resembling a sphere rotating around an axis. A rotation is a circular motion circular movement of an object around a center or point geometry point of rotation . A Three dimensional space three dimensional object rotates always around an imaginary Line geometry line called a rotation axis ... upon itself, or wikt spin spin . A rotation about an external point, e.g. the Earth about the Sun , is called ... Main Rotation mathematics File Rotation illustration.png right thumb Rotation of a planar figure around a point Mathematics Mathematically , a rotation is a rigid body movement which, like a translation ..., translations, or combinations of the two. File Rotation v spin Parent 1.png thumb Rotational Orbit v Spin A rotation is simply a progressive radial orientation to a common point. That common point lies .... If the axis of the rotation lies external of the body in question then the body is said to orbit. There is no fundamental difference between a rotation and a orbit and or spin . The key distinction is simply where the axis of the rotation lies, either within or without a body in question. This distinction can be demonstrated for both rigid and non rigid bodies. If a rotation around a point or axis is followed by a second rotation around the same point axis, a third rotation results. The reverse inverse element inverse of a rotation is also a rotation. Thus, the rotations around a point axis form a group mathematics group . However, a rotation around a point or axis and a rotation around a different point axis may result in something other than a rotation, e.g. a translation. Rotations around the x , y and z axes are called principal rotations . Rotation around any axis can be performed by taking a rotation around the x axis, followed by a rotation around the y axis, and followed by a rotation around the z axis. That is to say, any spatial rotation can be decomposed into a combination ... rotation around a fixed axis rotation group rotation matrix axis angle quaternion isometry anchor ... more details
Unreferenced stub auto yes date December 2009 Otheruses File New World Domesticated plants.JPG thumb right 280px Domesticated plants File Drying Crop in rural Punjabi home.JPG thumb right 280px Crops drying in a home in Punjab, India . A crop is a non animal species or variety botany variety that is grown to be harvest ed as food , livestock fodder , biofuel fuel or for any other economic purpose. Major world crops include maize corn , wheat , rice , soybean s, hay , potato es and cotton . While the term crop most commonly refers to plant s, it can also include species from other kingdom biology biological kingdoms . For example, mushroom s like shiitake , which are in the fungi kingdom, can be referred to as crops. In addition, certain species of algae are also cultivated , although it is also harvested from the wild. In contrast, animal species that are raised by human s are called livestock, except those that are kept as pet s. Microbial species, such as bacteria or virus es, are referred to as microbiological culture cultures . Microbes are not typically grown for food, but are rather used to alter food. For example, bacteria is used to fermentation food ferment milk to produce yogurt . See also Agriculture Break crop Bumper crop Cash crop Catch crop Cover crop Crop diversity Crop residue Crop rotation Crop weed Crop wild relative Crop lien system Energy crop Fiber crop Industrial crop Intercropping Multiple cropping Nurse crop Permanent crop Protein crop Sharecropping Underutilized crop Farming Category Crops Agri stub bg cs U itkov rostliny de Feldfrucht fr Moisson agriculture id Tanaman lt Kult riniai augalai ms Tanaman ja ko nl Gewas pl Plon ru simple Crop sk Plodina fi Viljelykasvi sv Gr da ta te th uk vi C y tr ng yi zh ... more details
Infobox Film name The Crop writer George Elliot Australian actor George Elliot starring George Elliot Australian actor George Elliot , br Holly Brisley , br Rhys Muldoon director Scott Patterson film director Scott Patterson producer distributor Miracle released 2004 runtime 103 minutes country FilmAustralia language English music awards budget The Crop is a 2004 Australian comedy film set during the 1980 s. Plot The Crop, set in the early 80s in Australia, is about larrikin nightclub owner, Ronnie Blade Gillette, and his barmaid girlfriend Geraldine. Two months after random breath testing has been introduced, Blade realises he s going broke. Afraid of driving under the influence, his customers are not buying his grog they re going out to the carpark to smoke dope. Like any good businessman, Blade decides he needs a strategy. He decides to grow some dope as a way out of his financial hole. Cast George Elliot Australian actor George Elliot Holly Brisley Rhys Muldoon Rudi Baker Tony Barry Kelly Butler Sam O Dell Rob