news
Why is the column space a subset of $R^m$?
I'm currently working on trying to understand column spaces, but I'm struggling to understand one thing. Namely, that if we have a $m × n$ matri...
Apr 20, 2026
Archive: News
news
nth derivative of: $F(x)=1-\sqrt{1-x^2}$
I've gotten this function from probability generating functions, and I want to calculate it's nth derivative (With respect to $x$). This is: $$F...
Apr 20, 2026
news
Normal distribution, how to calculate $\mu$ and $\sigma$
How to calculate $\mu$ and $\sigma^2$ when it is known just that $P(X\le 49)=0.6915$ and $P(X>51)=0.2266$ ? Thank you very much!
Apr 20, 2026
news
How does a two's complement number overflow?
The problem is to convert $32$ to $6$-bit two's complement or note that the range would overflow. For $32$, I have: $100000$. How does this overflow?...
Apr 20, 2026
news
Tangent theta formula
The book that i am reading shows an image similar to this: It then proceeds to state that $\sin \theta = \frac{y}{OP}$ and $\cos \theta = \frac{x}{OP}$ (w...
Apr 20, 2026
news
Square roots -- positive and negative
It is perhaps a bit embarrassing that while doing higher-level math, I have forgot some more fundamental concepts. I would like to ask whether the square ...
Apr 20, 2026
![Determinant of matrix product [duplicate]](https://news.conceivablytech.com/uploads/determinant-of-matrix-product-duplicate_720.jpg)
news
Determinant of matrix product [duplicate]
The determinant of matrix product follows the following property unlike it's sum. $$ \det (AB) = \det A\det B $$ Why is this true? What's the ea...
Apr 20, 2026
news
Power series representation of $f(x) = \frac{x-1}{x+2}$
What I did so far: \begin{align*} \frac{x-1}{x+2}&=(\frac{x-1}{2})\frac{1}{1-(-\frac{x}{2})} \\ &=(\frac{x-1}{2})\sum_{n=1}^\infty (-\frac{x}{2})^...
Apr 20, 2026
![Do people with average intelligence stand a chance making a tenure track math professorship at a research university? [closed]](https://news.conceivablytech.com/uploads/do-people-with-average-intelligence-stand-a-chance-making-a-tenure-track-math-professorship-at-a-research-university-closed_720.jpg)
news
Do people with average intelligence stand a chance making a tenure track math professorship at a research university? [closed]
I am interested in math and have been thinking about going for grad school and becoming a research professor since graduating from college. However, a few...
Apr 20, 2026
![why a set of all $2 \times 2$ matrices can be a vector space? [duplicate]](https://news.conceivablytech.com/uploads/why-a-set-of-all-2-times-2-matrices-can-be-a-vector-space-duplicate_720.jpg)
news
why a set of all $2 \times 2$ matrices can be a vector space? [duplicate]
I am sorry this is a stupid question, but I am really confused about why $2 \times 2$ matrix is not a vector, but all $2 \times 2$ matrices can be a vecto...
Apr 20, 2026
