Of course, keeping in mind that Cook-era Apple is operating on a more massive scale (product shipped, wider distribution, more product lines).
695 karma · joined September 13, 2013
Of course, keeping in mind that Cook-era Apple is operating on a more massive scale (product shipped, wider distribution, more product lines).
https://en.wikipedia.org/wiki/File:Comparison_satellite_navi...
Previously submitted by another HN'er (in 2016):
Roughly speaking, a central authority might work in certain scenarios, for a short time, to prevent situations where market participants might otherwise panic.
In the long run, the problem is the same authority does not have to all "local", decision-making information available to the individual market participants, and that might prevent the economy from reaching an optimal configuration.
David St. Hubbins: What?
Ian: Yeah. I wouldn't worry about it though, it's not a big college town.
- This Is Spinal Tap
[0] https://www.youtube.com/watch?v=XRr1kaXKBsU&t=504 (Veritasium on Youtube: Why Gravity is NOT a Force @ 8:24)
The article may come off a little bit too harsh on Gates, but it is essentially right in that the US Gov strategy may have been to score a PR win on Gates and Microsoft. In that way, Gates came across as more on the defence than he perhaps needed to be in the situation. The deposition ended up being a low point from the public's perspective, though any damage has mostly been undone in the 2+ decades since.
Perhaps it was a less competitive industry at the time, but certainly less efficient (and relatively more expensive) production tools were available compared to today.
I should add: As a human being, it is probably impossible to separate the scientist from the philosophy in which they explore, proceed with, and promote their work. In some cases, it might not be something they are even aware of. Instead, the scientific system (as a sort of world institution) should itself be designed to always seek out and protect truth, regardless of prevailing contemporary knowledge.
Once more people accept the concepts of modern physics as a way of life (perhaps intuitively?), we will be in fertile territory for any potential new revolution in physics.
To be a fly on the wall during that discussion. I'm sure money wasn't an issue for the Air Force, or that Sony had some balls of steel.
- for the set of matrices that possess them ("transformation matrices that only perform stretch/contract"), eigenvectors (with their associated eigenvalues) play a role quite analogous to the role primes play in the integer set. They provide a unique, identifying "spectrum" for said matrix. This is made explicit by eigendecomposition (spectral decomposition).
- with extension via singular value decomposition (SVD method) to any square matrix (e.g. "transformation matrices that might also shear, rotate"), certain operations such as exponentiation of the square matrix can performed very quickly once eigenvectors/eigenvalues have been obtained via the SVD method.
Fair point, though with no intention of being too literal, might this qualify as the difference between "Introduction to X" vs. "X"?
In case anyone else is interested: measure-theoretic probability theory "unifies the discrete and the continuous cases, and makes the difference a question of which measure is used. Furthermore, it covers distributions that are neither discrete nor continuous nor mixtures of the two." [0]
[0] https://en.wikipedia.org/wiki/Probability_theory#Measure-the...
A sort of incomplete answer would be that the article is covering an important historical fact regarding the sixth-largest miltary in the world (by active personnel). [0]
[0] https://www.newsweek.com/how-strong-pakistans-military-12350...
Currently at a much greater cost in time and space, which is why they are saying "can be performed" not "has been performed".
> we expect that with additional refinements the classical cost of the simulation can be further reduced
Any such refinements would be certainly interesting to see, as they would probably be very hard won.
Its contents have had continued relevance as computer scientists study the properties and capabilities of non-deterministic computers.
> That's commonly said about the Apple-NeXT acquisition too — NeXT paid a negative $429 million to take over Apple. (...)
I guess that is why it is considered a joke. It sounds like the management teams of NeXT / McDonnell Douglas benefited much more (in the long term) than the investors of their defunct, purchased companies. Benefiting through greater compensation and clout without really taking over (i.e. owning) the purchasor's company.
Not a lot of people directly own & operate their own airplane, let alone a nuclear reactor, and yet both have had a significant impact on modern life. As for this experiment & QC, only time will tell of course.
In a way, it is the fuzzy wiring that underlies most other disciplines, that you need to poke around in when you run into longstanding, or seemingly intractable problems in what you're trying to do above. See for example: https://news.ycombinator.com/item?id=20905801
In particular, zero is the additive identity [0] in almost all the "usual" number systems in which it appears. That is roughly speaking, it is the only A such that X + A = X, for all X, where X and A are elements of the number system (e.g. field of real/complex numbers).
Reading this makes me think a very little bit of the Paris Commune [0], well in its early days perhaps.
infamously is what you mean, particularly considering "screwed (over)" is very much an understatement in regards to the sombre culmination of that legal case. [0]
0,1,1,2,3,5,8,13,21,34,55,89,...
This gets to to crux of the issue the author (and others in contemporary physics, Hawking included for that matter) was raising. We can conjecture, via theoretical physics, a whole slew of possible models of the universe that combine general relativity and quantum mechanics. But, there is a lack of experimental evidence (or interpretation of existing results) to resolve the ongoing "debates". And there hasn't been any real progress, in that respect, in the past 80 years.
We need to test the edge cases of both theories as best we know how. For example, tunnel to the center of the earth (or another planet?) and verify our existing models in the gravity well, maybe repeat the double-slit experiment remotely while we're there. I'd say a task much more difficult, engineering-wise, then flying a human being to another planet and back.