The best books on applied mathematics, as recommended by Nick Higham, Professor of Applied Mathematics at the University of Manchester.

Check out the math & physics courses that I mentioned (many of which are free!) and support this channel by going to https://brilliant.org/Sabine/ where you can create your Brilliant account. The first 200 will get 20% off the annual premium subscription.…

Automatic differentiation (AD) in reverse mode (RAD) is a central component of deep learning and other uses of large-scale optimization. Commonly used RAD algorithms such as backpropagation, however, are complex and stateful, hindering deep understanding…

Calculus 3 Lecture 11.1: An Introduction to Vectors: Discovering Vectors with focus on adding, subtracting, position vectors, unit vectors and magnitude.

Linear algebra is the branch of mathematics concerning linear equations such as. linear functions and their representations in vector spaces and through matrices.

In this video you will learn about #linear #algebra that is used frequently in quantum #mechanics…

Prof. Leslie Lamport is an American computer scientist. A graduate of the Bronx High School of Science, he received a B.S. in mathematics from the Massachusetts Institute of Technology in 1960, and M.A. and Ph.D. degrees in mathematics from Brandeis University…

I'm going to attempt to explain undergraduate-level quantum mechanics in under 15 minutes, without requiring any mathematical background. I'll skip all the philosophy, since that tends to be confusing, and instead just focus on what quantum mechanics is.…

How did life begin on Earth? It’s one of the greatest and most ancient mysteries in all of science — and the clues to solving it are all around us. Biologists have sometimes imagined evolutionary history as a recorded “tape of life” that might turn out differently…

Public Lecture

Topic: Spacetime, Quantum Entanglement and Black Holes
Speakers: Ahmed Almheiri, Geoff Penington, Subir Sachdev and Juan Maldacena
Affiliation: Institute for Advanced Study
Date: May 06, 2022

Modern theoretical investigations into the nature…

Earth looked very different long ago. Search for addresses across 750 million years of Earth's history.

Fully incorporating differentiable programming (∂P) into the Julia language has enabled composability between modern machine learning techniques and existing high performance computing (HPC) modeling and simulation without sacrificing expressivity. Most notably…

Scientists don’t really agree on a definition for life. We may recognize life instinctively most of the time, but any time we try to nail it down with set criteria, some stubborn counterexample spoils the effort. Still, can we really search for life on other…

The second Copernicus Center Lecture was delivered by Professor Roger Penrose, a famous physicist and philosopher of science. Professor Penrose titled his speech "Aeons before the Big Bang". Like the year before, the Copernicus Center Lecture was part of…

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6月17日 中国第三艘航母被命名为福建舰，它采用了世界最先进的电磁弹射技术。因为航母甲板没有地面飞机跑道那么长，许多地面上起飞的飞机，在航母上飞不起来，所以人们先后发明了可以垂直起降…

On July 4, 2012, researchers at the CERN laboratory in Europe announced the discovery of the Higgs boson. It was a tremendous triumph for the Standard Model of particle physics and confirmed a prediction made nearly half a century prior. In 2022, we celebrate…

Today we have a special treat. A conversation with Brian Kernighan! Brian’s been in the software game since the beginning of Unix. Yes, he was there at Bell Labs when it all began. And he is still at it today, writing books and teaching the next generation…

Freeman John Dyson combined a long career with a short attention span, contributing
to five fields of mathematics and 11 fields of physics, as well as to theoretical
biology, engineering, operations research, literature and public affairs. At the age
of ...

Lucien Hardy is a theoretical physicist working at the intersection of the two pillars of modern physics – general relativity and quantum mechanics – in the quest for a single unifying theory: quantum gravity. Hardy joins co-hosts Lauren and Colin for a conversation…

Dan Fleisch briefly explains some vector and tensor concepts from A Student's Guide to Vectors and Tensors