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When rotations and reflections of positions are considered the same, there are only 26, 830 possible games.
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When and rotations
When considering only the state of the board, and after taking into account board symmetries ( i. e. rotations and reflections ), there are only 138 terminal board positions.
When crop rotations are managed so that clover does not recur at intervals shorter than eight years, it grows with much of its pristine vigor.
For example, a Givens rotation affects only two rows of a matrix it multiplies, changing a full multiplication of order n < sup > 3 </ sup > to a much more efficient order n. When uses of these reflections and rotations introduce zeros in a matrix, the space vacated is enough to store sufficient data to reproduce the transform, and to do so robustly.
When composing several rotations on a computer, rounding errors necessarily accumulate.
When only rotations of the spatial are considered, the components of contravariant and covariant vectors behave in the same way.
When rotations and reflections are not considered to be distinct shapes, there are 35 different free hexominoes.
When rotations are also considered distinct, there are 216 fixed hexominoes.
When Euler Angles are defined as a sequence of rotations all the solutions can be valid, but there will be only one inside the angle ranges.
When the intrinsic rotations equivalence is used to name the possible conventions of Euler Angles the names are like Z-X ’- Z ’’.
When the extrinsic rotations equivalence is used the given angles are inverted respect the former, meaning that the first angle is the intrinsic rotation and the last one the precession.
When describing the intrinsic rotations in the ( e ) reference frame we must of course transform the matrices used to represent the rotations.
When students then encounter analytic geometry, the ideas of coordinate rotations and reflections follow easily.
When Slerp is applied to unit quaternions, the quaternion path maps to a path through 3D rotations in a standard way.
When the initial end point is the identity quaternion, Slerp gives a segment of a one-parameter subgroup of both the Lie group of 3D rotations, SO ( 3 ), and its universal covering group of unit quaternions, S < sup > 3 </ sup >.
When rotations and reflections are not considered to be distinct shapes, there are only two different free trominoes: " I " and " L " ( the " L " shape is also called " V ").
When rotations are also considered distinct, there are six fixed trominoes: two I and four L shapes.
When the person says " Stop " the person will then count the number of ticks drawn, and this will be the amount of rotations used per round.
When rotations and reflections are not considered to be distinct shapes, there are 108 different free heptominoes.
When rotations are also considered distinct, there are 760 fixed heptominoes.
When rotations and reflections are not considered to be distinct shapes, there are 1, 285 different free nonominoes.
When rotations are also considered distinct, there are 9, 910 fixed nonominoes.
When Meents hit the jump his truck completed one and a half rotations, coming just short of landing the first ever Monster truck double backflip.
When the dimension of the lattice rises to four or more, rotations need no longer be planar ; the 2D proof is inadequate.
When and reflections
When light makes multiple reflections between two or more parallel surfaces, the multiple beams of light generally interfere with one another, resulting in net transmission and reflection amplitudes that depend on the light's wavelength.
When performed manually, correction may consist of simply converting the red area of pupils to grayscale ( desaturating ), leaving surface reflections and highlights intact.
When a crystal is mounted and exposed to an intense beam of X-rays, it scatters the X-rays into a pattern of spots or reflections that can be observed on a screen behind the crystal.
When reflections are taken into account there are an infinite number of paths that a wave can take.
When the color is represented as RGB values, as often is the case in computer graphics, this equation is typically modeled separately for R, G and B intensities, allowing different reflections constants and for the different color channels.
" When a representative of Tit-Bits magazine interrupts his reflections to ask for the publication rights to his memoirs, Louis suddenly realizes he left his incriminating manuscript in his cell.
When the theory was put on an organised basis around 1950 ( with the definitions reduced to homotopy theory ) it became clear that the most fundamental characteristic classes known at that time ( the Stiefel-Whitney class, the Chern class, and the Pontryagin classes ) were reflections of the classical linear groups and their maximal torus structure.
When reflections are considered distinct, there are 60 one-sided hexominoes.
When light strikes the surface of a ( non-metallic ) material it bounces off in all directions due to multiple reflections by the microscopic irregularities inside the material ( e. g. the grain boundaries of a polycrystalline material, or the cell or fiber boundaries of an organic material ) and by its surface, if it is rough.
When the walls are only a few wavelengths apart, as arises for example with the thin films used in the manufacture of optical coatings, the reflections tend to combine coherently, resulting in interference.
When reflections arrive a little bit later, they do not enhance the loudness inside the critical bands in such a strong way, but the directional cues become unstable, because there is a mix of sound of several reflection directions.
When reflections are considered distinct, there are 196 one-sided heptominoes.
When reflections are considered distinct, there are 2, 500 one-sided nonominoes.
When working over finite fields, one defines a " reflection " as a map that fixes a hyperplane ( otherwise for example there would be no reflections in characteristic 2, as so reflections are the identity ).
When and positions
When instead the wild type trait is expressed, the positions are said to belong to distinct cistrons / genes.
When occupying positions in the South Dublin Union and Jacob's factory, the rebels got involved in physical confrontations with civilians trying to prevent them from taking over the buildings.
When play begins, it is common for the midfield and defensive positions to take a diagonal approach.
When Hindal withdrew from protecting the rear of Humayun's troops, Sher Shah's troop quickly reclaimed these positions, leaving Humayun surrounded.
When the entourage reached Rome in the autumn of 219, Comazon and other allies of Julia Maesa and Elagabalus were given powerful and lucrative positions, to the outrage of many senators who did not consider them worthy of such privileges.
When placed in benzylic or allylic positions, the C-H bond strength is decreased, and the reactivity of the methyl group increases.
When Franco ordered Paraguayan troops to abandon the advanced positions in the Chaco that they had held since the 1935 truce, the army revolted in August 1937 and returned the Liberals to power.
When Cranmer's promotion became known in London, it caused great surprise as Cranmer had previously held only minor positions in the Church.
When he returned to Poland he began applying for legal positions with little success.
When rehearsing drill, positions and maneuvers are usually learned without playing the music simultaneously – a common technique for learning drill is to have members sing their parts or march to a recording produced during a music rehearsal.
When learning positions for drill, an American football field may be divided into a 5-yard grid, with the yard lines serving as one set of guides.
When a dielectric is placed in an electric field, electric charges do not flow through the material as they do in a conductor, but only slightly shift from their average equilibrium positions causing dielectric polarization.
When copied to a digit, the three bits were placed in bit positions 0-3-4.
When the marriage became public knowledge, Edward placed many of his new queen's family in powerful positions that Warwick had hoped to control.
When the switches appear to be in position 001, the observer cannot tell if that is the " real " position 001, or a transitional state between two other positions.
When bargaining, players often bid less than they are prepared to pay in the hope of improving their positions.
When they reached Super Six Four, Gordon and Shughart extracted the pilot, Chief Warrant Officer Mike Durant and the other crew members from the aircraft, and established defensive positions around the crash site.
When the approximate positions for the boundaries of the property have been located a traverse is run around the property.
When these organisms are in their fully matured state they need other adaptations to maintain their positions in the water column.
When the chips are down they all default to power positions and self-protection and status and the one woman who was a challenge to them, with all with her wit and intellect, they are all gleeful and relieved to see crushed.
When the Conservatives returned to power, in a coalition with the Liberal Unionists, in 1895, Balfour once again assumed the positions of Leader of the House and First Lord of the Treasury.
When The Atlantic Wire first launched in 2009, it curated op-eds from across the media spectrum and summarized significant positions in each debate.
When these troops pointed cannons at the Ellis store and other positions, Doc Scurlock and his men broke from their positions, as did Chavez's cowboys, leaving those left in the McSween house to their fate.
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