Search results
Results from the WOW.Com Content Network
In algebraic geometry, flips and flops are codimension-2 surgery operations arising in the minimal model program, given by blowing up along a relative canonical ring. In dimension 3 flips are used to construct minimal models, and any two birationally equivalent minimal models are connected by a sequence of flops.
Examples of flips in dimension 1 (top-right), 2 (top-left and central row), and 3 (bottom row). In mathematics, a flip graph is a graph whose vertices are combinatorial or geometric objects, and whose edges link two of these objects when they can
The flip distance between two triangulations is the minimum number of flips needed to transform one triangulation into another. [1] It can also be described as the shortest path distance in a flip graph , a graph that has a vertex for each triangulation and an edge for each flip between two triangulations. [ 1 ]
Pancake sorting is the mathematical problem of sorting a disordered stack of pancakes in order of size when a spatula can be inserted at any point in the stack and used to flip all pancakes above it. A pancake number is the minimum number of flips required for a given number of
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 .
In particular, the proportion of heads after n flips will almost surely converge to 1 ⁄ 2 as n approaches infinity. Although the proportion of heads (and tails) approaches 1 ⁄ 2, almost surely the absolute difference in the number of heads and tails will become large as the number of flips becomes large. That is, the probability that the ...
The flip graphs of a pentagon and a hexagon, corresponding to rotations of three-node and four-node binary trees. Given a family of triangulations of some geometric object, a flip is an operation that transforms one triangulation to another by removing an edge between two triangles and adding the opposite diagonal to the resulting quadrilateral.
One of Shokurov's ideas formed a basis for a paper titled 3-fold log flips where the existence of three-dimensional flips (first proved by Shigefumi Mori) was established in a more general log setting. The inductive method and the singularity theory of log pairs developed in the framework of that paper allowed most of the paper's results to be ...