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Topic: Proper rotation

	NIST: Methane Symmetry Operations - Proper rotations
		Thus, proper rotations correspond to pure permutation operations, with the permuted indices related by equation (eq.
		Figure 3 illustrates: (a) an arbitrary instantaneous configuration of the methane molecule, (b) the transformation of vibrational displacement vectors required for the point group operation C
		It can be seen that the complete transformation consists of a rotation of the vibrational displacement vectors through 120° in a left-handed sense about the (1,1,1) direction, followed by a rotation of the molecule-fixed axis system (containing the equilibrium positions and attached displacement vectors) through 120° in a right-handed sense about the (1,1,1) direction.
	physics.nist.gov /Pubs/Methane/chap042.html (230 words)

	MOTOR ASSISTED SWIVEL - Patent 20050076847
		A switching mechanism attached to the tether is used to determine rotation of the tether and to activate the motor for rotation of the swivel.
		A rotation plate 110 is connected to the output end of the swivel 140 in such a manner that rotation of the rotation plate results in rotation of the output part of the swivel 140.
		The swivel rotation section 100 requires a swivel, a mechanism for connecting the swivel to a motor for driving one or both parts of the swivel, and a sensor for detecting rotation of the tether and activating the motor.
	www.freepatentsonline.com /20050076847.html (2428 words)

	Rotation group - Wikipedia, the free encyclopedia
		The composition of two rotations is a rotation, and every rotation has a unique inverse which is again a rotation.
		The group of all proper and improper rotations in n dimensions is called the orthogonal group, O(n), and the subgroup of proper rotations is called the special orthogonal group, SO(n).
		In general, the rotation group of an object is the symmetry group within the group of direct isometries; in other words, the intersection of the full symmetry group and the group of direct isometries.
	en.wikipedia.org /wiki/Rotation_group (1531 words)

	The SPORT Clinic -Throwing Mechanics
		Overstriding is a common fault that reduces proper hip rotation and detracts from the velocity of the throw.
		Rotation of the hips before the trunk is important because it serves to stretch the muscles across the trunk eventually causing these muscles to contract more forcefully.
		This action is technically called inward rotation of the humerus, this is the same movement that occurs when an extended arm is turned from a position where the palm of the hand faces the sky to where the palm faces the ground.
	www.comgri.com /sport/articles/art_throw.html (699 words)

	Tire Retread Information Bureau \| Tires from A-Z - Tire Rotation
		Irregular or uneven tire treadwear patterns may be arrested and/or reversed by proper rotation of the tire to another vehicle wheel position (and possibly reversing the direction of rotation).
		This rotation should be done when the difference in tread depth between the forward and rear drive tires is between 3 and 4/32nds.
		Rotating tires at this point will also prevent excessive slip, loss of traction, and differential fight due to mismatched tire diameters between the axles and eliminate some wear and tear on the driveline.
	www.retread.org /packet/index.cfm/ID/316.htm (424 words)

	THE SHOOTING COACH
		Proper follow-through release, where the ball is driven off of the index and middle fingertips of the shooting hand as the shooting hand snaps toward the floor, will produce rotation on the ball.
		Proper follow-through release, where the ball is driven off of the index and middle fingertips of the shooting hand as the shooting hand snaps toward the floor, will produce backspin rotation on the ball.
		As the ball is shot and rotates in the air on the way to the basket the shooter can identify, by the colored quad panels, how many full and partial rotations the ball makes from a given shooting position to the point where the ball enters the basket.
	www.shootingcoach.com /usersguide.html (2144 words)

	Cooper Tires - Rotation
		We recommend you rotate tires on front wheel drive vehicles and/or all season tires on any vehicle every 8,000 miles to equalize the rate of wear.
		You should rotate your tires earlier if signs of irregular or uneven tire wear arise and have the vehicle checked by a qualified technician to determine the cause of the wear condition.
		After rotation, adjust individual tire air pressure to the figures recommended by the vehicle manufacturer for the new locations - front or rear - as shown on the tire placard on the vehicle.
	www.coopertire.com /html/tiresafety/tiresafetytips/rotation.asp (153 words)

