| 11. | Solving the data-flow equations starts with initializing all in-states and out-states to the empty set.
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| 12. | For this it uses Feynman diagrams, renormalisation flow equations, and other methods from mathematical physics.
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| 13. | However, the flow equation determines a vector field on that theory space which can be investigated.
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| 14. | It is the theory space and the RG flow equations that determine possible UV fixed points.
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| 15. | Solving the data flow equations starts with initializing all in-states and out-states to the empty set.
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| 16. | The transient state form of this flow equation, known commonly as Richards equation writes in 1-D:
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| 17. | The generalized flow equation provides the analytical foundation for reservoir engineering that exists to this day.
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| 18. | The unsteady flow equation solver was adapted from Dr . Robert L . Barkau s UNET package.
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| 19. | This yields a set of data-flow equations:
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| 20. | However, in general the Ricci flow equations lead to singularities of the metric after a finite time.
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