Matthew Ashman

Lazy perfectionist. Mostly retweets about Christianity, West Ham, Linux, maths, physics and history.

[Seumas Milne’s Left Bollock @MilneSeumas]

Now we go live to that Reform UK “independent candidate vetting agency”…

[bourbaki @2oovy]

Kid in my office hours finally cracked and admitted to using ai for a very trivial point set topology problem

[Zack Polanski @ZackPolanski]

Antisemitism is serious.

That’s precisely why it should never be weaponised as a political football. Labour doing so should disgust people across every community.

And all this while they continue to arm a genocide and lock up pensioners.

[Grant Sanderson @3blue1brown]

Some reflections on AI in math. I found it helpful to simply list out the various parts of what a mathematician does, why math is valuable, and where the funding comes from. From there, what happens if AI gets more capable?

https://t.co/H5T1WdIBzw

[MathType @MathType]

In mathematics, the Hessian matrix, Hessian or (less commonly) Hesse matrix, is a square matrix of second-order partial derivatives of a scalar-valued function, or scalar field. It describes the local curvature of a function of many variables.

#math #mathematics #mathematical

[Didier 'Dirac's ghost' Gaulin @DiracGhost]

You might think it's obvious, but in this nice little primer titled ''Towards a Definition of an Algorithm'' by Yanofsky, you'll discover that the question of a definition for algorithms isn't so obvious, after all.

🔗👇

[Numberphile @numberphile]

Terence Tao on "the end of heroes" and the end of mathematics' romantic era...

The full 20 minutes in on Numberphile...

[Miles Cranmer @MilesCranmer]

Here is the full talk:

[Math Cafe @Riazi_Cafe_en]

"Crafting Interpreters" by Robert Nystrom

A hands-on, beautifully illustrated guide to building two complete language interpreters from scratch.

Read free: https://t.co/5lQPiehDOe

[Probability Fact @ProbFact]

A random number generator may have excellent statistical properties and yet be unsuited for cryptography.

[Mathematica @mathemetica]

A single number is already a tensor.

Add one index and it becomes a vector. Add a second and you have a matrix. Add a third and the array becomes a cube of numbers. Each step simply increases the number of indices needed to pick out one entry.

Rank is that count: 0 for a scalar, 1 for a vector, 2 for a matrix, 3 or more for a full tensor. The same rules of addition and multiplication apply at every level.

Tensors are not a new kind of object. They are the general case that includes everything else.

[Bushra Shaikh @Bushra1Shaikh]

Zionism is to Judaism what ISIS is to Islam.

An extremist political ideology.

[Timothy Gowers @wtgowers @wtgowers]

Many people with relevant expertise think there's a real chance that AI could kill us all in the not too distant future. Others disagree. I've written a post, aimed principally at mathematicians, detailing my struggles to decide what to make of this.
https://t.co/nApznKOSWT

[Owen Jones @owenjonesjourno]

This is wild!

Sarah Helm is married to Jonathan Powell.

As in - Britain's National Security Adviser.

And she's come out in support of Palestine Action!

🤯🤯🤯

[Antonio Lupetti @antoniolupetti]

"Introduction to Probability" by Charles M. Grinstead and J. Laurie Snell is a university-level textbook published by the American Mathematical Society that has become a classic introduction to probability theory.

With over 500 pages, the book provides a comprehensive treatment of probability, combining rigorous mathematical foundations with intuitive explanations, worked examples, exercises, and computer simulations.

It covers discrete and continuous probability distributions, conditional probability, independence, expected values, variance, the law of large numbers, the central limit theorem, Markov chains, and random walks. The full book is available free online.

https://t.co/6h1D1Tdg21

[Didier 'Dirac's ghost' Gaulin @DiracGhost]

The weakest part of my understanding of physics so far is still cosmology, so I've been trying my best to improve this lacuna of mine and I've been reading this primer titled ''Introduction to Cosmology'' by Lyth, which I would strongly suggest if you're a newcomer to the topic.

This is of course a short primer (50 pp), therefore this will have to be accompanied by a textbook, but it has done a good job speed running me through the basics.

If you got nothing planned this week end, you might want to pick this one up!

🔗👇