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This makes tree rotations useful for rebalancing a tree. Consider the terminology of Root for the parent node of the subtrees to rotate, Pivot for the node which will become the new parent node, RS for the side of rotation and OS for the opposite side of rotation. For the root Q in the diagram above, RS is C and OS is P. Using these terms, the ...
A rotation operates on two nodes x and y, where x is the parent of y, and restructures the tree by making y be the parent of x and taking the place of x in the tree. To free up one of the child links of y and make room to link x as a child of y , this operation may also need to move one of the children of y to become a child of x .
This rotation assumes that X has a right child (or subtree). X's right child, R, becomes X's parent node and R's left child becomes X's new right child. This rotation is done to balance the tree; specifically when the right subtree of node X has a significantly (depends on the type of tree) greater height than its left subtree.
If we condense the skew entries into a vector, (x,y,z), then we produce a 90° rotation around the x-axis for (1, 0, 0), around the y-axis for (0, 1, 0), and around the z-axis for (0, 0, 1). The 180° rotations are just out of reach; for, in the limit as x → ∞ , ( x , 0, 0) does approach a 180° rotation around the x axis, and similarly for ...
Strafing in video games is a maneuver which involves moving a controlled character or entity sideways relative to the direction it is facing. This may be done for a variety of reasons, depending on the type of game; for example, in a first-person shooter, strafing would allow one to continue tracking and firing at an opponent while moving in another direction.
The rotation has two angles of rotation, one for each plane of rotation, through which points in the planes rotate. If these are ω 1 and ω 2 then all points not in the planes rotate through an angle between ω 1 and ω 2. Rotations in four dimensions about a fixed point have six degrees of freedom.
In mathematics, a rotation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x′y′-Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle .
Dungeon Keeper is a strategy video game developed by Bullfrog Productions and released by Electronic Arts in June 1997 for MS-DOS and Windows 95. In Dungeon Keeper, the player builds and manages a dungeon, protecting it from invading 'hero' characters intent on stealing accumulated treasures, killing monsters and ultimately the player's demise.
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