| 11. | This curve can be broken up as a superposition of finitely many piecewise smooth Jordan curves.
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| 12. | The relationship of the residue theorem to Stokes'theorem is given by the Jordan curve theorem.
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| 13. | The Jordan curve theorem is named after the mathematician Camille Jordan, who found its first proof.
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| 14. | To say that Gauss did not prove the Jordan curve theorem in his winding number argument is disingenuous.
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| 15. | Known as the Jordan curve theorem, it exemplifies a mathematical proposition easily stated but difficult to prove.
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| 16. | For a quasi-Fuchsian group . the limit set is a Jordan curve whose complement has two components.
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| 17. | If a coloring of plane consists of regions bounded by Jordan curves, then at least six colors are required.
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| 18. | The prototype here is the Jordan curve theorem, which topologically concerns the complement of a circle in the Riemann sphere.
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| 19. | First we choose the Jordan curves such that ? 1 lies in the " inside " of ? 2.
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| 20. | An open neighbourhood of ? * " ? is diffeomorphic to an open neighbourhood of corresponding Jordan curves in a torus.
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