> As they pursue the topic they start to get down into the details, although probably never learn to do it fully independently.
It's hard to claim one has mastered a subject without independent command of its fundamentals. A less charitable take on this future is that students only learn to hand-wave answers and correspondingly cannot evaluate statements beyond "sounds about right".
"The product of mathematics is clarity and understanding. Not theorems, by themselves. Is there, for example any real reason that even such famous results as Fermat's Last Theorem, or the Poincaré conjecture, really matter? Their real importance is not in their specific statements, but their role in challenging our understanding, presenting challenges that led to mathematical developments that increased our understanding."
That's the product of math from the point of view of mathematicians. But is it the point of view of those funding math?
I suggest if one looks at the history of funding for mathematics and science, the product of these efforts is not understanding, but rather power. Funding went way up after WW2 when the war demonstrated that power flows from them. Math not only contributed to the scientific weapons of the way, but was directly used in operation planning (the birth of the field of Operations Research) as well as in cryptography.
The reason this matters is that AI is also a quintessential power-oriented technology. From the point of those providing the monetary lifeblood on which modern mathematical practice depends, the current math-AI discussion presents no issue worthy of concern.
> That's the product of math from the point of view of mathematicians. But is it the point of view of those funding math?
That's AI in a nutshell: the only point of view that matters is the point of view of people with a lot of money, and we've finally developed a technology that will allow all those other points of view to be squashed and discarded. The powerful won't need to be bothered with them anymore.
For them, math is an instrument. Disagree? Fuck you, you don't matter anymore. Be excited about the future!
Particles accelerating in a cyclotron at sufficiently high energy reach relativistic speeds. You have to account for their relativistic mass increase to get the cyclotron to work. Figuring this out was a big issue in cyclotron design in the 1930s. The remedy is to strengthen the magnetic field near the outer edge of the cyclotron where particles move fastest, by adding coils there
to carry more current. I don't recall what the energy is where this becomes necessary - it is certainly needed at tens of MeV.
Plutonium was first synthesized in a cyclotron by Lawrence's group at Berkeley.
I don't know what energy they used so I don't know if they needed the extra coils, but they did know of the effect and must have considered it.
Also, U235 was separated at Oak Ridge using machines called Calutrons invented by Lawrence that might have encountered the same problem -- at least they must have considered it.
The atomic bomb certainly had a cursory dependence on special relativity. E = mc^2, you know.
Klystrons were used in WW2, and the beam current of a klystron scales as the beam voltage to the 3/2 power (due to space charge limits). Modern klystrons operate with relativistic electron beams, but I don't know if any of the WW2 ones did.
Is there any part of the theory or design or implementation of the atomic bomb that depends on E = m*c^2? Or is it: "if you could theoretically weigh the end-products, you would get a slightly smaller answer than the before-products". Seems like it would have been known that there was a lot of electrical potential energy stored in the nucleus (after the discovery of the proton).
Calculating the energy yield of a fission event is done by comparing the masses of the initial and final states. The difference is about 1/5th the mass of a nucleon.
Another situation that occurs in nuclear weapons and in reactors is the scattering of energetic photons off materials. This process is inherently relativistic when the photons have energies comparable to or greater than the rest energy of an electron. (Differential) cross section computations are necessarily relativistic.
At Los Alamos, various techniques using energetic photons and electrons were used to diagnose implosion systems in development of the plutonium bomb.
The debate on the funds of scholarship and education has been between democratic vision of "an informed citizenry" versus the technocratic vision of education for jobs and technical progress. Both of those might be "power" (Foucault said "everything is power" and if so, it tells us nothing). Thus I don't think your particular framing is useful.
For many who pursue mathematics, it is a refuge from ordinary life (or normal "power"). Within mathematics, there has historically been a tension between the "Babylonian" model of pure calculation and the "Greek" model of advancement through understanding. If current AI models subsume mathematics entirely, the Babylonian model will have "won" and the possibility of an informed citizenry will be in doubt.
There is more to math, than input (money) and output (power). Sure, there is some relation between applied sciences and how knowlegde can assist effecting world events.
But for the most part, math discovery relied more on human curiosity than on resources to "do math". Conversely, if people allocate lots of money to developing AI, that doesn't mean mathematicians have an obligation to take the money provide ROI to investors.
I mean, in real life it's a combination of both. Some money is for math as an exploration of our world that will never pay off. Some money is learning things that may pay off long after we're dead (planting trees so our great grandchildren have shade). Some money is for solving problems right now.
Getting funding can be quite difficult at times, so you'll see some portion of researchers (or mathematicians in this case) take the dollars they can get.
> That's the product of math from the point of view of mathematicians. But is it the point of view of those funding math?
Yes, and your examples are exactly examples of what the GP quote is talking about.
Of course people paying money want applications, which includes "power" in your kind of reductive framing (applications to war being only one of many types of applications, or we could redefine any gradient provided by expanded understanding as "power", in which case the choice of word just seems melodramatic).
What we've also learned over the centuries, a lot more clearly in the last few, is that seemingly pointless or applicationless understanding can very quickly become useful. This is why it's clearly worth still funding pure math.
Like a sibling comment said, at least you can be sure that updates you will download are provided by the same entity, since the repositories are signed.
The systemd suite of container tools treat containers like mini VMs and expect a full init system. They are not designed for ephemeral single-process app containers like docker containers.
"Hey can you remove MDM from this Macbook so I can install Linux?"
Is there no MDM for Linux clients? How do the big tech companies with Linux developer machines (Google, Facebook, etc) manage their inventory? Do they roll their own MDM?
IT departments can mandate tools like ninjaone and kolide, which let them run queries across the fleet of devices, and (as I understand it) basically gives them root-level remote code execution.
The corporate VPN (or equivalent) can then perform 'posture checking' requiring that the tools be installed and working before connecting to the corporate network.
Obviously, 99% of Linux users have root on their device so nothing stops them wiping it and installing something new from scratch. But then they'll fail the posture checks until the device is returned to the approved setup.
Kolide admin provides a web UI for osquery so you can query things. It allows remote osquery queries but not remote code execution. You generally pair it with CrowdStrike Falcon.
Kolide does a spot check like "is falcon sensor running" but if the user logs in, has the session token created, and then disables whatever the session token would still be valid.
Also Kolide doesn't actually count as an MDM. Has a bunch of missing features. I recently evaluated it.
It's a nudge. Like "update your OS". You could also just be logging into a machine after a few weeks away. The software tells you what you need to update before letting you in.
Shorter PCB traces because of insane timing requirements for DDR5, GDDR7, and beyond; GPUs put the memory chips as close as possible surrounding the CPU die to reduce the latency and prevent timing/signaling issues.
But even there, the fastest AI accelerator GPUs are putting memory on die, and using chiplet designs, to get the memory closer and closer to the cores.
Simply physically moving the RAM closer to compute can make communication faster.
Ideally, RAM and compute should be combined. That's kind of what our brains do. We'll probably need more mature memristor technology to achieve that one day.
Mixing user and system software is like having Photoshop and all of your games install their files directly into the Windows directory.
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