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