Eigenvector Wavefunction Aldo 🇺🇸🇺🇦

I’m interested in math, physics, cosmology, and other sciences too. I occasionally also tweet about classical music and jazz. MBA. I work in the publishing ind.

[Eigenvector Wavefunction Aldo 🇺🇸🇺🇦 @MathIsBeauty]

Unfortunately, this cult of ignorance and anti-intellectualism has been intensified and weaponized for political and financial purposes, with anti-evolutionists, antivaxxers, climate deniers, et al., polluting the dialogue/information space.

[Philosophy Of Physics @PhilosophyOfPhy]

Happy Birthday Dr Carl Sagan ✍️

92 years ago today, the universe produced a man who would spend his life helping us understand it.

Carl Sagan didn't just study the cosmos. He gave it to us.

The scientist;

He helped show that Venus is a runaway greenhouse world, a warning written in the clouds of our nearest neighbour. He studied the seasonal changes on Mars and the hazy organic chemistry of Titan, and he played key roles in the Mariner, Viking, Voyager and Galileo missions.

The messenger;

He helped compose humanity's first messages to the stars: the Pioneer plaques and the Voyager Golden Record. Two golden discs carrying our music, our languages and our greetings are still drifting beyond the Sun's reach. They may outlast every city on Earth.

The conscience;

In 1990 he persuaded NASA to turn Voyager 1 around for one last look home. From 6 billion kilometres away, Earth appeared as a single pale blue pixel suspended in a sunbeam. That image changed how we see ourselves. Every border, every war, every human story fits inside that tiny dot.

The teacher;

"Cosmos" carried science into hundreds of millions of homes. "The Dragons of Eden" won a Pulitzer Prize. "The Demon-Haunted World" handed us a candle in the dark: scepticism, evidence and wonder, held together.

The guardian of our future;

He warned the world about nuclear winter and climate change long before most were listening. He believed our survival depends on wisdom keeping pace with our technology, and that reaching for the stars and caring for our home planet are the same act of love.

His greatest gift;

He taught us that science is not cold. It is the most profound way we have of feeling at home in the universe. We are made of star-stuff, and through us the cosmos has begun to understand itself.

Thank you, Carl, for looking up and taking all of us with you.

The pale blue dot still remembers you.

[Mario Livio @Mario_Livio]

Today Nov 9. #OTD in 1934 astronomer Carl Sagan was born. Played an active role in the Mariner, Viking and Voyager programs. Published numerous scientific papers and articles and several popular science books. Won the Pulitzer Prize for General Nonfiction for The Dragons of Eden.

[Prof. Brian Keating @Briankeating]

Carl Sagan would have turned 92 today.

For a brief moment, the universe assembled some star stuff into a man who taught millions of us how to understand it.

Then it cruelly took him away at 62.

I still think the cosmos owes us an explanation.

[Eigenvector Wavefunction Aldo 🇺🇸🇺🇦 @MathIsBeauty]

@lindaxie Did you check out the Theoretical Minimum? https://t.co/PlrqspZhqj

[Eigenvector Wavefunction Aldo 🇺🇸🇺🇦 @MathIsBeauty]

@chris_juravich That’s the exact book I used back in college.

[Chris @chris_juravich]

Lobachevsky! Then integration by parts: the boundary terms vanish, and the remaining integral of ln(cos x) is well known.

[square 🟥 @chloeallegra228]

my friend elliot is a titan of the formalization renaissance

[Eigenvector Wavefunction Aldo 🇺🇸🇺🇦 @MathIsBeauty]

@StoneXMaxwellSt Thank you! I’m thinking of a Yamaha P-225. Do you think it’s a solid choice, or do you have any other recommendations?

[wise political commentator (derogatory) @b_n_d_l_e]

I don’t believe the election results until they’re lean certified

[Martin Bauer @martinmbauer]

"Scientists detect signals at the smallest scale ever explored"

The BBC on the discovery of ultra-rare B meson decays at LHCb and and the UK science funding crisis

https://t.co/16299gcq3b

[Olivier Minazzoli @OMinazzoli]

Why did Einstein introduce the cosmological constant?

The usual story is that he wanted a static Universe.

But the actual motivation is more interesting, and involves a fundamental principle that has largely been forgotten.

A thread 🧵

[Haider. @haider1]

Mathematician Terence Tao:

"one thing i think will happen soon is an explosion of experimental mathematics"

Most sciences have both theory and experiments but math has been almost entirely theoretical since proving things on paper was easier than collecting millions of data points

Right now there's no map of which math fields are hard or easy. Very soon there will be

[Steven Strogatz @stevenstrogatz]

Nice to see Terry in such a jovial mood! Chatting with the great @BradyHaran can do that – believe me, I know!

[Antonio Lupetti @antoniolupetti]

"Understanding Linear Algebra" is a free university-level textbook of nearly 500 pages that provides a comprehensive introduction to linear algebra.

The book covers systems of linear equations, vectors, matrices, linear combinations, linear independence, bases and coordinate systems, determinants, eigenvalues and eigenvectors, diagonalization, orthogonality, least squares, singular value decomposition, principal component analysis, and applications such as image compression and Google's PageRank algorithm.

The book offers clear explanations, geometric interpretations, examples, and numerous exercises, making it a useful resource for anyone studying linear algebra for the first time or looking to review its fundamental concepts.

https://t.co/fsrhX7sYQW

[Reilly Belle Air 💙🚺🌈💪 🌊 💙 @ReillyBelle57]

This doctor schools JD Vance in his racist comments on it should be required to speak English to get medical care.

[Saganism @Saganismm]

"Books break the shackles of time. A book is proof that humans are capable of working magic."

― Carl Sagan

[Bahram Shakerin @BahramShakerin]

Can all phase transitions be explained as symmetry breaking through Landau’s remarkable theory?

Sakura Schafer-Nameki

https://t.co/OVNTwOwfZb

[Steven Strogatz @stevenstrogatz]

It's heeeere!

[Scott Barry Kaufman ⛵ @sbkaufman]

"I don't think minds are made—either biologically or by AI—I think what you make are interfaces."

It was a delight chatting with @drmichaellevin for my new podcast, Human Potential Lab. We nerded out about where genius comes from. Watch the full episode: https://t.co/lt5yJ7L5KK