other uses File Cycloid f.gif right frame A cycloid generated by a rolling circle A cycloid is the curve ... of a roulette curve roulette , a curve generated by a curve rolling on another curve. The cycloid ... the cycloid, my soapstone for example, will descend from any point in precisely the same time. source Moby Dick by Herman Melville , 1851 The cycloid was first studied by Nicholas of Cusa and later ... showed that the area under one arch of a cycloid is three times the area of its generating circle. In 1658 Christopher Wren showed that the length of one arch of a cycloid is four times the diameter of its generating circle. The cycloid has been called The Helen of Geometers as it caused frequent ... 2 year 1999 page 177 ref Equations File Cycloid04.png thumb 400px A cycloid generated by a circle of radius r 2 The cycloid through the origin, generated by a circle of radius r , consists of the points ... arch of the cycloid consists of points such that math 0 le t le 2 pi. , math When y is viewed as a function of x , the cycloid is differentiable everywhere except at the Cusp singularity cusps where ... C sup sup and the singularity where the derivative is 0 is an ordinary cusp. The cycloid satisfies the ordinary ... Area One arch of a cycloid generated by a circle of radius r can be parameterized by math x r t sin ... of a cycloidal pendulum. If a simple pendulum is suspended from the cusp of an inverted cycloid, such that the string is constrained between the adjacent arcs of the cycloid, and the pendulum s length is equal to that of half the arc length of the cycloid i.e. twice the diameter of the generating circle , the bob of the pendulum also traces a cycloid path. Such a cycloidal pendulum is Tautochrone ... Clocks Christiaan Huygens discovered and proved these properties of the cycloid in the search to the design ... curves are related to the cycloid. Curtate cycloid Here the point tracing out the curve is inside the circle, which rolls on a line. Prolate cycloid Here the point tracing out the curve is outside the circle ... more details
A cycloid is a curve traced by a rolling circle. Cycloid can also refer to Cyclida formerly Cycloidea , an order of prehistoric crustaceans Cycloid scale , a type of scale seen on some fishes List of Street Fighter characters Cycloid and CycloidCycloid and Cycloid , characters in the Street Fighter games disambig ... more details
Deleted image removed Image cycloid3cogs.gif thumb Engaged cycloid gears with 3 cogs. The red parts of the curve on the left gear correspond to epicycloid fragments and the blue parts to hypocycloid fragments. Unreferenced date April 2009 The cycloidal gear profile is a form of toothed gear used in mechanical clock s. The gear tooth profile is based on the epicycloid and hypocycloid curves, which are the curves generated by a circle rolling around the outside and inside of another circle, respectively. When two toothed gears mesh, an imaginary circle, the pitch circle , can be drawn around the centre of either gear through the point at which their teeth make contact. The curves of the teeth outside the pitch circle are known as the addenda , and the curves of the tooth spaces inside the pitch circle are known as the dedenda . An addendum of one gear rests inside a dedendum of the other gear. In cycloidal gears, the addenda of the wheel teeth are convex epi cycloidal and the dedenda of the pinion are concave hypocycloidal curves generated by the same generating circle. This ensures that the motion of one gear is transferred to the other at locally constant angular velocity . Usually the pinion radius is made equal to the generating circle diameter since this gives radial dedenda which are convenient to manufacture on a hobbing machine . Citation needed date February 2007 There is some dispute over the invention of cycloidal gears those involved include G rard Desargues , Philippe de La Hire , Ole R mer , and Charles tienne Louis Camus . External links http www.csparks.com watchmaking CycloidalGears index.jhtml Designing cycloidal gears http kmoddl.library.cornell.edu index.php Kinematic Models for Design Digital Library KMODDL br Movies and photos of hundreds of working mechanical systems models at Cornell University. Also includes an http kmoddl.library.cornell.edu e books.php e book library of classic texts on mechanical design and engineering. http switzernet.com ... more details
