- AI Reveals New Possibilities in Matrix Multiplication (quantamagazine.org)
Except that for a Rubik’s Cube, the number of possible moves at each step is 18; for matrix multiplication, even in relatively simple cases, every step can present more than 1012 options.

- The Simple Geometry Behind Brownie Bake Offs and Equal Areas (quantamagazine.org)
Team Beta quickly followed with their square brownie, which measured 12 inches on each side.

- Why Mathematicians Study Knots (quantamagazine.org)
Alternating knots have properties that make them easier to classify than nonalternating knots.

- Experiments Spell Doom for Decades-Old Explanation of Quantum Weirdness (quantamagazine.org)
But there’s no way of knowing what the outcome of any single measurement will be — quantum mechanics offers only probabilities.

- Inside the Proton, the 'Most Complicated Thing' Imaginable (quantamagazine.org)
More than a century after Ernest Rutherford discovered the positively charged particle at the heart of every atom, physicists are still struggling to fully understand the proton.

- The Proton, the 'Most Complicated Thing' Imaginable (quantamagazine.org)
More than a century after Ernest Rutherford discovered the positively charged particle at the heart of every atom, physicists are still struggling to fully understand the proton.

- Teenager Solves Stubborn Riddle About Prime Number Look-Alikes (quantamagazine.org)
When Daniel Larsen was in middle school, he started designing crossword puzzles.

- How to Prove You Know a Secret Without Giving It Away (quantamagazine.org)
Imagine you had some useful knowledge — maybe a secret recipe, or the key to a cipher.

- Extinct Human Genomes Studies Win Nobel Prize for Medicine 2022 (quantamagazine.org)
The Nobel Assembly at the Karolinska Institute has awarded this year’s Nobel Prize in Physiology or Medicine to Svante Pääbo of the Max Planck Institute for Evolutionary Anthropology in Germany for his pioneering work in genomic studies of extinct humans, including the discovery of previously unknown types of human ancestors.

- How Big Is Infinity? (quantamagazine.org)
Some of those children grow up to be mathematicians fascinated with infinity, and some of those mathematicians are discovering new and surprising things about infinity.

- Physicists Rewrite a Quantum Rule That Clashes with Our Universe (quantamagazine.org)
On one side lies quantum theory, which portrays subatomic particles as probabilistic waves.

- High-Temperature Superconductivity Understood at Last (quantamagazine.org)
When electrons couple up, further quantum trickery makes superconductivity unavoidable.

- AI Algorithm Foresees Chaotic Tipping Points (quantamagazine.org)
Predicting complex systems like the weather is famously difficult.

- Chaos Researchers Can Now Predict Perilous Points of No Return (quantamagazine.org)
Predicting complex systems like the weather is famously difficult.

- How AI Transformers Mimic Parts of the Brain (quantamagazine.org)
Studies by Whittington and others hint that transformers can greatly improve the ability of neural network models to mimic the sorts of computations carried out by grid cells and other parts of the brain.

- Transformers Seem to Mimic Parts of the Brain (quantamagazine.org)
Studies by Whittington and others hint that transformers can greatly improve the ability of neural network models to mimic the sorts of computations carried out by grid cells and other parts of the brain.

- Shannon Entropy Imposes Fundamental Limits on Communication (quantamagazine.org)
This distinction is at the heart of Claude Shannon’s theory of information.

- Isaac Newton Discovered the Binomial Power Series (quantamagazine.org)
In his later work, Newton’s power series gave him a Swiss Army knife for calculus.

- The AI Researcher Giving Her Field Its Bitter Medicine (quantamagazine.org)
Anima Anandkumar, Bren Professor of computing at the California Institute of Technology and senior director of machine learning research at Nvidia, has a bone to pick with the matrix.

- Physics Duo Finds Magic in Two Dimensions (quantamagazine.org)
Its discovery transformed condensed matter physics, the branch of physics that seeks to understand the many forms and behaviors of matter.

- How the Brain Links Gestures, Perception and Meaning (quantamagazine.org)
“It’s a wonderful window into unspoken thoughts, and unspoken thoughts are often some of the most interesting,” she said, with plenty of gestures of her own.

- Self-Taught AI Shows Similarities to How the Brain Works (quantamagazine.org)
An image might be labeled “tabby cat” or “tiger cat,” for example, to “train” an artificial neural network to correctly distinguish a tabby from a tiger.

- Self-Taught AI Shows Similarities to How the Brain Works (quantamagazine.org)
An image might be labeled “tabby cat” or “tiger cat,” for example, to “train” an artificial neural network to correctly distinguish a tabby from a tiger.

- Mathematicians Crack a Simple but Stubborn Class of Equations (quantamagazine.org)
This class of equations, called the Pell equations, has fascinated mathematicians over the millennia since.

- How the Physics of Nothing Underlies Everything (quantamagazine.org)
“We’re learning there’s a lot more to learn about nothing than we thought,” said Isabel Garcia Garcia, a particle physicist at the Kavli Institute for Theoretical Physics in California.

