Emetophobia activities so they avoid any situations with alcohol or dining out in restaurants. Emetophobics may also limit exposure to children for fear of germs. Females who suffer from this disorder delayed pregnancy or avoided it altogether because of the fear of morning sickness. People who have a fear of vomiting may avoid travel because of the worry about motion sickness or others experiencing it around them. They may also fear roller coasters for the same reason. Dr. Lipsitz "et al".'s findings also showed that those afflicted with emetophobia often have difficulties comfortably leading a normal life. Many find that they
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