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...

natural density makes this intuition precise for many, but not all, subsets of the naturals (see Schnirelmann density, which is similar to natural density but...

probability density function of a random variable Lebesgue's density theorem Schnirelmann density Natural density (also called asymptotic density) Dirichlet...

107-108 Inscribed square problem Schnirelmann density Schnirelmann's constant Schnirelmann's theorem Schnirelmann, L.G. (1930). "On the additive properties...

theorem Taxicab number Generalized taxicab number Cabtaxi number Schnirelmann density Sumset Landau–Ramanujan constant Sierpinski number Seventeen or Bust...

from the fact that sum-free sequences are small that they have zero Schnirelmann density; that is, if A ( x ) {\displaystyle A(x)} is defined to be the number...

including Mann's theorem that the Schnirelmann density of a sumset is at least the sum of the Schnirelmann densities and Kneser's theorem on the structure...

computable constant; see Schnirelmann density. Schnirelmann's constant is the lowest number C with this property. Schnirelmann himself obtained C < 800000...

Mann according to which the Schnirelmann density of a sum of two sequences is at least the sum of their Schnirelmann densities, unless their sum consists...

Ergodic Ramsey theory Problems involving arithmetic progressions Schnirelmann density Shapley–Folkman lemma Sidon set Sum-free set Restricted sumset Sum-product...

example Freiman's theorem. Restricted sumset Sidon set Sum-free set Schnirelmann density Shapley–Folkman lemma X + Y sorting Henry Mann (1976). Addition Theorems:...

ISBN 978-0-486-40026-6. Has an elementary proof of the existence of G(k) using Schnirelmann density. Nathanson, Melvyn B. (1996). Additive Number Theory: The Classical...

differential equations Lev Schnirelmann, developed the Lusternik–Schnirelmann category in topology and Schnirelmann density of numbers Igor Shafarevich...

contributions to computer sciences Lev Schnirelmann, developed the Lusternik–Schnirelmann category in topology and Schnirelmann density of numbers Moses Schönfinkel...

principle in optimal control Lev Schnirelmann, developed the Lusternik–Schnirelmann category in topology and Schnirelmann density of numbers Moses Schönfinkel...

Mann's theorem on Schnirelmann density. If C {\displaystyle C} is a subset of N {\displaystyle \mathbb {N} } , the lower asymptotic density of C {\displaystyle...

influential). An elementary proof of the Hilbert-Waring theorem; see also Schnirelmann density. The Linnik ergodic method, see Linnik (1968), which allowed him...

zero Natural density Negligible set Nowhere dense set Null set, conull set Partition regular Piecewise syndetic set Schnirelmann density Small set (combinatorics)...

the 2006 paper by Katz and Rudyak below), the link with the Lusternik–Schnirelmann category has emerged. The existence of such a link can be thought of...

students. In additive number theory, Mann proved the Schnirelmann–Landau conjecture on the asymptotic density of sumsets in 1942. By doing so he established...

there were still Armenian villages in the region". Historian Victor Schnirelmann writes that "In the mid-18th century, … Turkic tribes … gained access...

Norio Iwase (1 November 1998). "Ganea's Conjecture on Lusternik-Schnirelmann Category". ResearchGate. Tao, Terence (2015). "The Erdős discrepancy...