| 11. | The open intervals coincide with the open sets of the real line in its standard topology.
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| 12. | The strings and the bassoon play arpeggio motifs in open intervals such as fifths and major sixths.
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| 13. | Let \ mathcal { I } be the open interval in the hypothesis with endpoint " c ".
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| 14. | The space of representations for a given triangle group ( modulo conjugacy ) is parametrized by a half-open interval.
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| 15. | In practice, however, open sets are usually chosen to be similar to the open intervals of the real line.
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| 16. | It is a sufficient, but not necessary condition for this equality to hold, for example, a half-open interval satisfies.
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| 17. | The notation may be used for other purposes, most notably as denoting open intervals on the real number line.
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| 18. | In topology, an "'open set "'is an abstract concept generalizing the idea of an open interval in the real line.
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| 19. | It is in the " rewriting " step that the assumption of rectangles being made of half-open intervals is used.
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| 20. | Sturm's theorem then states that for two real numbers, the number of distinct roots of in the half-open interval is.
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