Someone Needs To Tell Lance Armstrong About The Banach Tarski Paradox

july 16, 2021

Hey everyone! For the past few days (and since I found out about energy management) I’ve actually been super productive and getting all my work done! It’s very satisfying tbh. And I’ve already started planning out my senior year again. I’m aiming for all A’s this semester! And it’s gonna be difficult because all of my courses are either honor level, accelerated honor level or college level courses because of the school I go to (besides stuff like PE, student life courses, etc) but I’m confident that I can do it! :)

16th July - Do you have any summer traditions?

I usually travel out of the country each summer, but COVID -_-

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.

I’m so tired today,Btw my august spread.

Happy August you guys ^_^

I am currently studying Analysis 1.In that they proved that the square root of 2 is an irrational number using the approximation of supremum concept and I'm floored.The proof itself makes use of 2 concepts (the completeness axiom and the law of trichotomy).I'm just in love with that proof right now.

Above are some pages from my journal.

Hope you are having a goody goody day 🍰

Day 1

Assignment: Classwork of Vector Calculus

[11.32 am]I have ODE lab viva soon and I am terrified but hopefully, it will be over soon. I have given myself the task of completing 20 problems of vector calculus.

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[3.20 pm] I did start but there has been a dip in my motivation.So I guess I will just take a nice bath, cook some snacks for myself and my parents and then sit and study again.

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[9.45 pm] I am done for the day.Today I did some problems on vector calculus.I don't know why but I felt tired in the evening and just could not sit and solve stuff so I did not force myself.There is some kind of peace in calculating the angle between two very complex surfaces don't you think? Only if I had more energy to go through it.But now I remember also loving the concept of directional derivative.It is not done yet so gotta continue tomorrow.

222 days left to go..

What does FTC say?

It says that if a person takes the derivative of a function and then integrates it over a region on the number line say [a, b] then this is the same as evaluating the function on its endpoints.

What does the Green's Theorem say?

Green's Theorem is the fundamental theorem of calculus in 2 dimensions.Instead of taking the derivative of a single variable function we take the curl of a 2 variable function.Instead of integrating this over a number line we integrate it on the xy plane.Instead of evaluating the function at the two endpoints a and b and taking the difference, we take the line integral of the function and integrate it around the curve in a counterclockwise direction.

What does the stokes' theorem say?

Stokes' theorem is the fundamental theorem of calculus in 3 dimensions. Instead of taking the derivative of a single variable function, we take the three-dimensional curl. Instead of integrating this over a number line, we integrate it on the surface (To evaluate the surface integral one has to dot the vector field with unit normal vectors). Instead of evaluating the function at the two endpoints a and b and taking the difference, we take the line integral of the function and integrate it around the curve on a surface in a counterclockwise direction just like in Green's Theorem.

Heya!!

So today I just revised the first four easy chapters of analysis 1 and then I started chapter 12 (Analysis 1).Chapter 12 is about tests for convergent series like the leibinz test for alternating series,comparison tests (there are two of them) and a lot more which I will be doing tomorrow.I am feeling very tired today.I didn’t even do much.I just had 2 hours of statistics exam and have been feeling tired ever since.Maybe I did not rest enough after the exam or maybe I just have to go and sleep now.

I did place an order for some multivitamin pills though.This is the first time I’ll be using the brand so let’s just see how that goes and apart from that I telephoned two of my school teachers.Here in India it’s guru Poornima (Basically Teacher’s Day according to the Hindu calendar) and it was lovely talking to them.I really do miss them a lot.I also put a sheet mask on in the evening hoping that it’ll make me feel better.It did but I’m still tired so I’m just gonna go sleep.

Aww look at you cutie reading everything hehe I hope your day went better^_^

See you tomorrow <3

[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

***

217 days left to go...

Will I make it ?

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

I love nights because I can peacefully think about proofs without self made restrictions (To do lists and life)

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