Steele Vincent Stone Tahnee Stroet Bruce Venables John Howard Australian actor John Howard Box Office The Crop grossed 208,739 at the box office in Australia. ref http film.vic.gov.au resources documents AA4 Aust Box office report.pdf Film Victoria Australian Films at the Australian Box Office ref See also Cinema of Australia References Reflist External links imdb title 0416666 http colsearch.nfsa.afc.gov.au nfsa search display display.w3p adv yes group groupequals holdingType page 0 parentid query 602683 querytype rec 0 resCount 10 The Crop at the National Film and Sound Archive DEFAULTSORT Crop, The Category 2000s comedy films Category 2004 films Category Australian comedy films Category Australian films Category English language films Category Cannabis related films Australia film stub 2000s comedy film stub ... more details
Wiktionarypar rotation The term rotation can be used in several ways and includes various topics. Generally, it is used to denote in 3D the rotation of movement of a rigid body in such a way that any given point of that body remains at a constant distance from some fixed line in 2D point . More specifically, it is applicable to Croprotation , a farming practice Job rotation , a business management approach Stock rotation , a retail practice In physics Differential rotation of objects Optical rotation polarization Rotational spectroscopy In geometry and mathematics Rotation mathematics Rotation group Coordinate rotation , the transformation of coordinate systems Improper rotation producing an inversion The Curl mathematics curl of a vector field Bitwise rotation , a mathematical operator on bit patterns In music An order operation that may be performed on a set of pitch music pitch es or pitch ... rotation are rotationally equivalence equivalent . See Transformation music transformation , permutation music permutation . Rotation music , a term referring to the frequency of airplay of a particular song Rotation album , Cute Is What We Aim For s second studio album. Rotate song , a song off Capone N Noreaga s third album Channel 10 . Other Rotation film , the film of that name. Rotation pool , a type of pocket billiards game In baseball pitching, the Glossary of baseball R rotationrotation is the group of starting pitchers for a team, and the order in which they pitch Robson Rotation ... order Clerkship medicine , also known as a rotation, referring in medical education to the later ... classroom instruction Rotation aviation refers to the act of lifting the nose off the runway during takeoff Display rotation , for the orientation of a page on the display device of a computer disambig de Rotation fr Rotation gl Rotaci n hom nimos hr Rotacija it Rotazione disambigua lb Rotatioun lt ... sk Rot cia fi Rotaatio sv Rotation th ... more details
name nris NRISref 2008a ref The Old Rotation is a soil fertility experiment on the Auburn University campus in Auburn, Alabama . The Old Rotation experiment, which started in 1896, is the third oldest ongoing field crop experiment in the United States and the oldest continuous cotton experiment in the world. It was the first experiment to show that a cotton legume croprotation would allow soil to support a cotton crop indefinitely. The Old Rotation is listed on the National Register of Historic ... could be maintained by growing a crop of legumes on the same land as cotton, but in the winter months when cotton doesn t grow. This rotation of cotton and soybeans has continued uninterrupted since. In addition to the cotton legume rotation, additional rotations have been added in adjacent plots consisting of a cotton corn, cotton corn legume and cotton corn legume soybean rotation. It became evident within a few years that adding the winter legume crop as a rotation was sufficient to restore adequate nutrients to the soil to maintain a yearly cotton crop indefinitely. Experiment The Old Rotation ... in 100 year old experiment the 106th cotton crop grown on the Old Rotation the world s oldest ...Infobox nrhp name Old Rotation nrhp type image TheOldRotation1.JPG caption The Old Rotation at Auburn ... States suffered declines caused by planting the same crop on the same land year after year, a process ... Alabama Agricultural and Mechanical College set up the Old Rotation experiment on a one acre ... without rotation or fertilizer Cotton rotated with winter legumes but not fertilized Cotton ... of the unrotated plots. Miscellaneous The Old Rotation is located adjacent to the Donald E. Davis Arboretum on Lem Morrison Drive in Auburn. The Rotation was placed on the National Register of Historic ... Image TheOldRotation4.JPG Image OldRotation5.JPG gallery See also Cullars Rotation A similar nearby agricultural rotation experiment. National Register of Historic Places listings in Lee County, Alabama ... more details
