Namespaces

Types in MathNet.Numerics

Type Constants

Namespace MathNet.Numerics

A collection of frequently used mathematical constants.

Fields

Public fields

double E

The number e
return double

double Log2E

The number log[2](e)
return double

double Log10E

The number log[10](e)
return double

double Ln2

The number log[e](2)
return double

double Ln10

The number log[e](10)
return double

double LnPi

The number log[e](pi)
return double

double Ln2PiOver2

The number log[e](2*pi)/2
return double

double InvE

The number 1/e
return double

double SqrtE

The number sqrt(e)
return double

double Sqrt2

The number sqrt(2)
return double

double Sqrt3

The number sqrt(3)
return double

double Sqrt1Over2

The number sqrt(1/2) = 1/sqrt(2) = sqrt(2)/2
return double

double HalfSqrt3

The number sqrt(3)/2
return double

double Pi

The number pi
return double

double Pi2

The number pi*2
return double

double PiOver2

The number pi/2
return double

double Pi3Over2

The number pi*3/2
return double

double PiOver4

The number pi/4
return double

double SqrtPi

The number sqrt(pi)
return double

double Sqrt2Pi

The number sqrt(2pi)
return double

double Sqrt2PiE

The number sqrt(2*pi*e)
return double

double LogSqrt2Pi

The number log(sqrt(2*pi))
return double

double LogSqrt2PiE

The number log(sqrt(2*pi*e))
return double

double LogTwoSqrtEOverPi

The number log(2 * sqrt(e / pi))
return double

double InvPi

The number 1/pi
return double

double TwoInvPi

The number 2/pi
return double

double InvSqrtPi

The number 1/sqrt(pi)
return double

double InvSqrt2Pi

The number 1/sqrt(2pi)
return double

double TwoInvSqrtPi

The number 2/sqrt(pi)
return double

double TwoSqrtEOverPi

The number 2 * sqrt(e / pi)
return double

double Degree

The number (pi)/180 - factor to convert from Degree (deg) to Radians (rad).
return double

double Grad

The number (pi)/200 - factor to convert from NewGrad (grad) to Radians (rad).
return double

double PowerDecibel

The number ln(10)/20 - factor to convert from Power Decibel (dB) to Neper (Np). Use this version when the Decibel represent a power gain but the compared values are not powers (e.g. amplitude, current, voltage).
return double

double NeutralDecibel

The number ln(10)/10 - factor to convert from Neutral Decibel (dB) to Neper (Np). Use this version when either both or neither of the Decibel and the compared values represent powers.
return double

double Catalan

The Catalan constant
Sum(k=0 -> inf){ (-1)^k/(2*k + 1)2 }
return double

double EulerMascheroni

The Euler-Mascheroni constant
lim(n -> inf){ Sum(k=1 -> n) { 1/k - log(n) } }
return double

double GoldenRatio

The number (1+sqrt(5))/2, also known as the golden ratio
return double

double Glaisher

The Glaisher constant
e^(1/12 - Zeta(-1))
return double

double Khinchin

The Khinchin constant
prod(k=1 -> inf){1+1/(k*(k+2))^log(k,2)}
return double

int SizeOfDouble

The size of a double in bytes.
return int

int SizeOfInt

The size of an int in bytes.
return int

int SizeOfFloat

The size of a float in bytes.
return int

int SizeOfComplex

The size of a Complex in bytes.
return int

int SizeOfComplex32

The size of a Complex in bytes.
return int

double SpeedOfLight

Speed of Light in Vacuum: c_0 = 2.99792458e8 [m s^-1] (defined, exact; 2007 CODATA)
return double

double MagneticPermeability

Magnetic Permeability in Vacuum: mu_0 = 4*Pi * 10^-7 [N A^-2 = kg m A^-2 s^-2] (defined, exact; 2007 CODATA)
return double

double ElectricPermittivity

Electric Permittivity in Vacuum: epsilon_0 = 1/(mu_0*c_0^2) [F m^-1 = A^2 s^4 kg^-1 m^-3] (defined, exact; 2007 CODATA)
return double

double CharacteristicImpedanceVacuum

Characteristic Impedance of Vacuum: Z_0 = mu_0*c_0 [Ohm = m^2 kg s^-3 A^-2] (defined, exact; 2007 CODATA)
return double

double GravitationalConstant

Newtonian Constant of Gravitation: G = 6.67429e-11 [m^3 kg^-1 s^-2] (2007 CODATA)
return double

