KnowraWeierstrass functionLinked fromLinked fromThe 10 pages that link to Weierstrass function, each with the reason it gives.All 10Broader topic 4Related 2Compared with 4Continuous functionCompared with: It demonstrates that continuity does not imply smoothness or differentiability.Lipschitz continuityCompared with: Its extreme oscillation contrasts with the regularity imposed by a Lipschitz bound.Weierstrass approximation theoremCompared with: It illustrates the theorem’s striking reach: even highly irregular continuous functions admit polynomial approximants.Rademacher's theoremCompared with: It shows continuity alone cannot replace the theorem’s Lipschitz condition.