Communication
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# Graham's number

Graham's number, named after Ronald Graham, is a large number that is an upper bound on the solution to a certain problem in Ramsey theory. [1]

## Ackermann function

In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not primitive recursive.

## Assignment (computer science)

In computer programming, an assignment statement sets and/or re-sets the value stored in the storage location(s) denoted by a variable name; in other words, it copies a value into the variable.

## Brady Haran

Brady John Haran (born 18 June 1976) is an Australian independent film-maker and video journalist who is known for his educational videos and documentary films produced for BBC News and for his YouTube channels, such as Numberphile and Periodic Videos.

## Bruce Lee Rothschild

Bruce Lee Rothschild (born August 26, 1941) is a professor of mathematics at the University of California, Los Angeles specializing in combinatorial mathematics.

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## Conway chained arrow notation

Conway chained arrow notation, created by mathematician John Horton Conway, is a means of expressing certain extremely large numbers in googology.

## Coplanarity

In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all.

## Googol

A googol is the large number 10100.

## Googolplex

A googolplex is the number 10, or equivalently, 10.

## Guinness World Records

Guinness World Records, known from its inception in 1955 until 1998 as The Guinness Book of Records and in previous U.S. editions as The Guinness Book of World Records, is a reference book published annually, listing world records, both human achievements and the extremes of the natural world.

## Hales–Jewett theorem

In mathematics, the Hales–Jewett theorem is a fundamental combinatorial result of Ramsey theory named after Alfred W. Hales and Robert I. Jewett, concerning the degree to which high-dimensional objects must necessarily exhibit some combinatorial structure; it is impossible for such objects to be "completely random".

## Harvey Friedman

__notoc__ Harvey Friedman (born 23 September 1948)Handbook of Philosophical Logic, ISBN 0-7923-7018-X, p. 38 is a mathematical logician at Ohio State University in Columbus, Ohio.

## Hypercube

In geometry, a hypercube is an n-dimensional analogue of a square (n.

## Hyperoperation

In mathematics, the hyperoperation sequence is an infinite sequence of arithmetic operations (called hyperoperations) that starts with the unary operation of successor (n.

## Iterated function

In mathematics, an iterated function is a function (that is, a function from some set to itself) which is obtained by composing another function with itself a certain number of times.

## John C. Baez

John Carlos Baez (born June 12, 1961) is an American mathematical physicist and a professor of mathematics at the University of California, Riverside (UCR) in Riverside, California.

## Knuth's up-arrow notation

In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976.

## Large numbers

This article is about large numbers in the sense of numbers that are significantly larger than those ordinarily used in everyday life, for instance in simple counting or in monetary transactions.

## Martin Gardner

Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer, with interests also encompassing micromagic, scientific skepticism, philosophy, religion, and literature—especially the writings of Lewis Carroll and G.K. Chesterton.

## Numerical digit

A digit is a numeric symbol (such as "2" or "5") used in combinations (such as "25") to represent numbers (such as the number 25) in positional numeral systems.

## Observable universe

The observable universe consists of the galaxies and other matter that can, in principle, be observed from Earth at the present time because light and other signals from these objects has had time to reach the Earth since the beginning of the cosmological expansion.

## Planck units

In physics, Planck units are physical units of measurement defined exclusively in terms of five universal physical constants listed below, in such a manner that these five physical constants take on the numerical value of 1 when expressed in terms of these units.

## Ramsey theory

Ramsey theory, named after the British mathematician and philosopher Frank P. Ramsey, is a branch of mathematics that studies the conditions under which order must appear.

## Ronald Graham

Ronald (Ron) Lewis Graham (born October 31, 1935) is a mathematician credited by the American Mathematical Society as being "one of the principal architects of the rapid development worldwide of discrete mathematics in recent years".

## Scientific American

Scientific American (informally abbreviated SciAm) is an American popular science magazine.

## Skewes' number

In number theory, Skewes' number is any of several extremely large numbers used by the South African mathematician Stanley Skewes as upper bounds for the smallest natural number x for which where π is the prime-counting function and li is the logarithmic integral function.

## Steinhaus–Moser notation

In mathematics, Steinhaus–Moser notation is a notation for expressing certain extremely large numbers.

## Tetration

In mathematics, tetration (or hyper-4) is the next hyperoperator after exponentiation, and is defined as iterated exponentiation.

## Upper and lower bounds

In mathematics, especially in order theory, an upper bound of a subset S of some partially ordered set (K, ≤) is an element of K which is greater than or equal to every element of S. The term lower bound is defined dually as an element of K which is less than or equal to every element of S. A set with a upper bound is said to be bounded from above by that bound, a set with a lower bound is said to be bounded from below by that bound.

## Vertex (geometry)

In geometry, a vertex (plural vertices) is a special kind of point that describes the corners or intersections of geometric shapes.

## Vertex (graph theory)

In mathematics, and more specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set of vertices and a set of edges (unordered pairs of vertices), while a directed graph consists of a set of vertices and a set of arcs (ordered pairs of vertices).

## References

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