Wiktionary Isochrone may refer to Isochrone curve , the curve a cycloid for which objects starting at different points finish at the same time and point when released Isochrone map , shows areas related to isochrones between different points Disambiguation ... more details
unreferenced date July 2009 File NES Max Controller.jpg right thumb 250px The NES Max controller The NES Max is a gamepad that was released by Nintendo for the Nintendo Entertainment System in 1988. Like many later controllers such as those for the PlayStation and Nintendo 64 N64 , it has wings handles that extend from the edges of the pad. Design The controller is smaller in width than a standard NES controller and is slightly thinner. Unlike the standard controller, the Max has a small button shaped item called a cycloid, which can be moved in directions to control on screen movement, somewhat like the newer Nintendo 3DS Nintendo 3DS s Circle Pad. The cycloid can be moved by the player s thumb to function similar to a joystick , though it lacks analog response. For more traditional control, the cycloid area is surrounded by an 8 way control pad ring. The Max also features turbo button turbo A and B buttons in addition to the standard action buttons. Although there is no adjustment for the turbo rate as there is on the more famous NES Advantage , the NES Max was known to exceed the NES Advantage s maximum turbo setting. The Max s official Nintendo part number is NES 027. External links http www.axess.com twilight console detail nes max.html General information on the Max Nintendo hardware NES Category Nintendo Entertainment System accessories Category Nintendo hardware Category Game controllers videogame hardware stub nintendo stub sv NES Max ... more details
problems An introduction by Tom Apostol ref In it he shows that the problems of finding the area of a cycloid ... site. Area of a cycloid File Mamikon Cycloid.svg thumb right 300px Finding the area of a cycloid using Mamikon s theorem. The area of a cycloid can be calculated by considering the area between it and an enclosing ... the cycloid has radius r then this circle also has radius r and area r sup 2 sup . The area of the rectangle is 2 r .2 r 4 r sup 2 sup . Therefore the area of the cycloid is 3 ... because the cyclod is generated by a circle and the tangent to the cycloid will be at right ... to finding the area under a cycloid, see Cavalieri s principle Cycloids . See also Cavalieri s principle ... more details
This is a list of variational topics in from mathematics and physics . See calculus of variations for a general introduction. Action physics Brachistochrone curve Calculus of variations Catenoid Cycloid Dirichlet principle Euler Lagrange equation cf. Action physics Fermat s principle Functional mathematics Functional derivative Functional integral Geodesic Isoperimetry Lagrangian Lagrangian mechanics Legendre transformation Luke s variational principle Minimal surface Morse theory Noether s theorem Path integral formulation Plateau s problem Prime geodesic Principle of least action Soap bubble Soap film Tautochrone curve Category Mathematics related lists Variations Category Calculus of variations ... more details
other uses Fish scale disambiguation Image Scale Common Roach.JPG thumb upright 1.5 The cycloid scales of a common roach Rutilus rutilus . The row of lateral line scales is visible in the lower half of the image. The skin of most Osteichthyes bony and cartilaginous fish es is covered by scale zoology scale s . Scales vary enormously in size, shape, structure, and extent, ranging from rigid armour plates in fishes such as shrimpfish es and boxfish es, to microscopic or absent in fishes such as eel s and anglerfish es. The morphology biology morphology of a scale can be used to identify the species of fish it came from. Fish scales are produced from the mesoderm layer of the dermis , which distinguishes them from reptile scale s. The same gene s involved in tooth and hair development in mammal s are also involved in scale development. ref cite doi 10.1016 S0960 9822 01 00438 9 ref Types Placoid scales Also called dermal denticles , placoid scales are found in the cartilaginous fishes shark s, Batoidea rays , and chimaera s. They are structurally homology biology homologous with vertebrate tooth animal teeth denticle translates to small tooth , having a central pulp tooth pulp cavity supplied with blood vessel s, surrounded by a conical layer of dentine , all