Questions tagged [periodic-function]

FunctionPeriod[Sin[16 Pi x/5 - Pi/8], x, Integers] 80 then I ListPlot the function: ListPlot[Transpose[{Range[0, 90], Sin[16/5 π Range[0, 90] - π/8]}], Filling -> Axis] then I test the number: Union[Simplify[Sin[16/5 π Range[0, 90] -…

Consider a function $F({\bf v})$, where ${\bf v}=(v_x,v_y)$ is a vector in $\mathbb{R}_2$. I would like to define a new function $f({\bf v})$ which is periodic under $f({\bf v})=f({\bf v}+(n_x,n_y))$ for $n_{x,y}\in\mathbb{Z}$; but where $f({\bf…