KernelFunctions is a Pine Script v5 library that exports kernel weight functions for Nadaraya-Watson style estimation. It calculates a Rational Quadratic kernel, a Gaussian kernel based on a radial basis function, and a periodic kernel that models repeating be
Library · Pine Script v5 · Library
MathConstantsAtomic
This Pine Script library provides a collection of atomic and nuclear physical constants based on CODATA reference values.
GitHub stars261on the repository
Pine versionv5runs as is
Lines of code262
Settings0inputs
LicenceNone statedfile: MPL-2.0
Last update4 years ago13 Nov 2021
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Source Code
262 lines of Pine Script v5 from beta/libs/Math/MathConstantsAtomic.pinescript, published under MPL-2.0 (file header). Keep the author's credit and licence lines when you reuse it.
// This source code is subject to the terms of the Mozilla Public License 2.0 at https://mozilla.org/MPL/2.0/
// © RicardoSantos
//@version=5
// @description Mathematical Constants
library(title='MathConstantsAtomic')
// reference:
// https://github.com/mathnet/mathnet-numerics/blob/master/src/Numerics/Constants.cs
// A collection of frequently used mathematical constants.
// ATOMIC AND NUCLEAR CONSTANTS {
// @function Fine Structure Constant: alpha = e^2/4*Pi*e_0*h_bar*c_0 [1] (2007 CODATA)
export FineStructureConstant () => //{
7.2973525376e-3
//}
// @function Rydberg Constant: R_infty = alpha^2*m_e*c_0/2*h [m^-1] (2007 CODATA)
export RydbergConstant () => //{
10973731.568528
//}
// @function Bor Radius: a_0 = alpha/4*Pi*R_infty [m] (2007 CODATA)
export BohrRadius () => //{
0.52917720859e-10
//}
// @function Hartree Energy: E_h = 2*R_infty*h*c_0 [J] (2007 CODATA)
export HartreeEnergy () => //{
4.35974394e-18
//}
// @function Quantum of Circulation: h/2*m_e [m^2 s^-1] (2007 CODATA)
export QuantumOfCirculation () => //{
3.6369475199e-4
//}
// @function Fermi Coupling Constant: G_F/(h_bar*c_0)^3 [GeV^-2] (2007 CODATA)
export FermiCouplingConstant () => //{
1.16637e-5
//}
// @function Weak Mixin Angle: sin^2(theta_W) [1] (2007 CODATA)
export WeakMixingAngle () => //{
0.22256
//}
// @function Electron Mass: [kg] (2007 CODATA)
export ElectronMass () => //{
9.10938215e-31
//}
// @function Electron Mass Energy Equivalent: [J] (2007 CODATA)
export ElectronMassEnergyEquivalent () => //{
8.18710438e-14
//}
// @function Electron Molar Mass: [kg mol^-1] (2007 CODATA)
export ElectronMolarMass () => //{
5.4857990943e-7
//}
// @function Electron Compton Wavelength: [m] (2007 CODATA)
export ComptonWavelength () => //{
2.4263102175e-12
//}
// @function Classical Electron Radius: [m] (2007 CODATA)
export ClassicalElectronRadius () => //{
2.8179402894e-15
//}
// @function Thomson Cross Section: [m^2] (2002 CODATA)
export ThomsonCrossSection () => //{
0.6652458558e-28
//}
// @function Electron Magnetic Moment: [J T^-1] (2007 CODATA)
export ElectronMagneticMoment () => //{
-928.476377e-26
//}
// @function Electon G-Factor: [1] (2007 CODATA)
export ElectronGFactor () => //{
-2.0023193043622
//}
// @function Muon Mass: [kg] (2007 CODATA)
export MuonMass () => //{
1.88353130e-28
//}
// @function Muon Mass Energy Equivalent: [J] (2007 CODATA)
export MuonMassEnegryEquivalent () => //{
1.692833511e-11
//}
// @function Muon Molar Mass: [kg mol^-1] (2007 CODATA)
export MuonMolarMass () => //{
0.1134289256e-3
//}
// @function Muon Compton Wavelength: [m] (2007 CODATA)
export MuonComptonWavelength () => //{
11.73444104e-15
//}
// @function Muon Magnetic Moment: [J T^-1] (2007 CODATA)
export MuonMagneticMoment () => //{
-4.49044786e-26
//}
// @function Muon G-Factor: [1] (2007 CODATA)
export MuonGFactor () => //{
-2.0023318414
//}
// @function Tau Mass: [kg] (2007 CODATA)
export TauMass () => //{
3.16777e-27
//}
// @function Tau Mass Energy Equivalent: [J] (2007 CODATA)
export TauMassEnergyEquivalent () => //{
2.84705e-10
//}
// @function Tau Molar Mass: [kg mol^-1] (2007 CODATA)
export TauMolarMass () => //{
1.90768e-3
//}
// @function Tau Compton Wavelength: [m] (2007 CODATA)
export TauComptonWavelength () => //{
0.69772e-15
//}
