query: which functions can be obtained as a composition of a continuous function with itself?
positive_passages.docid: 144042
positive_passages.text: On the functional square root of $x^2+1$
negative_passages.docid: 41690
negative_passages.text: Products of Continuous functions: Topology
negative_passages.docid: 92314
negative_passages.text: When does function composition commute?
negative_passages.docid: 97619
negative_passages.text: Which function ($f$) is continuous nowhere but $|f(x)|$ is continuous everywhere?
negative_passages.docid: 125788
negative_passages.text: A function with a property $f(x+y)=f(x)f(y)$
negative_passages.docid: 120947
negative_passages.text: continuous real-valued function
negative_passages.docid: 133498
negative_passages.text: Show that Function Compositions Are Associative
negative_passages.docid: 34344
negative_passages.text: Is a function that maps every compact set to a compact set continuous?
negative_passages.docid: 68165
negative_passages.text: Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point?
negative_passages.docid: 21068
negative_passages.text: Is composition of measurable functions measurable?
negative_passages.docid: 80210
negative_passages.text: It is posible to have a function $f$ with the following property?
negative_passages.docid: 12349
negative_passages.text: a construction of a continuous function from a normal space to [0,1]
negative_passages.docid: 145785
negative_passages.text: Sets of functions closed within composition.
negative_passages.docid: 147516
negative_passages.text: Continuous function whose right hand derivative equals 0 is constant?
negative_passages.docid: 36983
negative_passages.text: Does there exist a continuous function such that f(x) is rational for every irrational x, and f(x) is irrational for every rational x?
negative_passages.docid: 107609
negative_passages.text: Function whose third derivative is itself.
negative_passages.docid: 33114
negative_passages.text: Uniqueness of a continuous extension of a function into a Hausdorff space