of which sits on top of a rectangular ... the scales are greatly reduced in thickness to resemble cycloid scales see below . Elasmoid ... tetrapodomorphs like Eusthenopteron , amiids, and teleosts, whose cycloid and ctenoid scales represent the least mineralized elasmoid scales. Cycloid and ctenoid scales Cycloid and ctenoid scales are found in the teleost s, the more derived clade of ray finned fishes. Cycloid scales have smooth margins .... In flatfish es, some species have ctenoid scales on the eyed side and cycloid scales on the blind side, while other species have ctenoid scales in males and cycloid scales in females. Ctenoid scales ... itself. In true ctenoid scales , the spines on the scale are distinct structures. Cycloid and ctenoid ... more details
Antoine de Laloub re 1600 1664 , a Jesuit , born in Languedoc , is chiefly known for an incorrect solution of Pascal s problems on the cycloid, which he gave in 1660, but he has a better claim to distinction in having been the first mathematician to study the properties of the helix . De Laloub re died at Toulouse . See also List of Jesuit scientists List of Roman Catholic scientist clerics This article is based on a public domain article from Wikipedia Rouse History of Mathematics Rouse History of Mathematics . Persondata Metadata see Wikipedia Persondata . NAME Laloubere, Antoine De ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH 1600 PLACE OF BIRTH DATE OF DEATH 1664 PLACE OF DEATH DEFAULTSORT Laloubere, Antoine De Category 1600 births Category 1664 deaths Category French mathematicians Category French Jesuits Category Roman Catholic cleric scientists France mathematician stub fr Antoine de Lalouv re ht Antoine de Laloub re sl Antoine de Laloub re ... more details
pinpointed the nosological autonomy of cycloid psychoses, unsystematic and systematic schizophrenias ... of birth seasonality is confined to an excess of winter and spring births in cycloid psychoses ... and febrile affections in the first trimester of maternal gestation with the later occurrence of cycloid ... of the cycloid psychoses was substantiated by neurophysiological and morphometric studies. In a systematic twin study, he provided evidence that in cycloid psychosis monozygotic pairs had ... by a controlled family study, where first degree relatives of patients with cycloid psychoses ... more details
for the joint Pivot joint image CycloidAnim04.gif thumb 290px right A cycloid a common trochoid generated by a rolling circle Trochoid is the word created by Gilles de Roberval for the curve described by a fixed point as a circle rolls along a straight line. As a circle of radius a rolls without slipping along a line L, the center C moves parallel to L, and every other point P in the rotating plane rigidly attached to the circle traces the curve called the trochoid. Let CP b . If P lies inside the circle b < a , on its circumference b a , or outside b > a , the trochoid is described as being curtate, common, or prolate, respectively. Parametric equation s of the trochoid, which assume L is the x axis, are math x a theta b sin theta , math math y a b cos theta , math where &theta is the variable angle through which the circle rolls. A curtate trochoid is traced by a pedal when a bicycle is pedaled along a straight line. A prolate , or extended trochoid is traced by the tip of a paddle when a boat is driven with constant velocity by paddle wheels this curve contains loops. A common trochoid, also called a cycloid , has cusp singularity cusp s at the points where P touches the L . A more general approach would define a trochoid as the Locus mathematics locus of a point math x,y math orbit orbiting at a constant rate around an axis located at math x ,y math , math x x r 1 cos omega 1 t phi 1 , y y r 1 sin omega 1 t phi 1 , r 1 0, math which axis is being translated in the x y plane at a constant rate in either a straight line, math begin array lcl x x 0 v 2x t, y y 0 v 2y t therefore x x 0 r 1 cos omega 1 t phi 1 v 2x t, y y 0 r 1 sin omega 1 t phi 1 v 2y t, end array math or a circular path another orbit around math x 0,y 0 math the hypotrochoid epitrochoid case , math begin array lcl x x 0 r 2 cos omega 2 t phi 2 , y y 0 r 2 sin omega 2 t phi 2 , r 2 ge 0 therefore x ... by either radial maxima or radial minima. See also Epitrochoid Hypotrochoid Cycloid Epicycloid Hypocycloid ... more details
