many-dimensional
11Clustering high-dimensional data — is the cluster analysis of data with anywhere from a few dozen to many thousands of dimensions. Such high dimensional data spaces are often encountered in areas such as medicine, where DNA microarray technology can produce a large number of… …
12High-dimensional statistics — High Dimensional StatisticsHigh dimensional statistics is the branch of mathematical and applied multivariate statistics aimed at treatment of statisical data whose dimension is so large that it is comparable in magnitude to sample size and may… …
13Two-dimensional gas — A two dimensional gas is a collection of N objects which are constrained to move in a planar or other two dimensional space in a gaseous state. The objects can be: ideal gas elements such as rigid disks undergoing elastic collisions; elementary… …
14n-dimensional sequential move puzzle — Five dimensional 25 puzzle partial cutaway demonstrating that even with the minimum size in 5 D the puzzle is far from trivial. The 4 D nature of the stickers is clearly visible in this screen shot. The Rubik s cube is the original and best known …
15N-dimensional sequential move puzzles — The Rubik s cube is the original and most well known of the three dimensional sequential move puzzles. There have been many virtual implementations of this puzzle in software. It is a natural extension to create sequential move puzzles in more… …
16Three-dimensional space — is a geometric model of the physical universe in which we live. The three dimensions are commonly called length, width, and depth (or height), although any three mutually perpendicular directions can serve as the three dimensions. A three… …
17N-dimensional space — In mathematics, an n dimensional space is a topological space whose dimension is n (where n is a fixed natural number). The archetypical example is n dimensional Euclidean space, which describes Euclidean geometry in n dimensions.Many familiar… …
18One-Dimensional Man — Part of a series on the Frankfurt School …
19Low-dimensional topology — In mathematics, low dimensional topology is the branch of topology that studies manifolds of four or fewer dimensions. Representative topics are the structure theory of 3 manifolds and 4 manifolds, knot theory, and braid groups. It can be… …
20There is no infinite-dimensional Lebesgue measure — In mathematics, it is a theorem that there is no analogue of Lebesgue measure on an infinite dimensional space. This fact forces mathematicians studying measure theory on infinite dimensional spaces to use other kinds of measures: often, the… …
