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 Laczkovich to find a new and simpler proof of the fact that the tangent function has the continued fraction expansion that Lambert had discovered. Laczkovich's result can also be expressed in . In fact, Γ("k")"J"(2"x") = "x""f"("x"). So Laczkovich's result is equivalent to: If "x" ≠ 0 and if "x" is rational, then 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