query: "Constant" points of an increasing function
positive_passages.docid: 28315
positive_passages.text: Monotone functions and non-vanishing of derivative
negative_passages.docid: 113343
negative_passages.text: $f$ is constant if derivative equals zero
negative_passages.docid: 17343
negative_passages.text: Function on $[a,b]$ that satisfies a Hölder condition of order $\alpha > 1 $ is constant
negative_passages.docid: 17234
negative_passages.text: Show that a continuous function has a fixed point
negative_passages.docid: 112409
negative_passages.text: If $f$ is continuous and $f'(x)\ge 0$, outside of a countable set, then $f$ is increasing
negative_passages.docid: 128911
negative_passages.text: Continuous extension of a real function
negative_passages.docid: 118048
negative_passages.text: Can a function with just one point in its domain be continuous?
negative_passages.docid: 34719
negative_passages.text: Show this holomorphic function is constant
negative_passages.docid: 90199
negative_passages.text: Prove that there exists a constant $c>0$ such that the following happens
negative_passages.docid: 91310
negative_passages.text: Does a limit point always exist?
negative_passages.docid: 39921
negative_passages.text: show that f is constant on I
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: 25775
negative_passages.text: How to prove $(1+1/x)^x$ is increasing when $x>0$?
negative_passages.docid: 11158
negative_passages.text: Proof that a continuous function with $f(x) = f(x^2)$ is constant.
negative_passages.docid: 96273
negative_passages.text: Is a continuous function $ f\colon(0,\infty)\to R$, such that $f(x)\leq f(nx)$ increasing?
negative_passages.docid: 131992
negative_passages.text: A problem on continuous functions
negative_passages.docid: 101700
negative_passages.text: Liouvilles theorem question - show $f$ is constant