The rotation method is a concept used by the philosopher S ren Kierkegaard in Either Or to describe the mechanism used by higher level aesthetes in order to avoid boredom . The method is an essential hedonism hedonistic aspect of the aesthetic way of life. Kierkegaard likens the rotation method to the croprotation used in agriculture , in which the soil is constantly rotated in order to maximize the use of nutrients for the crops. For the aesthete, one constantly changes what one is doing in order to maximize the enjoyment and pleasure derived from each activity. A consequence of the rotation method would be the aesthete s lack of commitment to any one thing. Commitment requires one to constantly repeat an activity however, for the aesthetic, repeating an activity leads to boredom, as this activity is no longer novel. The rotation method, Kierkegaard argues, would eventually lead aesthetes to a state of Despair emotion despair , because all activities, no matter how unique or new, will eventually become boring I don t feel like doing anything. I don t feel like riding the motion is too powerful I don t feel like walking it is too tiring I don t feel like lying down, for either I have to stay down, and I don t feel like doing that or I would have to get up again, and I don t feel like doing that, either. Summa Summarum I don t feel like doing anything. Either Or , p. 4 ref Kierkegaard, S ren. Either Or . Princeton, 1985. p. 4. ref The aesthete, Kierkegaard predicts, realizing and responding to the futility of one s hedonistic finite aims, will yearn to experience a more meaningful life. ref Watts, Michael. Kierkegaard . Oneworld, 2003. p. 198. ref References references External links http www.sorenkierkegaard.nl artikelen Engels 145. 20THE 20ROTATION 20OF 20CROPS.pdf The Rotation of Crops Kierkegaard Category Aesthetics Category S ren Kierkegaard ... more details
Heavy Rotation may refer to Heavy rotation , in broadcating, the repeated airing of a limited playlist of songs or music videos Heavy Rotation Anastacia album Heavy Rotation Anastacia album Heavy Rotation Deceptikonz album Heavy Rotation Deceptikonz album Heavy Rotation song Heavy Rotation song , a song by AKB48 Heavy Rotation , a song by Ciara from Basic Instinct album Basic Instinct Heavy Rotation , a song by Soul Asylum from Hang Time album Hang Time disambig ... more details
Cyclonic rotation or circulation is movement in the same direction as the Earth s rotation, as opposed to anticyclonic rotation . External links http amsglossary.allenpress.com glossary search?id cyclonic rotation1 Cyclonic Rotation AMS Glossary of Meteorology climate stub nl Cyclonale circulatie Category Climate pattern ... more details
Anticyclonic rotation or circulation is movement in the direction opposite to the Earth s rotation. Compare cyclonic rotation External links http amsglossary.allenpress.com glossary search?id anticyclonic rotation1 Anticyclonic Rotation AMS Glossary of Meteorology climate stub nl Anticyclonale circulatie Category Climate pattern ... more details
Cleanup format date August 2008 For the term as used in 3 dimensional space, see Rotation operator vector space For the term as used in quantum mechanics, see Rotation operator quantum mechanics disambig ... more details
Unreferenced date January 2008 In 3D geometry , an improper rotation , also called rotoreflection or rotary reflection is, depending on context, a linear transformation or affine transformation which is the combination of a rotation about an axis and a reflection in a plane perpendicular to the axis. Equivalently it is the combination of a rotation and an inversion in a point on the axis. Therefore it is also called a rotoinversion or rotary inversion . In both cases the operations commute. Rotoreflection and rotoinversion are the same if they differ in angle of rotation by 180 , and the point of inversion is in the plane of reflection. An improper rotation of an object thus produces a rotation of its mirror image . The axis is called the rotation reflection axis . This is called an n fold improper rotation if the angle of rotation is 360 n . The notation S sub n sub S for Spiegel , German for mirror denotes the symmetry group generated by an n fold improper rotation not to be confused ... , i.e. rotation by an angle of rotation of 360 n with inversion. In the wider sense, an improper rotation is an indirect isometry , i.e., an element of E 3 E sup sup 3 see Euclidean group it can ... is an affine transformation with an orthogonal matrix that has a determinant of 1. A proper rotation is an ordinary rotation. In the wider sense, a proper rotation is a direct isometry , i.e., an element of E sup sup 3 it can also be the identity, a rotation with a translation along the axis, or a pure ... a determinant of 1. In the wider senses, the composition of two improper rotations is a proper rotation, and the product of an improper and a proper rotation is an improper rotation. When studying the symmetry of a physical system under an improper rotation e.g., if a system has a mirror symmetry ... symmetries Category Lie groups de Drehspiegelung fr Antirotation ja simple Improper rotation sv Oegentlig rotation ... more details
