erikthemathematician
New member
- Joined
- May 22, 2024
- Messages
- 15
Hello everyone. I am looking for a function [imath]f[/imath] with these requirements:
[math]f(x):=\begin{cases} 1 &\text{if }\{x\in\R\wedge\exists\,n\in\Z\text{ such that }x\in\left[2n-\frac{5}{2},2n-\frac{3}{2}\right]\}\\ -1 &\text{otherwise} \end{cases}[/math]I believe that [imath]f[/imath] will make heavy use of [imath]\frac{x}{\lvert\,x\rvert}[/imath].
[math]f(x):=\begin{cases} 1 &\text{if }\{x\in\R\wedge\exists\,n\in\Z\text{ such that }x\in\left[2n-\frac{5}{2},2n-\frac{3}{2}\right]\}\\ -1 &\text{otherwise} \end{cases}[/math]I believe that [imath]f[/imath] will make heavy use of [imath]\frac{x}{\lvert\,x\rvert}[/imath].