I guess DOD is large enough they have multiple parallel cabinet level positions
1,761 karma · joined February 5, 2015
My research interests include applied machine learning for quantifying materials substructure, which we call microstructure.
I guess DOD is large enough they have multiple parallel cabinet level positions
In an atom, angular wavefunctions with wavelengths non-integer divisions of 2pi can’t exist because of the boundary conditions on the wave equation. A free electron can have any wavelength, but once you put it in a box (confine it to the potential around a proton in a Hydrogen atom) the non-integer wavelengths aren’t allowed
I think it’s instructive to think about what the wavefunction represents. It’s square is the electron probability density (technically the wavefunction is complex valued so it’s the wavefunction times it’s complex conjugate). If you have a non-integer multiple wavelength then the wavefunction goes out of phase with its complex conjugate after one period, and if you integrate over the angular domain the electron probability has to be zero everywhere.
This also answers your second question. The radial solution to the wave equation for hydrogen gives you the Laguerre polynomials. They don’t all go to zero at the nucleus though, actually the first one has a maximum at zero because it scales like exp(-r) (See fig 4.10.2 on chem.libretexts linked below). But when you do a volume integral to calculate the electron probability, the probability near the nucleus is low because the integration volume is small even though the wavefunction is large
https://en.wikipedia.org/wiki/Laguerre_polynomials
https://chem.libretexts.org/Courses/University_of_California...
What’s interesting is if the environment is not spherically symmetric (consider an electron in a molecule) the solutions to the wave equation (the electronic wave functions) are no longer spherical harmonics, even though we like to approximate them with combinations of spherical harmonic basis functions centered on each nucleus. It’s kind of like standing waves on a circular drum head (hydrogen atom) vs standing waves on an irregular shaped drum head
Of course the nucleus also has a wave nature and in reality this interacts with the electrons, but in chemistry and materials we mostly ignore this and approximate the nucleus like a static point charge from the elctrons perspective because the electrons are so much lighter and faster
Personally I think this resource mismatch can help drive creative choice of research problems that don’t require massive resources. To misquote Feynman, there’s plenty of room at the bottom
My usual workflow is find the person on google scholar, find their uni/lab homepage, and hope they published their email there.
How many Taiwanese, German, Indian, French, South Korean, etc scientists are working in the US? The ones working at NIST are facing being pushed out at the end of September.
I can understand a clearly communicated need for additional security requirements. But NIST operates almost totally in open science mode, with the main exceptions of being industry cooperative agreements. I don’t think this move to shed international researchers by reneging on commitments from the lab has been at all justified from a security standpoint.
Power consumption and emissions are already increasing, and any regulatory changes in 2025 are not factored in to discussion of those numbers. It’s more interesting to discuss what these changes mean when they are a factor in 2026 and on.
I think a lot of the issues are the same. Like you might expect the model to go off the rails if you venture away from the bulk of the training distribution. Or maybe the b most effective way to use it creatively is in some kind of interactive workflow revising specific chunks of the project instead of vibe-coding/composing from whole cloth.
This is in a conventional HPC environment, and I’ve found it way better than conda since the dependency solves are so much faster and I no longer experience PyTorch silently getting downgraded to cpu version of I install a new library. Maybe I’ve been using conda poorly though?
By all means we should discuss the transparency of this process, what those national priorities are, and exactly what we (collectively as taxpayers) the risk-reward tradeoff should be. But let’s not pretend that the funding agencies don’t already view science as a public investment, or be too hasty about dismissing the potential medium term economic value of research into for example geology and geochemistry on mars
The disconnect here is that the cost of iteration is low and it’s relatively easy to verify the quality of a generated C program (does the compiler issue warnings or errors? Does it pass a test suite?) or a recipe (basic experience is probably enough to tell if an ingredient sends out of place or proportions are wildly off)
In science, verifying a prediction is often super difficult and/or expensive because at prediction time we’re trying to shortcut around an expensive or intractable measurement or simulation. Unreliable models can really change the tradeoff point of whether AI accelerates science or just massively inflated the burn rate
They have some interesting analysis of the elastic deformation that happens during the rolling process (as opposed to the ball just falling or sliding). Turns out it’s pretty sensitive to the elastic constant of both the ball and the wall
The bitter lesson isn’t fundamentally even about data. the key ingredient is computation (which does scale with data in modern deep learning). There’s even a whole theme on search outperforming learning - until learning methods changed to leverage computation!
I think in a lot of applications, richer data yields better scaling performance. So the bet for self driving is that the complexity of multiple sensor fusion gives a much better constant factor or exponent in the power law scaling of performance with data and compute
PDF: https://storage.courtlistener.com/recap/gov.uscourts.lawd.21...
Alternatives include arranging legal custody for the child and to stay in the US with a relative (as one family was attempting), or finding a legal way for them to leave the country with their parents.
Instead, it seems the government is rushing to illegally remove these children before the courts can intervene