The Carrington rotation of the Sun is a system for comparing locations on the Sun over a period of time, allowing the following of sunspot groups or reappearance of eruptions at a later time. Because the Solar rotation is variable with latitude, depth and time, any such system is necessarily arbitrary and only makes comparison meaningful over moderate periods of time. Differential rotation is when different latitudes rotate at different rates and applies to all fluid bodies including all stars and the surface of gas giant planets. Solar rotation is arbitrarily taken to be 27.2753 days for the purpose of Carrington rotations. Each rotation of the Sun under this scheme is given a unique number called the Carrington Rotation Number, starting from November 9, 1853. The Bartels Rotation Number ref Citation last Bartels first J. title Twenty Seven Day Recurrences in Terrestrial Magnetic and Solar Activity, 1923 1933 journal Terrestrial Magnetism and Atmospheric Electricity volume 39 pages 201 202a year 1934 doi 10.1029 TE039i003p00201 ref is a similar numbering scheme that uses a period of exactly 27 days and starts from February 8, 1832. Richard Christopher Carrington determined the solar rotation rate from low latitude sunspots in the 1850s and arrived at 25.38 days for the sidereal rotation period. Sidereal rotation is measured relative to the stars, but because the Earth is orbiting ... the central meridian and based on the Carrington rotations. In each rotation, plotted under the preceding ... rotation. There may be slight drifts left or right over longer periods of time. See also Orbital period Differential rotation in stars References reflist External links http alpo astronomy.org solar rotn nos.html Carrington Rotation Commencement Dates 1853 2016 http umtof.umd.edu pm crn CARRTIME.HTML Carrington Rotation Start and Stop Times http scienceworld.wolfram.com astronomy CarringtonRotationNumber.html Carrington Rotation Number Category Sun zh ... more details
In geometry , a plane of rotation is an abstract object used to describe or visualise rotation mathematics rotation s in space. In three dimensions it is an alternative to the Rotation around a fixed axis axis of rotation , but unlike the axis of rotation it can be used in other dimensions, such as two ... in a number of ways. They can be described in terms of Plane geometry plane s and angle s of rotation ... and eigenvectors of a rotation matrix . And in particular dimension s they are related to other algebraic and geometric properties, which can then be generalised to other dimensions. Planes of rotation ... so identifying the plane of rotation is trivial and rarely done, while in three dimensions the axis of rotation serves the same purpose and is the more established approach. The main use for them is in describing ... be taken as another definition of the plane. Plane of rotation A plane of rotation for a particular rotation mathematics rotation is a plane that is Linear map mapped to itself by the rotation. The plane is not fixed, but all vectors in the plane are mapped to other vectors in the same plane by the rotation. This transformation of the plane to itself is always a rotation about the origin, through an angle which is the angle of rotation for the plane. Every rotation except for the Identity element identity rotation with matrix the identity matrix has at least one plane of rotation, and up to math left lfloor frac n 2 right rfloor math planes of rotation, where n is the dimension. The maximum ... width 50px 7 style width 50px 8 Number of planes 1 1 2 2 3 3 4 When a rotation has multiple planes of rotation they are always orthogonal to each other, with only the origin in common. This is a stronger ... ref In more than three dimensions planes of rotation are not always unique. For example the negative ... pmatrix 1 & 0 & 0 & 0 0 & 1 & 0 & 0 0 & 0 & 1 & 0 0 & 0 & 0 & 1 end pmatrix , math describes a rotation in four dimensions in which every plane through the origin is a plane of rotation through an angle ... more details
Image Circle.svg thumb right A circle. A complete rotation about the center point is equal to 1 turn geometry turn , 360 degree angle , or 2 pi radian s. In mathematics , the angle of rotation is a measurement of the amount, the angle , that a shape figure is rotation rotated about a fixed point mathematics fixed point , often the center geometry center of a circle . For example, the carts on a Ferris wheel move along a circle around the center point of that circle. If a cart moves around the wheel once, the angle of rotation is 360 degrees. If the cart was stuck halfway, at the top of the wheel, at that point its angle of rotation was only 180 degrees. See also Hinge Plane of rotation Rotational symmetry Geometry stub Category Angle et P rdenurk ... more details
