combinatorial symbol

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• Combinatorial species — In combinatorial mathematics, the theory of combinatorial species is an abstract, systematic method for analysing discrete structures in terms of generating functions. Examples of discrete structures are (finite) graphs, permutations, trees, and… …   Wikipedia

• Q-Pochhammer symbol — In mathematics, in the area of combinatorics, a q Pochhammer symbol, also called a q shifted factorial, is a q analog of the common Pochhammer symbol. It is defined as :(a;q) n = prod {k=0}^{n 1} (1 aq^k)=(1 a)(1 aq)(1 aq^2)cdots(1 aq^{n 1}).The… …   Wikipedia

• Pochhammer symbol — In mathematics, the Pochhammer symbol introduced by Leo August Pochhammer is the notation (x)n, where n is a non negative integer. Depending on the context the Pochhammer symbol may represent either the rising factorial or the falling factorial… …   Wikipedia

• Steven Pinker — Steven Arthur Pinker Steven Pinker in 2011 Born September 18, 1954 ( …   Wikipedia

• Noah Chazzman — Noah Arthur Chazzman Noah Chazzman (Göttingen, 2010) Noah Chazzman (Göttingen, 2010) Born September 18, 1954 (1954 09 18) (age 57) …   Wikipedia

• combinatorics — /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… …   Universalium

• Bernoulli number — In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers. There are several conventions for… …   Wikipedia

• Platonic solid — In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex; thus, all… …   Wikipedia

• Hales–Jewett theorem — In mathematics, the Hales–Jewett theorem is a fundamental combinatorial result of Ramsey theory, concerning the degree to which high dimensional objects must necessarily exhibit some combinatorial structure; it is impossible for such objects to… …   Wikipedia

• Oriented matroid — theory allows a combinatorial approach to the max flow min cut theorem. A network with the value of flow equal to the capacity of an s t cut An oriented matroid is a mathematical structure that abstracts the properties of directed graphs and of… …   Wikipedia

• History of artificial intelligence — The history of artificial intelligence begins in antiquity with myths, stories and rumors of artificial beings endowed with intelligence and consciousness by master craftsmen. In the middle of the 20th century, a handful of scientists began to… …   Wikipedia