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Math::Constants [](https://github.com/JJ/p6-math-constants/actions/workflows/test.yaml) =============== Math::Constants - A few constants defined in Raku SYNOPSIS ======== ```raku #!/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](https://en.wikipedia.org/wiki/Gravitational_constant) as `gravitation-constant` and `G`. * [Speed of light](https://en.wikipedia.org/wiki/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](https://en.wikipedia.org/wiki/Planck_constant) in J/s as `plancks-h` or `ℎ` and `plancks-reduced-h` or `ℏ`. * [Boltzmann constant](https://en.wikipedia.org/wiki/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](https://en.wikipedia.org/wiki/Coulomb_constant) as `coulomb-constant` or `K0`. * [Mass of an electron](https://en.wikipedia.org/wiki/Electron) as `electron-mass`. * [Electron volt](https://en.wikipedia.org/wiki/Electronvolt) as `electron-volt` and `eV` or as an operator. * [Elementary charge](https://en.wikipedia.org/wiki/Elementary_charge) as `elementary-charge` or `q`. * [Faraday constant](https://en.wikipedia.org/wiki/Faraday_constant) as `faraday-constant` or `F`. * [The fine structure constant](https://en.wikipedia.org/wiki/Fine_structure) as `fine-structure-constant` or `α`. * [Gas constant](https://en.wikipedia.org/wiki/Gas_constant) as `gas-constant`. * [Avogadro's constant](https://en.wikipedia.org/wiki/Avogadro_constant) as `avogadro-constant` or `L`. * [Vacuum magnetic permeability](https://en.wikipedia.org/wiki/Vacuum_permeability) as `magnetic-permeability` or `μ0`. * [Mass of a neutron](https://en.wikipedia.org/wiki/Neutron) as `neutron-mass`. * [Planck length](https://en.wikipedia.org/wiki/Planck_length) as `planck-length` or `lp`. * [Planck mass](https://en.wikipedia.org/wiki/Planck_mass) as `planck-mass` or `mp`. * [Planck temperature](https://en.wikipedia.org/wiki/Planck_temperature) as `planck-temperature` or `Tp`. * [Planck time](https://en.wikipedia.org/wiki/Planck_time) as `planck-time` or `tp`. * [Mass of a proton](https://en.wikipedia.org/wiki/Proton) as `proton-mass`. * The quantum ratio (elementary charge / Planck constant) as `quantum-ratio`. * [Standard acceleration due to gravity](https://en.wikipedia.org/wiki/Standard_gravity) as `standard-acceleration-gravity` or `g`. * [Vacuum electrical permittivity](https://en.wikipedia.org/wiki/Vacuum_permittivity) as `vacuum-permittivity` or `ε0`. ### Mathematical constants * [Golden ratio](https://en.wikipedia.org/wiki/Golden_ratio) as `phi` or `φ`. * [Feigenbaum constants](https://en.wikipedia.org/wiki/Feigenbaum_constants) as `alpha-feigenbaum-constant` and `delta-feigenbaum-constant` or `δ`. * [Apéry's constant](https://en.wikipedia.org/wiki/Ap%C3%A9ry%27s_constant) as `apery-constant`. * [Conway's constant](https://en.wikipedia.org/wiki/Look-and-say_sequence#Growth_in_length) as `conway-constant` and `λ`. * [Khinchin's constant](https://en.wikipedia.org/wiki/Khinchin%27s_constant) as `khinchin-constant` and `k0`. * [Glaisher–Kinkelin constant](https://en.wikipedia.org/wiki/Glaisher%E2%80%93Kinkelin_constant) as `glaisher-kinkelin-constant` and `A`. * [Golomb–Dickman constant](https://en.wikipedia.org/wiki/Golomb%E2%80%93Dickman_constant) as `golomb-dickman-constant`. * [Catalan's constant](https://en.wikipedia.org/wiki/Catalan%27s_constant) as `catalan-constant`. * [Mill's constant](https://en.wikipedia.org/wiki/Mills%27_constant) as `mill-constant`. * [Gauss's constant](https://en.wikipedia.org/wiki/Gauss%27s_constant) as `gauss-constant`. * [Euler–Mascheroni constant](https://en.wikipedia.org/wiki/Euler%E2%80%93Mascheroni_constant) as `euler-mascheroni-gamma` and `γ`. * [Sierpiński's constant](https://en.wikipedia.org/wiki/Sierpi%C5%84ski%27s_constant) as `sierpinski-gamma` and `k`. * [iⁱ](https://oeis.org/A049006) * [ζ(2)](https://oeis.org/A013661) ### 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](https://github.com/JJ/p6-math-constants/issues). 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.