User:Tohline/Appendix/Equation templates

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Whitworth's (1981) Isothermal Free-Energy Surface
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Key Equations Used Throughout H_Book

To insert a given equation into any Wiki document, type ...
{{ User:Tohline/Math/Template_Name }}

Template_Name

Resulting Equation

EQ_Continuity01

LSU Key.png

<math>\frac{d\rho}{dt} + \rho \nabla \cdot \vec{v} = 0</math>

EQ_Euler01

LSU Key.png

<math>\frac{d\vec{v}}{dt} = - \frac{1}{\rho} \nabla P - \nabla \Phi</math>

EQ_FirstLaw01

LSU Key.png

<math>T \frac{ds}{dt} = \frac{d\epsilon}{dt} + P \frac{d}{dt} \biggl(\frac{1}{\rho}\biggr)</math>

EQ_Poisson01

LSU Key.png

<math>\nabla^2 \Phi = 4\pi G \rho</math>

 

Whitworth's (1981) Isothermal Free-Energy Surface

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Recommended citation:   Tohline, Joel E. (2021), The Structure, Stability, & Dynamics of Self-Gravitating Fluids, a (MediaWiki-based) Vistrails.org publication, https://www.vistrails.org/index.php/User:Tohline/citation