Why is $\arctan(x)=x-x^3/3+x^5/5-x^7/7+\dots$?
Why is $\arctan(x)=x-x^3/3+x^5/5-x^7/7+\dots$? Can someone point me to a proof, or explain if it's a simple answer? What I'm looking for is the ...
04 Apr 2026 1 READS
Critiques on proof showing $\sqrt{12}$ is irrational.
My only exposure to proofs was in a math logic class I took in University. I was wondering if my attempt at proving that $\sqrt{12}$ is irrational is OK. ...
04 Apr 2026 1 READS
Mismatched charset while executing application on Windows and Wine (Ubuntu)
We have a small exe client application that used for loading the scanned images from the remote sources, what we need to do is enter the address from the ...
04 Apr 2026 1 READS
Reinstalling Java packages gives unmet dependencies error, after uninstalling Java
I uninstalled java following this tutorial and then I tried to install it again. I typed: sudo apt-get update all good and then I run this sudo apt-get in...
04 Apr 2026 1 READS
Arbitrary Matrices Solving
I'm trying to solve some equations with arbitrary matrices. My Problem is that I don't know what way to solve the equation should be taken. Exam...
04 Apr 2026 1 READS
install sinhala unicode pack
Ubuntu has the built in sinhala unicode support. But it is not the 'wijesekara' keyboard layout. ( http://www.ucsc.cmb.ac.lk/ltrl/services/layou...
04 Apr 2026 0 READS
OGF for partitions of integer r-N into even parts less than or equal to 2m (N is some integer that may depend on m).
Let $a_r$ be the number of partitions of the integer r-N into even parts, the largest of which is less than or equal to 2m, where N is some integer that m...
04 Apr 2026 0 READS
Calc of potential function using line integral
I tried to calculate a potential function using the two major methods (by partial differentiation/integration, and by line integral). The two worked with ...
04 Apr 2026 0 READS
From the graph of the derivative $f'(x)$, make a sketch of the original function $f(x)$ and of the second derivative $f''(x)$
I haven't started finding the derivatives of functions yet, so at the moment this is strictly about finding the right derivative graph to an original...
04 Apr 2026 0 READS
![Quaternions: Why is the angle $\frac{\theta}{2}$? [duplicate]](https://edu.smbbmcl.edu.pk/uploads/quaternions-why-is-the-angle-frac-theta-2-duplicate_720.jpg)
Quaternions: Why is the angle $\frac{\theta}{2}$? [duplicate]
The equation for creating a quaternion from an axis-angle representation is $$x'= x \sin\left(\frac \theta 2\right)$$ $$y' = y \sin\left(\frac \...
04 Apr 2026 0 READS
