| 1. | Stronger statement than differentiability can be made regarding the resolvent map.
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| 2. | This uses the resolvent of the Feller semigroup, defined below.
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| 3. | The alpha centrality replaces the adjacency matrix with its resolvent.
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| 4. | The idea of a determinant was developed by Lagrange resolvents.
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| 5. | This subsection outlines properties of the resolvent map that are essential in this context.
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| 6. | The Klein group can be understood in terms of the Lagrange resolvents of the quartic.
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| 7. | It will be shown below that the resolvent mapping is holomorphic on the resolvent set.
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| 8. | It will be shown below that the resolvent mapping is holomorphic on the resolvent set.
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| 9. | As stated above, on such ?, the resolvent map admits a power series representation
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| 10. | The Laurent series of the resolvent mapping centered at " ? " shows that
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