## 16/1/2019

I was studying in the library today. I mostly did some math problems (lol) but I also read a bit of biology n chemistry. I plan to finish sone homework when I get home today :)

I was studying in the library today. I mostly did some math problems (lol) but I also read a bit of biology n chemistry. I plan to finish sone homework when I get home today :)

A Hopf fibration. This gorgeous visualization portrays a suitably deep idea in differential topology.

The Hopf fibration describes 3-spheres (aka hyperspheres, 4-dimensional analogues of spheres), in terms of “ordinary” spheres and circles. It is an early example of a fiber bundle.

Quoting Wikipedia, “Technically, Hopf found a many-to-one continuous function (or ‘map’) from the 3-sphere onto the 2-sphere such that each distinct *point* of the 2-sphere comes from a distinct *circle* of the 3-sphere (Hopf 1931). Thus the 3-sphere is composed of fibers, where each fiber is a circle—one for each point of the 2-sphere.”

Hopf fibrations have many useful properties. I write, however, because they are beautiful.

Mathematics is beautiful. <3

**|| 01:28 AM 16/01/2019 ||**

Late night topology… It’s super theoretical but it really helps get the ins and outs of single-variable and multi-variable analysis!

Generally speaking, the convergence of a sequence in R is defined using the absolute value, but it is a choice of a certain distance! Convergence can actually be defined with any distance!! How general is that hahaha

AP Physics: Atwood’s Machine

Kaise Mujhe Tum Mil Gayi

Only for true Mathematicians!

Sierpinksi and cheese, for your fractal snacking.

Mathematics is delicious. <3

Circle-packing on the surface of a gyroid! Cool!

Mathematics is beautiful. <3

I was In my math class and some kids were yelling and arguing with the teacher about something (idek what) and I kinda just sat there and thought to myself…. “drama in the math fandom”. I’ve never been more proud of my brain…

14-1-19

First day of the spring term has gone alright! My 9am computer lab was cancelled which left me some time this morning to make some neat notes on series before my lectures.

Hi studyblr community! I have been using tumblr for a very long time and now i decided to start a study blog to share what i am studying on a daily basis (hopefully lol) and get motivated. Here is my handsome boy sleeping on my bed 💕 This will be my first personal post on here and tomorrow i’m planning to start the 100 days of productivity challenge. Wish me luck and have a good studying y'all!!

Some of you guys didn’t have to invent calculus and overthrow the Aristotelian method and it shows

AP Calc: Definite Integrals

Conquer

Maria Popova reads “Pi” by Wislawa Szymborska

Is this a thing? Why is my calculator wishing me a good morning?

THIS IS A little collection of talks and demonstrations of a central

yoga-like technique or practice in my NEW MUSIC, POETRY & DANCE

performance project, THE CIRCLE IN THE SQUARE. It’s called, TALKING

HANDS / TALKING FEET.