2020

4 posts

Dec 14, 2020Math
Limiting Ratio of Tribonacci Numbers & Beyond
The Tribonacci series is 1, 1, 2, 4, 7, 13, 24, 44, … In this article, we find the limiting value of adjacent numbers.
Nov 21, 2020Math
Some Problems from Lilavati by Bhaskara II
A friend of mine posted this on LinkedIn. Quite interesting problems. It should be solvable at 8-10th grade levels. Solutions 1. Number of Apes Let A be the number of apes. It then follows: $A = \left(A/8\right)^2 + 12$ $\implies A^2 – 64A + 12.64 = 0$ $\implies A = (64 \pm \sqrt{64^2 – 48.64})/2$ $\implies A = (64 \pm 8.\sqrt{16})/2$ $\implies A = (64 \pm 32)/2$ $\implies A =$ 48 or 16 It is interesting to note there are two solutions to this problem…
Oct 22, 2020Math2 comments
An Angel Function!
I was playing with Desmos and I needed some function that would do some interesting things around a circle. I was tinkering, and accidentally found a function that draws something like an angel with wings stretched out :) $x = \left(2+2\ \sin t\right)\cos t$ , $y = \left(2+2\ \sin\ 3t\right)\sin\ t$ , $0 < t < 2\pi$ It looks like this. Does it look like an angel to you?…
Oct 21, 2020coding
Why Coding Skills Matter?
In this era of plug and play, copy/paste programming, many programmers do not take the time to hone their coding skills, which can be detrimental to their career. In this article, we explore what is meant by coding skills, why it matters, and how a person can acquire, nurture, and improve their coding skills. I…

Some Problems from Lilavati by Bhaskara II

A friend of mine posted this on LinkedIn. Quite interesting problems. It should be solvable at 8-10th grade levels. Solutions 1. Number of Apes Let A be the number of apes. It then follows:

A = \left(A/8\right)^2 + 12

\implies A^2 – 64A + 12.64 = 0

\implies A = (64 \pm \sqrt{64^2 – 48.64})/2

\implies A = (64 \pm 8.\sqrt{16})/2

\implies A = (64 \pm 32)/2

\implies A =

48 or 16 It is interesting to note there are two solutions to this problem…

An Angel Function!

I was playing with Desmos and I needed some function that would do some interesting things around a circle. I was tinkering, and accidentally found a function that draws something like an angel with wings stretched out :)

x = \left(2+2\ \sin t\right)\cos t

y = \left(2+2\ \sin\ 3t\right)\sin\ t

0 < t < 2\pi

It looks like this. Does it look like an angel to you?…

Why Coding Skills Matter?

In this era of plug and play, copy/paste programming, many programmers do not take the time to hone their coding skills, which can be detrimental to their career. In this article, we explore what is meant by coding skills, why it matters, and how a person can acquire, nurture, and improve their coding skills. I…