X is a measurable function . In general, Cyl X is not the same as the Borel algebra on X , which is the coarsest algebra that contains all open subsets of X . References cite book last1 Ledoux first1 Michel last2 Talagrand first2 Michel author2 link Michel Talagrand title Probability in Banach spaces publisher Springer Verlag location Berlin year 1991 pages xii 480 isbn 3 540 52013 9 mr 1102015 See chapter 2 Category Functional analysis Category Measure theory pl cia o zbior w cylindrycznych ... more details
Summary Summary Information Description Simple image description of a cylindrical joint . Source I created this work entirely by myself. Date 04 FEB 2009 Author User Jamesontai font color 000066 Jameson L. Tai font sup font color 660000 User talk Jamesontai talk User Jamesontai Autograph Book guestbook Special Contributions Jamesontai contribs font sup other versions Created on Inkscape. Licensing self cc by sa 3.0 Copy to Wikimedia Commons bot Fbot priority true ... more details
Unreferenced date December 2009 Cylindrical multipole moments are the coefficients in a series expansion of a potential that varies logarithmically with the distance to a source, i.e., as math ln R math . Such potentials arise in the electric potential of long line charges, and the analogous sources for the magnetic potential and gravitational potential . For clarity, we illustrate the expansion for a single line charge, then generalize to an arbitrary distribution of line charges. Through this article ... the potential is being observed. We use cylindrical coordinates throughout, e.g., an arbitrary ... z math axis. Cylindrical multipole moments of a line charge Image cylindrical multipole.png frame right Figure 1 Definitions for cylindrical multipoles looking down the math z prime math axis The electric ... frac lambda k frac sin k theta prime left rho prime right k . math General cylindrical multipole moments ... rho theta math plane. Interior cylindrical multipole moments Similarly, the interior cylindrical ... lambda rho prime , theta prime math Interaction energies of cylindrical multipoles A simple formula for the interaction energy of cylindrical multipoles charge density 1 with a second charge density ... energy is given by the integral of the charge multiplied by the potential due to the cylindrical multipoles math U int d theta int rho d rho lambda rho, theta Phi rho, theta math If the cylindrical ... math Q 1 math , math C 1k math and math S 1k math are the cylindrical multipole moments of charge ... C 1k I 2k S 1k J 2k right math where math I 2k math and math J 2k math are the interior cylindrical ... of interior cylindrical multipoles math U frac Q 1 ln rho prime 2 pi epsilon int rho d rho lambda ... math I 1k math and math J 1k math are the interior cylindrical multipole moments of charge distribution 1, and math C 2k math and math S 2k math are the exterior cylindrical multipoles of the second ... moments DEFAULTSORT Cylindrical Multipole Moments Category Electromagnetism Category Potential ... more details
File Miller projection SW.jpg thumb 450px A Miller projection of the Earth . image World map Miller cylindrical projection, blank .svg thumb 450px The Miller cylindrical projection is a modified Mercator projection , proposed by Osborn Maitland Miller 1897&ndash 1979 in 1942. The latitude is scaled by a factor of 4 5, projected according to Mercator, and then the result is multiplied by 5 4 to retain scale along the equator. ref Flattening the Earth Two Thousand Years of Map Projections , John P. Snyder, 1993, pp. 179, 183, ISBN 0 226 76747 7. ref Hence math x lambda , math math y frac 5 4 ln left tan left frac 1 4 pi frac 2 5 varphi right right math where &lambda is the longitude from the central meridian of the projection, and math varphi , math is the latitude. Meridians are thus about 0.733 the length of the equator. In GIS applications, this projection is known as EPSG 54003 World Miller Cylindrical References references External links http www.radicalcartography.net ?projectionref Table of examples and properties of all common projections , from radicalcartography.net http www.uff.br mapprojections Miller1 en.html An interactive Java Applet to study the metric deformations of the Miller Projection . http mathworld.wolfram.com MillerCylindricalProjection.html Math formulae information http spatialreference.org ref esri 54003 Spatial information http www.progonos.com furuti MapProj Dither ProjCyl projCyl.html Historical information cartography stub Category Cartographic projections ja pt Proje o de Miller ... more details
Image Bipolar cylindrical coordinates.png thumb 350px right Coordinate system Coordinate surface Coordinate surfaces of the bipolar cylindrical coordinates. The yellow crescent corresponds to , whereas the red tube corresponds to and the blue plane corresponds to z 1. The three surfaces intersect at the point P shown as a black sphere . Bipolar cylindrical coordinates are a three dimensional orthogonal coordinates orthogonal coordinate system that results from projecting the two dimensional bipolar coordinates bipolar coordinate system in the perpendicular math z math direction. The two lines of Focus geometry foci math F 1 math and math F 2 math of the projected Apollonian circles are generally taken to be defined by math x a math and math x a math , respectively, and by math y 0 math in the Cartesian coordinate system . The term bipolar is often used to describe other curves having two singular points foci , such as ellipse s, hyperbola s, and Cassini oval s. However, the term bipolar coordinates is never used to describe coordinates associated with those curves, e.g., elliptic coordinates . Basic definition The most common definition of bipolar cylindrical coordinates math sigma, tau, z math is math x a frac sinh tau cosh tau cos sigma math math y a frac sin sigma cosh tau cos sigma math math z z math where the math sigma math coordinate of a point math P math equals the angle math F 1 P F 2 math and the math tau math coordinate equals the natural logarithm of the ratio of the distances math d 1 math and math d 2 math to the focal lines math tau ln frac d 1 d 2 math Recall that the focal lines math F 1 math and math F 2 math are located at math x a math and math x a math , respectively. Surfaces of constant math sigma math correspond to cylinders of different radii ... of variables . A typical example would be the electric field surrounding two parallel cylindrical ... description of bipolar cylindrical coordinates Orthogonal coordinate systems Category Coordinate ... 