Unreferenced date December 2009 Differential rotation is seen when different parts of a rotating object move with different angular velocity angular velocities rates of rotation at different latitudes ... s usually show differential rotation and examples in our solar system include the Sun , Jupiter and Saturn . History Around the year 1610, Galileo Galilei observed sunspots and calculated the rotation ... at the poles and at the equator, in good agreement with modern values. The cause of differential rotation Because of the pre stellar accretion phase, and the conservation of angular momentum , rotation is induced. Differential rotation is caused by convection in stars. This is movement of mass, due ... angular velocity in stellar wind s. Differential rotation thus depends on temperature differences in adjacent regions. Measuring differential rotation There are many ways to measure and calculate differential rotation in stars to see if different latitudes have different angular velocities. The most ... measurements of solar p modes it is possible to deduce the differential rotation. The Sun has very ... can yield the rotation of the solar interior. This varies with both depth and especially latitude ... math , where i is the angle between the line of sight and the rotation axis, permitting the study of the rotational ... 2. Solar differential rotation is also seen in magnetograms, images showing the strength and location of solar magnetic fields. Effects of differential rotation Gradients in angular rotation caused ... in the outer envelopes. The interface between these two regions is where angular rotation gradients ... rotation is one part of the mixing processes in stars, mixing the materials and the heat energy of the stars. Differential rotation affects stellar optical absorption line spectra through Doppler ... surface. Solar differential rotation causes shear at the so called tachocline. This is a region where rotation changes from differential in the convection zone to nearly solid body rotation in the interior ... more details
Image Synchronous rotation.svg thumb Due to synchronous rotation of their moon, the inhabitants of the central body will never be able to see its side marked with green. In astronomy , synchronous rotation is a planetology planetological term describing a body orbit ing another, where the orbiting body takes as long to rotate on its axis of rotation axis as it does to make one orbit and therefore always keeps the same hemisphere pointed at the body it is orbiting. Another way of describing it is that from the surface of the satellite, the main planet appears to be locked in place in the sky as it slowly rotates. The Moon is in synchronous rotation about the Earth . In fact, most major natural satellite moons in the solar system have synchronous rotation due to tidal locking . See also Tidal locking Tidal acceleration Rotation Synchronous orbit Orbital resonance External links http www.mhhe.com physsci astronomy arny instructor graphics ch06 0611.html Diagram illustrating the Moon s synchronous rotation Category Planetary science astronomy stub af Sinkroniese omwenteling als Gebundene Rotation ar bg ca Rotaci s ncrona cs V zan rotace da Bunden rotation de Gebundene Rotation es Rotaci n s ncrona eo Ligita rotacio fr Rotation synchrone ko hr Sinkrona rotacija it Rotazione sincrona he nl Synchronisatiehoogte ja no Bundet rotasjon nn Bunden rotasjon nds Bunnen Rotatschoon pl Obr t synchroniczny pt Rota o sincronizada sk Viazan rot cia sl So asno vrtenje sv Bunden rotation vi Qu o quay ng b zh ... more details
This article is about the rotation number , which is sometimes called the map winding number or simply winding number . There is another meaning for winding number , which appears in complex analysis . In mathematics , the rotation number is an invariant of homeomorphism s of the circle . It was first defined by Henri Poincar in 1885 , in relation to the precession of the perihelion of a planetary ... number rationality of the rotation number. Definition Suppose that f S sup 1 sup S sup 1 ... math for every real number x and every integer m . The rotation number of f is defined in terms of the iterated ... is unique modulo integers, therefore the rotation number is a well defined element of R Z . Intuitively, it measures the average rotation angle along the orbit dynamics orbits of f . Example If f is a rotation by , so that math F x x theta, math then its rotation number