transcendental number

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transcendental number

n
(Mathematics) maths a number or quantity that is real but nonalgebraic, that is, one that is not a root of any polynomial with rational coefficients such as π or e
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.transcendental number - an irrational number that is not algebraic
irrational, irrational number - a real number that cannot be expressed as a rational number
pi - the ratio of the circumference to the diameter of a circle; approximately equal to 3.14159265358979323846...
e - the base of the natural system of logarithms; approximately equal to 2.718282...
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
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Which French mathematician discovered the first transcendental number in 1873?
While the proof that pi is irrational - first proffered by Johann Heinrich Lambert, and soon expounded upon by a suite of mathematicians - is likely too complex for secondary students, the question of how we can actually generate this transcendental number to a dizzying number of decimal places is one worth exploring.
The Pythagorean theorem still holds, and pi is a transcendental number that will describe all perfect circles for all time.
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