Emetophobia in public or having to witness someone else vomit, as the start of the emetophobia. They may also be afraid of hearing that someone is feeling like vomiting or that someone has vomited, usually in conjunction with the fears of seeing someone vomit or seeing vomit. There is a strong agreement in the scientific community that there is no specific cause of emetophobia. Some emetophobics report a traumatic experience with vomiting, always in childhood. Some suggest that sufferers are victims of childhood abuse – sexual or physical. While this is occasionally true, it seems to be no more prevalent than
Particular values of the Riemann zeta function for formula_24, For the first few odd natural numbers one has It is known that "ζ"(3) is irrational (Apéry's theorem) and that infinitely many of the numbers "ζ"(2"n" + 1) ("n" ∈ N) are irrational. There are also results on the irrationality of values of the Riemann zeta function at the elements of certain subsets of the positive odd integers; for example, at least one of "ζ"(5), "ζ"(7), "ζ"(9), or "ζ"(11) is irrational. The positive odd integers of the zeta function appear in physics, specifically correlation functions of antiferromagnetic XXX spin chain. Most of the identities following below are provided