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).
Irrational number Consider ; if this is rational, then take "a" = "b" = . Otherwise, take "a" to be the irrational number and "b" = . Then "a" = () = = = 2, which is rational. Although the above argument does not decide between the two cases, the Gelfond–Schneider theorem shows that is transcendental, hence irrational. This theorem states that if "a" and "b" are both algebraic numbers, and "a" is not equal to 0 or 1, and "b" is not a rational number, then any value of "a" is a transcendental number (there can be more than one value