general
Algebraic Geometry and its application to Cryptography
I am learning Algebraic Geometry(AG) from Shafarevich's book. I know little bit cryptography. I know about RSA algorithm. Few days back, through some...
Apr 17, 2026
Archive: General
general
Finding a point along a line a certain distance away from another point!
Let's say you have two points, $(x_0, y_0)$ and $(x_1, y_1)$. The gradient of the line between them is: $$m = (y_1 - y_0)/(x_1 - x_0)$$ And therefore...
Apr 17, 2026
general
Meaning of algebraic decay
I am reading the paper here and I am running into a few roadblocks. One of them was resolved here and now I am stuck at another. (Pg 177) Suppose $\alpha\...
Apr 17, 2026
general
Closest points between two lines
I have two arbitrary lines in 3D space, and I want to find the distance between them, as well as the two points on these lines that are closest to each ot...
Apr 17, 2026
general
What is log-utility?
I came across this problem today: Calculate the log-utility optimal fraction of your capital to bet on a fair coin flip where you win $x$ on heads and los...
Apr 17, 2026
![Why is kernel important? [closed]](https://news.conceivablytech.com/uploads/why-is-kernel-important-closed_720.jpg)
general
Why is kernel important? [closed]
Why are we interested in looking at the kernel and range (image) of a linear transformation on a linear algebra course?
Apr 17, 2026
general
Algorithm for computing div and mod
In the attached algorithm for computing the quotient and remainder between two numbers, the third-to-last line (q := -(q + 1)) confuses me. algorithm Assu...
Apr 17, 2026
general
Solving $\sin^2x + 3\sin x\cos x + 2\cos^2x=0$, for $0\leq x\leq 2\pi$
Solve $$\sin^2x + 3\sin x\cos x + 2\cos^2x=0$$ for $0\leq x\leq 2\pi$. My answers are $$x=2.03, 5.18 \qquad\text{or}\qquad x=\frac{3\pi}{4},\frac{7\pi}{4}...
Apr 17, 2026
general
Are there straightforward methods to tell which function has fastest asymptotic growth without a calculator?
For example, suppose I wanted to determine which of the following has the fastest asymptotic growth: $n^2\log(n)+(\log(n))^2$ $n^2+\log(2^n)+1$ $(n+1)^3+(...
Apr 17, 2026
general
How to find number of prime numbers up to to N?
Is there any way or function to find out the number of primes numbers up to any number? (Say $10^7$ or $10^{30}$ or $200$ or $300$?)
Apr 17, 2026
