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Graham's number

Index Graham's number

Graham's number is an enormous number that arises as an upper bound on the answer of a problem in the mathematical field of Ramsey theory. [1]

34 relations: Ackermann function, Assignment (computer science), Brady Haran, Bruce Lee Rothschild, Busy beaver, Complete graph, Computable function, Conway chained arrow notation, Coplanarity, Darkside communication group, Googolplex, Guinness World Records, Hales–Jewett theorem, Harvey Friedman, Hypercube, Hyperoperation, Iterated function, John C. Baez, Knuth's up-arrow notation, Large numbers, Martin Gardner, Numerical digit, Observable universe, Popular science, Ramsey theory, Ronald Graham, Scientific American, Sign (mathematics), Skewes's number, Steinhaus–Moser notation, Tetration, Upper and lower bounds, Vertex (geometry), Vertex (graph theory).

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.

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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.

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Brady Haran

Brady John Haran (born 18 June 1976) is an Australian-born British independent filmmaker and video journalist who is known for his educational videos and documentary films produced for BBC News and his YouTube channels, the most notable being Periodic Videos and Numberphile.

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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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Busy beaver

The busy beaver game consists of designing a halting, binary-alphabet Turing machine which writes the most 1s on the tape, using only a limited set of states.

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Complete graph

No description.

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Computable function

Computable functions are the basic objects of study in computability theory.

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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.

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

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Darkside communication group

is a publishing group of Japanese Dōjinshi.

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

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Guinness World Records

Guinness World Records, known from its inception in 1955 until 2000 as The Guinness Book of Records and in previous United States editions as The Guinness Book of World Records, is a reference book published annually, listing world records both of human achievements and the extremes of the natural world.

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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".

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Harvey Friedman

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

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In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.

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

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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.

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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.

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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.

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Large numbers

Large numbers are numbers that are significantly larger than those ordinarily used in everyday life, for instance in simple counting or in monetary transactions.

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Martin Gardner

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

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Numerical digit

A numerical digit is a single symbol (such as "2" or "5") used alone, or in combinations (such as "25"), to represent numbers (such as the number 25) according to some positional numeral systems.

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Observable universe

The observable universe is a spherical region of the Universe comprising all matter that can be observed from Earth at the present time, because electromagnetic radiation from these objects has had time to reach Earth since the beginning of the cosmological expansion.

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Popular science

Popular science (also called pop-science or popsci) is an interpretation of science intended for a general audience.

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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.

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Ronald Graham

Ronald Lewis "Ron" Graham (born October 31, 1935) is an American 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".

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Scientific American

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

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Sign (mathematics)

In mathematics, the concept of sign originates from the property of every non-zero real number of being positive or negative.

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Skewes's number

In number theory, Skewes's 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.

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Steinhaus–Moser notation

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

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

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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 an 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.

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Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.

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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).

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G (number), G64, Graham Number, Graham's Number, Graham's constant, Graham`s constant, Grahams Number, Grahams number, Graham’s number, Gramm's number, The largest integer that has an entry on Wikipedia.


[1] https://en.wikipedia.org/wiki/Graham's_number

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