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This topic has appeared in the trending rankings 1 time(s) in the past year. While it does not trend frequently, its appearance suggests a renewed or concentrated surge of public interest.
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Non-analytic_smooth_function entered the ranking for the first time today at position #. This is its highest position ever recorded.
This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-08-19 and was most recently seen on 2026-08-19.
In real analysis, a smooth function is infinitely differentiable at each point in its domain, while a real analytic function is, at each point in its domain, the limit of a convergent power series in a neighbourhood of that point. All real analytic functions are smooth, but there exist smooth real functions that are not real analytic, as given below.
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