KnowraWeierstrass functionLinked fromLinked fromThe 10 pages that link to Weierstrass function, each with the reason it gives.All 10Broader topic 4Related 2Compared with 4ContinuityBroader topic: It demonstrates that continuity alone does not ensure a tangent or ordinary smoothness.DifferentiabilityBroader topic: It shows that continuity across a whole domain does not guarantee a derivative anywhere.Karl WeierstrassBroader topic: Its pathological behavior challenged assumptions about how smooth continuous functions must be.Differentiable functionBroader topic: It is a canonical explicit example separating continuity from differentiability.