You are, in fact, wrong -- quantum computers aren't as powerful as you think they are.
The problem is that for what you describe as "root finding" a naive quantum computer only gets a quadratic speedup. Your 256^1000 possibilities still take on the order of 256^500 steps to search.
With that said, if you can build a computer around a closed timelike curve ("time travel") it would be powerful enough to do what you want. The idea here is that the computation starts off by receiving a value from the future, call it N, which it should test out to see if it is a solution. If N is the solution it reports back N at the end, otherwise it reports N+1.
There's a large gap between the economy not being zero sum and an infinite pie.
In the actual story. You might know it as the thing nobody reads before posting comments.
while the extra centripetal acceleration draws blood out closer to my fingertips.
I think you mean "centrifugal force". Note that a centripetal acceleration/force would be pulling your blood back inwards from your fingertips; you're looking for the equal and opposite force that is pulling the blood away.
Physics teachers who say that there is no such thing as centrifugal force are lying; it is every bit as real as gravity. It is a white lie, with the point of avoiding accelerating non-inertial reference frames. Such physics classes will show that centrifugal force is entirely explained by inertia in a reference frame undergoing centripetal acceleration. That's great.
Here's the problem: those same classes will regularly describe gravity as a force. The thing is, once you study general relativity you realize that gravity (and in particular the 9.8 m/s^2 acceleration you feel downward) has exactly the same explanation; space-time is curved by the mass of the Earth such that the surface of the Earth needs to accelerate upwards at 9.8 m/s^2 in order to remain "in place".
In other words, centrifugal force is entirely as real as gravity. If it is centrifugal force that makes your blood move out, don't be afraid to say it.
Putting money in every paycheck is great and exactly the way to go, but isn't "dollar cost averaging". Dollar cost averaging is something else and entirely bogus.
Suppose you get $120K. DCA advocates would tell you to invest, say, $10K of it every month into your preferred asset allocation, rather than investing it all at once.
On the other hand, suppose your cat walks over your keyboard while you're logged into your brokerage and sells $120K of stock. Do you invest it $10K at a time or do you just reverse your transaction immediately? Hopefully it is obvious that you do the latter -- but this scenario is exactly equivalent to the first one.
Just because something is done by 9th graders doesn't necessarily mean its flawed
The study isn't flawed because it was done by 9th graders. The study is flawed because it didn't control for a bunch of obvious things which would explain their result.
You must be new here.
The starting salary for a new college grad software engineer at the big tech companies in the SF Bay area is well over $70K.
There are a number of fringe arguments that the sixteenth amendment, allowing an income tax, wasn't properly ratified.
If you're going to do a comparison like this you really need to count just the 23 special wards (14,485 per square kilometer). Tokyo the prefecture-equivalent "metropolis" includes a lot of areas which are essentially suburban sprawl west of Tokyo -- the Tama area. I don't think anyone would really consider, for example, Hachioji to be part of Tokyo the city, but it is a substantial fraction of Tokyo metropolis -- and if you're coming up with a number as low as 6,810 you're including it.
This is complicated by the fact there is no longer a government for Tokyo City, which is what used to be the 23 wards. The wards themselves are cities, somewhat comparable to a more independent and smaller form of NYC Boroughs. Conversely, Tokyo metropolis would be something like a separate State of New York City which includes both the Boroughs and Long Island and a couple of small islands in the Caribbean.
With that said, there's no ward of Tokyo which is as dense as Manhattan. mostly because there aren't a lot of tall buildings. The technology to build earthquake resistant skyscrapers is relatively new compared to a lot of the construction.
You don't need to itemize to deduct student loan interest -- and conversely, the amount of student loan interest you deduct doesn't affect whether you'd itemize or not.
This is a standard strategy, which I've seen referred to as "turboing", which is particularly effective when standard channels fail. The key point is that, really, you're not trying to speak to senior management, you're trying to speak to the PA of someone in senior management.
A bug in your script is far more likely than a collision between two files in full 128 bit md5, barring a deliberate attack on md5 to create the collision.
Real Users hate Real Programmers.