query: Find a continuous function over reals that takes on every value exactly three times
positive_passages.docid: 26169
positive_passages.text: Function $f: \mathbb{R} \to \mathbb{R}$ that takes each value in $\mathbb{R}$ three times
negative_passages.docid: 91398
negative_passages.text: Continuous function on R which tends to infinity on open interval must have a minimum
negative_passages.docid: 80656
negative_passages.text: Is it possible to iterate a function transfinite times?
negative_passages.docid: 113740
negative_passages.text: Find a uniformly continuous function such that $a_{n+1}=f(a_n)$
negative_passages.docid: 99179
negative_passages.text: Continuous function with compact domain has continuous inverse
negative_passages.docid: 143174
negative_passages.text: property of continuous function
negative_passages.docid: 69876
negative_passages.text: For every $n \in \mathbb{N}$, find a function $f$ which is differentiable $n$ times at $0$, but not $n+1$ times.
negative_passages.docid: 120599
negative_passages.text: Points of a Measure Zero Sets Covered by Intervals Infinitely Many Times
negative_passages.docid: 109942
negative_passages.text: Find continuous functions such that $f(x+y)+f(x-y)=2[f(x)+f(y)]$
negative_passages.docid: 55679
negative_passages.text: Does there exist a continuous function from [0,1] to R that has uncountably many local maxima?
negative_passages.docid: 72644
negative_passages.text: Continuous injective map $f:\mathbb{R}^3 \to \mathbb{R}$?
negative_passages.docid: 623
negative_passages.text: variation of a function over countable intervals
negative_passages.docid: 118048
negative_passages.text: Can a function with just one point in its domain be continuous?
negative_passages.docid: 139763
negative_passages.text: A function takes every function value twice - proof it is not continuous
negative_passages.docid: 79285
negative_passages.text: Does there exist a continuous surjection from $\Bbb R^3-S^2$ to $\Bbb R^2-\{(0,0)\}$?
negative_passages.docid: 111990
negative_passages.text: Continuous function from $(0, 1]$ onto $(0, 1)$?
negative_passages.docid: 47992
negative_passages.text: Is there a function $f\colon\mathbb{R}\to\mathbb{R}$ such that every non-empty open interval is mapped onto $\mathbb{R}$?