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 e is irrational Proof that e is irrational The number "e" was introduced by Jacob Bernoulli in 1683. More than half a century later, Euler, who had been a student of Jacob's younger brother Johann, proved that "e" is irrational; that is, that it cannot be expressed as the quotient of two integers. Euler wrote the first proof of the fact that "e" is irrational in 1737 (but the text was only published seven years later). He computed the representation of "e" as a simple continued fraction, which is Since this continued fraction is infinite and every rational number has a terminating continued