Still not enough, or at least pi is not known to have this property. You need the number to be “normal” (or a slightly weaker property) which turns out to be hard to prove about most numbers.
Still not enough, or at least pi is not known to have this property. You need the number to be “normal” (or a slightly weaker property) which turns out to be hard to prove about most numbers.
Yes, with Iosevka font
Stokes’ theorem. Almost the same thing as the high school one. It generalizes the fundamental theorem of calculus to arbitrary smooth manifolds. In the case that M is the interval [a, x] and ω is the differential 1-form f(t)dt on M, one has dω = f’(t)dt and ∂M is the oriented tuple {+x, -a}. Integrating f(t)dt over a finite set of oriented points is the same as evaluating at each point and summing, with negatively-oriented points getting a negative sign. Then Stokes’ theorem as written says that f(x) - f(a) = integral from a to x of f’(t) dt.
Should be a lot easier for modern parents who can easily use online resources to learn
There’s a search field on the front page. The rest is blank because I used the (default) “exact match” option, so the rest of the page is (by random chance) filled with spaces. The search function presumably uses knowledge about the algorithm used to generate the pages to locate a given string in a reasonable amount of time, rather than naively looking through each page.
This already exists. https://libraryofbabel.info/
Your comment appears in page 241 of Volume 3, Shelf 4, Wall 4 of Hexagon: 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
I’m not suggesting that. It just looks like he did in fact choose to have that hair color.
It looks dyed
It’s extremely easy to tell the difference. I can’t tell you what’s wrong with their experiment as I don’t know exactly what they did, but they clearly fucked it. If you’re looking at a static image, you can’t differentiate 240Hz from 30Hz. You need a test that actually demonstrates the difference.
It’s a perfect stick, it cannot break, look at it
I’ll take the stick and use it to make you give me the rock.
Usually, caching. They can and do use less RAM if you have less free, at the cost of slower performance.
Geometry is a bit tricky. A lot of “obvious” facts about geometry are less obvious to prove from a given collection of axioms forming a model of geometry, because their “obviousness” stems from our natural facilities for understanding space and position. Sometimes, historically, things that are “obviously” true in geometry turn out to be false, or depend on unwritten assumptions, for complex reasons. It may be surprising in this light if current AI can beat humans’ intuition plus logic using purely analytic tools.
Using standard definitions from propositional logic they are equivalent.
Ok. Then stop watching instead of complaining. I don’t watch ads either.
It’s not that they couldn’t burn billions of dollars for the betterment of society. It’s that obviously they won’t. If YouTube weren’t supposed to be profitable it wouldn’t exist.
I simply disagree.
I don’t care
Stats if YouTube show not just a small sustainable gain, but we are taking 4-5x their income from 10 years ago. https://mobilemarketingreads.com/youtube-revenue-and-usage-statistics-2020/
It doesn’t matter
What they’re doing with ads is annoying as shit and their right to do as it’s their business to run. It’s my right to run my browsers how I want. Also my right to filter traffic in and out of my network.
I don’t care
YouTube is only one section of an entire corporation.
It’s a corporation, not a charity. They don’t spend tens of billions per year out of good will.
Ads were fine, the ads now are not fine.
Ads were not making enough money to justify continued operation.
They were successful when they were less intrusive, why do they need to do things this way and break up the videos when they have grown an empire on what was previously done?
Because “what was previously done” is not sustainable.
Java is a fine choice. Much prefer it over pseudocode.