Math::Constants

Math::Constants - A few constants defined in Raku

SYNOPSIS

#!/usr/bin/env raku

use Math::Constants;

say "We have ", phi, " ", plancks-h, " ",  plancks-reduced-h, " ",
    c, " ", G, " and ", fine-structure-constant, " plus ",
    elementary-charge, " and ", vacuum-permittivity ;

say "And also  φ ", φ, " α ", α,  " ℎ ",  ℎ, " and ℏ ", ℏ,
    " with e ", e, " and ε0 ", ε0;

say "We are flying at speed ", .1c;

DESCRIPTION

Math::Constants is a collection of Math and Physics constants that will save you the trouble of defining them.

Constants included

Physical constants

All the physical constants have the CODATA 2018 recommended values. These reflect the new definitions of the kilogram and ampere as of 2019-05-20.

• Gravitational constant as gravitation-constant and G.

• Speed of light as speed-of-light-vacuum and c. It works also as a suffix for expressing speeds, as in 3c for 3 times the speed of light.

• Planck constant and reduced constant in J/s as plancks-h or ℎ and plancks-reduced-h or ℏ.

• Boltzmann constant as boltzmann-constant. Previous versions of Math::Constants had this in eV. The value is now in standard SI units. The eV postfix operator can be used to get the previous value if needed.

• Coulomb constant as coulomb-constant or K0.

• Mass of an electron as electron-mass.

• Electron volt as electron-volt and eV or as an operator.

• Elementary charge as elementary-charge or q.

• Faraday constant as faraday-constant or F.

• The fine structure constant as fine-structure-constant or α.

• Gas constant as gas-constant.

• Avogadro's constant as avogadro-constant or L.

• Vacuum magnetic permeability as magnetic-permeability or μ0.

• Mass of a neutron as neutron-mass.

• Planck length as planck-length or lp.

• Planck mass as planck-mass or mp.

• Planck temperature as planck-temperature or Tp.

• Planck time as planck-time or tp.

• Mass of a proton as proton-mass.

• The quantum ratio (elementary charge / Planck constant) as quantum-ratio.

• Standard acceleration due to gravity as standard-acceleration-gravity or g.

• Vacuum electrical permittivity as vacuum-permittivity or ε0.

Mathematical constants

• Golden ratio as phi or φ.

• Feigenbaum constants as alpha-feigenbaum-constant and delta-feigenbaum-constant or δ.

• Apéry's constant as apery-constant.

• Conway's constant as conway-constant and λ.

• Khinchin's constant as khinchin-constant and k0.

• Glaisher–Kinkelin constant as glaisher-kinkelin-constant and A.

• Golomb–Dickman constant as golomb-dickman-constant.

• Catalan's constant as catalan-constant.

• Mill's constant as mill-constant.

• Gauss's constant as gauss-constant.

• Euler–Mascheroni constant as euler-mascheroni-gamma and γ.

• Sierpiński's constant as sierpinski-gamma and k.

• iⁱ

• ζ(2)

Units

"Units" can be used as suffix; the number will be multiplied by its value

• eV, or electron-volts; 1.3eV is 1.3 divided by the eV constant value.

• c, speed of light.

• g, gravitational constant.

Issues and suggestions

Please post them in GitHub. Pull requests are also welcome.

AUTHOR

JJ Merelo [email protected]

Kevin Pye [email protected]

COPYRIGHT AND LICENSE

Copyright 2016-2022 JJ Merelo

Copyright 2019 Kevin Pye

This library is free software; you can redistribute it and/or modify it under the GPL 3.0.