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 intersect at the point P shown as a black sphere , which has Cartesian coordinate system Cartesian coordinates roughly 2, 1.5, 2 . In mathematics , parabolic cylindrical coordinates are a three dimensional orthogonal coordinates orthogonal coordinate system that results from projecting the two dimensional parabolic coordinates parabolic coordinate system in the perpendicular math z math direction. Hence, the Coordinate system Coordinate surface coordinate surfaces are confocal parabola 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 system showing curves of constant &sigma and &tau the horizontal and vertical axes are the x and y coordinates respectively. These coordinates are projected along the z axis, and so this diagram will hold for any value of the z coordinate. The parabolic cylindrical coordinates math sigma, tau, z math are defined in terms of the Cartesian coordinates x,y,z by math x sigma tau , math math y frac 1 2 left tau 2 sigma 2 right math math z z , math The surfaces of constant math sigma math form confocal parabolic cylinders math 2y frac x 2 sigma 2 sigma 2 math that open towards math y math ... article. Scale factors The scale factors for the parabolic cylindrical coordinates math sigma math and math ... and z are conicoid, Laplace s equation is separable in parabolic cylindrical coordinates ... The classic applications of parabolic cylindrical coordinates are in solving partial differential ... MathWorld description of parabolic cylindrical coordinates Orthogonal coordinate ... more details
Image Elliptic cylindrical coordinates.png thumb right 350px Coordinate system Coordinate surface Coordinate surfaces of elliptic cylindrical coordinates. The yellow sheet is the prism of a half hyperbola corresponding to 45 , whereas the red tube is an elliptical prism corresponding to 1. The blue sheet corresponds to z 1. The three surfaces intersect at the point P shown as a black sphere with Cartesian coordinate system Cartesian coordinates roughly 2.182, 1.661, 1.0 . The foci of the ellipse and hyperbola lie at x 2.0. Elliptic cylindrical coordinates are a three dimensional orthogonal coordinates orthogonal coordinate system that results from projecting the two dimensional elliptic coordinates elliptic coordinate system in the perpendicular math z math direction. Hence, the Coordinate system Coordinate surface coordinate surfaces are prism geometry prisms of confocal ellipse s and hyperbola e. The two Focus geometry foci math F 1 math and math F 2 math are generally taken to be fixed at math a math and math a math , respectively, on the math x math axis of the Cartesian coordinate system . Basic definition The most common definition of elliptic cylindrical coordinates math mu, nu, z math is math x a cosh mu cos nu math math y a sinh mu sin nu math math z z math where math mu math is a nonnegative real number and math nu in 0, 2 pi math . These definitions correspond to ellipses and hyperbolae. The trigonometric identity math frac x 2 a 2 cosh 2 mu frac y 2 a 2 sinh 2 ... for the elliptic cylindrical coordinates math mu math and math nu math are equal math h mu h nu a sqrt ... The classic applications of elliptic cylindrical coordinates are in solving partial differential equations , e.g., Laplace s equation or the Helmholtz equation , for which elliptic cylindrical ... expressed in elliptic cylindrical coordinates, may be solved by separation of variables, leading to the Mathieu ... cylindrical coordinates Orthogonal coordinate systems Category Coordinate systems zh ... more details
Orphan date February 2009 Merge to Swashplate engine date September 2010 Merge to Revolving cylinder engine date September 2010 The Cylindrical Energy Module is a sine waved Swashplate engine that can also be used as a stand alone pump powered by an alternate source. The rotating swash plate rotor assembly is moved back and forth via piston drive pins which follow a stationary Sinusoidal Cam Track that encircles the rotor assembly. For more information on how that works please check out the Swashplate engine page. The new pump design has been used in fire extinguishers, as well as mobile biological and chemical control units for the http www.epindustries.com decon.html US military . Inventor s claims of pump design Only 7 moving parts Virtually clog free operation Its weight is about one sixth that of an equal capacity unit Its output is 24 times that of most pumps or compressors of equal bore and stroke, and twice that of most engines. Can be made out of thermoplastic s for light weight uses pumps only . This version of the pump compressor was invented by Eddie Paul, president of http www.epindustries.com EP Industries in El Segundo, CA. patented in 1993 Expand section date April 2007 Category Internal combustion piston engines Category Pumps Category Engine technology Category Piston engines ... more details
hat z end matrix math Cylindrical frac partial B partial td math begin matrix left A rho frac ... coordinates Vector fields in cylindrical and spherical coordinates External links http www.csulb.edu woollett Maxima Computer Algebra system scripts to generate some of these operators in cylindrical ... more details
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