# Tag Info

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### Volume of 3-dimensional region

$\newcommand\si\sigma$The expression $\Gamma(\Pi)$ makes no sense, and hence the definition of $F$ in your post makes no sense. Replacing $\Gamma$ by $\phi$, we get a definition which does makes sense:...

### Integration in the surreal numbers

In a recent article in the Notices of the AMS, Philip Ehrlich briefly describes some progress in this area. Below is a relevant excerpt from the article. Conway originally expressed doubt that “...
1 vote

### Is there a formula or algorithm to remove infinitesimal and oscillating parts from an expression while keeping finite and infinite ones?

This isn't an answer, just a long comment. If this is from an established field, and I'd guess it is, that needs to be part of the question. Not knowing one, I will blindly sally forth because I am ...

### Class of Riemann integrable functions with antiderivative

Just a modest proposal so a comment (but I am not entitled). Every Riemann (even Lebesgue) integrable function, say on the line, can be regarded in a natural way as a distribution (the distributional ...

### Class of Riemann integrable functions with antiderivative

A classical and simple example is given by the function $x \mapsto \sin\frac{1}{x}$ extended by $0\mapsto 0$, on (say) $[-1,1]$: It is discontinuous at $0$. It is a derivative (= has an ...