Mathematical Constants

TO SUPPORT MY WORK, ORDER A COMMERCIAL LICENSE

THANK YOU!

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.

Tutorial Math Collection API spec Download

mXparser – built-in Mathematical Constants

Keyword	Type	Syntax	Since	Description
π	Constant value	π	5.0	Pi, Archimedes’ or Ludolph’s number – Mathematical constant π – Constant value – Unicode math symbol
ℼ	Constant value	ℼ	5.0	Pi, Archimedes’ or Ludolph’s number – Mathematical constant π – Constant value – Unicode math symbol
pi	Constant value	pi	1.0	Pi, Archimedes’ or Ludolph’s number – Mathematical constant π – Constant value
e	Constant value	e	1.0	Napier’s or Euler’s number (base of Natural logarithm) – Mathematical constant e – Constant value
ℯ	Constant value	ℯ	5.0	Napier’s or Euler’s number (base of Natural logarithm) – Mathematical constant e – Constant value – Unicode math symbol
ⅇ	Constant value	ⅇ	5.0	Napier’s or Euler’s number (base of Natural logarithm) – Mathematical constant e – Constant value – Unicode math symbol
[gam]	Constant value	[gam]	1.0	Euler-Mascheroni constant – Mathematical constant γ – Constant value
[phi]	Constant value	[phi]	1.0	Golden ratio – Mathematical constant φ – Constant value
[PN]	Constant value	[PN]	1.0	Plastic constant – Mathematical constant ρ – Constant value
[B*]	Constant value	[B*]	1.0	Embree-Trefethen constant – Mathematical constant β* – Constant value
[F’d]	Constant value	[F’d]	1.0	Feigenbaum delta constant – Mathematical constant δ – Constant value
[F’a]	Constant value	[F’a]	1.0	Feigenbaum alpha constant – Mathematical constant α – Constant value
[C2]	Constant value	[C2]	1.0	Twin prime constant – Mathematical constant ∏₂ – Constant value
[M1]	Constant value	[M1]	1.0	Meissel-Mertens constant – Mathematical constant M₁, B₁ – Constant value
[B2]	Constant value	[B2]	1.0	Brun’s constant for twin primes – Mathematical constant B₂ – Constant value
[B4]	Constant value	[B4]	1.0	Brun’s constant for prime quadruplets – Mathematical constant B₄ – Constant value
[BN’L]	Constant value	[BN’L]	1.0	de Bruijn-Newman constant – Mathematical constant Λ – Constant value
[Kat]	Constant value	[Kat]	1.0	Catalan’s constant – Mathematical constant G – Constant value
[K*]	Constant value	[K*]	1.0	Landau-Ramanujan constant – Mathematical constant b – Constant value
[K.]	Constant value	[K.]	1.0	Viswanath’s constant – Mathematical constant V – Constant value
[B’L]	Constant value	[B’L]	1.0	Legendre’s constant – Mathematical constant B – Constant value
[RS’m]	Constant value	[RS’m]	1.0	Ramanujan-Soldner constant – Mathematical constant μ – Constant value
[EB’e]	Constant value	[EB’e]	1.0	Erdos-Borwein constant – Mathematical constant E – Constant value
[Bern]	Constant value	[Bern]	1.0	Bernstein’s constant – Mathematical constant β – Constant value
[GKW’l]	Constant value	[GKW’l]	1.0	Gauss-Kuzmin-Wirsing constant – Mathematical constant λ – Constant value
[HSM’s]	Constant value	[HSM’s]	1.0	Hafner-Sarnak-McCurley constant – Mathematical constant σ – Constant value
[lm]	Constant value	[lm]	1.0	Golomb-Dickman constant – Mathematical constant λ – Constant value
[Cah]	Constant value	[Cah]	1.0	Cahen’s constant – Mathematical constant C – Constant value
[Ll]	Constant value	[Ll]	1.0	Laplace limit constant – Mathematical constant – Constant value
[AG]	Constant value	[AG]	1.0	Alladi-Grinstead constant – Mathematical constant – Constant value
[L*]	Constant value	[L*]	1.0	Lengyel’s constant – Mathematical constant Λ – Constant value
[L.]	Constant value	[L.]	1.0	Levy’s constant – Mathematical constant – Constant value
[Dz3]	Constant value	[Dz3]	1.0	Apery’s constant – Mathematical constant ζ(3) – Constant value
[A3n]	Constant value	[A3n]	1.0	Mills’ constant – Mathematical constant A – Constant value
[Bh]	Constant value	[Bh]	1.0	Backhouse’s constant – Mathematical constant B – Constant value
[Pt]	Constant value	[Pt]	1.0	Porter’s constant – Mathematical constant C – Constant value
[L2]	Constant value	[L2]	1.0	Lieb’s square ice constant – Mathematical constant – Constant value
[Nv]	Constant value	[Nv]	1.0	Niven’s constant – Mathematical constant C – Constant value
[Ks]	Constant value	[Ks]	1.0	Sierpinski’s constant – Mathematical constant K – Constant value
[Kh]	Constant value	[Kh]	1.0	Khinchin’s constant – Mathematical constant K₀ – Constant value
[FR]	Constant value	[FR]	1.0	Fransen-Robinson constant – Mathematical constant F – Constant value
[La]	Constant value	[La]	1.0	Landau’s constant – Mathematical constant L – Constant value
[P2]	Constant value	[P2]	1.0	Parabolic constant – Mathematical constant P – Constant value
[Om]	Constant value	[Om]	1.0	Omega constant – Mathematical constant Ω – Constant value
[MRB]	Constant value	[MRB]	1.0	MRB constant – Mathematical constant S – Constant value
[li2]	Constant value	[li2]	2.3	Logarithmic integral at point 2 – Mathematical constant li(2) – Constant value
[EG]	Constant value	[EG]	2.3	Gompertz constant – Mathematical constant δ – Constant value