Joined September 2020
1,938 Photos and videos
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new Youtube video released! An innocent looking meme that's been floating around the internet for a few years, looking like your standard clickbait slop, but actually hides some interesting math using elliptic curves link below
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oh, a *new* proof!
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I mean, its about 5 lines and clearly nonsense, and gives a negative upper bound for a positive number... my google search was inadvertently turning up a bunch of "proofs", this was just the first I clicked on
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This divergent infinite product can be made perfectly rigorous, and also explains why you get the constant term from Stirling’s approximation. Might post on this when I have time
when you multiply all positive integers together, the result is √(2π)
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when you multiply all positive integers together, the result is √(2π)
When you multiply every number together, the result is zero.
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this is, of course, a regularized product also known as “zeta-regularized”, although I don’t like that term because there is no need to involve zeta or any other special functions to define it
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Almost Sure retweeted
new Youtube video released! An innocent looking meme that's been floating around the internet for a few years, looking like your standard clickbait slop, but actually hides some interesting math using elliptic curves link below
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Nice! one of the few songs where my old school gets a mention (school=high school, if you're American)
Jun 8
Afternoon you big headed yank bastards. We call all have a little sing song if that’s what you’re scoring points on👌🏻
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new Youtube video released! An innocent looking meme that's been floating around the internet for a few years, looking like your standard clickbait slop, but actually hides some interesting math using elliptic curves link below
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The World Cup is nearly here, and everyone’s talking about how no-one’s talking about it
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which is why games like Doom in the 90s only had textured horizontal and vertical surfaces, no slopes. So in each horizontal or vertical line of pixels you only need one division by z-distance, which can be optimised out of the loop
Jun 2
division is 20-40 CPU cycles. multiplication is 4. if you're dividing by the same constant in a loop, you're paying that tax a million times for no reason. one reciprocal. computed once. everything else is multiplication.
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You can also factor out the multiplication, but it’s the division that was the problem
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that’s one country for me Plus one I drove to, and drove back out without stopping the car, does that count?
Settle a debate I'm having. Can you count having visited a country if you never left the airport?
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In fact, given subset S of ℝ, it is possible to construct a continuous nowhere constant f: ℝ → ℝ with extrema attained at exactly the points of S if and only if S is countable. So, using (un)countability in the proof seems natural.
Proving a basic statement in real analysis using different infinities
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Looking lovely out
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to be fair, they are now cleaning up
Our teams are working hard to clean up after yesterday’s @Arsenal parade – and what a day it was! With over a million people attending, it’s a major clean-up. We’re getting through it as quickly as we can, so please bear with us while we get the borough back to its best ✨ (1/2)
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And I did have this question, glad Arsenal are paying for it
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Proving a basic statement in real analysis using different infinities
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The many-bubbles interpretation it is, I think, just many-worlds but with bubbles
Ever wondered how the world can be local in quantum theory? Here is my full explanation of the problem and its solution without complicated mathematics (links in comments):
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Bring me my Bow of burning gold: Bring me my Arrows of desire: Bring me my Spear: O clouds unfold: Bring me my Chariot of fire! I will not cease from Mental Fight, Nor shall my Sword sleep in my hand: Till we have built Jerusalem, In England’s green & pleasant Land.
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