Emetophobia Exposure methods, using video-taped exposure to others vomiting, hypnosis, exposure to nausea and exposure to cues of vomiting, systemic behavior therapy, psychodynamic and psychotherapy have also shown positive effects for the treatment of emetophobia. However, in some cases it may cause re-traumatization, and the phobia may become more intense as a result. Emetophobics may also suffer from other complicating disorders and phobias, such as social anxiety, fear of flying and agoraphobia. These three are very common, because people who fear vomiting are often terrified of doing so, or encountering it, in a public place. Therefore, they may restrict their social
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