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 sine and cosine function are given by sin' = cos and cos' = −sin. Hence the product rule implies By the fundamental theorem of calculus Since and (here we use the above-mentioned characterization of as a zero of the sine function), Claim 2 follows. Conclusion: Since and for (because is the "smallest" positive zero of the sine function), Claims 1 and 2 show that is a "positive" integer. Since and for , we have, by the original definition of "f", which is smaller than 1 for large "n", hence for these "n", by Claim 2. This is impossible for the