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
Irrational number to show that π is irrational, whence it follows immediately that π is irrational also. The existence of transcendental numbers was first established by Liouville (1844, 1851). Later, Georg Cantor (1873) proved their existence by a different method, which showed that every interval in the reals contains transcendental numbers. Charles Hermite (1873) first proved "e" transcendental, and Ferdinand von Lindemann (1882), starting from Hermite's conclusions, showed the same for π. Lindemann's proof was much simplified by Weierstrass (1885), still further by David Hilbert (1893), and was finally made elementary by Adolf Hurwitz and Paul Gordan. The square root of 2