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The growth function, also called the shatter coefficient or the shattering number, measures the richness of a set family or class of function. It is especially used in the context of statistical learning theory , where it is used to study properties of statistical learning methods.
Their enterprise-side product, HackerRank for Work, is a subscription service that aims to help companies source, screen (CodePair), and hire engineers and other technical employees. [12] The product is intended to allow technical recruiters to use programming challenges to test candidates on their specific programming skills and better ...
The Cremona group in 2 dimensions [ edit ] In two dimensions, Max Noether and Guido Castelnuovo showed that the complex Cremona group is generated by the standard quadratic transformation, along with P G L ( 3 , k ) {\displaystyle \mathrm {PGL} (3,k)} , though there was some controversy about whether their proofs were correct, and Gizatullin ...
The growth rate of a group is a well-defined notion from asymptotic analysis. To say that a finitely generated group has polynomial growth means the number of elements of length at most n (relative to a symmetric generating set) is bounded above by a polynomial function p(n). The order of growth is then the least degree of any such polynomial ...
The first has two parallel reflection lines, the second two 2-fold gyrations, and the last has one mirror and one 2-fold gyration. In one dimension, the infinite dihedral group is seen in the symmetry of an apeirogon alternating two edge lengths, containing reflection points at the center of each edge.
Covariant return types have been (partially) allowed in the Java language since the release of JDK5.0, [2] so the following example wouldn't compile on a previous release: // Classes used as return types: class A { } class B extends A { } // "Class B is narrower than class A" // Classes demonstrating method overriding: class C { A getFoo ...
Clustering high-dimensional data is the cluster analysis of data with anywhere from a few dozen to many thousands of dimensions.Such high-dimensional spaces of data are often encountered in areas such as medicine, where DNA microarray technology can produce many measurements at once, and the clustering of text documents, where, if a word-frequency vector is used, the number of dimensions ...
Competitive programming or sport programming is a mind sport involving participants trying to program according to provided specifications. The contests are usually held over the Internet or a local network. Competitive programming is recognized and supported by several multinational software and Internet companies, such as Google, [1] [2] and ...