In addition to the balancing described above for insertions, if the balance factor for the tree is 2 and that of the left subtree is 0, a right rotation must be performed on P. The mirror of this case is also necessary.

In the case of plane or spatial coordinates, datum transformation takes the form of a similarity or Helmert transformation, consisting of a rotation and scaling operation in addition to a simple translation.

However, the most significant improvement was the addition of wall translation, rotation and level scripting.

In addition, it is important when applying significant force to ensure that the fixed jaw " leads " the rotation ( it follows its tip ) and the movable jaw " trails " the rotation, leaving its tip behind, so to speak.

If the display system supports rotation and scaling in addition to scrolling — an effect popularly known as Mode 7 — changing the rotation and scaling factors can draw a projection of a plane ( as in F-Zero and Super Mario Kart ) or can warp the playfield to create an extra challenge factor ( e. g., Lockjaw: The Overdose ).

In addition, Nickelodeon had removed the half-hour edits of the 1981 episodes of You Can't Do That on Television from its daily time slot rotation, along with the 1982 " Cosmetics " episode.

Ball joints often allow more liberal movement than a cut, such as the figure's head being able to tilt in addition to a cut's strict vertical rotation.

A still to be implemented aid for people with disabilities is the addition of a guide wheel at the centre of rotation of a trolley with 4 caster wheels.

Finally, with the addition of the Big Ten and Pac-10 conferences to the new Bowl Championship Series, the Fiesta Bowl became a permanent fixture in the four year BCS National Championship Game rotation.

In addition, the blades of self-powered push mowers ( gasoline or electric ) can injure a careless or inattentive operator ; as such, many come equipped with a dead man's switch to immediately stop the blade rotation when it is not being operated.

In addition, unlike other positions, the DH is " locked " into the batting order and no multiple substitution may be made to alter the batting rotation of the DH.

In addition to these direct pathways, which drive the velocity of eye rotation, there is an indirect pathway that builds up the position signal needed to prevent the eye from rolling back to center when the head stops moving.

In addition, the rotation of the Earth needs to be taken into account.

In addition to Morgan, included in the deal to the Reds were César Gerónimo ( who became their regular center fielder ) and pitcher Jack Billingham ( who soon joined the Reds pitching rotation as a leading starter ), veteran infielder Denis Menke, and minor league outfielder Ed Armbrister.

Another description is in terms of ordinary addition, where only numbers between 0 and 1 are allowed ( with 1 corresponding to a full rotation ).

In addition to the many permanent exhibits, Pacific Science Center has offered a constant rotation of traveling exhibits, including notable exhibits such as " China: 7, 000 Years of Discovery ", " Titanic: the Artifacts Exhibit ", " Discovering the Dead Sea Scrolls ", " Harry Potter The Exhibition ", " Star Wars: Where Science Meets Imagination ", " Design Zone ", and currently " Tutankhamun: The Golden King and the Great Pharaohs ", which will remain at the Science Center until January 6, 2013.

In addition to the many permanent exhibits, the Lawrence Hall of Science features a constant rotation of traveling exhibits.

C < sub > nh </ sub > is C < sub > n </ sub > with the addition of a mirror ( reflection ) plane perpendicular to the axis of rotation.

C < sub > nv </ sub > is C < sub > n </ sub > with the addition of a mirror plane parallel to the axis of rotation.

T < sub > d </ sub > includes improper rotation operations, T excludes improper rotation operations, and T < sub > h </ sub > is T with the addition of an inversion.

However, the addition of each intermediate gear reverses the direction of rotation of the final gear.

is the argument of z — i. e., the angle between the x axis and the vector z measured counterclockwise and in radians — which is defined up to addition of 2π.

However, some liquid crystals are biaxial nematics, meaning that in addition to orienting their long axis, they also orient along a secondary axis.

In addition to the tendency to move a body in the direction of its application, a force can also tend to rotate a body about an axis.

In addition to the Moon and Sun, the other planets also cause a small movement of Earth's axis in inertial space, making the contrast in the terms lunisolar versus planetary misleading, so in 2006 the International Astronomical Union recommended that the dominant component be renamed the precession of the equator and the minor component be renamed precession of the ecliptic, but their combination is still named general precession.

In addition, the Arche is placed so that it forms a secondary axe ( axis ) with the two highest buildings in Paris, the Tour Eiffel and the Tour Montparnasse.

In addition, the designs of traditional buildings, especially temples, usually imitate the mythical image of the axis mundi joining the different cosmic levels.

In addition, moment of inertia should not be confused with polar moment of inertia ( more specifically, polar moment of inertia of area ), which is a measure of an object's ability to resist torsion ( twisting ) only, although, mathematically, they are similar: if the solid for which the moment of inertia is being calculated has uniform thickness in the direction of the rotating axis, and also has uniform mass density, the difference between the two types of moments of inertia is a factor of mass per unit area.

Douglas Adams, in the last book of the Hitchhiker's Guide to the Galaxy series, Mostly Harmless, uses the idea of probability as an extra axis in addition to the classical four dimensions of space and time similar to the many-worlds interpretation of quantum physics.

