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Collatz conjecture

Index Collatz conjecture

The Collatz conjecture is a conjecture in mathematics that concerns a sequence defined as follows: start with any positive integer n. Then each term is obtained from the previous term as follows: if the previous term is even, the next term is one half the previous term. [1]

44 relations: Arithmetic dynamics, Berkeley Open Infrastructure for Network Computing, Claudio Baiocchi, Conjecture, David A. Klarner, Experimental mathematics, Fibonacci Quarterly, Find first set, FractMus, Gödel, Escher, Bach, Hailstone (disambiguation), Helmut Hasse, Index of combinatorics articles, Iteration, Jeffrey Lagarias, Juggler sequence, List of conjectures, List of distributed computing projects, List of mathematical abbreviations, List of mathematical concepts named after places, List of number theory topics, List of unsolved problems in mathematics, Lothar Collatz, Mandelbrot set, Mathematical problem, Mathematical proof, Oneness, OProject@Home, Paul Erdős, Residue-class-wise affine group, Scientific phenomena named after people, Shizuo Kakutani, Stanislaw Ulam, Syracuse, Tag system, The Well-Tempered Clavier, Theorem, Tipping point (sociology), Ulam's conjecture, Undecidable problem, Wild number, 27 (number), 3x + 1 semigroup, 495 (number).

Arithmetic dynamics

Arithmetic dynamics is a field that amalgamates two areas of mathematics, dynamical systems and number theory.

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Berkeley Open Infrastructure for Network Computing

The Berkeley Open Infrastructure for Network Computing (BOINC, pronounced – rhymes with "oink"), an open-source middleware system, supports volunteer and grid computing.

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Claudio Baiocchi

Claudio Baiocchi (born 1940) is an Italian mathematician.

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Conjecture

In mathematics, a conjecture is a conclusion or proposition based on incomplete information, for which no proof has been found.

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David A. Klarner

David Anthony Klarner (October 10, 1940March 20, 1999) was an American mathematician, author, and educator.

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Experimental mathematics

Experimental mathematics is an approach to mathematics in which computation is used to investigate mathematical objects and identify properties and patterns.

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Fibonacci Quarterly

The Fibonacci Quarterly is a scientific journal on mathematical topics related to the Fibonacci numbers, published four times per year.

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Find first set

In software, find first set (ffs) or find first one is a bit operation that, given an unsigned machine word, identifies the least significant index or position of the bit set to one in the word.

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FractMus

FractMus is a freeware algorithmic music generator program developed and maintained by Spanish pianist and composer Gustavo Díaz-Jerez.

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Gödel, Escher, Bach

Gödel, Escher, Bach: An Eternal Golden Braid, also known as GEB, is a 1979 book by Douglas Hofstadter.

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Hailstone (disambiguation)

Hailstone typically refers to a piece of hail.

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Helmut Hasse

Helmut Hasse (25 August 1898 – 26 December 1979) was a German mathematician working in algebraic number theory, known for fundamental contributions to class field theory, the application of p-adic numbers to local class field theory and diophantine geometry (Hasse principle), and to local zeta functions.

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Index of combinatorics articles

No description.

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Iteration

Iteration is the act of repeating a process, to generate a (possibly unbounded) sequence of outcomes, with the aim of approaching a desired goal, target or result.

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Jeffrey Lagarias

Jeffrey Clark Lagarias (born November 16, 1949 in Pittsburgh, Pennsylvania, United States) is a mathematician and professor at the University of Michigan.

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Juggler sequence

In recreational mathematics a juggler sequence is an integer sequence that starts with a positive integer a0, with each subsequent term in the sequence defined by the recurrence relation: \end.

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List of conjectures

This is a list of mathematical conjectures.

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List of distributed computing projects

This is a list of distributed computing and grid computing projects.

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List of mathematical abbreviations

This article is a listing of abbreviated names of mathematical functions, function-like operators and other mathematical terminology.

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List of mathematical concepts named after places

This list contains mathematical concepts named after geographic locations.

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List of number theory topics

This is a list of number theory topics, by Wikipedia page.

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List of unsolved problems in mathematics

Since the Renaissance, every century has seen the solution of more mathematical problems than the century before, and yet many mathematical problems, both major and minor, still remain unsolved.

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Lothar Collatz

Lothar Collatz (July 6, 1910 – September 26, 1990) was a German mathematician, born in Arnsberg, Westphalia.

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Mandelbrot set

The Mandelbrot set is the set of complex numbers c for which the function f_c(z).

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Mathematical problem

A mathematical problem is a problem that is amenable to being represented, analyzed, and possibly solved, with the methods of mathematics.

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Mathematical proof

In mathematics, a proof is an inferential argument for a mathematical statement.

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Oneness

Oneness may refer to.

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OProject@Home

OProject@Home was a volunteer distributed computing project running on the Berkeley Open Infrastructure for Network Computing (BOINC) and was based on a dedicated library OLib.

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Paul Erdős

Paul Erdős (Erdős Pál; 26 March 1913 – 20 September 1996) was a Hungarian mathematician.

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Residue-class-wise affine group

In mathematics, specifically in group theory, residue-class-wise affine groups are certain permutation groups acting on \mathbb (the integers), whose elements are bijective residue-class-wise affine mappings.

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Scientific phenomena named after people

This is a list of scientific phenomena and concepts named after people (eponymous phenomena).

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Shizuo Kakutani

was a Japanese-American mathematician, best known for his eponymous fixed-point theorem.

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Stanislaw Ulam

Stanisław Marcin Ulam (13 April 1909 – 13 May 1984) was a Polish-American scientist in the fields of mathematics and nuclear physics.

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Syracuse

Syracuse, as a place name, may refer to.

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Tag system

A tag system is a deterministic computational model published by Emil Leon Post in 1943 as a simple form of a Post canonical system.

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The Well-Tempered Clavier

The Well-Tempered Clavier, BWV 846–893, is a collection of two sets of preludes and fugues in all 24 major and minor keys, composed for solo keyboard by Johann Sebastian Bach.

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Theorem

In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted statements, such as axioms.

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Tipping point (sociology)

In sociology, a tipping point is a point in time when a group—or a large number of group members—rapidly and dramatically changes its behavior by widely adopting a previously rare practice.

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Ulam's conjecture

Ulam's conjecture may refer to.

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Undecidable problem

In computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is known to be impossible to construct a single algorithm that always leads to a correct yes-or-no answer.

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Wild number

Originally, wild numbers are the numbers supposed to belong to a fictional sequence of numbers imagined to exist in the mathematical world of the mathematical fiction The Wild Numbers authored by Philibert Schogt, a Dutch philosopher and mathematician.

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27 (number)

27 (twenty-seven) is the natural number following 26 and preceding 28.

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3x + 1 semigroup

In algebra, the 3x + 1 semigroup is a special subsemigroup of the multiplicative semigroup of all positive rational numbers.

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495 (number)

495 (four hundred ninety-five) is the natural number following 494 and preceding 496.

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References

[1] https://en.wikipedia.org/wiki/Collatz_conjecture

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