Appendix/VariablesTemplates - Revision history

Jet53man: /* Physical Constants */

2021-07-17T21:41:04Z

Physical Constants

← Older revision		Revision as of 17:41, 17 July 2021
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	<font color="green">Planck constant</font>;		<font color="green">Planck constant</font>;
	[http://en.wikipedia.org/wiki/Planck_constant Authoritative Value];		[http://en.wikipedia.org/wiki/Planck_constant Authoritative Value];
	NOTE: <span title="h-bar"><math>\hbar</math></span> <math>\equiv</math> {{~~Template:~~Math/C_PlanckConstant}}/(2<math>\pi</math>)		NOTE: <span title="h-bar"><math>\hbar</math></span> <math>\equiv</math> {{ Math/C_PlanckConstant }}/(2<math>\pi</math>)
	</td>		</td>
	<td>		<td>
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	<font color="green">Atomic mass unit</font>;		<font color="green">Atomic mass unit</font>;
	[http://en.wikipedia.org/wiki/Atomic_mass_unit Authoritative Value];		[http://en.wikipedia.org/wiki/Atomic_mass_unit Authoritative Value];
	NOTE: {{~~Template:~~Math/C_ProtonMass}}/{{~~Template:~~Math/C_AtomicMassUnit}} = 1.007276		NOTE: {{ Math/C_ProtonMass }}/{{ Math/C_AtomicMassUnit }} = 1.007276
	</td>		</td>
	<td>		<td>
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	</td>		</td>
	<td>		<td>
	<font color="green">Gas constant</font> = {{~~Template:~~Math/C_BoltzmannConstant}}{{~~Template:~~Math/C_AvogadroConstant}} = 1.007276 {{~~Template:~~Math/C_BoltzmannConstant}}/{{~~Template:~~Math/C_ProtonMass}};		<font color="green">Gas constant</font> = {{ Math/C_BoltzmannConstant }}{{ Math/C_AvogadroConstant }} = 1.007276 {{ Math/C_BoltzmannConstant }}/{{ Math/C_ProtonMass }};
	[http://en.wikipedia.org/wiki/Gas_constant Authoritative Value]		[http://en.wikipedia.org/wiki/Gas_constant Authoritative Value]

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	Reference (original): [http://adsabs.harvard.edu/abs/1935MNRAS..95..207C Chandraskehar, S. (1935)]<br />		Reference (original): [http://adsabs.harvard.edu/abs/1935MNRAS..95..207C Chandraskehar, S. (1935)]<br />
	Reference (recent): See Appendix of [http://adsabs.harvard.edu/abs/2009ApJS..184..248E Even & Tohline (2009)]<br />		Reference (recent): See Appendix of [http://adsabs.harvard.edu/abs/2009ApJS..184..248E Even & Tohline (2009)]<br />
	Reference (authoritative book): [<b>[[~~User:Tohline/~~Appendix/References#C67\|<font color="red">C67</font>]]</b>]		Reference (authoritative book): [<b>[[Appendix/References#C67\|<font color="red">C67</font>]]</b>]
	</font>		</font>
	</td>		</td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{ Math/C_FermiDensity}}		{{ Math/C_FermiDensity }}
	</td>		</td>
	<td>		<td>
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	Reference (original): [http://adsabs.harvard.edu/abs/1935MNRAS..95..207C Chandraskehar, S. (1935)]<br />		Reference (original): [http://adsabs.harvard.edu/abs/1935MNRAS..95..207C Chandraskehar, S. (1935)]<br />
	Reference (recent): See Appendix of [http://adsabs.harvard.edu/abs/2009ApJS..184..248E Even & Tohline (2009)]<br />		Reference (recent): See Appendix of [http://adsabs.harvard.edu/abs/2009ApJS..184..248E Even & Tohline (2009)]<br />
	Reference (authoritative book): [<b>[[~~User:Tohline/~~Appendix/References#C67\|<font color="red">C67</font>]]</b>]		Reference (authoritative book): [<b>[[Appendix/References#C67\|<font color="red">C67</font>]]</b>]
	</font>		</font>
	</td>		</td>
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	<td>		<td>
	<font color="green">Temperature associated with the rest-mass energy of the electron</font>;		<font color="green">Temperature associated with the rest-mass energy of the electron</font>;
	[~~http://www.vistrails.org/index.php/User:Tohline/~~SR/PressureCombinations#Normalized_Ideal-Gas_Pressure Context of Definition] <br />		[[SR/PressureCombinations#Normalized_Ideal-Gas_Pressure\|Context of Definition]] <br />
	<math>T_e \equiv \frac{m_e c^2}{k} = 5.9381\times 10^{9}~\mathrm{K}</math><br />		<math>T_e \equiv \frac{m_e c^2}{k} = 5.9381\times 10^{9}~\mathrm{K}</math><br />
	</td>		</td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{ Math/C_ElectronCharge}}		{{ Math/C_ElectronCharge }}
	</td>		</td>
	<td>		<td>