equation of an inverted cycloid generated by a circle of diameter D . Johann s brother Jacob Bernoulli ... by the method given above, he went on to show that it does yield a cycloid. ref name Struik Citation ... for least time similar to that above before showing that its solution is a cycloid. ref name Struik .... The actual solution to Galileo s problem is half a cycloid. Galileo studied the cycloid and gave ... also Calculus of variations Beltrami identity Cycloid Tautochrone curve Catenary Equations of motion ... more details
Image Tautochrone curve.gif 300px right thumb Four points run over a cycloid from different positions, but they arrive at the bottom at the same time. The blue arrows show the points acceleration along the curve. On the top is the time position diagram. A tautochrone or isochrone curve from Greek prefixes wiktionary wiki tauto tauto meaning same or wiktionary wiki iso iso equal , and wiktionary wiki chrono chrono time is the curve for which the time taken by an object sliding without friction in uniform gravity to its lowest point is independent of its starting point. The curve is a cycloid , and the time is equal to Pi &pi times the square root of the radius over the acceleration of gravity. The tautochrone problem quotebox width 30 quote It was in the left hand try pot of the Pequod, with the soapstone diligently circling round me, that I was first indirectly struck by the remarkable fact, that in geometry all bodies gliding along the cycloid, my soapstone for example, will descend from any point in precisely the same time. source Moby Dick by Herman Melville , 1851 The tautochrone problem, the attempt to identify this curve, was solved by Christiaan Huygens in 1659. He proved geometrically in his Horologium oscillatorium , originally published in 1673, that the curve was a cycloid . On a cycloid whose axis is erected on the perpendicular and whose vertex is located at the bottom ... from any point on the cycloid, are equal to each other... ref cite book last Blackwell first ... 4u 2 1 over 4 sin 1 2u , math math y u 2 , math To see that this is a strangely parametrized cycloid ... a horizontal line &mdash a cycloid math begin align x & r sin phi phi C x y & r cos phi C y end align ... pi frac 1 sqrt y math It can be shown that the cycloid obeys this equation. Simmons , Section 54 . See also Calculus of variations Beltrami identity Cycloid Catenary Equations of motion Equations of uniformly ...?did 02260001&seq 9 A Treatise on The Cycloid and all forms of Cycloidal Curves 1878 , posted by http ... more details
Taxobox name American butterfish image Poronotus triacanthus.jpg image width 240px regnum Animal ia phylum Chordate Chordata classis Actinopterygii ordo Perciformes familia Stromateidae genus Peprilus species P. triacanthus binomial Peprilus triacanthus binomial authority William Dandridge Peck Peck , 1804 The American butterfish , Peprilus triacanthus , is a butterfish of the family Stromateidae . It is also known as a dollarfish , Shiner fish shiner , Skipjack tuna skipjack , Sheepshead fish sheepshead , or harvestfish . Appearance Fish of this species are usually deep bodied, flattened sideways and somewhat circular or rounded, with blunt noses and small mouths with weak teeth. Some other characteristics of this fish are the absence of ventral fins, one long, continuous dorsal fin , long pectoral fin s, and tiny, wikt cycloid cycloid scales. The tail fin is nearly as long as the dorsal fin and deeply forked. The American butterfish is similar in appearance to its close relative, the harvestfish Peprilus alepidotus , but can be distinguished by its much lower dorsal and tail fin. This fish is a lead blue color above with pale sides and a silvery belly. It often has dark, irregular spots. It is generally convert 6 9 in cm , though some individuals reach 12 inches. They can weigh anywhere from convert 1.75 20 oz g if particularly fat. Range From http www.gma.org fogm Poronotus triacanthus.htm gma.org Atlantic coast of North America from the offing of South Carolina and from coastal North Carolina waters to the outer coast of Nova Scotia and Cape Breton northward as a stray to the Gulf of St. Lawrence and to the south and east coasts of Newfoundland southward to Florida in deep water Habits Relatively little is known about the American butterfish considering it is an important food source and a common species. It travels in small bands or loosely organized school s, preferring sandy bottomed areas to muddy ones, and often coming close to shore. During summer mon ... 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 link ... more details
