| 1. | The fluid phase equations are solved using a finite volume approach.
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| 2. | Then the explicit finite volume expressions of the original convective variables are:
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| 3. | Let us restrict to the case of hyperbolic manifolds of finite volume.
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| 4. | The manifold has finite volume if and only if ? is a lattice.
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| 5. | Additionaly, it means that individual elements will have defined and finite volume.
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| 6. | Again we can sub-divide the spatial domain into finite volumes or cells.
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| 7. | Isoperimetric constant may be defined more generally for noncompact Riemannian manifolds of finite volume.
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| 8. | If you allow fractals then the area can go infinite for a finite volume.
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| 9. | The manifold is of finite volume if and only if its thick part is compact.
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| 10. | On the other hand, you say that " space has a finite volume ".
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