Ramsey theory — This article provides an introduction. For a more detailed and technical article, see Ramsey s theorem. Ramsey theory, named for Frank P. Ramsey, is a branch of mathematics that studies the conditions under which order must appear. Problems in… … Wikipedia
probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… … Universalium
List of mathematics articles (E) — NOTOC E E₇ E (mathematical constant) E function E₈ lattice E₈ manifold E∞ operad E7½ E8 investigation tool Earley parser Early stopping Earnshaw s theorem Earth mover s distance East Journal on Approximations Eastern Arabic numerals Easton s… … Wikipedia
Piecewise syndetic set — In mathematics, piecewise syndeticity is a notion of largeness of subsets of the natural numbers. Let mathcal{P} f(mathbb{N}) denote the set of finite subsets of mathbb{N}. Then a set S sub mathbb{N} is called piecewise syndetic if there exists G … Wikipedia
IP set — In mathematics, an IP set is a set of natural numbers which contains all finite sums of some infinite set.The finite sums of a set D of natural numbers are all those numbers that can be obtained by adding up the elements of some finite nonempty… … Wikipedia
Syndetic set — In mathematics, a syndetic set is a subset of the natural numbers, having the property of bounded gaps : that the sizes of the gaps in the sequence of natural numbers is bounded. DefinitionLet mathcal{P} f(mathbb{N}) denote the set of finite… … Wikipedia
Thick set — In mathematics, a thick set is a set of integers that contains arbitrarily long intervals. That is, given a thick set T, for every p in mathbb{N}, there is some n in mathbb{N} such that {n, n+1, n+2, ... , n+p } subset T.ee also*Syndetic set… … Wikipedia
Arithmetic combinatorics — arose out of the interplay between number theory, combinatorics, ergodic theory and harmonic analysis. It is about combinatorial estimates associated with arithmetic operations (addition, subtraction, multiplication, and division). Additive… … Wikipedia
Szemerédi's theorem — In number theory Szemerédi s theorem refers to the proof of the Erdős–Turán conjecture. In 1936 Erdős and Turan conjecturedcitation|authorlink1=Paul Erdős|first1=Paul|last1=Erdős|authorlink2=Paul Turán|first2=Paul|last2=Turán|title=On some… … Wikipedia
IP-Menge — In der Mathematik bezeichnet der Begriff IP Menge eine Menge natürlicher Zahlen, die alle endlichen Summen einer unendlichen Menge enthält. Die endlichen Summen einer Menge D von natürlichen Zahlen sind die Zahlen, die sich als Summe der Elemente … Deutsch Wikipedia
