Summary Of: Non-analytic smooth function

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mathematics | smooth functions | analytic functions | functions | real | converse | counterexample | | real number | real line | natural number | power series representation of the exponential function | functional equation | exponential function | mathematical induction | chain rule | reciprocal rule | origin | Taylor series | zero function | analytic | functions of a complex variable | holomorphic functions are analytic | analytic continuation | complex plane | essential singularity | great Picard theorem | | | Euclidean norm | Euclidean space | support | ball | compact support | mollifiers | generalized functions | Laurent Schwartz | distributions | differential geometry | analytic geometry | sheaf theory | differentiable manifold | fine | partitions of unity | Bump function | PlanetMath | Categories | Smooth functions |