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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 ...
The Build Engine is a first-person shooter engine created by Ken Silverman, author of Ken's Labyrinth, for 3D Realms.Like the Doom engine, the Build Engine represents its world on a two-dimensional grid using closed 2D shapes called sectors, and uses simple flat objects called sprites to populate the world geometry with objects.
Aerial render of the Build The Earth project on a modified Airocean World Map. Build the Earth was created by YouTuber PippenFTS in March 2020 as a collaborative effort to recreate Earth in the video game Minecraft. [1] During the COVID-19 lockdowns, the server aimed to provide players with the opportunity to virtually experience and construct ...
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 .
In computer science, binary space partitioning (BSP) is a method for space partitioning which recursively subdivides a Euclidean space into two convex sets by using hyperplanes as partitions. This process of subdividing gives rise to a representation of objects within the space in the form of a tree data structure known as a BSP tree .
In a binary search tree, a right rotation is the movement of a node, X, down to the right.This rotation assumes that X has a left child (or subtree). X's left child, R, becomes X's parent node and R's right child becomes X's new left child.
If a rotation of Minkowski space is in a space-like plane, then this rotation is the same as a spatial rotation in Euclidean space. By contrast, a rotation in a plane spanned by a space-like dimension and a time-like dimension is a hyperbolic rotation , and if this plane contains the time axis of the reference frame, is called a "Lorentz boost".
Thus we can build an n × n rotation matrix by starting with a 2 × 2 matrix, aiming its fixed axis on S 2 (the ordinary sphere in three-dimensional space), aiming the resulting rotation on S 3, and so on up through S n−1. A point on S n can be selected using n numbers, so we again have 1 / 2 n(n − 1) numbers to describe any n × n ...