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irrational number

   Also found in: Dictionary/thesaurus, Wikipedia, Hutchinson 0.03 sec.

irrational number

Among the real numbers, any of those that cannot be represented as quotients of integers. In decimal form, irrational numbers are represented by nonterminating, nonrepeating decimals. Examples include square roots of prime numbers and such transcendental numbers as π and e.


(mathematics)irrational number - A real number which is not a rational number, i.e. it is not the ratio of two integers.

The decimal expansion of an irrational is infinite but does not end in an infinite repeating sequence of digits.

Examples of irrational numbers are pi, e and the square root of two.


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He sets up this story by harkening back to the times of the ancient Greeks and Pythagoreans' attempts to deal with irrational numbers, MIT Pr, 2003, 213 p.
Beginning with natural numbers and covering the realms of infinity from prime numbers to parallel lines, the authors explore how mathematicians have tried to grasp the ungraspable, Profiles of individuals range from Pythagoras, who theorized about irrational numbers, to Georg Cantor, who proved that infinity can come in different sizes.
Since then, this never-ending, never-repeating, irrational number has been called the Golden Number or the Golden Ratio and linked to patterns ranging from the petal arrangement of roses to the composition of the "Mona Lisa.
 
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