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🎬 Title: Formula 1: The Official Review Of The 2021 FIA Formula One World Championship
Thrilling, dramatic, and action-packed until the very end – dive into an unforgettable season
Synopsis: Witness a fierce rivalry between two of F1’s most iconic drivers as they battle for the Drivers’ World Championship like never before. The thrilling showdown between seven-time champ Lewis Hamilton and…
🎬 Title: Formula 1: The Official Review Of The 2024 FIA Formula One World Championship
Thrilling races. Year-long excitement. A battle until the end.
Synopsis: Spanning 24 races around the world, this was the most extensive F1® season to date. The intensity of the competition was palpable, with every moment packed with action. Experience Max Verstappen’s determined quest for a fourth consecutive…
🎬 Title: Formula 1: The Official Review Of The 2022 FIA Formula One World Championship
Harder. Faster. Closer than ever. Experience a thrilling season filled with unforgettable F1 moments.
Story: The 2022 FIA Formula One World Championship™ marked a dramatic shift in the racing landscape. Teams entered with fresh intentions, vying fiercely for supremacy through 22 intense races worldwide,…
Apple and Netflix have entered a partnership to co-broadcast the Formula 1 Canadian Grand Prix, announced Thursday by Apple’s senior vice president of services, Eddy Cue. For the first time, F1 fans in the U.S. will be able to watch the live race simultaneously on both Apple TV and Netflix.
Netflix subscribers will be able to stream the full race weekend — including practice, qualifying, and the…
Apple and Netflix team up to air Formula 1 Canadian Grand Prix
Laurence EdmondsonFeb 16, 2026, 10:32 AM ET
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• Joined ESPN in 2009• An FIA accredited F1 journalist since 2011
Multiple Authors
Formula 1 has confirmed an extension of its race contract with the Circuit de Barcelona-Catalunya, which will see the Spanish venue remain on the calendar on a rotational basis with Spa-Francorchamps until 2032.
The new deal will see F1 race at the Spanish circuit…
Barcelona circuit to remain on Formula 1 calendar until 2032
Danone Expands Infant Formula Recall Across Europe Over Cereulide Toxin Concerns
Introduction
French food giant Danone has expanded its recall of infant formula products across multiple European countries, raising significant safety concerns for parents and caregivers. The recall, prompted by the potential presence of cereulide toxin, now affects consumers in Britain, Spain, Croatia, and…
so the cool thing about the density operator to me is that it’s a representation of a quantum state such that expectation values are inner products with observables.
as a formula that’s
〈 Ω 〉 = Tr(Ω ρ)
where Ω is an observable and ρ is the density operator.
But that’s an inner product… I don’t remember how you prove that actually, the way I think of it is just that when we represent these operators as matrices,
Tr(Ω ρ) = ∑ᵢⱼ Ωᵢⱼ ρⱼᵢ
Can think of that as a dot product.
Anyway… I’m really a statistician not a physicist, so what’s exciting about this to me is that it looks like linear regression. I think I could literally set up a linear regression problem on my computer… The tricky part is making sure you use the same basis for every system. But you can do that with molecules in VASP, simulate them all in the same box, so you’ll use the same plane wave basis. Evaluate some operator on all of them, and you can learn its matrix elements. They’re the regression weights on the density matrix elements.
It’s a pretty nasty regression problem because you’ll have a hundred thousand to a million plane waves in the basis, so you have to learn that many weights. Oops, it’s worse; square that, we’re learning weights on a matrix. Do you have that many simulations where you evaluated the observable? Well, maybe not, so as we statisticians call it, this is a k>n problem. Just regularize.
Except, that doesn’t work! Regularization is basically an assumption that the regression weights are small. But they’re not! Since we’re talking about a plane wave basis, consider as our observable kinetic energy. That way the plane waves are the eigenstates, and the eigenvalues are proportional to the wavenumber. So these eigenvalues just keep growing as we get to higher wavenumber plane waves.
But then how is quantum mechanics possible at all? How are we getting away with a finite basis? Well it’s telling that in VASP you specify the size of the basis through an energy cutoff. Sufficiently high wavenumber plane waves have low coefficients in the representation of the quantum state. So we can ignore them after a certain point.
That gets back gets back to what I was saying, that quantum chemistry is many-body physics of electrons at low energy. It’s like the opposite of high energy physics, like they have electron colliders, so that’s two particles colliding at high energy, and then what I’d call a small number of particles as products. In quantum chemistry we care about hundreds of electrons at low energy. It’s because we obtain these quantum states by minimizing energy that they end up smooth, and the high-wavenumber (and thus high kinetic energy) plane waves don’t contribute much.
But you see how this ruins my linear regression picture. It’s not the regression coefficients that get small, it’s the predictors.
If only I knew how to reframe this so the “smallness” was in the operator, but we could still think of it as the same operator across systems… If I knew the right way to do that, I think it would all become clear to me.
France’s Health Minister Says All Potentially Contaminated Baby Formula Has Been ‘Withdrawn’ from Market
By Editorial Team | Updated: January 23, 2026 | 20:46 GMT
Introduction
In a critical update regarding infant food safety, France’s Health Minister, Stephanie Rist, has announced that all suspected batches of infant formula have been successfully withdrawn from the market. This statement comes…

ismail jahjouh, formula, on the zero line
ID: “I used to think the sadness I felt whenever I left / was just the inevitable result of going away, of parting— / but it was also grief…” End ID

ismail jahjouh, formula, on the zero line
ID: “Its beauty has always stirred sorrow within me.” End ID
I used to bid farewell to Gaza as a traveler, on its hills and rooftops, traversing the oldest and holiest thing it holds: my memory, the image I have built of it over a lifetime.
— ismail jahjouh, formula, on the zero line