// @function Proton Mass: [kg] (2007 CODATA)
export ProtonMass () => //{
1.672621637e-27
//}
// @function Proton Mass Energy Equivalent: [J] (2007 CODATA)
export ProtonMassEnergyEquivalent () => //{
1.503277359e-10
//}
// @function Proton Molar Mass: [kg mol^-1] (2007 CODATA)
export ProtonMolarMass () => //{
1.00727646677e-3
//}
// @function Proton Compton Wavelength: [m] (2007 CODATA)
export ProtonComptonWavelength () => //{
1.3214098446e-15
//}
// @function Proton Magnetic Moment: [J T^-1] (2007 CODATA)
export ProtonMagneticMoment () => //{
1.410606662e-26
//}
// @function Proton G-Factor: [1] (2007 CODATA)
export ProtonGFactor () => //{
5.585694713
//}
// @function Proton Shielded Magnetic Moment: [J T^-1] (2007 CODATA)
export ShieldedProtonMagneticMoment () => //{
1.410570419e-26
//}
// @function Proton Gyro-Magnetic Ratio: [s^-1 T^-1] (2007 CODATA)
export ProtonGyromagneticRatio () => //{
2.675222099e8
//}
// @function Proton Shielded Gyro-Magnetic Ratio: [s^-1 T^-1] (2007 CODATA)
export ShieldedProtonGyromagneticRatio () => //{
2.675153362e8
//}
// @function Neutron Mass: [kg] (2007 CODATA)
export NeutronMass () => //{
1.674927212e-27
//}
// @function Neutron Mass Energy Equivalent: [J] (2007 CODATA)
export NeutronMassEnegryEquivalent () => //{
1.505349506e-10
//}
// @function Neutron Molar Mass: [kg mol^-1] (2007 CODATA)
export NeutronMolarMass () => //{
1.00866491597e-3
//}
// @function Neuron Compton Wavelength: [m] (2007 CODATA)
export NeutronComptonWavelength () => //{
1.3195908951e-1
//}
// @function Neutron Magnetic Moment: [J T^-1] (2007 CODATA)
export NeutronMagneticMoment () => //{
-0.96623641e-26
//}
// @function Neutron G-Factor: [1] (2007 CODATA)
export NeutronGFactor () => //{
-3.82608545
//}
// @function Neutron Gyro-Magnetic Ratio: [s^-1 T^-1] (2007 CODATA)
export NeutronGyromagneticRatio () => //{
1.83247185e8
//}
// @function Deuteron Mass: [kg] (2007 CODATA)
export DeuteronMass () => //{
3.34358320e-27
//}
// @function Deuteron Mass Energy Equivalent: [J] (2007 CODATA)
export DeuteronMassEnegryEquivalent () => //{
3.00506272e-10
//}
// @function Deuteron Molar Mass: [kg mol^-1] (2007 CODATA)
export DeuteronMolarMass () => //{
2.013553212725e-3
//}
// @function Deuteron Magnetic Moment: [J T^-1] (2007 CODATA)
export DeuteronMagneticMoment () => //{
0.433073465e-26
//}
// @function Helion Mass: [kg] (2007 CODATA)
export HelionMass () => //{
5.00641192e-27
//}
// @function Helion Mass Energy Equivalent: [J] (2007 CODATA)
export HelionMassEnegryEquivalent () => //{
4.49953864e-10
//}
// @function Helion Molar Mass: [kg mol^-1] (2007 CODATA)
export HelionMolarMass () => //{
3.0149322473e-3
//}
// @function Avogadro constant: [mol^-1] (2010 CODATA)
export Avogadro () => //{
6.0221412927e23
//}
//}
Overview
MathConstantsAtomic exports functions returning fundamental physical measurements, including the fine-structure constant, Rydberg constant, Bohr radius, Hartree energy, and quantum circulation, alongside masses and magnetic properties for electrons, muons, and tau particles. The library does not draw on charts or take user inputs, serving strictly as a mathematical utility for other scripts requiring high-precision scientific constants.
- Atomic and nuclear physical constants
- CODATA reference values
- Fundamental particle mass definitions
- Exported mathematical helper functions
Details
Published by
ricardosantos79 on GitHub
Code credit
RicardoSantos, as written in the script's header
Type
Library, Pine Script v5
Draws
Library (no plots)
Markets
Any symbol
Timeframes
Any timeframe
Risk Notes
No repainting, lookahead or stacked entries were found in its code or README. That says nothing about how well it works: test it first.
Third-party code. ForexR did not write, test or endorse this script, and the summary above was generated automatically from its code and README. Indicators describe the past, and a strategy's backtest can look better than live trading, especially when a script repaints. Check it in the Strategy Tester and on a demo account before you rely on it.
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