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Mathematical Constant




Many particular numbers have special significance in mathematics, and arise in many different contexts. For example, up to multiplication with nonzero complex numbers, there is a unique Holomorphic Function ''f'' with ''f''' = ''f''. Therefore, ''f''(1)/''f''(0) is a mathematical constant, the constant E .
''f'' is also a Periodic Function , and the Absolute Value of its period is another mathematical constant, 2π.

Mathematical constants are typically elements of the Field of Real Number s or Complex Number s. Mathematical constants that one can talk about are Definable Number s (and almost always also Computable ).

However, there are still some mathematical constants for which only very rough estimates are known.

An alternate sorting may be found at Mathematical Constant (sorted By Continued Fraction Representation)


TABLE OF SELECTED MATHEMATICAL CONSTANTS


Abbreviations used:
: R - Rational Number , A - Irrational Number (algebraic) , T - Irrational Number (transcendental)
: Gen - General , NuT - Number Theory , ChT - Chaos Theory , Com - Combinatorics , Inf - Information Theory , Ana - Mathematical Analysis


SEE ALSO




EXTERNAL LINKS

  • Steven Finch's page of mathematical constants: http://pauillac.inria.fr/algo/bsolve/constant/constant.html

  • Steven Finch's alternative indexing: http://pauillac.inria.fr/algo/bsolve/constant/table.html

  • Xavier Gourdon and Pascal Sebah's page of numbers, mathematical constants and algorithms: http://numbers.computation.free.fr/Constants/constants.html

  • Simon Plouffe's inverter: http://pi.lacim.uqam.ca/eng/

  • CECM's Inverse symbolic calculator (ISC) (tells you how a given number can be constructed from mathematical constants): http://www.cecm.sfu.ca/projects/ISC/