Ochlophobia going to sports games, or going to the mall. Ochlophobia Ochlophobia ("Fear of Crowds") and demophobia ("Fear of Unruly Mobs") are terms for types of social phobia or social anxiety disorder whose sufferers have a fear of crowds. Sufferers may offer various rationalizations of the phobia, such as the fear being trampled in a crowd, getting a deadly disease from people within the crowd, getting lost in the crowd, or feeling insignificant when surrounded by a crowd. People who are shy and introverted are most likely to experience ochlophobia, but not all introverts have anxiety problems. Ochlophobic people are often
Proof that π is irrational Laczkovich to find a new and simpler proof of the fact that the tangent function has the continued fraction expansion that Lambert had discovered. Laczkovich's result can also be expressed in . In fact, Γ("k")"J"(2"x") = "x""f"("x"). So Laczkovich's result is equivalent to: If "x" ≠ 0 and if "x" is rational, then 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