Missing exponent?
$\frac{256}{2^S}=64$ How would you solve for S?
18 Apr 2026 1 READS
Archive: General
Are all central simple algebras unital?
The definition I'm using for a CSA over a field $k$ is the following: A CSA over $k$ is a finite-dimensional associative $k$-algebra which is simple ...
18 Apr 2026 1 READS
Why does 'The King Property' of integration work?
Today I learned about something known as the king's property which really helps in solving integrals and I wanted to know why does this property work...
18 Apr 2026 1 READS
Understanding induced representations
Let $G$ be a group and $H$ be a subgroup. Let $\phi:H\rightarrow GL(V)$ be a representation of $H$. There are three constructions in Wikipedia, but I am n...
18 Apr 2026 1 READS
How rare is it to get a $8$ in minesweeper? (Bruh reputation requirments)
I need help on this, ignore if its already answered. Ok so today i was wondering, could you get a $8$ in minesweeper and how rare it is? All i know is tha...
18 Apr 2026 1 READS
Rate of convergence of Secant Method
If the Secant Method converges to $r$, $f'(r)\neq0$, and $f''(r)\neq0$ then we have the approximate error relationship $$e_{i+1}\approx\lef...
18 Apr 2026 1 READS
Why is Normalizer-Centralizer (N/C) Theorem valid only for subgroups?
I have a few queries regarding the normalizer/centralizer theorem and I would prefer a response suitable for a beginner. Suppose that $G$ is a group and $...
18 Apr 2026 1 READS
Inscribed Square in Inscribed Circle in Square
A square has an inscribed circle which has an inscribed square in, as shown. Show that the area of the white bit is approximately 28.5% of the whole shape...
18 Apr 2026 1 READS
How to find the sum of a convergent series
I am given the following geometric series and am asked to find the sum. $$\sum_{n=1}^{\infty} \left(\frac{12}{(-5)^n}\right)$$ I know that I somehow need ...
18 Apr 2026 1 READS
Picard iteration for a system
I have the following system: $$y'(t)=x^2(t)-x(t)$$ $$x'(t)=y(t)$$ It comes from the second order ode $$x''(t)=x^2(t)'x(t)$$ I am ...
18 Apr 2026 1 READS
