Posts

Some (huge) updates

So I am in college now! Specifically, I am a fresher in the Electronics and Electrical Communication Engineering Department at IIT Kharagpur. After 2 years of  JEE being the all-important goal, I thought I would feel empty. Well, I did for the two months between writing the exam and coming to the campus. But, one word to describe college, is chaos. Chaos, spreading across space and time. One hour, you're cycling around this huge (large enough to fit in the other 8 IITs) campus, and the other hour you rush to a seminar, pedalling with the vigour you didn't even imagine you had.  Long periods of silence followed by long streaks of things to do.  And coming to college does something to 18-year-old, star-stricken newly-adults who were deprived of life for the past two years. Don't get me started on the number of goofy things we have done after just one month of coming to campus. And we go for a night out after watching a movie every freaking Friday! Since there are plenty of ...

Peano Axioms and Arithmetic: How we define how we count

Caution It's another expository post (*I mean it's better than just ranting, but Samyak please stop playing an expert*). The same cautions ahead(I'm no expert; I may be wrong). With that out of the way, let's begin: Foreplay  Introduction So! How do you define natural numbers? As is the case with other topics in intro analysis, you'll think (I definitely thought) that this is so boringly obvious . I mean, it's just how we count right? But many things about $\mathbb{N}$ aren't so obvious. For example, how would you prove that $a+b=b+a$ for $a,b\in \mathbb{N} $? You'd say it's blindingly obvious , but commutativity is not obvious for many other things(try, for example, rotating a Rubik's cube and you'll get it). Note that you can't justify with examples (you'd have to give infinite examples to prove this property) Now, this was a problem that presented itself in the mid-to-late $19^{th}$ century. People always assumed that numbers, in g...

Long time no see?

 Well.., The thing is I haven't been so faithful to write even one piece of writing a month. Let's just say I definitely won't be able to write more in the next months. But, I may just happen to post some random thoughts as a "blog". Who knows? Till then, Happy Holiday Season!

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...

Your thoughts?

 Well! I am in my last year of school now! I don't seem to be getting any ideas though? (Haha! unintentional) What do you wanna have on this corner of the Internet? Type it in the comments section or mail it to me at samyakshirsh1234@gmail.com ! Au revoir!

Happy Pi Day everyone!

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 3.14.2021 Happy Birthday, Einstien! RIP Stephen Hawking. Some of my favourite ways to celebrate today: Warning!!! There are the same Pi hater and Tau lovers down there. Go there at your own discretion

Some Poetry

Oh, tell the people what matters Death doesn’t care about your money, As for family, it’ll probably end, Well before the last stars cease to remain sunny Oh, if perhaps, from this hopelessly large, Chessboard, if you find the rules, Maybe, we all will get closer To the “bright point of light”, Which we all can’t seem to stop thinking about I don’t fear failure, not even if it becomes my whole life For each Michelson-Morley experiment, There may be bound to appear, The Laser Interferometer Gravitational Observatory (Sidenote: Michelson and Morley were pretty successful in their own right) I don’t want to hear that, “God does not make mistakes” If he does exist, he probably made too many Otherwise, how would we marvel,  at this marvellous world, where man didn’t take the risk it takes?

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...

Hello 2021

 Welcome to this Brave New World , 2021. Let's hope you bring bandages for the wounds on the world your sister left on us Au revoir!

Goodbye, 2020

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  Courtesy: Time Holocaust:~11 million deaths(outlier because well it went on for more than 5 years in times of war) Iraq war:~600,000 deaths Al Qaeda at its height:~800,000 deaths COVID-19 Pandemic:~1.7 million deaths Seems pretty right that you were "rewarded" with a red cross, 2020. As we all wave goodbye to you, during your last 2 days of existence, let me deliver your "eulogy" of sorts: Thank you for coming to this part of the Internet to celebrate the life and, why not say it, death of 2020. I remember her childhood, January when we all were filled with hopes of a great new decade. I wanted to make this year the most cherished year of my childhood, my junior year in high school and sweet 16! None could have thought what happened to her two months down the line, the most cherished months of spring, even though humanity's medicine had progressed since we last left her relatives, a 100 years ago. She, one of the chosen leap years, would've hosted the Summ...

Alas, I've become a creator

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 Why isn't anyone subscribing!!?? Really? 0 followers? Am I that bad? All it takes is literally just a few clicks and, poof! you're done! and I get some followers. Please do subscribe! Yeah! there just below the title!

Happy Holiday Season!

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It's the Christmas Eve today, and winter feels like I am still in February and not December , yet the calendar and computer refuse to say so. We will all be entering the year 12 , 021  (Let's hope it's gonna be a bit less exciting/boring than 12,020), the beginning of my final year in school, and my (at least partly) entry into adulting!  Right now, I am engrossed in prepping for some of the tests that have the power to influence the trajectory of my life (JEE, KVPY, IOQP, NTSE-II) and thus I prefer to refrain myself from enjoying the festive mood. However, I wish y'all a really Merry Christmas and a very Happy New Year! Je vous souhaite à tous un très joyeux Nöel et une très bonne année! (Thanks 2 years of High School French) Courtesy: Pinterest Au revoir!

The rate of flow of time: Which is increasing, at least for me

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  Not so long ago, during my 14th year of existence, I thought this was rubbish, how can life possibly speed up? Obviously, it must be some kind of adult joke which I can't possibly understand. Yet, even in this sentence, I find for myself that, yeah, "time" does fly fast. It has been three years since I shifted to this huge city, whose innards I have yet to visit, two years since I went to Earth Science Olympiad camp and almost a year since COVID-19 has transformed our lives for at least another year to come (Stay safe and wear a mask, GET VACCINATED!!!) (Future Samyak:<digression>) Yet, I almost always think of myself as that middle school kid in the small town of Jammu, who used to boast about being the smart guy and winning all the non-sports competitions in the town.  In short, "hot and happening"! My position on the Dunning Kruger graph for Life and other HS topics This attitude, due to being a large fish in a small pond, was all but destroyed when I...

Spam post: Testing some functionalities

 This is just a spam post to check some functionalities, You are requested to try out MathJax in the comments section! $$\frac{[M][L]^2}{[T]}$$ $$\hat{H}\psi=\mathbf{E}\psi $$

Can you blame me?: A 16 y/o's view on free will and HASS

I am at my desk, wondering about existentialism in the setting of post-war Europe and the debate between realism and spirituality in the context of visual art. All of this to say that I am preparing for my English test. Yikes! when did I become so mismanaged?! Part of the reason why I chose to pursue Science over my exceedingly diverse HASS interests was that in Science, I have a deep satisfaction that there exists a correct answer to any meaningful question that you can ask, it's secondary whether I or the human race as a whole would ever be able to find those answers. Right now, I still am wondering whether it is better to be real or take into account the "spiritual" aspect. Heck! what even is spirituality or God? Isn't it just a human construct to take our minds off of inevitable death? Aren't minds just a collection of a humongous number of atoms and the chemical interactions between them, while it as a whole perceives itself to have "free will"? I w...

"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...