Deriving the midpoint formula in 3D using the distance formula
I want to derive the midpoint of the line segment connecting the points $P_1(x_1,y_1,z_1)$ and $P_2(x_2,y_2,z_2)$ using only the distance formula (since t...
04 Apr 2026 1 READS
Compare two files and print results to new text file
I want to compare the list of packages in a computer with an authorized list that I have. How would I do that? Would the following work? cd /home touch au...
04 Apr 2026 1 READS
Can't access Recovery mode on Chromebook Asus C300MA-DB01
I'd like to install Ubuntu on a Asus Chromebook C300MA-DB01, but Esc+Refresh+Power does not boot into Recovery mode, so I can't get into Develop...
04 Apr 2026 1 READS
How far is the list of known primes known to be complete?
So there is always the search for the next "biggest known prime number". The last result that came out of GIMPS was $2^{74\,207\,281} - 1$, with over twen...
04 Apr 2026 1 READS
Using only the field axioms of real numbers prove that $(-1)(-1) = 1$
Using only the field axioms of real numbers prove that $(-1)(-1) = 1$ (1) I start with an obvious fact:$$0 = 0$$ (2) Add $(-1)$ to both sides of the equat...
04 Apr 2026 1 READS
Square Roots: Variables with Exponents.
Alright, so let me get this straight: $\sqrt{x^2} = |x|$ $\sqrt{x^3} = x\sqrt{x}$ $\sqrt{x^4} = x^2$ $\sqrt{x^6} = |x^3|$ Are these correct?
04 Apr 2026 1 READS
Why can't you flatten a sphere?
It's a well-known fact that you can't flatten a sphere without tearing or deforming it. How can I explain why this is so to a 10 year old? As so...
04 Apr 2026 0 READS
How do I find the equation of a parabola given the max, and two points?
I was given the points (2, -1) and (10,-1) and also a max of 4. How would I go about finding the equation of the parabola given this info?
04 Apr 2026 0 READS
How to use NetSpeed with LXDE?
I am using Ubuntu 20.04.2 LTS with LXDE because I prefer minimalism and functionality. GNOME 3 is unacceptably heavy on system resources. MATE (based on G...
04 Apr 2026 0 READS
SSSD with AD: use UID/GID specified on domain server instead of something random?
I have an AD environment with IDMU and specified UID/GID for my domain users. SSSD-connected domain user does not share the same UID/GID on Ubuntu as AD. ...
04 Apr 2026 0 READS
