Breakfastisready नाश्तातैयारहै @Breakfastisready@mathstodon.xyz

More manuscript reading. Apparently, I missed out a section where I had contributed.

https://www.scientificamerican.com/article/does-optimism-on-climate-change-make-you-pro-trump/

Good article about two books I recently read. For anyone who spends a lot of time thinking about climate change, read these two books:

"The Uninhabitable Earth" by David Wallace-Wells and "Apocalypse Never" by Michael Shellenberger. These two books take diametrically opposite stances on climate change whie being very informative.

Finally read the manuscript, found errors, wrote comments.

My stomach is still warm from all the tea that I had to consume. Thanks mathstodon.

Alright. Second attempt at being productive.

Go manuscript, go!

Two hours later, I find myself watching Rambo (2008) on a random telegram channel. Sigh.

Here is a small proof that the multiplicative group \(B^*\) of a unital Banach algebra \( B \) is open. For this, we need to show that every \( x\in B^*\) has an open ball around \(x\) WRT the norm. For this, observe that \(x + a\) is invertible whenever \(||x^{-1} a || < 1 \).

That's because \[ x+ a = x(1+x^{-1}a) \] and the following is an inverse of this:\[ (1 - (x^{-1}a) + (x^{-1}a)^2... ) x^{-1} .\]

It converges because of the norm condition.

#proofinatoot

This manuscript is about a very strange area of mathematics called Non-commutative differential equations (NCDE). They're differential equations for things that take values not in real or complex numbers, but rather over a non-commutative algebra.

These things are used to talk about symmetries of a whole family of functions, for example the (generalized) polylogarithm functions. In this sense, NCDEs can be a whole family of differential equations packed into a single equation.

For the next few hours, I am committing myself to reading a manuscript that I have been avoiding for a while.

I will be active on Mathstodon for this duration, as an experiment to see if it helps me become more productive.

Sometimes I feel such strong anxiety regarding climate change! I don't even know what to do.

There's a change.org petition going on that wants to revoke Arnab Goswami's academic degrees. Please support this by uniting against this vile hateful man.

http://chng.it/GnhnJGb8

From:
https://en.wikipedia.org/wiki/Exodus_Collective

I wish they could do something like that in India. An after-riot party.

Nice math podcast.

https://kpknudson.com/my-favorite-theorem/

I made a song. 😊

It is my debut into making music.

https://soundcloud.com/breakfastisready/kaalia