query: Show that $g$ and $h$ are constant functions.
positive_passages.docid: 153798
positive_passages.text: Problem involving maximum and minimum of a continuous function
negative_passages.docid: 62879
negative_passages.text: Question about the proof of $GCH$ holds in $\mathbf L$
negative_passages.docid: 106290
negative_passages.text: Prove a function is constant. (complex analysis)
negative_passages.docid: 46355
negative_passages.text: If $[G:H]=n$, is it true that $x^n\in H$ for all $x\in G$?
negative_passages.docid: 46629
negative_passages.text: Prove if $f(x) = g(x)$ for each rational number x and $f$ and $g$ are continuous, then $f = g$
negative_passages.docid: 82001
negative_passages.text: How to prove the function is a constant
negative_passages.docid: 114826
negative_passages.text: Zero Partials imply Constant Function Theorem or Proof
negative_passages.docid: 105700
negative_passages.text: Proving $\,f$ is constant.
negative_passages.docid: 151047
negative_passages.text: a non trivial example: $G/H$ is isomorphic to $G$
negative_passages.docid: 23663
negative_passages.text: Show that holomorphic $f_1, . . . , f_n $ are constant if $\sum_{k=1}^n \left| f_k(z) \right|$ is constant.
negative_passages.docid: 64650
negative_passages.text: If $a\operatorname{Re}(f(z))+b\operatorname{Im}(f(z))=c$ then f is constant
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: 55350
negative_passages.text: H is a subgroup of G and G' is a subgroup of H. Prove H is normal in G.
negative_passages.docid: 62640
negative_passages.text: Show a given analytic function is constant
negative_passages.docid: 5416
negative_passages.text: How does one prove if a multivariate function is constant?
negative_passages.docid: 69804
negative_passages.text: Prove that if $f$ is entire and $\vert f(z^2) \vert \leq 2 \vert f(z) \vert$, then $f$ is constant
negative_passages.docid: 77361
negative_passages.text: How to prove $|H|[K:K \cap (g^{-1}Hg)]=|K|[H:H \cap (gKg^{-1})]$?