User:Tohline/Appendix/Variables templates

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Whitworth's (1981) Isothermal Free-Energy Surface
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Physical Constants, Variables, and Model Parameters

To insert the symbol associated with a given physical variable or constant into the text of any Wiki document, type ...
{{ User:Tohline/Math/Template_Name }}

Symbol

Definition

Template_Name

Unicode

Physical Constants:

<math>~G</math>

Newtonian gravitational constant;    Authoritative Value

C_GravitationalConstant

x0047

<math>~k</math>

Boltzmann constant;    Authoritative Value

C_BoltzmannConstant

x006B

<math>~m_p</math>

Proton mass;    Authoritative Value

C_ProtonMass

 

<math>~\Re</math>

Gas constant = <math>~k</math>/<math>~m_p</math>;    Authoritative Value

C_GasConstant

x211C

<math>~A_\mathrm{F}</math>

Characteristic Fermi pressure;

C_FermiPressure

 

<math>~B_\mathrm{F}</math>

Characteristic Fermi density;

C_FermiDensity

 

Variables:

<math>~n_g</math>

Number density;    units of "1/volume"

VAR_NumberDensity01

x004E

<math>~\rho</math>

Mass density;    units of "mass/volume"

VAR_Density01

x03C1

<math>~V</math>

Specific Volume = 1/<math>~\rho</math>;    units of "volume/mass"

VAR_SpecificVolume01

x0056

<math>~\Phi</math>

Newtonian gravitational potential;    units of "energy/mass" or "velocity-squared"

VAR_NewtonianPotential01

x03A6

<math>~P</math>

Pressure;    units of "force/area" or "energy/volume"

VAR_Pressure01

x0050

<math>~\epsilon</math>

Specific internal energy;    units of "energy/mass" or "velocity-squared"

VAR_SpecificInternalEnergy01

x03B5

<math>~t</math>

Time

VAR_Time01

x0074

<math>~T</math>

Temperature;    units of "Kelvin"

VAR_Temperature01

x0054

<math>~\vec{v}</math>

Euclidean 3-space velocity vector;    units of "length/time"

VAR_VelocityVector01

 

<math>~\vec{x}</math>

Euclidean 3-space position vector

VAR_PositionVector01

 

Model Parameters:

<math>~\gamma_\mathrm{g}</math>

Adiabatic Index (or Ratio of Specific Heats); dimensionless    Wikipedia Discussion

MP_AdiabaticIndex

 

<math>~\bar{\mu}</math>

Mean molecular weight; dimensionless

MP_MeanMolecularWeight

x03BC

<math>~n</math>

Polytropic Index; dimensionless    Wikipedia Discussion

MP_PolytropicIndex

x006E

<math>~K_\mathrm{n}</math>

Polytropic Constant; dimensions depend on choice of <math>~n</math>    Wikipedia Discussion

MP_PolytropicConstant

 

 

Whitworth's (1981) Isothermal Free-Energy Surface

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