double PlancksConstant

Planck's constant: h = 6.62606896e-34 [J s = m^2 kg s^-1] (2007 CODATA)
return double

double DiracsConstant

Reduced Planck's constant: h_bar = h / (2*Pi) [J s = m^2 kg s^-1] (2007 CODATA)
return double

double PlancksMass

Planck mass: m_p = (h_bar*c_0/G)^(1/2) [kg] (2007 CODATA)
return double

double PlancksTemperature

Planck temperature: T_p = (h_bar*c_0^5/G)^(1/2)/k [K] (2007 CODATA)
return double

double PlancksLength

Planck length: l_p = h_bar/(m_p*c_0) [m] (2007 CODATA)
return double

double PlancksTime

Planck time: t_p = l_p/c_0 [s] (2007 CODATA)
return double

double ElementaryCharge

Elementary Electron Charge: e = 1.602176487e-19 [C = A s] (2007 CODATA)
return double

double MagneticFluxQuantum

Magnetic Flux Quantum: theta_0 = h/(2*e) [Wb = m^2 kg s^-2 A^-1] (2007 CODATA)
return double

double ConductanceQuantum

Conductance Quantum: G_0 = 2*e^2/h [S = m^-2 kg^-1 s^3 A^2] (2007 CODATA)
return double

double JosephsonConstant

Josephson Constant: K_J = 2*e/h [Hz V^-1] (2007 CODATA)
return double

double VonKlitzingConstant

Von Klitzing Constant: R_K = h/e^2 [Ohm = m^2 kg s^-3 A^-2] (2007 CODATA)
return double

double BohrMagneton

Bohr Magneton: mu_B = e*h_bar/2*m_e [J T^-1] (2007 CODATA)
return double

double NuclearMagneton

Nuclear Magneton: mu_N = e*h_bar/2*m_p [J T^-1] (2007 CODATA)
return double

double FineStructureConstant

Fine Structure Constant: alpha = e^2/4*Pi*e_0*h_bar*c_0 [1] (2007 CODATA)
return double

double RydbergConstant

Rydberg Constant: R_infty = alpha^2*m_e*c_0/2*h [m^-1] (2007 CODATA)
return double