- A Biochemist's View of Life's Origin Reframes Cancer and Aging (quantamagazine.org)
The purist view of “information first” is the RNA world, where some process in the environment makes nucleotides, and the nucleotides go through a process that makes them link up into polymer chains.

- Black holes finally proven mathematically stable (quantamagazine.org)
“These formulas apply to black holes that are just sitting there and never change; those aren’t the black holes we see in nature.” To assess stability, researchers need to subject black holes to minor disturbances and then see what happens to the solutions that describe these objects as time moves forward.

- Geometric Analysis Reveals How Birds Mastered Flight (quantamagazine.org)
“I wanted them for bird flight.” To understand the stability and instability of bird flight and the challenges that birds face in controlling them, Harvey realized, she and her team needed to map out all the inertial properties of birds, something that previous studies largely ignored or treated as unimportant.

- Physicists come close to resolving the black hole information paradox (quantamagazine.org)
In a series of breakthrough papers, theoretical physicists have come tantalizingly close to resolving the black hole information paradox that has entranced and bedeviled them for nearly 50 years.

- The Computer Scientist Trying to Teach AI to Learn Like We Do (quantamagazine.org)
Kanan has been toying with machine intelligence nearly all his life.

- Particle Physicists Puzzle over a New Duality (quantamagazine.org)
The formulas, called scattering amplitudes, give the probabilities of possible outcomes of particle collisions.

- The Peculiar Math That Could Underlie the Laws of Nature [2018] (quantamagazine.org)
When you double the dimensions with each step as you go from real numbers to complex numbers to quaternions to octonions, she explained, “in every step you lose a property.” Real numbers can be ordered from smallest to largest, for instance, “whereas in the complex plane there’s no such concept.” Next, quaternions lose commutativity; for them, a × b doesn’t equal b × a.

- Seeking Mathematical Truth in Counterfeit Coin Puzzles (quantamagazine.org)
The scales are A, B and C. You can translate the two digits of the license plate to the coins as follows: 01 is coin 1, 02 is coin 2, 10 is coin 3, 11 is coin 4, 12 is coin 5, 20 is coin 6, 21 is coin 7 and 22 is coin 8.

- New Number Systems Point Geometry Problem Toward a Real Solution (quantamagazine.org)
To define one of these small number systems you first pick a number.

- Two Weeks In, the Webb Space Telescope Is Reshaping Astronomy (quantamagazine.org)
As soon as President Biden unveiled the first image from the James Webb Space Telescope (JWST) on July 11, Massimo Pascale and his team sprang into action.

- Computer Science Proof Unveils Unexpected Form of Entanglement (quantamagazine.org)
Computer scientists disagreed.

- Mass and Angular Momentum, Left Ambiguous by Einstein, Get Defined (quantamagazine.org)
In 2015, it enabled them and a collaborator to define quasilocal angular momentum.

- Hypergraphs Reveal Solution to 50-Year-Old Problem (quantamagazine.org)
In 1850, Thomas Penyngton Kirkman, a mathematician when he wasn’t fulfilling his main responsibility as a vicar in the Church of England, described his “schoolgirl problem”: “Fifteen young ladies in a school walk out three abreast for seven days in succession: it is required to arrange them daily, so that no two shall walk twice abreast.” To a modern mathematician, this kind of problem is best imagined as a hypergraph — a set of nodes collected in groups of three or more.

- Embryo Cells Set Patterns for Growth by Pushing and Pulling (quantamagazine.org)
One of the longest-standing questions in biology is how a living thing that starts as an embryonic blob of uniform cells morphs over time into an organism with diverse tissues, each with its own unique pattern and characteristics.

- Quantum Algorithms Conquer a New Kind of Problem (quantamagazine.org)
In 1994, a mathematician figured out how make a quantum computer do something that no ordinary classical computer could.

- In Times of Scarcity, War and Peace, a Ukrainian Finds the Magic in Math (quantamagazine.org)
“Her math teacher became my math teacher,” Natalie said.

- Google Store in NYC has removed its Stadia experience room and demos (9to5google.com)
As it stands today, the Google Store in Chelsea offers three experience rooms; one for Nest products such as Nest Audio and Hub, a room to test out Pixel smartphone cameras, and now a room to experience the Pixel Buds Pro – that Pixel Buds room replaced the previous Stadia space (more on that soon).

- Heavy Rain Developer Quantic Dream Acquired By NetEase (ign.com)
French developer-publisher Quantic Dream (Heavy Rain, Detroit: Become Human) has been acquired by Chinese company NetEase.

- LinxReveals invisible links within JavaScript files (github.com)
linx requires go1.17 to install successfully.

- ~7% speedup from switch to += (github.com)
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.

- Behold the Magnetar, nature's ultimate superweapon (arstechnica.com)
If you think black holes are the scariest things in the Universe, I have something to share with you.

- Google Japan Puts Entire Keyboard on One Long Stick (gizmodo.com)
Several years ago, Google Japan started cooking up weird novelty keyboards as an annual April Fool s’ Day prank.

- Google Duo's Meet-ification is starting for everyone (androidpolice.com)
There's a big transition in the works right now, as Google takes its latest stab at “simplifying” its communication apps by merging Duo and Meet.