Pathological (mathematics) - Alchetron, the free social encyclopedia
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Pathological (mathematics) - Alchetron, the free social encyclopedia
In mathematics, a pathological phenomenon is one whose properties are considered atypically bad or counterintuitive the opposite is wellbehaved. A notable case is the Alexander horned sphere, a counterexample showing that topologically embedding the sphere S2 in R3 may fail to separate the space
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navamienterprises on Instagram: "Devil functions" in mathematics refer to "pathological" functions—those that defy normal intuition about continuity, differentiability, and measurement. The most famous example is the Cantor function (or Devil's staircase), but the term is often associated with other complex structures like the Devil's curve. The Cantor function ( c(x)c open paren x close paren 𝑐(𝑥)), or Devil's Staircase, is a continuous, monotonic, surjective function mapping [0,1]→[0,1]open
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