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 In 1761, Lambert proved that is irrational by first showing that this continued fraction expansion holds: Then Lambert proved that if "x" is non-zero and rational then this expression must be irrational. Since tan(/4) = 1, it follows that /4 is irrational and therefore that is irrational. A simplification of Lambert's proof is given below. This proof uses the characterization of as the smallest positive number whose half is a zero of the cosine function and it actually proves that is irrational. As in many proofs of irrationality, the argument proceeds by reductio ad absurdum. Consider the sequences ("A") and