Haphephobia list of potential symptoms that those suffering from haphephobia may have includes: Haphephobia Haphephobia (also known as aphephobia, haphophobia, hapnophobia, haptephobia, haptophobia, thixophobia) is a rare specific phobia that involves the fear of touching or of being touched. This is often associated with a fear of sexual assault. reports that many boys who have been the victims of sexual abuse have a fear of being touched, quoting one victim who describes being touched as something that "burns like fire", causing him to freeze up or lash out. As with other phobias and anxiety conditions, haphephobia may come with anxiety and
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