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 In 1761, Lambert proved that is irrational by first showing that this continued fraction expansion holds: Then Lambert proved that if "x" is non-zero and rational then this expression must be irrational. Since tan(/4) = 1, it follows that /4 is irrational and therefore that is irrational. A simplification of Lambert's proof is given below. This proof uses the characterization of as the smallest positive number whose half is a zero of the cosine function and it actually proves that is irrational. As in many proofs of irrationality, the argument proceeds by reductio ad absurdum. Consider the sequences ("A") and