Skip to main content

All Questions

-1 votes
1 answer
52 views

Tool Like Argument Principle For Real-Valued Functions

The Argument Principle gives a way of numerically counting the number of roots-poles ($Z-P$) of a meromorphic function in a contour. I was wondering, can the Argument Principle (or some other tool ...
ILoveMath2's user avatar
0 votes
0 answers
60 views

Find the closest/next $x\in\mathbb{N}$ that satisfies the equation $Ⲭ_{\mathbb{N}}(f(x)) = 1$.

Find the closest/next $x\in\mathbb{N}$ that satisfies the equation $Ⲭ_ℕ(f(x)) = 1$, where $Ⲭ_\mathbb{N}(x): \mathbb{R} \rightarrow \mathbb{N}$ is defined by $$ \begin{cases} 1 &\text{if } f(x) \...
TRH's user avatar
  • 1