updates
Flipping a matrix?
Real quick question: I was wondering, how would one denote mathemathically the flipping of a matrix, horizontally or vertically, around its own axis?
Apr 22, 2026
Archive: Updates
updates
Taylor expansion for vector-valued function?
Let $f:\mathbb{R}^m \to \mathbb{R}^n$. Is it possible to do a Taylor expansion of $f$ around $\theta\in\mathbb{R}^m$? I am hoping for something like $$f\l...
Apr 22, 2026
updates
How to solve a partial derivative $u = f(x,xy,xyz)$?
here's the following: $$u = f(x,xy,xyz)$$ I am pretty new to partial derivatives, so do not judge much, but whats big difference (in the solving), be...
Apr 22, 2026
updates
Matrix solving using Casio fx-991ES plus
24/L 5 0 9 4L 8 8 5 5L I want to calculate inverse of this matrix using calculator. But it doesn't allow me to enter a Constant value L in the matrix...
Apr 22, 2026
updates
Solving recurrence relation in 2 variables
We already know how to solve a homogeneous recurrence relation in one variable using characteristic equation. Does a similar technique exists for solving ...
Apr 22, 2026
updates
How to prove the number of solutions to nine dots puzzle
The aim of the Nine Dots Puzzle is to draw a path connecting 9 dots arranged in a $3\times 3$ grid using 4 continuous straight lines, never lifting the pe...
Apr 22, 2026
![Express $\cos 4\theta$ in terms of $\cos\theta$ using De Moivre’s Theorem [closed]](https://news.conceivablytech.com/uploads/express-cos-4-theta-in-terms-of-cos-theta-using-de-moivre-s-theorem-closed_720.jpg)
updates
Express $\cos 4\theta$ in terms of $\cos\theta$ using De Moivre’s Theorem [closed]
I don’t understand the working
Apr 22, 2026
updates
Algebraic Proof of the Double - Dabble Method/Algorithms: Binary Numbers to Decimal Numbers
I have found a great book: Binary Arithmetics and Boolean Algebra by Angelo G. Gille. He is using a Double-Dablle Method to convert Binary Numbers to Deci...
Apr 22, 2026
![Does a square have an equation? [duplicate]](https://news.conceivablytech.com/uploads/does-a-square-have-an-equation-duplicate_720.jpg)
updates
Does a square have an equation? [duplicate]
can you model a square in an equation ? like a circle for example $r^2 = x^2 + y^2$ and lets say we have a square with: centered at $(3,3)$ $2 \leq x \leq...
Apr 22, 2026
updates
Evaluate $\int_0^1 \frac{x^k-1}{\ln x}dx $ using high school techniques
Is there a way to compute this integral, $$\int_0^1 \frac{x^k-1}{\ln x}dx =\ln({k+1})$$ without using the derivation under the integral sign nor transform...
Apr 22, 2026
