Emetophobia vomiting, thus inducing a phobia." In an internet survey conducted by Dr. Joshua D. Lipsitz "et al." given to emetophobic people, respondents gave many different reasons as to why they became emetophobic. Among some of the causes listed were several severe bouts of vomiting as children and being firsthand witnesses to many severe vomiting in others due to illness, pregnancy or alcoholism. There are two assessment tools used to diagnose emetophobia: the Specific Phobia of Vomiting inventory and the Emetophobia Questionnaire. They are self-report questionnaires that focus on a different range of symptoms. There have been a limited number of
Proof that e is irrational 1. For all terms with we have the upper estimate This inequality is strict for every "n" ≥ "b" + 2. Changing the index of summation to "k" = "n" – "b" and using the formula for the infinite geometric series, we obtain Since there is no integer strictly between 0 and 1, we have reached a contradiction, and so "e" must be irrational. Q.E.D. Another proof can be obtained from the previous one by noting that and this inequality is equivalent to the assertion that "bx" < 1. This is impossible, of course, since "b" and "x" are natural