double BohrRadius

Bor Radius: a_0 = alpha/4*Pi*R_infty [m] (2007 CODATA)
return double

double HartreeEnergy

Hartree Energy: E_h = 2*R_infty*h*c_0 [J] (2007 CODATA)
return double

double QuantumOfCirculation

Quantum of Circulation: h/2*m_e [m^2 s^-1] (2007 CODATA)
return double

double FermiCouplingConstant

Fermi Coupling Constant: G_F/(h_bar*c_0)^3 [GeV^-2] (2007 CODATA)
return double

double WeakMixingAngle

Weak Mixin Angle: sin^2(theta_W) [1] (2007 CODATA)
return double

double ElectronMass

Electron Mass: [kg] (2007 CODATA)
return double

double ElectronMassEnergyEquivalent

Electron Mass Energy Equivalent: [J] (2007 CODATA)
return double

double ElectronMolarMass

Electron Molar Mass: [kg mol^-1] (2007 CODATA)
return double

double ComptonWavelength

Electron Compton Wavelength: [m] (2007 CODATA)
return double

double ClassicalElectronRadius

Classical Electron Radius: [m] (2007 CODATA)
return double

double ThomsonCrossSection

Tomson Cross Section: [m^2] (2002 CODATA)
return double

double ElectronMagneticMoment

Electron Magnetic Moment: [J T^-1] (2007 CODATA)
return double

double ElectronGFactor

Electon G-Factor: [1] (2007 CODATA)
return double

double MuonMass

Muon Mass: [kg] (2007 CODATA)
return double

double MuonMassEnegryEquivalent

Muon Mass Energy Equivalent: [J] (2007 CODATA)
return double

double MuonMolarMass

Muon Molar Mass: [kg mol^-1] (2007 CODATA)
return double

double MuonComptonWavelength

Muon Compton Wavelength: [m] (2007 CODATA)
return double

double MuonMagneticMoment

Muon Magnetic Moment: [J T^-1] (2007 CODATA)
return double

double MuonGFactor

Muon G-Factor: [1] (2007 CODATA)
return double

double TauMass

Tau Mass: [kg] (2007 CODATA)
return double

double TauMassEnergyEquivalent

Tau Mass Energy Equivalent: [J] (2007 CODATA)
return double

double TauMolarMass

Tau Molar Mass: [kg mol^-1] (2007 CODATA)
return double

double TauComptonWavelength

Tau Compton Wavelength: [m] (2007 CODATA)
return double

double ProtonMass

Proton Mass: [kg] (2007 CODATA)
return double

double ProtonMassEnergyEquivalent

Proton Mass Energy Equivalent: [J] (2007 CODATA)
return double

double ProtonMolarMass

Proton Molar Mass: [kg mol^-1] (2007 CODATA)
return double

double ProtonComptonWavelength

Proton Compton Wavelength: [m] (2007 CODATA)
return double

double ProtonMagneticMoment

Proton Magnetic Moment: [J T^-1] (2007 CODATA)
return double

double ProtonGFactor

Proton G-Factor: [1] (2007 CODATA)
return double

double ShieldedProtonMagneticMoment

Proton Shielded Magnetic Moment: [J T^-1] (2007 CODATA)
return double

double ProtonGyromagneticRatio

Proton Gyro-Magnetic Ratio: [s^-1 T^-1] (2007 CODATA)
return double

double ShieldedProtonGyromagneticRatio

Proton Shielded Gyro-Magnetic Ratio: [s^-1 T^-1] (2007 CODATA)
return double

double NeutronMass

Neutron Mass: [kg] (2007 CODATA)
return double

double NeutronMassEnegryEquivalent

Neutron Mass Energy Equivalent: [J] (2007 CODATA)
return double

double NeutronMolarMass

Neutron Molar Mass: [kg mol^-1] (2007 CODATA)
return double

double NeutronComptonWavelength

Neuron Compton Wavelength: [m] (2007 CODATA)
return double

double NeutronMagneticMoment

Neutron Magnetic Moment: [J T^-1] (2007 CODATA)
return double

double NeutronGFactor

Neutron G-Factor: [1] (2007 CODATA)
return double

double NeutronGyromagneticRatio

Neutron Gyro-Magnetic Ratio: [s^-1 T^-1] (2007 CODATA)
return double

double DeuteronMass

Deuteron Mass: [kg] (2007 CODATA)
return double

double DeuteronMassEnegryEquivalent

Deuteron Mass Energy Equivalent: [J] (2007 CODATA)
return double

double DeuteronMolarMass

Deuteron Molar Mass: [kg mol^-1] (2007 CODATA)
return double

double DeuteronMagneticMoment

Deuteron Magnetic Moment: [J T^-1] (2007 CODATA)
return double

double HelionMass

Helion Mass: [kg] (2007 CODATA)
return double

double HelionMassEnegryEquivalent

Helion Mass Energy Equivalent: [J] (2007 CODATA)
return double

double HelionMolarMass

Helion Molar Mass: [kg mol^-1] (2007 CODATA)
return double

double Avogadro

Avogadro constant: [mol^-1] (2010 CODATA)
return double

double Yotta

The SI prefix factor corresponding to 1 000 000 000 000 000 000 000 000
return double

double Zetta

The SI prefix factor corresponding to 1 000 000 000 000 000 000 000
return double

double Exa

The SI prefix factor corresponding to 1 000 000 000 000 000 000
return double

double Peta

The SI prefix factor corresponding to 1 000 000 000 000 000
return double

double Tera

The SI prefix factor corresponding to 1 000 000 000 000
return double

double Giga

The SI prefix factor corresponding to 1 000 000 000
return double

double Mega

The SI prefix factor corresponding to 1 000 000
return double

double Kilo

The SI prefix factor corresponding to 1 000
return double

double Hecto

The SI prefix factor corresponding to 100
return double

double Deca

The SI prefix factor corresponding to 10
return double

double Deci

The SI prefix factor corresponding to 0.1
return double

double Centi

The SI prefix factor corresponding to 0.01
return double

double Milli

The SI prefix factor corresponding to 0.001
return double

double Micro

The SI prefix factor corresponding to 0.000 001
return double

double Nano

The SI prefix factor corresponding to 0.000 000 001
return double

double Pico

The SI prefix factor corresponding to 0.000 000 000 001
return double

double Femto

The SI prefix factor corresponding to 0.000 000 000 000 001
return double

double Atto

The SI prefix factor corresponding to 0.000 000 000 000 000 001
return double

double Zepto

The SI prefix factor corresponding to 0.000 000 000 000 000 000 001
return double

double Yocto

The SI prefix factor corresponding to 0.000 000 000 000 000 000 000 001
return double