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Symmetrically continuous function : ウィキペディア英語版 | Symmetrically continuous function In mathematics, a function is symmetrically continuous at a point ''x : The usual definition of continuity implies symmetric continuity, but the converse is not true. For example, the function is symmetrically continuous at , but not continuous. Also, symmetric differentiability implies symmetric continuity, but the converse is not true just like usual continuity does not imply differentiability. == References ==
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