NOTOC italic title Taxobox name Cape Verde mabuyas image Chioninia coctei.jpg image width 250px image caption The extinct Cape Verde Giant Skink Chioninia coctei needs clarification of taxonomy Chioninia vs Macroscincus regnum Animal ia phylum Chordata classis Reptilia small paraphyletic small subclassis Diapsida unranked infraclassis Sauria infraclassis Lepidosauromorpha ordo Squamata subordo Scleroglossa infraordo Scincomorpha familia Scincidae subfamilia Lygosominae genus Chioninia genus authority subdivision ranks Species subdivision 6 sp., see Species text The skink genus Chioninia belongs to the subfamily Lygosominae . For long, this genus was included in the wastebin taxon Mabuya it contains the Cape Verde mabuyas . ref name cyberlizards2004 Cyberlizards 2004 ref Description They are mid sized to largish lizard s with cylindrical bodies, tails of medium length, and well developed arms and legs the hands and feet have 5 toes each. Their wikt cycloid cycloid Scale zoology scale s are underlaid by osteoderm s the scales on the back and belly are similar in shape, but those on the back are keeled. The scales on the top of the head are generally flat and subimbricate they have a pair of supranasal scales and the frontoparietal and prefrontal scale s are paired or fused. The third supraocular scale is the hindmost one that contacts the frontal scale , and the secondary temporal scales touch each other. The nasal scale is undivided. ref name cyberlizards2004 Chioninia mabuyas have 26 27 presacral vertebra e. Their palatine bone s are in contact with the Median disambiguation median the deep sphenopalatine notch separates the toothed or toothless Pterygoid processes of the sphenoid pterygoid s and extends forwards to between the centre of the eyes. The fairly small teeth are pleurodont . The ear opening is small, and the eardrum s are hidden in a moderately deep ear canal . ref name cyberlizards2004 Species ref http jcvi.org reptiles search.php?taxon &genus Chioninia ... more details
to get math rm sech 1 y sqrt 1 y 2 ,y math . Involute of a cycloid One involute of a cycloid is a congruence geometry congruent cycloid. In cartesian coordinates the curve follows math x r t sin t , math ... more details
Year nav topic 1634 science The year 1634 in science and technology involved some significant events. Botany Thomas Johnson botanist Thomas Johnson begins publishing Mercurius Botanicus , including a list of indigenous British plants. Mathematics Gilles de Roberval shows that the area under a cycloid is three times the area of its generating circle . ref cite book first L on last Auger title Un savant m connu, Gilles Personne de Roberval, 1602 1675 son activit intellectuelle dans les domaines math matique, physique, m canique et philosophique location Paris publisher Blanchard year 1962 ref Medicine Louise Bourgeois Boursier publishes her Collection of Secrets on obstetrics in Paris , including techniques such as podalic version . ref cite web url http www.encyclopedia.com topic Louise Bourgeois French midwife .aspx work Encyclopedia of World Biography year 2005 title Bourgeois, Louyse accessdate 2011 10 02 ref Zoology Publication of Insectorum sive Minimorum Animalium Theatrum in London , compiled posthumously from the work of Edward Wotton zoologist Edward Wotton , Conrad Gesner and Thomas Penny by Thomas Muffet . Births Deaths February 15 Wilhelm Fabry , Germany German born surgeon b. 1560 in science 1560 November 7 Cornelius Drebbel , Netherlands Dutch inventor b. 1572 in science 1572 Nikolaus Ager , French people French botanist b. 1568 in science 1568 Martin Llewellyn , British Cartography cartographer b. 1565? References reflist Category 1634 in science fr 1634 en science hu 1634 a tudom nyban mk 1634 ... more details
