Alas, I've become a creator

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I found out something beautiful

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When walking, I know that my aim  Is caused by the ghosts with my name.  And although I don’t see  Where they walk next to me,  I know they’re all there, just the same. -David Morin (Introduction to Classical Mechanics, 2008) Sounds eerie, right? But, in a certain interpretation of the notion of action of a path in physics, this is actually true, and the math behind it, calculus of variations, is truly fascinating in itself. Taylor Series: An overview For those of you who know calculus, it's taught late into differential stuff that we can find minimas and maximas of a function, say $f(x)$ by looking for the points where $f'(x)$ turns zero. Later on, in the same course, we get an intuition for why this is true, in the $\text{Taylor series}$, a powerful way to make sense of any ( differentiable) function, by using simple polynomials. So for any random differentiable function $f(x)$, the Taylor series, of $f(x)$ around the input $x=a$ looks like: $$f(x-a)=\sum_{n=0}^{\i...
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I love people/I hate people

Pro-social Samyak: Human is a social animal. How on Earth can a human live without social interaction? After all, research has proven it has many benefits! Anti-social Samyak: Benefits? What benefits are you talking about? All this nuisance of making contacts and basing your life decisions upon them? These funny little creatures, whom even you  sometimes think is just part of an elaborate machine prank on the mind that we all inhabit Pro-social Samyak: That is all moonshine! Talk about that when you know how VR actually works and other problems related to Computational Complexity Anti-social Samyak: It is useless to base your emotions and life goals around people that aren't you. After all, what have they done for you? The first thoughts that come to my mind are of humiliation and exclusion. I don't need those idiots  Pro-social Samyak: You're asking what they have done for me? Ask what they haven't done for me! You are who you are because of whom you befriended and who...
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"Hello World"

This is my very first blog post and thus I would name it Hello World, submitting to clichéness.  I am really, REALLY irregular but expect me to supplement this venture with 1 post a month(with a probability of 1/4)¯\_(ツ)_/¯ Anyways!  My range of interests includes all the 43 orders of magnitude(partly because I aspire to be a physicist!) ranging from quantum phenomena and astronomy to history and music with biochemistry, tech and philosophy thrown in.  The idea of writing a blog came to me rather impulsively. I need to write a ton of essays this season and the next year too. So hear me out as I try to improve my writing skills(and commit fewer typos!) while you read my shitposts until a certain period of time! As I document the next few years in this blog which would remain saved till the end of usable energy in the universe, in the form of 0's and 1's on the Internet, I hope some of you will take interest in a literal Bildungsroman  of a high school student! Au revo...
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