query: Is there a non-decreasing function that is discontinuous at every rational point?
positive_passages.docid: 28392
positive_passages.text: Construct a monotone function which has countably many discontinuities
negative_passages.docid: 133231
negative_passages.text: Discontinuity of Thomae Function on $\mathbb{Q}$
negative_passages.docid: 118048
negative_passages.text: Can a function with just one point in its domain be continuous?
negative_passages.docid: 137883
negative_passages.text: Cardinality of the set of all (real) discontinuous functions
negative_passages.docid: 91736
negative_passages.text: Explicit homeomorphism between open and closed rational intervals?
negative_passages.docid: 29647
negative_passages.text: Do there exist functions satisfying $f(x+y)=f(x)+f(y)$ that aren't linear?
negative_passages.docid: 58816
negative_passages.text: Existence of a continuous function which does not achieve a maximum.
negative_passages.docid: 20688
negative_passages.text: Discontinuous functions with closed graphs
negative_passages.docid: 150833
negative_passages.text: Discontinuities of the derivative of a differentiable function on closed interval
negative_passages.docid: 101230
negative_passages.text: Example of an increasing, integrable function $f:[0,1]\to\mathbb{R}$ which is discontinuous at all rationals?
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: 20568
negative_passages.text: Does the following have a solution for f(x,y)?
negative_passages.docid: 130748
negative_passages.text: Infinitely differentiable function with given zero set?
negative_passages.docid: 12556
negative_passages.text: A non-trivial, non-negative, function bounded below by its derivative with $f(0)=0$?
negative_passages.docid: 24306
negative_passages.text: Is there a continuous function $f(x)$ such that the inverse function is $1/f(x)$?
negative_passages.docid: 41841
negative_passages.text: Function with limits only at irrational points
negative_passages.docid: 49769
negative_passages.text: A function for which one-sided limits are zero and infinity