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 between 2 and 3: We then analyze a blown-up difference "x" of the series representing "e" and its strictly smaller partial sum, which approximates the limiting value "e". By choosing the magnifying factor to be the factorial of "b", the fraction ⁄ and the partial sum are turned into integers, hence "x" must be a positive integer. However, the fast convergence of the series representation implies that the magnified approximation error "x" is still strictly smaller than 1. From this contradiction we deduce that "e" is irrational. Suppose that "e" is a rational number. Then there exist positive integers "a"