query: Function which is continuous exactly one point and differential exactly one point
positive_passages.docid: 19326
positive_passages.text: What makes induction a valid proof technique?
negative_passages.docid: 17223
negative_passages.text: Continuity of an inverse function.
negative_passages.docid: 79107
negative_passages.text: Give an example of a function $f: \mathbb{R} \to \mathbb{R}$ which is continuous only at $0$.
negative_passages.docid: 130019
negative_passages.text: Function that is continuous only on the transcendental numbers
negative_passages.docid: 83204
negative_passages.text: Is every $G_\delta$ set the set of continuity points of some function $f$?
negative_passages.docid: 118048
negative_passages.text: Can a function with just one point in its domain be continuous?
negative_passages.docid: 123981
negative_passages.text: Is it possible to write any bounded continuous function as a uniform limit of smooth functions
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: 11974
negative_passages.text: product of two non zero continuous function is zero
negative_passages.docid: 37303
negative_passages.text: Differential of a smooth function
negative_passages.docid: 27800
negative_passages.text: For continuous function $ f:\mathbb S^1 \to \mathbb R$ there exists uncountably many distinct points $x,y$ such that $f(x)=f(y)$
negative_passages.docid: 54797
negative_passages.text: Find the continuous function defined over $[0,1]$ such that $\int_0^1f(x){\rm d}x=1, \int_0^1 xf(x){\rm d}x=a$ and $\int_0^1x^2f(x){\rm d}x=a^2 .$
negative_passages.docid: 120947
negative_passages.text: continuous real-valued function
negative_passages.docid: 146929
negative_passages.text: smooth functions or continuous
negative_passages.docid: 131992
negative_passages.text: A problem on continuous functions
negative_passages.docid: 83338
negative_passages.text: Show that there's no continuous function that takes each of its values $f(x)$ exactly twice.
negative_passages.docid: 15487
negative_passages.text: Continuous function from a connected set?