Almost Sure
@Almost_Sure • 8,927 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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Videos
Animating the solution to this surprisingly interesting fruity math problem:
Almost Sure88,444 görüntüleme • 3 ay önce
What software do math YouTubers use to do the fancy math animations?
Almost Sure274,318 görüntüleme • 2 yıl önce
stylistic question. In YouTube, color coding terms in math formulas. Yes, or no?
Almost Sure43,711 görüntüleme • 4 ay önce
![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 görüntüleme • 10 ay önce
A paradox of conditional expectations applied to the Ornstein-Uhlenbeck process
Almost Sure14,994 görüntüleme • 10 ay önce
From the Riemann zeta function to Xi and the functional equation
Almost Sure13,201 görüntüleme • 9 ay önce
2025 as a sum of cubes: Nicomachus's theorem, an animated proof
Almost Sure12,908 görüntüleme • 1 yıl önce
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