25 karma · joined July 22, 2024
In other words, your algorithm is asymptotically too fast and you failed the interview! :D
I'm simply stating a fact about DARPA and how their mission and operations fit within the US government.
Look, if you want to characterize DARPA research as IC work, go ahead. You clearly don't work in the space.
For example, Mark Zuckerberg has a lot of money. So much that he can buy a mega-yacht and it not really affect him financially. But, he could buy lots of things that don't affect him financially, and he chooses not to do so.
I always assumed that acquiring a massively valued asset like a yacht that's assumed to appreciate was part of this "buy, borrow, die" strategy.
If you follow the proof closely (it's very subtle) you can see that despite every candidate ranking A over candidate C, the actual preferential outcome will have candidate C ranked higher than candidate A (and this is entirely dependent on the dictator's choice).
In other words, there's a counterexample where every single voter decides to rank A > C, and yet the dictator alters the outcome so that C > A. This is different from a swing voter that pushes one candidate over the top in a very close race.
Still, my guess is that these types of edge cases could be handled by using some randomness and low probability arguments. For example, claiming that such dictators exist with negligible probability given a small-ish fraction of voters that are considered "random."
While you would never want to inject random votes into an election, it's probably reasonable to assume that some fraction of voters behave naturally random (e.g., people get sick and don't vote, or are just politically fickle). This probably conflicts with the property of "unrestricted domain" but it seems like a reasonable concession in practice.
Some constructive criticism: it's better to just admit when you made a false statement than to double down on being wrong.
A 32-bit float is represented as:
- 1 bit = sign bit
- 8 bits = exponent; represents a signed value in [-128, 127]. Note that an exponent value 127 is special and reserved for infinity.
- 23 bits = mantissa
Numbers >= 1.0 ==> (sign = 1, 0 <= exponent <= 126, mantissa >=0). That's (2^23 * 127) + 1 (to include infinity). This comes out to exactly 1,065,353,217 for numbers in the range [1.0, +inf].
Numbers < 1.0 and > 0 ==> (sign = 1, exponent < 0, mantissa >= 0). That is 2^23 * 128 = 2^30. This comes out to exactly 1,073,741,824 for numbers in the range (0.0, 1.0).
The point I was making is that most heirs might not fully understand tax implications, inflation, and that increases in nominal wealth != increases in real wealth. This all leads to generational wealth dying out, as well as for reasons mentioned by others in the thread.
Bottom line: assume a 1% real profit y.o.y. on your home, then factor in closing costs (8%), and. then cap. gains on the profit. You didn't make as much as you think.
With respect to education around money systems, I am referring more to (a) knowing that investing is necessary but insufficient and (b) understanding the main drivers (besides spending) of wealth loss: inflation and taxation.
It's hard (even for successful, intelligent people) to wrap their head around the fact that their $1m house that ballooned up to $2m over the last 25 years has in fact, lost value.
This means that heirs of wealthy families are receiving portions of their inheritance often in their late 20s/early 30s.
Inflation is necessary, and a low, predictable inflation rate is good for the economy. But it's still a wealth tax of the worst kind -- it's essentially a flat tax on everyone regardless of their level of wealth.
Remember, a government with $35T in debt can't possibly raise that much money from taxes; 3 out of every 4 dollars we pay in income taxes already goes to interest payments on that debt alone. The government will instead inflate the debt away by paying it back with future dollars that are worth less.
Many high net worth individuals are aware of this fact, but blindly giving heirs millions of dollars and not educating them about the money system will inevitably lead to poor outcomes.
If a child inherits $1 million from their parents (after taxes), they may feel rich, and they may try really hard to hold onto that money by saving and buying appreciating assets. In 10 years time that money might grow to $2 million. However, the buying power of $2 million is approximately equal to $1.5 million (3% inflation over 10 years). Couple that with a 20% tax on capital gains, and their real wealth increased by only 300K over 10 years after inflation. So while their nominal wealth seems to have doubled, their real wealth was only increasing by a modest 30K per year.
And this is all assuming that the person isn't spending any of that money. A different person might spend + invest and still have $1 million in their bank 10 years later... But this isn't the same $1 million they had 10 years ago --- adjusted for inflation they are 250K more poor
what about loadable kernel modules?