| 11. | If this is the case, then the resolvent set actually contains a sector of the form
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| 12. | It is not known if there is an always separable resolvent for every group of permutations.
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| 13. | Using the language of Galois theory, this can also be understood in terms of Lagrange resolvents.
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| 14. | In this space " L " is defined on sufficiently smooth functions which satisfy the above resolvent
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| 15. | Lagrange's method did not extend to quintic equations or higher, because the resolvent had higher degree.
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| 16. | First, the sum over functions with differences of eigenvalues in the denominator evokes the resolvent in Fredholm theory.
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| 17. | Higher-order perturbations resemble this form, with an additional sum over a resolvent appearing at each order.
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| 18. | This does not mean that every group must be checked : every resolvent can cancel out many possible groups.
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| 19. | Such integral equations may be solved by means of the resolvent kernel, so that the potential may be written as
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| 20. | The clause produced by the resolution rule is called the " resolvent " of the two input clauses.
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