Unreferenced date December 2009 Taxobox name Labrisomids image labrisomid.png image width 200px image caption Auchenionchus microcirrhis regnum Animal ia phylum Chordate Chordata classis Actinopterygii ordo Perciform es subordo Blennioidei familia Labrisomidae subdivision ranks Genus Genera subdivision See text. Labrisomids are small blenny blennioids , perciform marine fish belonging to the family Labrisomidae . Found mostly in the tropical Atlantic Ocean Atlantic and Pacific Ocean , the family contains approximately 98 species in 14 genera. Stockier than the average blenny, labrisomids are Ichthyology terms E elongate nonetheless their dorsal fin Ichthyology terms S spines outnumber soft Ichthyology terms R rays which may be absent altogether , and the pelvic fin s are long and slender. Like many other blennies, labrisomids have whisker like structures called Ichthyology terms C cirri on the head and Ichthyology terms N nape . Scales may be Ichthyology terms C cycloid or absent in labrisomids many species are brightly coloured. The hairy blenny Labrisomus nuchipinnis is the largest species at 23 centimeres in length most are far smaller. Generally staying within shallow coastal regions to depths of c. 10 metres, labrisomids are benthic fish spending most of their time on or near the bottom. Both sandy and rocky substrates are frequented, sometimes at reef s or amongst beds of seagrass . Labrisomids are shy fish and will retreat into crevices if threatened. Crustacean s, gastropod s, brittle star s and sea urchin s make up much of the labrisomid diet. Two genera of labrisomid are noted for their ovoviviparity Xenomedea and Starksia both retain eggs within the oviduct where they develop in safety. However, only Starksia species possess a Ichthyology terms G gonopodium a modified anal fin used as a copulatory organ . Genera Alloclinus Auchenionchus Calliclinus Cottoclinus Cryptotrema Dialommus Exerpes Haptoclinus Labrisomus Malacoctenus Nemaclinus Paraclinus Starksia ... more details
In mathematics , a transcendental curve is a curve that is not an algebraic curve . ref name newman Newman, JA, The Universal Encyclopedia of Mathematics , Pan Reference Books, 1976, ISBN 0330243969, Transcendental curves . ref Here for a curve, C , what matters is the point set typically in the plane mathematics plane underlying C , not a given parametrisation. For example, the unit circle is an algebraic curve pedantically, the real points of such a curve the usual parametrisation by trigonometric function s may involve those transcendental function s, but certainly the unit circle is defined by a polynomial equation. The same remark applies to elliptic curve s and elliptic function s and in fact to curves of genus mathematics genus 1 and automorphic function s. The properties of algebraic curves, such as B zout s theorem , give rise to criteria for showing curves actually are transcendental. For example an algebraic curve C either meets a given line L in a finite number of points, or possibly contains all of L . Thus a curve intersecting any line in an infinite number of points, while not containing it, must be transcendental. This applies not just to sinusoidal curves, therefore but to large classes of curves showing oscillations. The term is originally attributed to Gottfried Wilhelm von Leibniz Leibniz . Further examples Cycloid Trigonometric function s Logarithm ic and exponential function exponential functions Archimedes spiral Logarithmic spiral Catenary tricomplex number Cosexponential functions Tricomplex cosexponential References reflist Category Curves ca Corba transcendental es Curva trascendente pt Curva transcendental ru uk ... more details
Ion cyclotron resonance is a phenomenon related to the movement of ions in a magnetic field . It is used for accelerating ions in a cyclotron , and for measuring the masses of an ionized analyte in mass spectrometry , particularly with Fourier transform ion cyclotron resonance mass spectrometers. It can also be used to follow the chemical kinetics kinetics of chemical reactions in a dilute gas mixture, provided these involve charged species. Definition of the resonant frequency An ion in a static and uniform magnetic field will move in a circle due to the Lorentz force . The circular motion may be superimposed with a uniform axial motion, resulting in a helix , or with a uniform motion perpendicular to the field, e.g., in the presence of an electrical or gravitational field, resulting in a cycloid . The angular frequency 2 Frequency f of this cyclotron motion for a given magnetic field strength B is given in SI units ref In SI units, the elementary charge e has the value 1.602 10 sup 19 sup Coulomb C , the mass of the ion m is often given in atomic mass unit or dalton 1 u 1 Da 1.660538782 83 10 sup 27 sup kg, the magnetic field B is measured in tesla unit teslas , and the angular frequency is measured in radian s per second . ref by math omega frac zeB m math . where z is the algebraic number of positive or negative charges of the ion, e is the elementary charge and m is the mass of the ion. The formula above means that an electric excitation signal having a frequency f will resonate with ions having a mass to charge ratio m z given by math frac m z frac eB 2 pi f math . References references See also Electron cyclotron resonance Cyclotron Fourier transform ion cyclotron resonance Category Condensed matter physics Category Electric and magnetic fields in matter Category Ion source Category Scientific techniques Category Plasma physics it Risonanza ionica ciclotronica ... more details
