Emetophobia in the general population (Christie, 2004). Some experts believe that emetophobia may be linked to worries about lack of control. Many people try to control themselves and their environment in every possible way, but vomiting is difficult or impossible to control. There are many factors that can cause a legitimate case of emetophobia. Emetophobics are indeed severely mentally ill. Dr. Angela L. Davidson "et al". conducted an experiment where it was concluded through various surveys that people suffering from emetophobia are more likely to have an internal locus of control pertaining to their everyday life as well as health-related matters.
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).