Emetophobia up. Some may have both. Some may have anxiety which makes them feel like they will throw up when they actually might not. People with emetophobia usually suffer from anxiety; they often may scream or cry when someone or something has been sick. The root word for emetophobia is "emesis", from the Greek word "emein", which means "an act or instance of vomiting", with "-phobia" meaning "an exaggerated usually inexplicable fear of a particular object, class of objects, or situation." People with emetophobia frequently report a vomit related traumatic event, such as a long bout of stomach flu, accidentally vomiting
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