#focusign

04.09.20

recently i’ve been trying a lot of different things to make myself feel less isolated since school is all online TT

i spent the entire day painting today so i didn’t have to think about social interactions :””) have you tried anything new this year?

dark academia - acoustics n lots of hozier for that classical literature aesthetic 

cowboy music - western-sounding indie music for ppl who don’t like country music lmao

8tracks indie - if you’re one of the OGs who used 8tracks, these are the songs that were in like every single playlist

rainy - lots of oldies! i kinda imagined it as cafe music during the post apocalypse hehe 

soleil - warm-sounding songs!

surf rock - the sort of music that’d be in a summer indie film soundtrack

moomin! - it’s cottagecore, babey!

oranges and honey - lo-fi

🐼3rd July and 4th July of Summer Studying Challenge 2021🐼

Do you have a lot of work this summer?

The work is not a lot but I do need to be disciplined to get it all done.

What is the most important task that you need to complete this summer ?

i went to the bookstore and look at this cute lil book i found! it includes short stories about neighbourhood cats and their teeny perspective on the world 🥺

2020.08.03 // Day 29

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.