query: does there exist a continuous function that follow these sentences?
positive_passages.docid: 234
positive_passages.text: No continuous function switches $\mathbb{Q}$ and the irrationals
negative_passages.docid: 71487
negative_passages.text: Real Analysis: Continuity of a Composition Function
negative_passages.docid: 49099
negative_passages.text: Constructing a continuous function whose graph seems 'special'
negative_passages.docid: 7450
negative_passages.text: Can a continuous real function take each value exactly 3 times?
negative_passages.docid: 33330
negative_passages.text: Continuous Functions from $\mathbb{R}$ to $\mathbb{Q}$
negative_passages.docid: 2142
negative_passages.text: Finding a set of continuous functions with a certain property 2
negative_passages.docid: 53738
negative_passages.text: Monotone functions and continuity
negative_passages.docid: 132730
negative_passages.text: Is there an everywhere discontinuous increasing function?
negative_passages.docid: 50111
negative_passages.text: non-continuous function satisfies $f(x+y)=f(x)+f(y)$
negative_passages.docid: 145017
negative_passages.text: Example of a function $f$ which is nowhere continuous but $|f|$ should be continuous at all points
negative_passages.docid: 11828
negative_passages.text: continuous functions on $\mathbb R$ such that $g(x+y)=g(x)g(y)$
negative_passages.docid: 118048
negative_passages.text: Can a function with just one point in its domain be continuous?
negative_passages.docid: 125024
negative_passages.text: Is this function uniformly continuous?
negative_passages.docid: 56290
negative_passages.text: Two consecutive gerunds? -ing -ing?
negative_passages.docid: 148931
negative_passages.text: Constructing a function that is continuous and has a max on an open interval, but is not necessarily increasing immediately to the left of the max.
negative_passages.docid: 23965
negative_passages.text: Function which preserves closed-boundedness and path-connectedness continuous?
negative_passages.docid: 142232
negative_passages.text: Functional Analysis. Continuous extensions of linear functionals.