Fear of fish footballer Paolo Di Canio describes finding that his then team-mate, Peter Grant suffered from ichthyophobia. During a practical joke, Di Canio describes Grant's fearful reaction after finding a salmon head in his bed. Grant told "The Independent" that item in his bed was in fact a "shark's head" and "to say I got a fright when I put my feet between the sheets is an understatement." The term "ichthyophobia" comes from the Greek ἰχθῦς - "ichthus", meaning "fish" and φόβος - "phobos", "fear". "Galeophobia" comes from the Greek γαλεός - "galeos", "small shark". Fear of fish Fear of fish or
Irrational rotation between the additive and multiplicative notations is the group isomorphism It can be shown that is an isometry. There is a strong distinction in circle rotations that depends on whether is rational or irrational. Rational rotations are less interesting examples of dynamical systems because if formula_4 and formula_5, then formula_6 when formula_7. It can also be shown that formula_8 when formula_9. Irrational rotations form a fundamental example in the theory of dynamical systems. According to the Denjoy theorem, every orientation-preserving -diffeomorphism of the circle with an irrational rotation number is topologically conjugate to . An irrational rotation is a measure-preserving