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Euclid's theorem and Irrational number

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

Difference between Euclid's theorem and Irrational number

Euclid's theorem vs. Irrational number

Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.

Similarities between Euclid's theorem and Irrational number

Euclid's theorem and Irrational number have 10 things in common (in Unionpedia): Adrien-Marie Legendre, Constructive proof, Euclid, Fundamental theorem of arithmetic, Irrational number, Leonhard Euler, Prime number, Proof by contradiction, Reductio ad absurdum, Square number.

Adrien-Marie Legendre

Adrien-Marie Legendre (18 September 1752 – 10 January 1833) was a French mathematician.

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Constructive proof

In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object by creating or providing a method for creating the object.

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Euclid

Euclid (Εὐκλείδης Eukleidēs; fl. 300 BC), sometimes given the name Euclid of Alexandria to distinguish him from Euclides of Megara, was a Greek mathematician, often referred to as the "founder of geometry" or the "father of geometry".

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Fundamental theorem of arithmetic

In number theory, the fundamental theorem of arithmetic, also called the unique factorization theorem or the unique-prime-factorization theorem, states that every integer greater than 1 either is a prime number itself or can be represented as the product of prime numbers and that, moreover, this representation is unique, up to (except for) the order of the factors.

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Irrational number

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.

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Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Proof by contradiction

In logic, proof by contradiction is a form of proof, and more specifically a form of indirect proof, that establishes the truth or validity of a proposition.

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Reductio ad absurdum

In logic, reductio ad absurdum ("reduction to absurdity"; also argumentum ad absurdum, "argument to absurdity") is a form of argument which attempts either to disprove a statement by showing it inevitably leads to a ridiculous, absurd, or impractical conclusion, or to prove one by showing that if it were not true, the result would be absurd or impossible.

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Square number

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself.

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The list above answers the following questions

Euclid's theorem and Irrational number Comparison

Euclid's theorem has 37 relations, while Irrational number has 145. As they have in common 10, the Jaccard index is 5.49% = 10 / (37 + 145).

References

This article shows the relationship between Euclid's theorem and Irrational number. To access each article from which the information was extracted, please visit:

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