is cf Irrational rotation . Properties The rotation number is invariant under topological conjugacy , and even topological semiconjugacy ... map h of the circle into itself not necessarily homeomorphic then f and g have the same rotation ... of the circle. There are two distinct possibilities. The rotation number of f is a rational number ... of the points on each such orbit coincides with the order of the points for a rotation by p ... and backward directions may be different. The rotation number of f is an irrational number ... rotation by the angle &theta and all orbits are dense set dense . Denjoy proved that this possibility ... and backward direction converge to C . In this case, f is semiconjugate to the irrational rotation by &theta ... . Another important property of the rotation number is that it is continuous when viewed as a map ... Rotation theory urlname Rotation theory curator Micha Misiurewicz Sebastian van Strien, http www.maths.warwick.ac.uk strien MA424 HTMLversion node6.html Rotation Numbers and Poincar s Theorem 2001 Category Fixed points Category Dynamical systems fr Nombre de rotation nl Rotatiegetal pl Liczba ... more details
Infobox nrhp name Cullars Rotation nrhp type image Cullars Rotation Auburn University.JPG caption Cullars Rotation is the oldest continuous soil fertility experiment in the Southeastern United States . Cullars Rotation is located on the campus of Auburn University directly behind the Jule Collins Smith Museum of Fine Art . location Woodfield Dr., E of US 29, Auburn, Alabama lat degrees 32 lat minutes 35 lat seconds 19 lat direction N long degrees 85 long minutes 29 long seconds 1 long direction W ... 03000231 ref name nris NRISref 2009a ref The Cullars Rotation is a soil fertility experiment on the Auburn ... Places . The Cullars Rotation experiment, which started in 1911, is the oldest ongoing cotton fertility ..., the land on which the Cullars Rotation sits was used in a number of agricultural experiments ... fertilization on a three year rotation of cotton , maize corn , and wheat and soybeans . The Cullars .... In 2001, the portion of the Cullars site not occupied by the Cullars Rotation was landscaped ... between the museum grounds and the rotation to ensure experimental integrity. Experiment The Cullars Rotation consists of three sets of 14 soil treatments, with one set of treatments for each of the three crops cotton, corn, and wheat and soybeans in the rotation. Each treatment fills a roughly ... have made certain sections of the Cullars Rotation some of the most nutrient poor soil in the United States. Miscellaneous The Cullars Rotation is located east of the grounds of the Jule Collins ... experiment, the Rotation is not open to the public, but can be viewed from the museum grounds. The Rotation was placed on the National Register of Historic Places on May 18, 2003. See also Old Rotation A similar nearby agricultural rotation experiment National Register of Historic Places listings ... www.ag.auburn.edu agrn cullars.htm The Cullars Rotation circa 1911 . Retrieved January 21, 2006. Mitchell, C.C., Delaney, D.P., Balkcom, K.S. 2004. Alabama s Cullars Rotation Experiment C. 1911 ... more details
A rotation flap is a semicircular skin flap that is rotated into the defect on a fulcrum point . The flap must be adequately large, and a large base is necessary if a back cut will be needed to lengthen the flap. If the flap is too small, the residual defect can be covered by mobilizing the surrounding tissue. A drawback of rotation flaps is the extended cutting and undermining needed to create the flap, thus increasing the risk of hemorrhage and nerve damage . References cite book title Reconstructive Facial Plastic Surgery A Problem Solving Manual last Weerda first Hilko year 2001 publisher Thieme Medical Publishers isbn 1588900762 External links http www.emedicine.com derm topic861.htm Rotation flap eMedicine http www.accessmedicine.com search searchAMResultImg.aspx?rootterm local rotation flap&rootID 44357&searchType 1 Images on rotation flap Category Surgical techniques Surgery stub ... more details
