Regular pentagon and diagonals
Show that in every regular pentagon when two diagonals intersect, one of the obtained segments is equal to the side of the pentagon. I lost myself in my s...
20 Apr 2026 1 READS
Archive: General
Matlab code to solve maximum likelihood problem.
Can someone help me solve the following problem ? There are 25 columns in a given dataset each having 10000 points of the form - x(n) = A + w(n) where w(n...
20 Apr 2026 1 READS
Rewrite each of the following sentences using logical connectives
Rewrite each of the following sentences using logical connectives. Assume that each symbol $f, x_0, n, x, S, B$ represents some fixed object. (a) If $f$ h...
20 Apr 2026 1 READS
How much faster is the Trachtenberg system?
How much faster are various mathematical operations using a Trachtenberg method rather than a conventional method?
20 Apr 2026 1 READS
Geometrical interpretations of SVD
I'm a bit confused by the various geometrical/visual interpretations of SVD or better I'm wondering how to reconcile them. Transformations : As ...
20 Apr 2026 1 READS
Formula for gallons in a trough
I have a trough which is a circular container. How do I determine how many gallons of water it takes to fill up the trough? I was thinking that we measure...
20 Apr 2026 1 READS
Difference between Ordering and Order?
I am confused by the two terms order and ordering. I am learning on Ideals, Varieties and Algorithms by Cox et all. The context is monomial orderings and ...
20 Apr 2026 1 READS
Find the sum of the First $50$ Natural Numbers starting from $11$. Is it from $11-50$ or $11-60$?
This a simple question yet confusing for me, I found the answer as 1220 by taking sum from $11$ to $50$, by inferring the question as first 50 natural num...
19 Apr 2026 1 READS
A lamina occupies the part of the disk $x^2+y^2\leq 25$ in the first quadrant.
Here is the question: A lamina occupies the part of the disk $x^2+y^2\leq 25$ in the first quadrant. Its density is $\rho=4$. What is the total mass? What...
19 Apr 2026 1 READS
Calculating the Euclidean Distance
How do I calculate the Euclidean Distance between $(22, 1, 42, 10)$ and $(20, 0, 36, 8)$? I think I know the formula, but I don't know how to apply i...
19 Apr 2026 1 READS
