We prove the result stated in the title; it is equivalent to the existence of a regular point of the sub-Riemannian exponential mapping. We also prove that the metric is analytic on an open everywhere dense subset in the case of a complete real-analytic sub-Riemannian manifold.

UNLABELLED   BACKGROUND During the month of Ramadan, millions of Muslims abstain from food and drink daily from dawn to sunset and people actually experience repeated cycles of fasting and refeeding. Menstruation is a normal physiological process that its regularity is controlled by hypothalamic-pituitary-ovarian axis. Etiology of menstrual dysfunction includes weight loss, hypoleptinemia, ab...

This thesis is a Biblical Exegesis of Colossians 3:1-3 investigating its significance for Christians today. It explored: the historical, cultural and literary context of Colossians and the church in Colossae; in depth exegetical analysis to determine authorship and its original meaning, including preliminary analysis, contextual analysis, verbal analysis, literary analysis, an exegetical synthe...

We show that theories presented by a set of ground equations with several associative-commutative (AC) symbols always admit a nite canonical system. This result is obtained through the construction of a reduction ordering which is AC-compatible and total on the set of congruence classes generated by the associativity and commutativity axioms. As far as we know, this is the rst ordering with suc...

This article discusses the outlook of Judeo-Persian Karaite authors on Rabbanite law and rabbinic literature based an exegetical corpus written in Early from eleventh century, which mostly remains manuscript form. A close examination this demonstrates authors’ complex attitude towards their contemporary Rabbanites early Jewish literature. By relying teachings community Jerusalem (the “Mourners ...