Ad rotation is the practice of showing multiple Advertising advertisements in a single location on a web page . Ads may be rotated with each new page load, within a single page load, or both. Because the ads are placed in the same location, they are typically the same format. The goals of ad rotation include Allow publishing sites to serve ads for multiple advertisers. Keep advertising fresh . If the ad never changes, users are more likely to ignore it. For content rich sites, increase exposure to advertising by showing multiple ads per page load instead of just one. Ad rotation software , known as ad rotators , commonly provide features such as the following image management display weighting to control the frequency and duration of individual ads reporting, allowing advertisers to see how often ads were displayed and clicked for service based ad rotation, management features such as color selection , filtering competitor ads , channel selection content, video, search, etc. and payment management Technical implementation Technically, ad rotation can be accomplished in multiple ways. The three most common approaches are server side , client side and service based . With server side ad rotation, the ad is selected on the server and the corresponding HTML markup is generated and then served. Client side ad rotation typically involves JavaScript of some sort either straight client side JavaScript or else AJAX calls to the server. Service based ad rotation is similar to client side ad rotation in that it typically involves placing a small amount of JavaScript in the web page, but the JavaScript calls against a third party service that provides its own management interface for specifying ad delivery options. Google s AdSense service is an example of service based ad rotation. References Rotating Advertisements on Your Site http www.logicaltips.com LPMArticle.asp?ID 89 DEFAULTSORT Ad Rotation Category Internet advertising and promotion Category Internet marketing ... more details
, the specific rotation of a chemical compound is defined as the observed angle of optical rotation when plane polarized light is passed through a sample with a path length of 1 decimetre decimeter and a sample concentration of 1 gram per 1 millilitre . The specific rotation of a pure material ... to be room temperature. The formal unit for specific rotation values is deg dm sup 1 sup cm sup 3 ... value means levorotatory rotation and a positive value means dextrorotatory rotation. Some examples ... 49 S bromobutane 23.1 R bromobutane &minus 23.1 cavicularin 168.2 Optical rotation is measured with an instrument called a polarimeter . There is a linear relationship between the observed rotation ... between the observed rotation and the wavelength of light used. Specific rotation is calculated using ... D is used. The sign of the rotation or is always given. math alpha D 20 6.2 math For solutions ... the sodium D line , the symbol D is used. The sign of the rotation or is always given. When using this equation, the concentration and the solvent may be provided in parentheses after the rotation. The rotation is reported using degrees, and no units of concentration are given it is assumed to be g ... are working with. If a compound has a very large specific rotation or a sample is very concentrated, the actual rotation of the sample may be larger than 180 , and so a single polarimeter measurement ... are the values 361 and 1 . In these cases, measuring the rotation at several different concentrations ... of specific rotation with wavelength to facilitate measurement. Switching wavelength is particularly ... lamp for this purpose. The variation of specific rotation with wavelength is the basis ... compounds. Measuring optical rotation provides, in theory, a way to assess optical purity of a sample ... conditions has an observed rotation of &minus 9.2 , this indicates that the net effect is due to 100 ... 30 R and 30 S , which has no net contribution to the observed rotation. The enantiomeric excess ... more details
Image Rotation illustration2.svg right thumb Rotation of an object in two dimensions around a point math O. math In geometry and linear algebra , a rotation is a transformation geometry transformation in a plane or in space that describes the motion of a rigid body around a fixed point. A rotation is different ... mathematics reflection , which flips the bodies it is transforming. A rotation and the above mentioned ... Image Rotation4.svg right thumb A plane rotation around a point followed by another rotation around a different point results in a total motion which is either a rotation as in this picture , or a translation ... in a total motion that is a rotation around the point of intersection of the axes. Only a single angle is needed to specify a rotation in two dimensions the angle of rotation . To calculate the rotation ... the rotation is acting to rotate an object counterclockwise through an angle about the origin mathematics origin . Matrix algebra To carry out a rotation using matrices the point x , y to be rotated ... of the point after rotation, and the formulae for x and y can be seen to be math begin align x & x ... , as such rotations are entirely determined by the angle of rotation. ref Lounesto 2001, p.30 ... of freedom, the same as the number of dimensions A three dimensional rotation can be specified in a number of ways. The most usual methods are as follows. Matrix algebra Main Rotation matrix As in two ... basis as are its columns, making it easy to spot and check if a matrix is a valid rotation ... then the transformation given by it is a Reflection mathematics reflection , improper rotation or inversion in a point , i.e. not a rotation. Matrices are often used for doing transformations, especially ... 4 matrices, which are not rotation matrices but which have a 3 3 rotation matrix ... axes Image Flight dynamics with text.png right thumb The principal axes of rotation in space One way of generalising the two dimensional angle of rotation is to specify three rotation angles, carried ... more details
