| 41. | This yields the following system of equations:
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| 42. | This choice eliminates the need for the constraint force to enter into the resultant system of equations.
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| 43. | This creates a system of equations from which the probabilities of choosing each strategy can be derived.
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| 44. | And adapted it to the case of a plasma, leading to the systems of equations shown below.
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| 45. | The equilibrium system of equations then is:
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| 46. | This gives us the system of equations
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| 47. | Following the example of Y . C . Patel ( 1976 ) the resulting system of equations,
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| 48. | There is a somewhat different theory for first order systems of equations coming from systems of conservation laws.
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| 49. | The fact that the set of the solutions of this system of equations is irreducible needs a proof.
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| 50. | This system of equations is underdetermined.
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