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 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