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 π is irrational omitting the inductive definition of the functions "A" and taking as a starting point their expression as an integral. This proof uses the characterization of as the smallest positive zero of the sine function. Suppose that is rational, i.e. for some integers "a" and , which may be taken without loss of generality to be positive. Given any positive integer "n", we define the polynomial function: and, for each "x" ∈ ℝ let Claim 1: is an integer. Proof: Expanding "f" as a sum of monomials, the coefficient of "x" is a number of the form where "c" is an