Search results
Results from the WOW.Com Content Network
The standard Collatz function is given by P = 2, a 0 = 1 / 2 , b 0 = 0, a 1 = 3, b 1 = 1. Conway proved that the problem Given g and n, does the sequence of iterates g k (n) reach 1? is undecidable, by representing the halting problem in this way. Closer to the Collatz problem is the following universally quantified problem:
Lothar Collatz (German:; July 6, 1910 – September 26, 1990) was a German mathematician, born in Arnsberg, Westphalia. The "3x + 1" problem is also known as the Collatz conjecture, named after him and still unsolved. The Collatz–Wielandt formula for the Perron–Frobenius eigenvalue of a positive square matrix was also named after him.
Directed graph showing the orbits of the numbers less than 30 (with the exception of 27 because it would make it too tall) under the Collatz map. For a larger graph containing only odd numbers, see Image:Collatz-graph-300.svg. Created with Graphviz, with the help of this Python program:
graph theory: John Horton Conway: 150 Deligne conjecture: monodromy: Pierre Deligne: 788 Dittert conjecture: combinatorics: Eric Dittert: 11 Eilenberg−Ganea conjecture: algebraic topology: Samuel Eilenberg and Tudor Ganea: 96 Elliott–Halberstam conjecture: number theory: Peter D. T. A. Elliott and Heini Halberstam: 300 Erdős–Faber ...
2010-03-07 16:29 TerrorBite 1440×1406× (532396 bytes) This is a graph, generated in bottom-up fashion, of the orbits of all numbers under the Collatz map with an orbit length of 20 or less.
Directed graph showing the orbits of the first 1000 numbers in the Collatz conjecture. The integers from 1 to 1000 are colored from red to violet according to their value. French
Usage on ca.wikipedia.org Conjectura de Collatz; Usage on eu.wikipedia.org Collatzen aierua; Usage on fi.wikipedia.org Collatzin konjektuuri; Usage on fr.wikipedia.org Conjecture de Syracuse; Usage on hu.wikipedia.org Collatz-sejtés; Usage on ja.wikipedia.org コラッツの問題; Usage on www.wikidata.org Q837314; Usage on zh-yue.wikipedia.org
What links here; Upload file; Special pages; Printable version; Page information; Get shortened URL; Download QR code