Almost Sure
@Almost_Sure • 8,918 subscribers
George Lowther, Author of Almost Sure blog, on maths, probability and stochastic calculus. Also on YouTube https://t.co/VyOijwbe9l
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Animating the solution to this surprisingly interesting fruity math problem:
Almost Sure87,534 Aufrufe • vor 1 Monat
What software do math YouTubers use to do the fancy math animations?
Almost Sure274,162 Aufrufe • vor 2 Jahren
stylistic question. In YouTube, color coding terms in math formulas. Yes, or no?
Almost Sure43,677 Aufrufe • vor 3 Monaten
![Let X = exp(A²/2) and Y=exp(B²/2) where A,B are joint normal with mean 0, variance 1, and correlation ρ (between 0 and 1). Then, E[X|Y] = Y/ρ > Y E[Y|X] = X/ρ > X So X is greater than Y 'on average', and Y is greater than X on average. Here's a proof of that](https://image.24vids.com/tw-1969679527325438382/amplify_video_thumb/1969678666427723776/img/FKRxZ9x0Fr9RclVV.jpg)
Let X = exp(A²/2) and Y=exp(B²/2) where A,B are joint normal with mean 0, variance 1, and correlation ρ (between 0 and 1). Then, E[X|Y] = Y/ρ > Y E[Y|X] = X/ρ > X So X is greater than Y 'on average', and Y is greater than X on average. Here's a proof of that
Almost Sure31,334 Aufrufe • vor 8 Monaten
Here's a smooth plot of zᶻ as z rotates 4 times round the unit circle at unit speed
Almost Sure26,283 Aufrufe • vor 1 Jahr
A paradox of conditional expectations applied to the Ornstein-Uhlenbeck process
Almost Sure14,994 Aufrufe • vor 8 Monaten
From the Riemann zeta function to Xi and the functional equation
Almost Sure13,025 Aufrufe • vor 7 Monaten
2025 as a sum of cubes: Nicomachus's theorem, an animated proof
Almost Sure12,908 Aufrufe • vor 1 Jahr
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