	Improper rotation - Wikipedia, the free encyclopedia
		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 an inversion about the origin.
		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
	en.wikipedia.org /wiki/Improper_rotation (320 words)

	Crop Rotation Adds Value to Irrigation (Site not responding. Last check: 2007-10-20)
		As the demand for water grows and available supplies are used, crop producers face increasing competition to share their common, finite water resource with residential, manufacturing and livestock sectors of the economy.
		The rotations utilized two varieties of cotton and one variety of grain sorghum planted on 40-inch rows.
		In the harshest year, 2003, their cotton-grain sorghum rotation yields were 26 percent higher than continuous cotton yields, used 19 percent less water and required less tillage to prevent blowing sand.
	agnews.tamu.edu /dailynews/stories/AGEN/Mar0706a.htm (891 words)

	Proper Motions in the Local Group
		Measuring the proper motions and geometric distances of galaxies within the Local Group is very important for our understanding of the history, present state and future of the Local Group.
		This allows a comparison of the angular rotation rate (as measured by the VLBI observations) with the known inclination and rotation speed of the HI gas disk.
		The first error indicates the statistical error from the proper motion measurements while the second error is the systematic error from the rotation model.
	www.mpifr-bonn.mpg.de /staff/abrunthaler/proper.shtml (633 words)

	AGR-91 CROPLAND ROTATIONS FOR KENTUCKY
		When the rotation has been fully established, each acre produces one-third acre of corn (for silage or grain), one-third acre of small grain (for silage or grain), one-third acre of first-year red clover, and one-third acre of second-year red clover.
		This 2-year rotation makes it possible to grow more total corn per unit of area used than in the 3-year rotation and is more suitable to fields with a less severe erosion hazard.
		Corn-Alfalfa Rotation - This rotation, while of longer duration because of the longer life of an alfalfa stand, is useful because of the high yields of high quality forage produced.
	www.ca.uky.edu /agc/pubs/agr/agr91/agr91.htm (2703 words)

	Motor assisted swivel - Patent 6886493
		activating a motor connected to at least one part of the swivel to rotate the at least one part of the swivel relative to another part of the swivel in the detected direction of rotation of the tether.
		deactivating the motor to cease rotation of the at least one part of the swivel upon detection of a cessation in rotation of the tether.
		The switching mechanism 120 is hingedly attached to the rotation plate 110 for movement in the same plane as the rotation plate 110.
	www.freepatentsonline.com /6886493.html (2639 words)

	Kiss Shoulder Pain Goodbye: Proper Technique - The Key to Preventing and Relieving Shoulder Pain
		Excessive Medial Rotation During Recovery - if the arm is rotated so that the back of the hand is rotated towards the body's mid-line and the palm is facing away from the body, shoulder muscles constrict a "free recovery" and cause unnecessary muscle contraction and pain.
		As the hand moves forward, the body rotates so that when the hand reaches the front of the front of the stroke, the opposite hip and shoulder are facing the ceiling or sky.
		Without moving the elbow, rotate the hand so the finger tips face directly towards the bottom of the pool, then move the hand and forearm backward until they reach the elbow which is held high, rotate the hand inward and forward until it reaches the starting point.
	coachesinfo.com /category/swimming/118 (7553 words)

	Tire Balancing \| Mounting \| Rotation \| Alignment \| FAQ \| Gemini Automotive Care
		Proper inflation is the single most important part of tire care.
		All season tires should be rotated in a "modified X" pattern, meaning only the tires being moved to the drive axle are crossed to the opposite side of the vehicle.
		Proper alignment is necessary for even tread wear and precise steering.
	www.geminicarcare.com /faqs/balancing.html (756 words)

