Calculus to Linear Algebra

March 29, 2022 - 3 mins read

warning This article is one among many salvaged from my previous blog! It is not on par with my demands of quality but I didn’t feel like abandoning it. Consider the anti-derivative of $e^x \sin x$ or more commonly called as integral of $e^x \sin x$. $$ \int e^x \sin x d x $$ Calculus Method: A traditional calculus course teaches us to implement this integral by using integration by parts:

WaveGuide Mode Visualizer

February 23, 2022 - 5 mins read

warning This article is one among many salvaged from my previous blog! It is not on par with my demands of quality but I didn’t feel like abandoning it. Warmup A few years back, I was in a rush to visualize some fields (electromagnetic to be precise) using computers. I asked my professor what could be a good starter; him being an astrophysicist specializing in solar studies, told me about the dark spots on the surface of the sun; which was not very exciting for me.

Conway Game of Life

February 10, 2022 - 9 mins read

note This article is one among many salvaged from my previous blog! It is not on par with my demands of quality but I didn’t feel like abandoning it. I wrote a larger article titled as “An Analogy to Dive Deep Into the Nature of Time” but didn’t feel comfortable posting the whole thing here, so I just picked the stuff I felt that is worth posting. Time is a concept many philosophers and physicists pondered upon for centuries.

MOND an Introduction

December 6, 2021 - 9 mins read

warning This article is one among many salvaged from my previous blog! It is not on par with my demands of quality but I didn’t feel like abandoning it. On Dark Matter Consider a stone fastened to rope. Imagine you are holding the rope in the other end. Now, start rotating with it, but slowly. What do you notice? The stone drags itself along the path on the ground. Now make the rotation faster, the stone starts to levitate in your reference frame.

On McTaggart's Unreality of Time

December 6, 2021 - 4 mins read

warning This article is one among many salvaged from my previous blog! It is not on par with my demands of quality but I didn’t feel like abandoning it. McTaggart is a British Idealist who is famous for his paper, “The Unreality of Time”, published in 1908, where he argues the case of atemporal reality. This is still the starting point to discuss the situation otherwise, even after a century.