Emetophobia studies in regard to emetophobia. Victims of the phobia usually experience fear before vomiting but feel less afterwards. The fear comes back, however, if the victim fears they will throw up again. Also noted in the emetophobia internet survey was information about medications. People were asked whether they would consider taking anxiety medication to potentially help their fear, and many in the study answered they wouldn't for fear that the drugs would make them nauseated. Others, however, stated that some psychotropic medications (such as benzodiazepines and antidepressants) did help with their phobia, and some said gastrointestinal medications were also beneficial.
Proof that π is irrational omitting the inductive definition of the functions "A" and taking as a starting point their expression as an integral. This proof uses the characterization of as the smallest positive zero of the sine function. Suppose that is rational, i.e. for some integers "a" and , which may be taken without loss of generality to be positive. Given any positive integer "n", we define the polynomial function: and, for each "x" ∈ ℝ let Claim 1: is an integer. Proof: Expanding "f" as a sum of monomials, the coefficient of "x" is a number of the form where "c" is an