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### Fixed-point iteration when image and domain are not the same

I have a function $f(x)$ defined on a domain $D$, but such that the image $f(D)$ may contain extra regions not included in its domain. I am interested in solving the fixed-point equation $x=f(x)$. If ...
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### Double Integral with Gauss- Hermite for one component

I am trying to perform the following integral $$\iint_V \frac{r'\left(e^{-r'^2/2\sigma^2}\right)\left(r-r'\cos(\theta-\theta')\right)}{r^2+r'^2-2rr'\cos(\theta-\theta')}dr'dθ'$$ Using Gauss-Hermite ...
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### Import Excel file into Pandas (but it is returning an xml?) [closed]

1 I am wanting to import an Excel file into panda's, in the below format. From my novice eye, it seems to be returning an XML file. Is this correct and could anyone point me towards how I get this ...
I have a function $f:\mathbb R^N\to \mathbb R$ and I would like to compute all the partial derivatives of $f$ w.r.t. the $N$ input. What is the computational complexity using the (ones-sided) finite ...