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 if complex number exponentiation is used). An example that provides a simple constructive proof is The base of the left side is irrational and the right side is rational, so one must prove that the exponent on the left side, formula_17, is irrational. This is so because, by the formula relating logarithms with different bases, which we can assume, for the sake of establishing a contradiction, equals a ratio "m/n" of positive integers. Then formula_19 hence formula_20 hence formula_21 hence formula_22, which is a contradictory pair of prime factorizations and hence violates the fundamental theorem of arithmetic (unique prime factorization).