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Collatz conjecture and Pólya conjecture

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Collatz conjecture and Pólya conjecture

Collatz conjecture vs. Pólya 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. In number theory, the Pólya conjecture stated that "most" (i.e., 50% or more) of the natural numbers less than any given number have an odd number of prime factors.

Similarities between Collatz conjecture and Pólya conjecture

Collatz conjecture and Pólya conjecture have 3 things in common (in Unionpedia): Conjecture, Counterexample, Natural number.

Conjecture

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

Collatz conjecture and Conjecture · Conjecture and Pólya conjecture · See more »

Counterexample

In logic, and especially in its applications to mathematics and philosophy, a counterexample is an exception to a proposed general rule or law.

Collatz conjecture and Counterexample · Counterexample and Pólya conjecture · See more »

Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

Collatz conjecture and Natural number · Natural number and Pólya conjecture · See more »

The list above answers the following questions

Collatz conjecture and Pólya conjecture Comparison

Collatz conjecture has 54 relations, while Pólya conjecture has 11. As they have in common 3, the Jaccard index is 4.62% = 3 / (54 + 11).

References

This article shows the relationship between Collatz conjecture and Pólya conjecture. To access each article from which the information was extracted, please visit:

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