Mathematical Constants

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mXparser provides a rich collection of built-in math functions, math expressions, and math symbols. Familiarize yourself with the scope and the syntax. Math collection internal help is also available directly from the software – see the tutorial and the API documentation for all the details.

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mXparser – built-in Mathematical Constants

Key word	Category	Description	Example	Since
π	Constant Value	Pi, Archimedes’ constant or Ludolph’s number – unicode math symbol	π	5.0
ℼ	Constant Value	Pi, Archimedes’ constant or Ludolph’s number – unicode math symbol	ℼ	5.0
pi	Constant Value	Pi, Archimedes’ constant or Ludolph’s number	pi	1.0
e	Constant Value	Napier’s constant, or Euler’s number, base of Natural logarithm	e	1.0
ℯ	Constant Value	Napier’s constant, or Euler’s number, base of Natural logarithm – unicode math symbol	ℯ	5.0
ⅇ	Constant Value	Napier’s constant, or Euler’s number, base of Natural logarithm – unicode math symbol	ⅇ	5.0
[gam]	Constant Value	Euler-Mascheroni constant	[gam]	1.0
[phi]	Constant Value	Golden ratio	[phi]	1.0
[PN]	Constant Value	Plastic constant	[PN]	1.0
[B*]	Constant Value	Embree-Trefethen constant	[B*]	1.0
[F’d]	Constant Value	Feigenbaum constant alfa	[F’d]	1.0
[F’a]	Constant Value	Feigenbaum constant delta	[F’a]	1.0
[C2]	Constant Value	Twin prime constant	[C2]	1.0
[M1]	Constant Value	Meissel-Mertens constant	[M1]	1.0
[B2]	Constant Value	Brun’s constant for twin primes	[B2]	1.0
[B4]	Constant Value	Brun’s constant for prime quadruplets	[B4]	1.0
[BN’L]	Constant Value	de Bruijn-Newman constant	[BN’L]	1.0
[Kat]	Constant Value	Catalan’s constant	[Kat]	1.0
[K*]	Constant Value	Landau-Ramanujan constant	[K*]	1.0
[K.]	Constant Value	Viswanath’s constant	[K.]	1.0
[B’L]	Constant Value	Legendre’s constant	[B’L]	1.0
[RS’m]	Constant Value	Ramanujan-Soldner constant	[RS’m]	1.0
[EB’e]	Constant Value	Erdos-Borwein constant	[EB’e]	1.0
[Bern]	Constant Value	Bernstein’s constant	[Bern]	1.0
[GKW’l]	Constant Value	Gauss-Kuzmin-Wirsing constant	[GKW’l]	1.0
[HSM’s]	Constant Value	Hafner-Sarnak-McCurley constant	[HSM’s]	1.0
[lm]	Constant Value	Golomb-Dickman constant	[lm]	1.0
[Cah]	Constant Value	Cahen’s constant	[Cah]	1.0
[Ll]	Constant Value	Laplace limit	[Ll]	1.0
[AG]	Constant Value	Alladi-Grinstead constant	[AG]	1.0
[L*]	Constant Value	Lengyel’s constant	[L*]	1.0
[L.]	Constant Value	Levy’s constant	[L.]	1.0
[Dz3]	Constant Value	Apery’s constant	[Dz3]	1.0
[A3n]	Constant Value	Mills’ constant	[A3n]	1.0
[Bh]	Constant Value	Backhouse’s constant	[Bh]	1.0
[Pt]	Constant Value	Porter’s constant	[Pt]	1.0
[L2]	Constant Value	Lieb’s square ice constant	[L2]	1.0
[Nv]	Constant Value	Niven’s constant	[Nv]	1.0
[Ks]	Constant Value	Sierpinski’s constant	[Ks]	1.0
[Kh]	Constant Value	Khinchin’s constant	[Kh]	1.0
[FR]	Constant Value	Fransen-Robinson constant	[FR]	1.0
[La]	Constant Value	Landau’s constant	[La]	1.0
[P2]	Constant Value	Parabolic constant	[P2]	1.0
[Om]	Constant Value	Omega constant	[Om]	1.0
[MRB]	Constant Value	MRB constant	[MRB]	1.0
[li2]	Constant Value	li(2) – Logarithmic integral function at x=2	[li2]	2.3
[EG]	Constant Value	Gompertz constant	[EG]	2.3
[true]	Constant Value	Boolean True represented as double, [true] = 1	[true]	4.1
[false]	Constant Value	Boolean False represented as double, [false] = 0	[false]	4.1
[NaN]	Constant Value	Not-a-Number	[NaN]	4.1