In addition to physical distance, the level of intimacy between conversants can be determined by " socio-petal socio-fugal axis ", or the " angle formed by the axis of the conversants ' shoulders ".

Also, in addition to the joystick ports having a different connector than used on the " game adapter " ISA card for PC compatibles, they required joysticks that had a different electrical resistance range in their X / Y axis controllers, necessitating the use of PCjr-specific joysticks ( or generic joysticks that had a dual-mode switch ).

In addition to relative position, the IMUs contain accelerometers which can measure acceleration in all axis.

In addition, the angle between Earth's rotational axis and the normal to the plane of its orbit ( obliquity ) oscillates between 22. 1 and 24. 5 degrees on a 41, 000-year cycle.

These symbols are the same as used in point groups, with the addition of glide planes and screw axis, described above.

In addition to the magnitude of rotational angular momentum J and its component on an axis fixed in space M ( as for linear molecules ), there is a third rotational quantum number K which defines the component of rotational angular momentum along the molecular axis which turns in space.

D < sub > nh </ sub > has, in addition, a mirror plane perpendicular to the n-fold axis.

D < sub > nd </ sub > has, in addition to the elements of D < sub > n </ sub >, mirror planes parallel to the n-fold axis.

In addition to the PR prolongation, individuals with a primum ASD have a left axis deviation of the QRS complex while those with a secundum ASD have a right axis deviation of the QRS complex.

Present at the scene -- in addition to the dead man, who was indeed Louis Thor -- had been Thor's partner Bill Blake, and Antony Rose, an advertising agency executive who handled the zing account.

In addition, the 1952 study collected comparable data from 4,585 students at ten other colleges and universities scattered across the country: Dartmouth, Harvard, Yale, Wesleyan, North Carolina, Fisk, Texas, University of California at Los Angeles, Wayne, and Michigan.

In addition, would not the young female public of Washington be afforded a greater degree of protection at night when they are on the streets if they were accompanied by a dog on a leash??

In addition to expenditures on the Warwick plant, we have invested approximately $1,961,000 for machinery and equipment at Cranston, and for new machinery, plant and equipment at Leesona-Holt, Limited.

In addition to these activities, the NAEBM, with headquarters at 420 Lexington Avenue, New York City, as well as other associations and individual manufacturers, provide and distribute films, booklets, and public services in regard to proper boat handling and safety afloat.

Multiplication, subtraction, and addition can then be accomplished as they appear in the equation by starting at the left end of the equation and working toward the right.

During the poetically sterile years he was writing novels at the rate of almost one a year and was, in addition, burdened with bad health ( he spent six months in bed in 1881, too ill to do more than work slowly and painfully at A Laodicean ).

In the new process impurities present in the solvent ( benzene ), the monomer, and in the reaction system which would cause deactivation of propagation centers, are rendered inactive prior to polymerization by gradual addition of initiator, a mixture of butyl-lithium and telomeric styryl-lithium, at a temperature low enough to suppress chain growth.

The foaming can be accomplished at some future time at a different location by the addition of the correct proportion of catalyst in solution.

In addition, Dr. Clark has studied at Rhode Island State College and Massachusetts Institute of Technology.

In addition, Mr. and Mrs. Allan Goodman are controllers, Mrs. Paul Stone is treasurer and Mrs. Albert Quell is in charge of admittance for the dancing at 9 P.m..

Popularity of the song increased greatly following the September 11, 2001 attacks ; at some sporting events it was sung in addition to the traditional singing of the national anthem.

Unlike the simple counting board used in elementary schools, very efficient suanpan techniques have been developed to do multiplication, division, addition, subtraction, square root and cube root operations at high speed.

In addition, Ampère used his access to the latest mathematical books to begin teaching himself advanced mathematics at age 12.

In addition, scholarship programs, established at the time of the Golden Jubilee to give assistance to needy students, were progressively expanded.

* Melanchrus-he was overthrown sometime between 612 BC and 609 BC by a faction that, in addition to the brothers of Alcaeus, included Pittacus ( later renowned as one of the Seven Sages of Greece ); Alcaeus at that time was too young to be actively involved ;

In addition to Changemaker Central, the Freshman Year Residential Experience ( FYRE ) and the Greek community ( Greek Life ) at Arizona State University have been important in binding students to the university, and providing social outlets.

There is a relatively small addition of flow in the Indian Ocean, with the transport south of Tasmania reaching around 147 Sv, at which point the current is probably the largest on the planet.

In addition, after several years at the IHÉS Grothendieck seemed to cast about for new intellectual interests.

With the relaxation of the rule, in England at least, that anthems should be only in English, the repertoire has been greatly enhanced by the addition of many works from the Latin repertoire.

In addition, in 889, Arnulf supported the claim of Louis the Blind to the kingdom of Provence, after receiving a personal appeal from Louis ’ mother, Ermengard, who came to see Arnulf at Forchheim in May 889.