🌟3rd August 2021 🌟

Do you have any favourite theorem(s)? I'd love to know xx

oh okay i like this. and of course i have favorite theorems, mostly based on how useful they are. here you go :

fermat's theorem (for congruences)

lagrange's theorem

fundamental theorem of finite abelian groups

density theorem

fundamental theorem of calculus (the one which uses riemann integrals)

wilson's theorem (for congruences)

special mention : squeeze theorem (mainly cause of the name)

[8.08 am] Just finished revising all the vector calculus that I have done so far. I will do 10 more pages of vector calculus today. Just praying to God that this day goes well.

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[12.29] I studied vector calculus for an hour and so done with it for today. I will later check out Paul's online notes to see if I can use them for my next two chapters. But for now, I'll watch a movie.

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[10.18] I completed three chapters of analysis 1.Omgggg.I was listening to some om chantings in the afternoon because I was getting stressed. It did help and made my day go so much better. I still haven't figured out how I will remember the proofs. I understand them and only vaguely reconstruct them. I just have to remember that I don't need to stress about it. I'll eventually get to know about it. If you guys know how to do it then please let me know <3

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217 days left to go...

Will I make it ?

The Mayriit Project.Stay tuned on a Tumblr blog near you.

Monday, 3rd April 2023

Quantum Notes - Time-Dependent Schrödinger Equation

Back at the notes this morning after a chilled weekend; I’m hoping to finish quantum today, as the quicker I make my way through notes and flashcards and onto proper practising, the better - fingers crossed for a productive day :)

🎵 Deadwing - Porcupine Tree

223 Days, 50 assignments, 24 courses and 1 tiny room...

The Exam:

Joint Admission test for Masters (JAM) is a common admission test conducted every year for admission into M.Sc and other post-graduate science programs at Indian Institute of Technology (IITs), Indian Institute of Science (IISc) and National Institutes of Technology(NITs), organized by alternating institutes every year. 

The Contender :

A brave and a somewhat kind soul is trying to make a place for herself in this world.Managing bullies while trying to make new friends is proving to be a challenge.Having clumsy habits is not making her life any better.Self doubt is killing whatever is remaining and all she has left with is hope.Hope that she will get better and her life with it.She intends to do this by appearing for the IIT JAM Mathematics exam.An exam where 15,000 students compete for 500 seats in the best colleges around the country.

Will she make it? How far will she go? We can only wait. And wait. And wait…..

The Mayuriit Project. Coming soon to a Tumblr blog near you

Hi guys! As some of you may know, I’ve been trying to switch over to Notion to stream-line all my research progress and notes in one space. Unfortunately, all the examples I found here on Tumblr and on Youtube were more geared towards a bullet journal adaptation of Notion or more undergraduate-focused use of the app, which wasn’t what I wanted to model mine after. Therefore, I decided to play around with Notion myself and ended up making it work for my purposes. Because I am using this with the intention of being more focused and having my priorities straight, I kept the theme pretty basic and efficient. I am still working on learning how to use this app for my purposes but I decided to make this post to show you guys how I set up my Notion. Feel free to message me if you ever have any questions about my set-up or would like to see more of how I set a particular page up. Some toggles and texts are blurred out for research privacy purposes since it is unpublished data. [click on individual images for full res.]

Zero to the power of anything is zero. Anything to the zeroth power is one. So what is zero to the zeroth power?

The world's most cited mathematicians would seem to be in disagreement about the issue

someone needs to tell Lance Armstrong about the Banach Tarski paradox

Theorem: Take a circle, the area of this circle is the same as area of a right triangle that has one leg equal to the radius and one leg equal to the circumference of the circle..

A long time ago in a faraway land people led simple lives by the means of agriculture. There was plenty of food to eat and to be merry. They had roofs on their head and fresh river water flowing nearby. Life seemed perfect but it was not. Every year when the rains 🌂 began, the river nearby would flood into the village and destroy their lands and homes. The people in the village would move to a nearby village for shelter with their cattle. When the rain stopped they used to come back and each time they came back they found their place in destruction. Their houses had to be rebuilt and their lands had to be outlined again. Fights were a common scene on how the outline was before the water washed it away. So the concept of the area came to maintain peace.

Finding areas of lands made with straight lines was easy but how to find the area of a land that is a curve ?

Firstly instead of taking a land made up of crazy curves let's take a land made up of the simplest curve, the circle.Draw a circle and fill in its area. Then divide it into large equal parts and arrange them in a rectangle.

It's not yet a perfect rectangle.So divide the circle in parts and try arranging these sections into a rectangle.You'll get a thing that starts looking like rectangle.

Now as you divide the circle more and more and try to arrange those parts you'll get a more nice rectangle. This more and more is nothing but the concept of limits in calculus.

So the area of the circle is the area of the rectangle.The area of the rectangle is Base×Height. Here the height of the rectangle is the radius of the circle and Base is equal to twice the area of the circle. So cut up the rectangle diagonally and you'll get a right-angled triangle with a Base as the radius of the circle and height as the circumference of a circle.

30th July 2020

🌿What would be your perfect summer day? 🌿

Wake up late,have a light breakfast,pack a good lunch and go to a nearby scenic water place with my family.My family includes my parents,my cousins,my uncles and aunts.Eat a ton of fruits,play a lot of games,make a truck load of memories and fall asleep on my mommy's shoulder in the car on the way back home.