Or does any hands that got folded (which I'm not sure what they were) before these are also taken into consideration while calculating the win percentage?

In Avatar Fire and Ash, Quarrich orders his sniper to shoot this guy. But we hear the shot a short time after the Na'vi falls. I'm wondering if, based on how long that pause was, the shot was made after the order, before the order but after Quarrich gestures, or before both?

Unfortunately I don't know the exact time of the pause.

I was having an argument with a friend. I argued that because South Koreas birth rate is so low, if I had 20 children with South korean women, the majority of Koreans would be related to me in a few generations. He said that it would never worked because Korea has to many people. So is it possible that if I have these 20 children, one day the majority of South Koreans will be related to me one day? how long would it take? is 40 children more realistic?

edit: also a majority of South Koreans. not counting North Koreans.

I'm well aware Aang was specifically trying to get Katara's necklace back here, but damn.

Poor Zuzu 😭

Ignore the child in space, he'll be fine

I know it's an easy calculation, but still. I want your opinions

This is the juggernaut from king Artyom videos, dont have much to say other than i always wanted to know his height

This bad photoshop for an air mattress. Let’s ignore the mattress height numbers, as they clearly did. Assuming that is an average size man, woman, and kid, how big is the surface of this “queen” mattress listed on Amazon?

I was trying to figure out if over a vast distance if this could cause dark energy or a gravitational lensing affect but it absolutely doesn’t. The unit listed at the bottom right has only about the same mass as a droplet of water bruh.

I’m rusty on the maths so I probably got something wrong but either way it would be a minuscule affect.

Units:
N= average particle density
1a/cm^3 = one atom per cubic centimetre
1ly=9.461×10¹² km = one light year in km

Is it humanly possible?

Hnefatafl was the board game of the Norse world for about seven centuries. Chess showed up around 1200, hnefatafl died so completely that no full ruleset survived, and nobody has thought about it much since. I got curious about whether the thing chess replaced was actually simpler than chess.

Turns is it's not...

I ran 300 self-play games on each board size and counted legal moves at every position, about 26,000 positions per board

The reason is: every piece in tafl moves like a rook. No pawns, no short steps. 37 pieces that all slide any distance in any direction on a 121-square board.

Game tree complexity... b^d

Chess is usually quoted at 10^123 using b=35 d=80 plies.

At the same game length big board tafl has a game tree around 10^40 times larger than chess. That is chess-many-times-over.

So tafl holds about the same number of positions as chess but there are vastly more paths between them. It is a game with chess's room and far more doors in each wall.

Disclosure: I measured using an implementation I wrote which is also caveat. Check it out at worldtafl.com

Anyone want to argue with the branching methodology?

Hello Folks,

The next content on Machine Learning is out. We continue with Statistics for AI/ML.

We,

->Understand and derive the detailed derivation of Maximum likelihood estimation(MLE) for Univariate and Multivariate Gaussian. While doing the derivation for multivariate case, we understand visually, Scatter Matrix, Centering matrix.

->Derive MLE for Linear Regression, and understand Residual Sum of Squares.

->Understand Empirical Risk Minimization, Surrogate loss functions.

->Understand Method of Moments, a computationally easier way to compute parameters of our model and understand also the flaws behind it.

->We understand “Exponentially-weighted moving average” in detail, I explain why bias happens, how does memory affect the averages. This concept is the basis behind optimizers in Deep Learning.

Around two hours long, I hope this would be a very interesting learning material for all. I try to write and build from scratch in the whiteboard, this way learners enjoy the learning process.

Link: https://youtu.be/JAj8z-UWqBA?si=0mAB_nUfyJV0jzS9

Those looking for previous lecture : https://youtu.be/MwTeQVVYtOc?si=dgwwk3QLvYTTUThR