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 Proof that π is irrational In the 1760's, Johann Heinrich Lambert proved that the number (pi) is irrational: that is, it cannot be expressed as a fraction "a"/"b", where "a" is an integer and "b" is a non-zero integer. In the 19th century, Charles Hermite found a proof that requires no prerequisite knowledge beyond basic calculus. Three simplifications of Hermite's proof are due to Mary Cartwright, Ivan Niven, and Nicolas Bourbaki. Another proof, which is a simplification of Lambert's proof, is due to Miklós Laczkovich. In 1882, Ferdinand von Lindemann proved that is not just irrational, but transcendental as well.