I wouldn't call the fact that pi is irrational an insight of "early mathematics." We knew that sqrt(2) was irrational around 500 BC if not earlier. We didn't know pi was irrational until around the time of the American…
Multiplication of real and complex numbers is typically defined by starting from repeated addition, extending this notion to rationals, and then extending that notion to reals by taking limits. How exactly are you going…
This statement is correct, but doesn't address the problem with the OP's calculation. This fund is up basically entirely on the strength of TSLA being up 700%. OP is basically considering two possibilities: 1. TSLA…
They may not have "a mental model of statically typed languages," but they sure "agonize" when there are eight different incompatible datatypes that represent a datetime and the library functions they want to use don't…
That's not necessarily the case in general. If you had an algorithm which, given a billion dollars' worth of specialized lattice reduction ASICs, could break 2048-bit RSA in a few months' time, then for all practical…
From the article: "Its long/short equity fund gained an astounding 274 percent, thanks in large part to a 700 percent surge in the price of Tesla’s stock, which accounted for 37 percent of Worm’s publicly traded…
"He took big, and early, stakes in both Amazon and Tesla — in 2012 and 2016, respectively." Amazon was founded in 1994 and had its IPO in 1997 during the first dot com boom. Did they do any research for this article at…
One subject that's pretty useful for programmers to understand reasonably well is numerical analysis, even if it's at a fairly basic level. It's amazing how quickly you run into problems in practice as soon as you try…
I think in a lot of cases this is sort of like asking "how can I use an abstract factory to improve my COBOL code?" Like, if your code isn't already written in terms of classes, you probably can't just jump in and use…
This is why affine schemes as a thing never really took off until Grothendieck, despite Noether and Krull noting some of their interesting properties decades before. If you're just using affine schemes you don't get…
To be fair that's just vanilla English orthography.
I wouldn't call the fact that pi is irrational an insight of "early mathematics." We knew that sqrt(2) was irrational around 500 BC if not earlier. We didn't know pi was irrational until around the time of the American…
Multiplication of real and complex numbers is typically defined by starting from repeated addition, extending this notion to rationals, and then extending that notion to reals by taking limits. How exactly are you going…
This statement is correct, but doesn't address the problem with the OP's calculation. This fund is up basically entirely on the strength of TSLA being up 700%. OP is basically considering two possibilities: 1. TSLA…
They may not have "a mental model of statically typed languages," but they sure "agonize" when there are eight different incompatible datatypes that represent a datetime and the library functions they want to use don't…
That's not necessarily the case in general. If you had an algorithm which, given a billion dollars' worth of specialized lattice reduction ASICs, could break 2048-bit RSA in a few months' time, then for all practical…
From the article: "Its long/short equity fund gained an astounding 274 percent, thanks in large part to a 700 percent surge in the price of Tesla’s stock, which accounted for 37 percent of Worm’s publicly traded…
"He took big, and early, stakes in both Amazon and Tesla — in 2012 and 2016, respectively." Amazon was founded in 1994 and had its IPO in 1997 during the first dot com boom. Did they do any research for this article at…
One subject that's pretty useful for programmers to understand reasonably well is numerical analysis, even if it's at a fairly basic level. It's amazing how quickly you run into problems in practice as soon as you try…
I think in a lot of cases this is sort of like asking "how can I use an abstract factory to improve my COBOL code?" Like, if your code isn't already written in terms of classes, you probably can't just jump in and use…
This is why affine schemes as a thing never really took off until Grothendieck, despite Noether and Krull noting some of their interesting properties decades before. If you're just using affine schemes you don't get…
To be fair that's just vanilla English orthography.