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 Proof that π is irrational In the 1760's, Johann Heinrich Lambert proved that the number (pi) is irrational: that is, it cannot be expressed as a fraction "a"/"b", where "a" is an integer and "b" is a non-zero integer. In the 19th century, Charles Hermite found a proof that requires no prerequisite knowledge beyond basic calculus. Three simplifications of Hermite's proof are due to Mary Cartwright, Ivan Niven, and Nicolas Bourbaki. Another proof, which is a simplification of Lambert's proof, is due to Miklós Laczkovich. In 1882, Ferdinand von Lindemann proved that is not just irrational, but transcendental as well.