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 if complex number exponentiation is used). An example that provides a simple constructive proof is The base of the left side is irrational and the right side is rational, so one must prove that the exponent on the left side, formula_17, is irrational. This is so because, by the formula relating logarithms with different bases, which we can assume, for the sake of establishing a contradiction, equals a ratio "m/n" of positive integers. Then formula_19 hence formula_20 hence formula_21 hence formula_22, which is a contradictory pair of prime factorizations and hence violates the fundamental theorem of arithmetic (unique prime factorization).