...
where
| LaTeX Math Inline |
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| body | --uriencoded--\displaystyle c(p) = \frac%7B1%7D%7B\rho%7D \frac%7Bd\rho%7D%7Bdp%7D |
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is
fluid compressibility.
By using the Dirac delta function property: The right-hand side of equation
| LaTeX Math Block Reference |
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can be transformed in the following way by using equality | LaTeX Math Inline |
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| body | f(x) \cdot \delta(x-x_0) = f(x_0) \cdot \delta(x-x_0) |
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the right-hand side of equation | LaTeX Math Block Reference |
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can be transformed in the following way:
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| anchor | right_hand_side |
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| alignment | left |
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\sum_k \rho(p(t, {\bf r})) \cdot q_k(t) \cdot \delta({\bf r}-{\bf r}_k)
= \sum_k \rho(p(t, {\bf r}_k)) \cdot q_k(t) \cdot \delta({\bf r}-{\bf r}_k)
= \sum_k \rho(p(t, {\bf r})) \cdot q_k(t) \cdot \delta({\bf r}-{\bf r}_k)
= \rho(p) \cdot \sum_k q_k(t) \cdot \delta({\bf r}-{\bf r}_k) |
...
