Computation of Cellular Homology
I have a few questions about computing cellular homology. Setup: Here is an outline of the process of computing cellular homology as far as I understand i...
Apr 17, 2026 3 VIEWS
Topic: General
5104 Articles 
Formula for average width of a circle [closed]
I'm trying to make a costing calculator for engraving a circle on acrylic using a laser. The laser can move at 150mm/sec, and lightly cuts lots of pa...
Apr 17, 2026 1 VIEWS
Is there any 2x3 real matrix having a right and a left inverse?
I was thinking about this question like 1 hour, because the question not says that 2x3 matrix is invertible. So I thought; For right inverse of the 2x3 ma...
Apr 17, 2026 1 VIEWS
calculate x,y positions in circle every n degrees
I am having trouble trying to work out how to calculate the $(x,y)$ point around a circle for a given distance from the circles center. Variables I do hav...
Apr 17, 2026 1 VIEWS
Visual Intuition for the Sum of a FINITE Geometric Series
I'm interested in intuitive visual explanations for the sum of a finite geometric series. I know there are some pretty "intuitive" explanations out t...
Apr 17, 2026 1 VIEWS
Difference between real and complex solutions of cubic equations [closed]
Take for an example, this equation. $$x^3+15x+4=0$$ This equation has two complex solutions and a real one. $$x≈0.1327-3.8798i$$ $$x≈0.1327+3.8798i$$ $$x≈...
Apr 17, 2026 1 VIEWS
Can the number of diagonals of a given polygon be found using combinations?
The following question appears in my textbook: A pentagon has 5 diagonals. How many diagonals has a 15-sided polygon? After doing some research, I found o...
Apr 17, 2026 1 VIEWS
How to solve a fraction of imaginary numbers? [closed]
I have the following equation. $a = \frac{(1/2) - (3/2)i}{(3/2) + (3/2)i}$ The solution says that $a^2 = 5/9$. I don't know how I can perform the ste...
Apr 17, 2026 1 VIEWS
Bounded Polyhedron/Polytope
My textbook, Convex Optimization by Boyd and Vandenberghe, says the following in a section on Polyhedra: A polyhedron is defined as the solution set of a ...
Apr 17, 2026 2 VIEWS
Relationship between sine and cosine in a circle [closed]
My teacher asked us this question today: What is the relationship between sine and cosine in a circle? No one had any answer to this. Can someone enlighte...
Apr 17, 2026 1 VIEWS
showing zero curvature implies a line
How can I show that a given (not necessarily unit-speed) parametrization $\gamma(t)$ of a curve in $\mathbb{R}^3$ which exhibits zero curvature is a line ...
Apr 17, 2026 1 VIEWS
"unity symbol" from Feller's "An Introduction to Probability"
I am wondering if anyone knows the name or source of the symbol shown below from page 22 of the Second Edition of Feller's "An Introduction to Probab...
Apr 17, 2026 1 VIEWS