External rotation or lateral rotation is rotation away from the center of the body. The muscles of external rotation include of arm humerus at shoulder ref http www.exrx.net Articulations Shoulder.html anchor109903 Shoulder Articulations Bot generated title ref Deltoid muscle Infraspinatus Teres minor of thigh femur at hip ref http www.exrx.net Articulations Hip.html anchor849446 Hip Articulations Bot generated title ref Gluteus maximus muscle Gluteus maximus Lateral rotator group piriformis gemellus superior obturator internus gemellus inferior obturator externus quadratus femoris Sartorius muscle Sartorius Obturator externus of leg at knee ref http www.exrx.net Articulations Knee.html anchor23261 Knee Articulations Bot generated title ref Biceps femoris muscle Biceps femoris of human eyeball eyeball motion is also called extorsion or excyclotorsion ref eMedicineDictionary Extorsion ref Inferior rectus muscle Inferior oblique muscle References references External links eMedicineDictionary External rotation Joints Category Anatomical terms of motion musculoskeletal stub de Rotation Medizin nl Exorotatie ... more details
In anatomy , internal rotation also known as medial rotation is rotation towards the center of the body. The muscles of internal rotation include of arm humerus at shoulder ref http www.exrx.net Articulations Shoulder.html anchor109903 Shoulder Articulations Bot generated title ref Deltoid muscle Subscapularis Teres major Latissimus dorsi Pectoralis major Biceps Brachii of thigh femur at hip ref http www.exrx.net Articulations Hip.html anchor849446 Hip Articulations Bot generated title ref Tensor fasciae latae Gluteus medius Gluteus minimus of leg at knee ref http www.exrx.net Articulations Knee.html anchor23261 Knee Articulations Bot generated title ref Popliteus Semimembranosus Semitendinosus of human eyeball eyeball motion is also called intorsion or incyclotorsion ref eMedicineDictionary Intorsion ref Superior rectus muscle Superior oblique muscle References references External links eMedicineDictionary internal rotation Joints Category Anatomical terms of motion musculoskeletal stub de Rotation Medizin nl Endorotatie ... more details
4 rotations in higher dimensions orthogonal group Mergefrom Rotation operator vector space date November ... mechanics and geometry , the rotation group is the group mathematics group of all rotation s about ... composition composition . ref Jacobson 2009 , p. 34, Ex. 14. ref By definition, a rotation about the origin ... which reverses orientation is an improper rotation , that is a reflection or more generally a rotoinversion. Composing two rotations results in another rotation every rotation has a unique inverse rotation and the identity function identity map satisfies the definition of a rotation. Owing .... Moreover, the rotation group has a natural manifold structure for which the group operations are smooth function smooth so it is in fact a Lie group . The rotation group is often denoted SO 3 for reasons explained Orthogonal and rotation matrices below . Length and angle Besides just preserving length ... on R sup 3 sup . This is equivalent to requiring them to preserve length. Orthogonal and rotation matrices Main Orthogonal matrix Rotation matrix Every rotation maps an orthonormal basis of R sup 3 sup ..., a rotation can always be represented by a matrix mathematics matrix . Let R be a given rotation. With respect ... SO 3 . Thus every rotation can be represented uniquely by an orthogonal matrix with unit determinant. Moreover, since composition of rotations corresponds to matrix multiplication , the rotation ... rotations is a proper rotation. Group structure The rotation group is a group mathematics group ... of Euclidean space. Furthermore, the rotation group is nonabelian group nonabelian . That is, the order ... the positive x axis followed by a quarter turn around the positive y axis is a different rotation ... proper and improper rotations, is generated by reflections. Every proper rotation is the composition of two reflections, a special case of the Cartan Dieudonn theorem . Axis of rotation Every nontrivial proper rotation in 3 dimensions fixes a unique 1 dimensional linear Euclidean subspace subspace ... more details
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