Jet53man: /* Physical Constants */

2021-07-17T21:35:32Z

Physical Constants

← Older revision		Revision as of 17:35, 17 July 2021
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	<td colspan=4>		<td colspan=4>
	To insert the symbol associated with a given physical variable or constant into the text of any Wiki document, type ...<br /><center>		To insert the symbol associated with a given physical variable or constant into the text of any Wiki document, type ...<br /><center>
	{{ ~~User:Tohline/~~Math/<i><font color="red">Template_Name</font></i> }}</center>		{{ Math/<i><font color="red">Template_Name</font></i> }}</center>
	</td>		</td>
	</tr>		</tr>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_SpeedOfLight}}		{{ Math/C_SpeedOfLight}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_GravitationalConstant}}		{{ Math/C_GravitationalConstant}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C PlanckConstant}}		{{ Math/C PlanckConstant}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_BoltzmannConstant}}		{{ Math/C_BoltzmannConstant}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_AvogadroConstant}}		{{ Math/C_AvogadroConstant}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_ElectronMass}}		{{ Math/C_ElectronMass}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_ProtonMass}}		{{ Math/C_ProtonMass}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_AtomicMassUnit}}		{{ Math/C_AtomicMassUnit}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_GasConstant}}		{{ Math/C_GasConstant}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_FermiPressure}}		{{ Math/C_FermiPressure}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_FermiDensity}}		{{ Math/C_FermiDensity}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_RadiationConstant}}		{{ Math/C_RadiationConstant}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_ElectronTemperature}}		{{ Math/C_ElectronTemperature}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_ElectronCharge}}		{{ Math/C_ElectronCharge}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_FineStructureConstant}}		{{ Math/C_FineStructureConstant}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/C_ThompsonCrossSection}}		{{ Math/C_ThompsonCrossSection}}
	</td>		</td>
	<td>		<td>

Jet53man: /* Variables */

2021-07-17T21:32:49Z

Variables

← Older revision		Revision as of 17:32, 17 July 2021
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	<td colspan=4>		<td colspan=4>
	To insert the symbol associated with a given physical variable or constant into the text of any Wiki document, type ...<br /><center>		To insert the symbol associated with a given physical variable or constant into the text of any Wiki document, type ...<br /><center>
	{{ ~~Template:~~Math/<i><font color="red">Template_Name</font></i> }}</center>		{{ Math/<i><font color="red">Template_Name</font></i> }}</center>
	</td>		</td>
	</tr>		</tr>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_NumberDensity01}}		{{ Math/VAR_NumberDensity01 }}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_Density01}}		{{ Math/VAR_Density01}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_SpecificVolume01}}		{{ Math/VAR_SpecificVolume01}}
	</td>		</td>
	<td>		<td>
	<font color="green">Specific Volume</font> = 1/{{~~Template:~~Math/VAR_Density01}};    units of "volume/mass"		<font color="green">Specific Volume</font> = 1/{{ Math/VAR_Density01 }};    units of "volume/mass"
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_NewtonianPotential01}}		{{ Math/VAR_NewtonianPotential01}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_Enthalpy01}}		{{ Math/VAR_Enthalpy01}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_Pressure01}}		{{ Math/VAR_Pressure01}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_SpecificInternalEnergy01}}		{{ Math/VAR_SpecificInternalEnergy01}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_SpecificEntropy01}}		{{ Math/VAR_SpecificEntropy01}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_Time01}}		{{ Math/VAR_Time01}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_Temperature01}}		{{ Math/VAR_Temperature01}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_VelocityVector01}}		{{ Math/VAR_VelocityVector01}}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/VAR_PositionVector01}}		{{ Math/VAR_PositionVector01}}
	</td>		</td>
	<td>		<td>