	Cooper Tires - Proper Pressure
		Proper inflation pressure for your tires may be found in the vehicle owner's manual or the vehicle's tire information placard.
		One of the most important factors in tire care is maintaining proper inflation pressure, regardless of the inflation gas.
		Tire inflation should always be checked and adjusted to the proper inflation pressure on a regular basis (at least monthly and before long trips), regardless of the inflation gas, to provide optimum tire performance.
	www.coopertire.com /html/tiresafety/tiresafetytips/properpressure.asp (411 words)

	Teaching Turn Out by Jennifer Brewer (Site not responding. Last check: 2007-10-20)
		This “flat” turnout, based on 180 degrees of rotation, is the image that dancers hold in their minds as they practice.
		Both strategies cause rotation at the knee and ankle, which Kimball says is a recipe for a wide range of injuries, including strained arches, ligament and cartilage damage, misaligned patellae (knee caps) and lower back pain.
		Rotate the legs from the hip, leaving the toes in the air.
	www.dancetheatreonmain.com /teaching_turn.htm (2498 words)

	Greenhouse Gas Mitigation Program: Regional Reports: Alberta
		Rotating crops isn't a new concept, but it takes planning to manage the right sequence for today's farms.
		Diverse crop rotations that include pulse crops (pea and lentil), oilseeds, winter cereals and warm-season forages can provide a range of dryland and irrigation farming benefits, says a southern Alberta soil conservation specialists.
		A typical rotation starting on the west side of a field might include 40 acres of wheat, 40 acres of peas, 40 acres of chemfallow and 40 acres of canola.
	www.soilcc.ca /ggmp/gg_reports/gg_repAlberta2.html (1052 words)

	BT Auto Sales - Common Tire Questions (Site not responding. Last check: 2007-10-20)
		While many people are capable of rotating their own tires, it is quick and easy to let a professional do it for you.
		Proper repair procedure will include dismounting the tire from the wheel for a thorough inspection to check for damage, and the use of a patch and plug to repair any punctures that fall within the limits and guidelines for repair.
		Leaking from the bead seating area (corrosive buildup on the wheels which prevents a proper seal between the wheel flange and the tire beads, bead seating area damage from accidental mounting or dismounting injury, foreign material between the rim flange area and the tire bead seating area, bent rim flange).
	www.btautosales.com /wheelshop-tireinfo.shtml (2220 words)

	Tire Rotation - Discount Tire Co.
		Rotating your tires periodically is an essential part of tire maintenance.
		The main purpose of regularly rotating tires is to achieve more uniform wear for all tires on the vehicle.
		If no rotation period or pattern is to be found in your owner's documentation, rotate your tires at least every 6,000 miles and follow one of the patterns suggested below.
	www.discounttire.com /dtcs/infoTireRotation.dos (307 words)

	Proper Motions in the Local Group
		Measuring the proper motions and geometric distances of galaxies within the Local Group is very important for our understanding of the history, present state and future of the Local Group.
		This allows a comparison of the angular rotation rate (as measured by the VLBI observations) with the known inclination and rotation speed of the HI gas disk.
		The first error indicates the statistical error from the proper motion measurements while the second error is the systematic error from the rotation model.
	www.jive.nl /~brunthal/proper.shtml (621 words)

	ARS \| Publication request: Yield and Economic Responses of Peanut to Crop Rotation Sequence (Site not responding. Last check: 2007-10-20)
		Proper farm planning and crop rotation response data are two essential elements that are prerequisite for farmers to adequately assess the economic and agronomic impacts of potentially changing crop rotation sequences.
		Non-irrigated yields in CPC and MPM rotation sequences were 3512 and 3469 kg ha-1, respectively and yields in CCP and CMP rotation sequences were 4252 and 4201 kg ha-1, respectively.
		Irrigated yields in CPC and MPM rotation sequences were 4714 and 4669 kg ha-1, respectively and yields in CCP and CMP rotation sequences were 5295 and 5365 kg ha-1, respectively.
	ars.usda.gov /research/publications/Publications.htm?seq_no_115=178501 (378 words)

