Petr Domin

[Elon Musk @elonmusk]

Wow, congratulations @JMilei 🇦🇷🇦🇷🇦🇷

[Alex Armstrong @Alexarmstrong]

The left have gone so far left that everything else seems right wing.

• Scientific / biological facts = far right
• Countries should have border controls = far right
• Freedom of speech = far right
• Want lower taxes = far right
• Question the government = far right
• Country has a right to defend itself = far right
• Capitalism = far right

[Massimo @Rainmaker1973]

In 1890, Henri Poincaré proved the non-existence of the uniform first integral of the three-body problem and the sensitive dependence to initial conditions of its trajectories.

Yet, stable solutions to it do exist and these are some of them.
https://t.co/haECKnWsfp

[Ali A. Rizvi 🇨🇦 @aliamjadrizvi]

This is the problem with the media. The focus on a small handful of students walking out on Jerry Seinfeld’s speech has completely obscured any coverage of the actual speech, which is excellent, completely apolitical, and full of gems all young people need to hear.

Here it is in full.

[Santiago @svpino]

This is the best book for learning the mathematics of Machine Learning.

There are two things that make this book different from everything out there:

1. The book is 100% focused on the math required in Machine Learning. This is not about general concepts and theories. This is just what you need.

2. You won't find better explanations anywhere else.

My friend Tivadar Danka started writing the book three years ago. I joined his community and have been reading every new chapter since. I paid for it.

This book is my number one recommendation. Period.

https://t.co/jQ3ao7HzJx

If you want to know how good the book is, check @TivadarDanka's posts. The internet goes on fire every time he writes one of his Math explanations. He is the best at breaking down complex ideas into simple, bite-sized explanations.

The book is an extension of this.

Trust me on this one. This is the book you want to read.

[Sahil Bloom @SahilBloom]

In 2009, Stanford business professor Tina Seelig split her class into groups and issued a challenge:

Each group had $5 and 2 hours to make the highest return on the money.

At the end, they'd give a short presentation on their strategy.

What happened next was fascinating:

[New Technology @pythonclcoding]

Top 10 Machine Learning Algorithms

[PyQuant News 🐍 @pyquantnews]

Machine learning techniques and data for stock market forecasting.

(A free PDF) 👇

[Reygan Dionisio @ZahlenRMD]

Derivatives and Limits

#sharingisthenewlearning

[Massimo @Rainmaker1973]

The traveling salesman problem is a well known challenge in computer science and it consists in finding the shortest route that traverses all cities in a map only once.

This solution uses a Self-Organizing Map.

[🎞️ Diego Vicente]

[Science girl @sciencegirl]

Making the maths simple

📹 JJ Delgado

[Erika  @ExploreCosmos_]

The expansion of the universe, represented by the Hubble constant, has been a well-accepted concept for nearly a century. However, recent measurements have caused tension: while those derived from the CMB suggest a value of ~ 67 km s–1 Mpc–1, .... 1/

👉🏻 https://t.co/RJotSs9yaK

[Yacob Goitom @ybgoi]

𝐝 = _______

𝐍𝐨𝐭𝐞:
𝐝 is the diameter of the smallest circle that is tangent to y = x² and y = −(x−2)² + 1

[Michael Pyrcz🌻 @GeostatsGuy]

A student told me, "I don't get the difference between model fitting by:

1. minimum Mean Square Error (MSE) and
2. Maximum Likelihood Estimation (MLE)"

To help this student, I built out this #Python @matplotlib dashboard for fitting a Gaussian parametric distribution to data while calculating & visualizing the training data MSE and likelihood!

Many students have found this helpful, so I shared it on #GitHub @ https://t.co/OrCHoYT2Sj ∀. #DataScience

[adithya @00aleph00]

One of the most fundamental concepts in modern math is that of a "manifold". Manifolds come up everywhere -- differential geometry, general relativity, machine learning, just to name a few. But when I first encountered them, I found the definition technical and unintuitive.

So I wanted to explain the intuition behind what a manifold is.

What is a manifold? A🧵

[Cliff Pickover @pickover]

Mathematics, algorithms, creation, infinity.

Endless journey.

By @KomaTebe, Used with permission.

Code:
f=0, draw=n=> {for(f||createCanvas(W=400,W),background(0),S=stroke,D=200,i=0;i<TAU;i+=PI/1024)for(o=0;o<TAU;o+=PI/8)x=140*sin(i+o)+D+tan(i-f)*sin(o+f)*9,y=140*cos(i+o)+D+tan(f-i)*cos(o+f)*9,d=dist(D,D,x,y),S(W),point(x,y),S(W,(140-d)/4),line(D,D,x,y);f+=.01};

[Cliff Pickover @pickover]

Map of Mathematics.

Enlarge the figure to see all the wonderful areas for exploration and imagination. Which topic might you find most fascinating?

By Dominic Walliman, @DominicWalliman, Source: https://t.co/mNu0hWzFGW, Used with permission.

[Quanta Magazine @QuantaMagazine]

In string theory, six extra dimensions curl up at every point in our 4D universe, and their configuration determines the macroscopic laws of physics. The game plan for string theory, then, boils down to searching for the specific manifold that would describe the microstructure of space-time in our universe. https://t.co/46pSfWiZA1

[Physics In History @PhysInHistory]

Klein Bottle is a non-orientable surface with no identifiable "inside" or "outside," which can only exist in four dimensions.

[Fermat's Library @fermatslibrary]

Here is the only number that cannot be written as x² + 2y² + 7z² + 11w²