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.
Irrational number can never be expressed as a quotient of integers "m"/"n" with "n" ≠ 0. Cases such as log 2 can be treated similarly. Almost all irrational numbers are transcendental and all real transcendental numbers are irrational (there are also complex transcendental numbers): the article on transcendental numbers lists several examples. So "e" and π are irrational for all nonzero rational "r", and, e.g., "e" is irrational, too. Irrational numbers can also be found within the countable set of real algebraic numbers (essentially defined as the real roots of polynomials with integer coefficients), i.e., as real solutions of polynomial equations where