How much is $\lceil\frac{1}{\infty}\rceil$ ? On one hand, $\frac{1}{\infty}=0$, so its ceiling is also $0$. On the other hand, for all $x\geq 1$, $\lceil\frac{1}{x}\rceil = 1$, so, when $x$ goes to infinity, the function should remain with the same value...

Hi is it possible to truncate a number just with Arithmetic operations? For example if i have 2.5 i want to get "2" without using modulo or something other which can't be rewritten in formulas. i could calculate 2.5 * 0.8 = 2 but this just works for "2" what i want to do: 2^x-trunc(2^x...

Given $k=\lceil\frac m {n}\rceil$, I would like to solve for $m$ given $k$ and $n$ as positive integers. How do I solve for $m$, and is there a single solution for $m$? Perhaps one way to do this might be to split $n$ up into cases depending on whether it is even or odd? However, I've noticed ...

I couldn't relate this question to any of the topics specifically , I found this in a miscellaneous math problems book(non-calculus) . Here's how it goes, A book has a few pages on which page numbers are written. Someone has torn one page out of it and now average of all page numbers is $\frac{1...

Proposal: Create a social-sciences tag. The inspiration for this proposal is this deleted meta post, which suggests a poly sci tag. This tag would serve as an umbrella for questions on voting-theory and social-choice-theory, some aspects of game-theory, etc. I can also see a place for some que...