Fear of trains the social norms of a realistic fear, this anxiety may be classified as a specific phobia about trains. "Campbell's Psychiatric Dictionary" puts fear of trains under the "vehicle phobia", together with fears of boats, airplanes, automobiles, and other forms of transportation. A 1913 short story "Terror" by Jun'ichirō Tanizaki is a first-person narrative of a young man suffering of the morbid fear of travel in trains and streetcars. Tanizaki uses the German word , "railroad sickness". Other travel-related anxieties include: Other transport-related disorders include: Fear of trains The fear of trains is anxiety and fear associated with trains, railways, and
Irrational number to show that π is irrational, whence it follows immediately that π is irrational also. The existence of transcendental numbers was first established by Liouville (1844, 1851). Later, Georg Cantor (1873) proved their existence by a different method, which showed that every interval in the reals contains transcendental numbers. Charles Hermite (1873) first proved "e" transcendental, and Ferdinand von Lindemann (1882), starting from Hermite's conclusions, showed the same for π. Lindemann's proof was much simplified by Weierstrass (1885), still further by David Hilbert (1893), and was finally made elementary by Adolf Hurwitz and Paul Gordan. The square root of 2