How it Happened

Posted on Mon 02 August 2021 in Writing • Tagged with Writing

"Baba, I got Mathematics and Computing Dual at IITD", I told my father excitedly on the day the first round allocations were over. "It probably won't change now". Certain of this, I returned back to whatever I was doing, excitedly waiting for the seat allocations to get over (while simultaneously …

Continue reading

This summer

Posted on Wed 16 June 2021 in Writing • Tagged with Writing

What is a dream? all of us think of dreams as abstract ideals, far removed from reality, that we should chase with all the effort we can muster every day.

Meditating on this a bit more, does this make sense? What is achieved by chasing an ideal when you can …

Continue reading

Setting up (and shifting to) Sublime Text 4

Posted on Tue 01 June 2021 in Programming • Tagged with Programming, Text Editor

After using vim for a long time, I realized that vim would be very tricky to use for larger projects; there are a few reasons behind this, which are:

  1. Hard to set up and use autocomplete: I've tried omnicomplete, but it just didn't cut the mustard. I very seldom need …

Continue reading

The Last Time

Posted on Sat 29 May 2021 in Writing • Tagged with Writing

Soft sunlight streaked in through the curtains, illuminating the room in a warm glow. Of course, I noticed none of that. The only thing I was aware of was my phone's alarm clock ringing. After drowsily hitting the snooze button, I realized that I had done this twice already, so …

Continue reading

Function transforms (providing a broader picture of Laplace Transforms)

Posted on Wed 12 May 2021 in Mathematics • Tagged with Mathematics

I'll begin this article by brushing up a few definitions:

A function is a mapping between two sets: the domain D and the codomain C.

function definition

It's very important to note here that the function is the mapping itself, and not an element in the codomain or the domain. The function …

Continue reading

LaTeX primer

Posted on Sun 21 March 2021 in Programming • Tagged with Programming, Mathematics

This is a short getting started article on LaTeX; Recently, one of our courses involved a bit of LaTeX work, and this is meant to be a short introduction on how to use LaTeX to explain one's working.

Getting Started

LaTeX (Pronounced lay-tech, stylized $\LaTeX$), at it's core, is merely …

Continue reading

C development on a Mac

Posted on Thu 18 March 2021 in Programming • Tagged with Programming, C

C development on a Mac has it's fair share of traps and pitfalls, even though Mac is supposed to be POSIX compliant. I'll cover a few of them here, with the hope that nobody repeats the same mistakes :)

XCode CLT Pitfalls

The first thing one does while starting out with …

Continue reading

Understanding Jacobians

Posted on Fri 29 January 2021 in Mathematics • Tagged with Mathematics

$\newcommand{\pdv}[2]{\frac{\partial{#1}}{\partial{#2}}}$ $\newcommand{\ah}{\pmb{a} + \pmb{h}}$ $\newcommand{\a}{\pmb{a}}$ $\newcommand{\h}{\pmb{h}}$

The Jacobian Matrix

Consider a function that maps reals to reals, $f:\Bbb{R} \to \Bbb{R}$. The linear approximation of this function is given by $$f(a …

Continue reading

Intro to FreeCAD

Posted on Thu 31 December 2020 in Engineering • Tagged with CAD

MCP100 is a course that all first year undergrads in IITD have to go through. It consists of two parts: the first part is engineering drawing, using rulers and pencils, and CAD. After a disastrous drawing minor, the next phase involved getting to terms with CAD. The CAD package our …

Continue reading

Sorting Testbench in C

Posted on Wed 11 November 2020 in Programming • Tagged with Programming, C, Algorithms

I started reading CS theory in anticipation of my upcoming curriculum and I found that CLRS starts the reader off with sort algorithms (technically they start with math and basic CS, but I've already covered that). I decided to make a Sorting testbench, whose requirements were pretty simple:

  • It should …

Continue reading