July 16, 2021

[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.

[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.

***

[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.

***

[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.

saga in black and white

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.

july 21, 2021

Hello! Here’s a picture of some of the books in my bookshelf that I haven’t read yet :). Today is kind of ok, besides the stomach cramps I’m having ;-;. But I’m trying not to let them ruin my mood anyways :)

21st July - What is an unpopular opinion that you have about summer?

Sorry but summer is very overrated. And I don’t particularly enjoy baking in my own sweat 

Hey guys! I wanted to make a challenge that felt achievable to folks while still giving that sweet sense of accomplishment. My mental health has been rough lately so I kind of designed it for myself as I try to find balance between taking care of myself and taking care of my goals.

The rules: Every day for 14 days, study and post a picture of what you worked on. It can be for two minutes or for hours. Doesn’t matter—you did something! There are also mental health prompts for each day I’d love if you answered. They range from pretty light to more thoughtful. Do your best!

I’ll be tracking and reblogging from the tag #TwoWeekStudyChallenge. Please don’t worry about your pics not being aesthetic enough or that what you’re doing isn’t interesting enough. It is, I promise!

This is set up like the 100 Days of Productivity Challenge: no start/end dates. It’s a personal challenge that’s there when you need it!

Week One Prompts

Day 1: What self care did you practice today?

Day 2: What did you do that made you feel proud today?

Day 3: Have you experienced burnout from studying? How did you handle it?

Day 4: How can you improve on taking care of your mental health?

Day 5: What kind of support do you wish you received from your school/university?

Day 6: What popular self-care ritual does nothing for you?

Day 7: What small thing brings you the most comfort?

Week Two Prompts

Day 8: What’s your comfort song?

Day 9: Do you think your long term goals are achievable and healthy? Why or why not?

Day 10: What subject brings you the most joy to study, either for school or on your own?

Day 11: Do you take mental health days? Do you think you should?

Day 12: What’s your creative outlet? What’s a new one you’d like to try?

Day 13: What makes you feel inadequate? Would you think it made a friend inadequate?

Day 14: What makes you feel strong and capable?

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

🌟3rd August 2021 🌟

Summer Studying Challenge by @myhoneststudyblr

Q. What is your least favourite thing about the beach?

Probably getting sand in my hair lol

📷 The picture attached is my bujo spread for the first week of August.

📚Currenly Reading : Men of Mathematics by E T Bell.

Mathematician and theoretical physicist Theodor Kaluza ( left) and theoretical physicist Oscar Klein who formulated the Kaluza-klein theory (kk theory) which is a classical unified theory of gravitation and electromagnetism built by formulating Einstein's field equations in five dimensions, considered an important precursor to string theory.

The original hypothesis came from Kaluza who sent his results in a letter to Einstein in 1919 and published his results in 1921. Kaluza presented a purely classical extension of general relativity to five dimensions with a metric tensor of 15 components ( 10 associated with 4 dimensional spacetime metric, 4 associated with electromagnetic vector potential and 1 representing a scalar field)

Oscar klein gave Kaluza's classical five dimensional theory a quantum interpretation by suggesting that the fifth dimension was curled up and microscopic to explain the cylinder condition and it's geometry could take the form of a circle of radius 10⁻³⁰

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)