Frank Fish was the first professor for psychiatry at the University of Liverpool, ref Division of Psychiatry, Liverpool University University of Liverpool , 2nd Floor, Block B, Waterhouse Building, 1 5 Brownlow Street, Liverpool, L69 3GL, UK http www.liv.ac.uk psychiatry ac.uk weblink Retrieved 2012 01 20 ref and at some time during the 1960 s senior lecturer in psychiatry at the University of Edinburgh. ref Karl Leonhard, Professor of Psychiatry and Neurology Cycloid Psychoses Endogenous Psychoses which are neither Schizophrenic nor Manic Depressive The British Journal of Psychiatry 1961 107 633 648 http bjp.rcpsych.org content 107 449 633.short doi 10.1192 bjp.107.449.633 Retrieved 2012 01 20 ref He wrote Clinical Psychopathology Signs and Symptoms in Psychiatry. ref Patricia R. Casey, Brendan Kelly 2007 Fish s Clinical Psychopathology Signs and Symptoms in Psychiatry 138 pages http books.google.co.uk books?id gHdQTZNkA9YC&printsec frontcover v onepage&q&f false RCPsych Publications, Retrieved 2012 01 20 ISBN 1 904671 32 2 ref ref R.H.MacMallister http pb.rcpsych.org content 21 6 346.full.pdf rcpsych Retrieved 2012 01 20 ref ref Sameer Jauhaur s https docs.google.com viewer?a v&q cache W206Pc7n5qQJ www.rcpsych.ac.uk pdf Reading 2520list.pdf frank fish psychiatry&hl en&gl uk&pid bl&srcid ADGEESjBrj96mlbGSr ptZsg9clUa7Ew0HQKqfdwgvCpnqkfF9CpcooMViCWOvFBNwPSeRX4Of5yA6Uk 43486aXOJsvxz 5PDKlaZT0zw7HuZwKbrqvUoYNp1TDlyqLu6EKr8ijwgrz&sig AHIEtbTCjc15mufl314ueDrSM5fqH9LzfA recommended reading Retrieved 2012 01 20 ref References Reflist External links http scholar.google.co.uk scholar?hl en&q Frank Fish psychiatry&btnG Search&as sdt 0 2C5&as ylo &as vis 0 scholar.google links of publishments Categories Category Psychiatrists Category Psychiatry ... more details
italic title Taxobox name Asian mabuyas image MabuyaBasking.jpg image caption Unidentified Eutropis from Wayanad Kerala , India regnum Animal ia phylum Chordata classis Reptilia small paraphyletic small ordo Squamata familia Scincidae subfamilia Lygosominae genus Eutropis genus authority Leopold Fitzinger Fitzinger , 1843 ref name Das cite journal author Idraneil Das, Anslem de Silva & Christopher C. Austin year 2008 title A new species of Eutropis Squamata Scincidae from Sri Lanka journal Zootaxa volume 1700 pages 35 52 url http www.museum.lsu.edu Austin PDFs 20Austin 29. 20Eutropis 20Sri 20Lanka 202008.pdf format Portable Document Format PDF ref type species Eutropis multifasciata Gongylus sebae type species authority Dum ril & Bibron, 1839 ref name Das subdivision ranks Species subdivision 30 sp., see Species text File Bronze Grass Skink Mabuya macularia W IMG 9971.jpg thumb Bronze Grass Skink Mabuya macularia at Pocharam lake, Andhra Pradesh , India The skink genus Eutropis belongs to the subfamily Lygosominae . For long, this genus was included in the wastebin taxon Mabuya it contains the Asia n mabuyas . They often share their habitat with the related common skink s Sphenomorphus , but they do not compete significantly as their ecological niche s differ. ref name cyberlizards2004 Cyberlizards 2004 The Scincidae http web.archive.org web 20041011002308 www.nafcon.dircon.co.uk skinks eutropis.htm Eutropis . Version of February 29, 2004. Retrieved March 18, 2009. ref Description They are mid sized to largish lizard s with cylindrical bodies, tails of medium length, and well developed arms and legs the hands and feet have 5 toes each. Their wikt cycloid cycloid Scale zoology scale s are underlaid by osteoderm s the scales on the back and belly are similar in shape, but those on the back are keeled. The scales on the top of the head are generally flat and subimbricate they have a pair of supranasal scales and the frontoparietal and prefrontal scale s are p ... more details
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