query: Is the Collatz function $x\mapsto\dfrac{3x+1}{2^{\nu_2(3x+1)}}$ continuous on $\Bbb Z_2^\times$?
positive_passages.docid: 145163
positive_passages.text: How do I show a function on 2-adic units is continuous?
negative_passages.docid: 154572
negative_passages.text: Continuity of a function at an isolated point
negative_passages.docid: 158309
negative_passages.text: Find a function that is continuous only on rationals
negative_passages.docid: 44144
negative_passages.text: If $f:[a,b]\to \mathbb R$ is continuous then so is $\max_{t\in [a,x]}f(t)$?
negative_passages.docid: 23728
negative_passages.text: Does a continuous and 1-1 function map Borel sets to Borel sets?
negative_passages.docid: 84092
negative_passages.text: If $id:(X,d_1)\to (X,d_2)$ is continuous then what will be $X$?
negative_passages.docid: 64619
negative_passages.text: Continuity of a function of product spaces
negative_passages.docid: 98772
negative_passages.text: Continuity of a function in $\mathbb{R}$
negative_passages.docid: 32359
negative_passages.text: Inner product of two continuous maps is continuous
negative_passages.docid: 26541
negative_passages.text: Is $\sum_{n=1}^{\infty}{\frac{\sin(nx)}n}$ continuous?
negative_passages.docid: 14578
negative_passages.text: Proving that an additive function $f$ is continuous if it is continuous at a single point
negative_passages.docid: 145368
negative_passages.text: How to show $f:Y\to X^{+}$ is continuous?
negative_passages.docid: 136011
negative_passages.text: Must $f$ be continuous?
negative_passages.docid: 147247
negative_passages.text: Continuous function on closed unit ball
negative_passages.docid: 53841
negative_passages.text: Function always continuous in a Sobolev Space?
negative_passages.docid: 83446
negative_passages.text: bijective continuous function on $\mathbb R^n$ not homeomorphism?
negative_passages.docid: 50103
negative_passages.text: Show that a continuous function satisfying $f(2^x)=f(3^x)$ for $x\in (0,\infty)$ is a constant function