query: Existence of an antiderivative for a continuous function on an arbitrary subset of $\mathbb{R}$
positive_passages.docid: 153886
positive_passages.text: Existence of antiderivative on a part $I$ of $\mathbb{R}$
negative_passages.docid: 95321
negative_passages.text: Subspaces of all real-valued continuous functions on $\mathbb{R}^1$
negative_passages.docid: 113450
negative_passages.text: Construction of a function which is not the pointwise limit of a sequence of continuous functions
negative_passages.docid: 155618
negative_passages.text: Slightly changing the formal definition of continuity of $f: \mathbb{R} \to \mathbb{R}$?
negative_passages.docid: 63701
negative_passages.text: An example of a regular function over an open set
negative_passages.docid: 57839
negative_passages.text: Real analysis: density and continuity
negative_passages.docid: 131992
negative_passages.text: A problem on continuous functions
negative_passages.docid: 50730
negative_passages.text: Integral of bounded continuous function on $R$
negative_passages.docid: 143354
negative_passages.text: Prove that there exists $c\in\mathbb{R}$ such that $f'(c)=f(c)$
negative_passages.docid: 52798
negative_passages.text: Finding counterexamples: bijective continuous functions that are not homeomorphisms
negative_passages.docid: 12349
negative_passages.text: a construction of a continuous function from a normal space to [0,1]
negative_passages.docid: 72644
negative_passages.text: Continuous injective map $f:\mathbb{R}^3 \to \mathbb{R}$?
negative_passages.docid: 21269
negative_passages.text: Bijective continuous function between $(0 ,\infty)$ and $\mathbb{R}$.
negative_passages.docid: 154572
negative_passages.text: Continuity of a function at an isolated point
negative_passages.docid: 80827
negative_passages.text: Let $A$ be a nonempty subset of $\mathbb{R}$. Prove...
negative_passages.docid: 11167
negative_passages.text: A counterexample of a differentiable function on an interval whose derivative is discontinuous
negative_passages.docid: 58816
negative_passages.text: Existence of a continuous function which does not achieve a maximum.