query: Example of function that cannot be expressed as a power series
positive_passages.docid: 25370
positive_passages.text: Power series of a function
negative_passages.docid: 156839
negative_passages.text: Functions Which are non differentiable on a Given Set.
negative_passages.docid: 140752
negative_passages.text: Example of a recursive set $S$ and a total recursive function $f$ such that $f(S)$ is not recursive?
negative_passages.docid: 3978
negative_passages.text: How can you prove that a function has no closed form integral?
negative_passages.docid: 144772
negative_passages.text: Is there a recurrence relation which has no closed formula?
negative_passages.docid: 112491
negative_passages.text: Finding counterexamples for infinite series.
negative_passages.docid: 74482
negative_passages.text: Counterexample to Leibniz criterion for alternating series
negative_passages.docid: 133913
negative_passages.text: Power series and intervals of convergence
negative_passages.docid: 18825
negative_passages.text: Integrable but not differentiable function
negative_passages.docid: 57014
negative_passages.text: Existence of a power series converging non-uniformly to a continuous function
negative_passages.docid: 74339
negative_passages.text: Integrable function whose Fourier transform is not integrable
negative_passages.docid: 59279
negative_passages.text: Example of function that is differentiable, but the second derivative is not defined
negative_passages.docid: 100436
negative_passages.text: Examples of nowhere continuous functions
negative_passages.docid: 109674
negative_passages.text: If $(I-T)^{-1}$ exists, can it always be written in a series representation?
negative_passages.docid: 145549
negative_passages.text: Generalizing values which Euler's-totient function does not take
negative_passages.docid: 132165
negative_passages.text: "Polynomials" with non-integer exponents
negative_passages.docid: 78654
negative_passages.text: An example of a norm which can't be generated by an inner product