query: find f(x), such that f(f(x)) = e^x, f is continuous and monotonous
positive_passages.docid: 26677
positive_passages.text: thoughts about $f(f(x))=e^x$
negative_passages.docid: 42699
negative_passages.text: Solve for $f(x)$ if $f(f(x))=6x-f(x)$
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: 33488
negative_passages.text: A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
negative_passages.docid: 74950
negative_passages.text: Show a function for which $f(x + y) = f(x) + f(y) $ is continuous at zero if and only if it is continuous on $\mathbb R$
negative_passages.docid: 126931
negative_passages.text: Find $f(x)$ such that $f(x)+f\left(\frac{1}{x}\right)=f(x)\cdot f\left(\frac{1}{x}\right)$
negative_passages.docid: 131866
negative_passages.text: Determine whether the function $f(x) = e^x \cos (1/x)$ is uniformly continuous on $A = (0,1)$.
negative_passages.docid: 18082
negative_passages.text: A continuous function that attains neither its minimum nor its maximum at any open interval is monotone
negative_passages.docid: 152563
negative_passages.text: Set of discontinuity of monotone function is countable
negative_passages.docid: 27960
negative_passages.text: Is there a name for function with the exponential property $f(x+y)=f(x) \cdot f(y)$?
negative_passages.docid: 132093
negative_passages.text: Solve $f(f(x))=f(x)$
negative_passages.docid: 25010
negative_passages.text: Argue that there exists a continuous function $g: \mathbb{R} \rightarrow \mathbb{R}$ which satisfies $g(x) = \frac{1-e^{-2x^2}}{x^2}$ for $x \neq 0$
negative_passages.docid: 99917
negative_passages.text: What function satisfies $F'(x) = F(2x)$?
negative_passages.docid: 115636
negative_passages.text: Show that $f$ is either injective or a constant function.
negative_passages.docid: 126878
negative_passages.text: Monotonic function satisfying darboux property $\Rightarrow$ continuous
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: 2142
negative_passages.text: Finding a set of continuous functions with a certain property 2