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asymptotic density

См. также в других словарях:

  • Density (disambiguation) — Density and dense usually refer to a measure of how much of some entity is within a fixed amount of space. Types of density include: In physics, density of mass: Density, mass per volume Area density or surface density, mass over a (two… …   Wikipedia

  • Natural density — In number theory, asymptotic density (or natural density or arithmetic density) is one of the possibilities to measure how large a subset of the set of natural numbers is. Intuitively, we think that there are more positive integers than perfect… …   Wikipedia

  • Schnirelmann density — In additive number theory, the Schnirelmann density of a sequence of numbers is a way to measure how dense the sequence is. It is named after Russian mathematician L.G. Schnirelmann, who was the first to study it. Contents 1 Definition 2… …   Wikipedia

  • Multivariate kernel density estimation — Kernel density estimation is a nonparametric technique for density estimation i.e., estimation of probability density functions, which is one of the fundamental questions in statistics. It can be viewed as a generalisation of histogram density… …   Wikipedia

  • Chebotarev's density theorem — in algebraic number theory describes statistically the splitting of primes in a given Galois extension K of the field Q of rational numbers. Generally speaking, a prime integer will factor into several ideal primes in the ring of algebraic… …   Wikipedia

  • Kernel density estimation — of 100 normally distributed random numbers using different smoothing bandwidths. In statistics, kernel density estimation is a non parametric way of estimating the probability density function of a random variable. Kernel density estimation is a… …   Wikipedia

  • Electronic density — In quantum mechanics, and in particular quantum chemistry, the electronic density is a probabilistic measure of the number of electrons occupying a given element of space. It is a scalar quantity depending upon three spatial variables and is… …   Wikipedia

  • Sphere packing — In mathematics, sphere packing problems are problems concerning arrangements of non overlapping identical spheres which fill a space. Usually the space involved is three dimensional Euclidean space. However, sphere packing problems can be… …   Wikipedia

  • Polignac's conjecture — In number theory, Polignac s conjecture was made by Alphonse de Polignac in 1849 and states: For any positive even number n, there are infinitely many prime gaps of size n. In other words: There are infinitely many cases of two consecutive prime… …   Wikipedia

  • Manjul Bhargava — Born August 8, 1974 (1974 08 08) (age 37) Hamilton, Ontario Nationality Canadian American …   Wikipedia

  • Problems involving arithmetic progressions — are of interest in number theory,cite journal|author=Samuel S. Wagstaff, Jr.|authorlink= url= title=Some Questions About Arithmetic Progressions journal=The American Mathematical Monthly volume=86|issue=7|pages=579–582|year=1979… …   Wikipedia

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