Emetophobia Frank M. Datillio's clinical case study, a situation where anorexia results from emetophobia is mentioned. Datillio says, "...in one particular case report, atypical anorexia in several adolescent females occurred as a result of a fear of vomiting that followed a viral illness as opposed to the specific desire to lose weight or because of an anxiety reaction." In cases such as this, many emetophobes may also have avoidant/restrictive food intake disorder (ARFID), which is characterized by a general disinterest in food, sensory issues with food (taste, texture, look, smell) or a fear of adverse consequences from eating (vomiting or choking).
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