Jet53man: /* Model Parameters */

2021-07-17T21:30:24Z

Model Parameters

← Older revision		Revision as of 17:30, 17 July 2021
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	<td colspan=4>		<td colspan=4>
	To insert the symbol associated with a given physical variable or constant into the text of any Wiki document, type ...<br /><center>		To insert the symbol associated with a given physical variable or constant into the text of any Wiki document, type ...<br /><center>
	{{ ~~User:Tohline/~~Math/<i><font color="red">Template_Name</font></i> }}</center>		{{ Math/<i><font color="red">Template_Name</font></i> }}</center>
	</td>		</td>
	</tr>		</tr>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/MP_AdiabaticIndex}}		{{ Math/MP_AdiabaticIndex }}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/MP_MeanMolecularWeight}}		{{ Math/MP_MeanMolecularWeight }}
	</td>		</td>
	<td>		<td>
	<font color="green">Mean molecular weight</font>; dimensionless;		<font color="green">Mean molecular weight</font>; dimensionless;
	defined such that {{~~Template:~~Math/MP_MeanMolecularWeight}} = {{~~Template:~~Math/VAR_Density01}} / ({{~~Template:~~Math/C_AtomicMassUnit}}{{Template:Math/VAR_NumberDensity01}}).		defined such that {{ Math/MP_MeanMolecularWeight }} = {{ Math/VAR_Density01 }} / ({{ Math/C_AtomicMassUnit }}{{Template:Math/VAR_NumberDensity01}}).
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/MP_ElectronMolecularWeight}}		{{ Math/MP_ElectronMolecularWeight }}
	</td>		</td>
	<td>		<td>
	<font color="green">Molecular weight of electrons</font>; dimensionless; <br />		<font color="green">Molecular weight of electrons</font>; dimensionless; <br />
	defined such that {{~~Template:~~Math/MP_ElectronMolecularWeight}} = {{~~Template:~~Math/VAR_Density01}} / ({{~~Template:~~Math/C_AtomicMassUnit}} <math>N_e</math>), where <math>N_e</math> is the number density of electrons.		defined such that {{ Math/MP_ElectronMolecularWeight }} = {{ Math/VAR_Density01 }} / ({{ Math/C_AtomicMassUnit }} <math>N_e</math>), where <math>N_e</math> is the number density of electrons.
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/MP_PolytropicIndex}}		{{ Math/MP_PolytropicIndex }}
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~Template:~~Math/MP_PolytropicConstant}}		{{ Math/MP_PolytropicConstant }}
	</td>		</td>
	<td>		<td>
	<font color="green">Polytropic Constant</font>; dimensions depend on choice of {{~~Template:~~Math/MP_PolytropicIndex}}		<font color="green">Polytropic Constant</font>; dimensions depend on choice of {{ Math/MP_PolytropicIndex }}
	[http://en.wikipedia.org/wiki/Polytrope Wikipedia Discussion]		[http://en.wikipedia.org/wiki/Polytrope Wikipedia Discussion]
	</td>		</td>

Jet53man: /* Physical Constants */

2021-07-04T21:19:45Z

Physical Constants

← Older revision		Revision as of 17:19, 4 July 2021
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	</td>		</td>
	<td>		<td>
	<font color="green">Radiation constant</font>;		<font color="green">Radiation [density] constant</font>;
	[http://scienceworld.wolfram.com/physics/RadiationConstant.html Authoritative Value] <br />		[http://scienceworld.wolfram.com/physics/RadiationConstant.html Authoritative Value] <br />
	<math>a_\mathrm{rad} \equiv \frac{8\pi^5}{15}\frac{k^4}{(hc)^3} = 7.56576\times 10^{-15}~\mathrm{erg}~\mathrm{cm}^{-3}~\mathrm{K}^{-4}</math><br />		<math>a_\mathrm{rad} \equiv \frac{8\pi^5}{15}\frac{k^4}{(hc)^3} = 7.56576\times 10^{-15}~\mathrm{erg}~\mathrm{cm}^{-3}~\mathrm{K}^{-4}</math><br />
			NOTE: <math>a_\mathrm{rad} = 4\sigma_\mathrm{SB}/c</math>, where <math>\sigma_\mathrm{SB}</math> is the [https://en.wikipedia.org/wiki/Stefan–Boltzmann_constant Stefan-Boltzmann constant]; see, for example, p. 428 of [[Appendix/References#HK94\|[<b><font color="red">HK94</font></b>]]].
	</td>		</td>
	<td>		<td>

Jet53man: /* Model Parameters */

2021-07-01T17:31:38Z

Model Parameters

← Older revision		Revision as of 13:31, 1 July 2021
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~User~~:~~Tohline/~~Math/MP_PolytropicConstant}}		{{Template:Math/MP_PolytropicConstant}}
	</td>		</td>
	<td>		<td>
	<font color="green">Polytropic Constant</font>; dimensions depend on choice of {{~~User~~:~~Tohline/~~Math/MP_PolytropicIndex}}		<font color="green">Polytropic Constant</font>; dimensions depend on choice of {{Template:Math/MP_PolytropicIndex}}
	[http://en.wikipedia.org/wiki/Polytrope Wikipedia Discussion]		[http://en.wikipedia.org/wiki/Polytrope Wikipedia Discussion]
	</td>		</td>
	<td>		<td>
	[~~http~~:~~//www.vistrails.org/index.php/User:Tohline/~~Math/MP_PolytropicConstant MP_PolytropicConstant]		[[Template:Math/MP_PolytropicConstant \| MP_PolytropicConstant]]
	</td>		</td>
	<td align="center">		<td align="center">