	Proper Food Storage
		This is the third of a series showing readers the cost effectiveness of using a comprehensive food rotation labeling system in their kitchen.
		Food rotation is critical when storing food products because improperly placed items can result in food spoilage, which in turn requires additional purchases that can deplete a company’s resources.
		The use of an HACCP system is vital because statistics from the General Accounting Office show that there are between 6.5 and 81 million cases of food borne illnesses a year.
	www.daymark.biz /Default.aspx?tabid=130 (408 words)

	ROCKCRAWLER.com - Advance Adapters Dana 300 Rotation Kit
		The Rotation kit includes the adapter ring, longer transfer case input shaft, a sealed input shaft bearing, gasket and new bolts.
		Advance Adapters advertises rotation to 2 or 10 degrees, but they are referring to rotation from an absolutely level position, not rotation from stock position.
		In my case, to utilize the first locating hole in the adapter ring, (which would be the second in the new version) I had to grind material off the right, rear, upper corner of the transmission case and the inside of the shifter mounting portion of the aluminum front output bearing retainer.
	www.rockcrawler.com /techreports/aa_d300_rotation_kit/index.asp (1464 words)

	Advantage Basketball Camps
		This is obtained when the feet are properly placed, the shoulders are square to the basket, and the shooter's body is in proper relation to placement of their feet.
		Proper rotation is what will cause the basketball (providing the ball has not been pushed and is dropping from a proper angle) to grab the backboard or rim and drop through the hoop rather than bounce out.
		Oblong ball rotation: This is where the ball will have an oblong or sideways rotation to it.
	www.advantagebasketball.com /shootingcamp.htm (2635 words)

	Viktor's Home Page: Spinors in Three Dimensions
		SO(3) is the group of proper rotations in 3D space.
		What we find is that the complex matrix used to represent a rotation will be a unitary complex matrix (unitary meaning that when multiplied by its own conjugate transpose, the result is the unit matrix) of determinant +1.
		These matrices can be used to represent a rotation in 3D space; i.e., a coordinate transformation that corresponds with a proper rotation of the coordinate system.
	www.vttoth.com /spinors.htm (605 words)

	Autopedia®: Tire Conditions
		After rotation, adjust individual tire air pressure to the figures recommended by the vehicle manufacturer for the new locations -- front or rear -- as shown on the tire placard in the vehicle.
		The purpose of regularly rotating tires is to achieve more uniform wear for all tires on a vehicle.
		However, rotate your tires earlier if signs of irregular or uneven tire wear arise, and have the vehicle checked by a qualified technician to determine the cause of the wear problem.
	www.autopedia.com /TireSchool/conditions.html (562 words)

	Rotation powers swing (Site not responding. Last check: 2007-10-20)
		If the stance is too wide, it will restrict body rotation and tend to cause a sliding motion back and through the ball.
		A good way to work on balance and body rotation is to begin with a wedge or 9-iron.
		As your body rotates properly, you'll feel the swing is easier and the tendency is to hit fairly consistent shots.
	www.azcentral.com /community/scottsdale/articles/0409sr-teetogreen09Z8.html (313 words)

	Untitled Document
		If a call out of rotation is conventional, the provisions of Law 30, Law 31, and Law 32 shall apply to the denominations specified, rather than the denominations named.
		A double or redouble out of rotation may be accepted at the option of the opponent next in rotation (see Law 29), except that an inadmissible double or redouble may never be accepted (see Law 35A if the opponent next in rotation nevertheless does call).
		If a double or redouble out of rotation has been made when it was the offender's partner's turn to call, (penalty) the offender's partner must pass whenever it is his turn to call (see Law 23 when the pass damages the non-offending side).
	web2.acbl.org /laws/auction.htm (3259 words)

	Proper Tire Inflation&Tire Rotation
		Proper tire inflation is shown on the vehicle's tire placard.
		Once a correct tire size is mounted on the vehicle, proper inflation is the most important requirement for tire mileage, safety, and performance.
		Correct tire inflation provides proper sidewall deflection and safe operating temperatures for the tires.
	www.stausaonline.com /tire-inflation.html (229 words)

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