Jet53man: /* Model Parameters */

2021-07-01T17:28:36Z

Model Parameters

← Older revision		Revision as of 13:28, 1 July 2021
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~User~~:~~Tohline/~~Math/MP_PolytropicIndex}}		{{Template:Math/MP_PolytropicIndex}}
	</td>		</td>
	<td>		<td>
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	</td>		</td>
	<td>		<td>
	[~~http~~:~~//www.vistrails.org/index.php/User:Tohline/~~Math/MP_PolytropicIndex MP_PolytropicIndex]		[[Template:Math/MP_PolytropicIndex \| MP_PolytropicIndex]]
	</td>		</td>
	<td align="center">		<td align="center">

Jet53man: /* Model Parameters */

2021-07-01T17:24:39Z

Model Parameters

← Older revision		Revision as of 13:24, 1 July 2021
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	<td>		<td>
	<font color="green">Mean molecular weight</font>; dimensionless;		<font color="green">Mean molecular weight</font>; dimensionless;
	defined such that {{~~User~~:~~Tohline/~~Math/MP_MeanMolecularWeight}} = {{~~User~~:~~Tohline/~~Math/VAR_Density01}}/({{~~User~~:~~Tohline/~~Math/C_AtomicMassUnit}}{{~~User~~:~~Tohline/~~Math/VAR_NumberDensity01}} ).		defined such that {{Template:Math/MP_MeanMolecularWeight}} = {{Template:Math/VAR_Density01}} / ({{Template:Math/C_AtomicMassUnit}}{{Template:Math/VAR_NumberDensity01}}).
	</td>		</td>
	<td>		<td>
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~User~~:~~Tohline/~~Math/MP_ElectronMolecularWeight}}		{{Template:Math/MP_ElectronMolecularWeight}}
	</td>		</td>
	<td>		<td>
	<font color="green">Molecular weight of electrons</font>; dimensionless; <br />		<font color="green">Molecular weight of electrons</font>; dimensionless; <br />
	defined such that {{~~User~~:~~Tohline/~~Math/MP_ElectronMolecularWeight}} = {{~~User~~:~~Tohline/~~Math/VAR_Density01}}/({{~~User~~:~~Tohline/~~Math/C_AtomicMassUnit}} <math>N_e</math>), where <math>N_e</math> is the number density of electrons.		defined such that {{Template:Math/MP_ElectronMolecularWeight}} = {{Template:Math/VAR_Density01}} / ({{Template:Math/C_AtomicMassUnit}} <math>N_e</math>), where <math>N_e</math> is the number density of electrons.
	</td>		</td>
	<td>		<td>
	[~~http~~:~~//www.vistrails.org/index.php/User:Tohline/~~Math/MP_ElectronMolecularWeight MP_ElectronMolecularWeight]		[[Template:Math/MP_ElectronMolecularWeight \| MP_ElectronMolecularWeight]]
	</td>		</td>
	<td align="center">		<td align="center">

Jet53man: /* Model Parameters */

2021-07-01T17:04:34Z

Model Parameters

← Older revision		Revision as of 13:04, 1 July 2021
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~User~~:~~Tohline/~~Math/MP_MeanMolecularWeight}}		{{Template:Math/MP_MeanMolecularWeight}}
	</td>		</td>
	<td>		<td>
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	</td>		</td>
	<td>		<td>
	[~~http~~:~~//www.vistrails.org/index.php/User:Tohline/~~Math/MP_MeanMolecularWeight MP_MeanMolecularWeight]		[[Template:Math/MP_MeanMolecularWeight \| MP_MeanMolecularWeight]]
	</td>		</td>
	<td align="center">		<td align="center">

Jet53man: /* Model Parameters */

2021-07-01T17:01:23Z

Model Parameters

← Older revision		Revision as of 13:01, 1 July 2021
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	<tr>		<tr>
	<td align="center">		<td align="center">
	{{~~User~~:~~Tohline/~~Math/MP_AdiabaticIndex}}		{{Template:Math/MP_AdiabaticIndex}}
	</td>		</td>
	<td>		<td>
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	</td>		</td>
	<td>		<td>
	[~~http~~:~~//www.vistrails.org/index.php/User:Tohline/~~Math/MP_AdiabaticIndex MP_AdiabaticIndex]		[[Template:Math/MP_AdiabaticIndex\|MP_AdiabaticIndex]]
	</td>		</td>
	<td align="center">		<td align="center">