More commonly known as a map or dictionary.
The orthogonal group is the group of all matrices that preserve the dot product Updated 2025-04-05 +Created 1970-01-01
When viewed as matrices, it is the group of all matrices that preserve the dot product, i.e.:This implies that it also preserves important geometric notions such as norm (intuitively: distance between two points) and angles.
This is perhaps the best "default definition".
This is hot shit, a possible worst case but sure to get there scenario to understand the brain!
Bought: 2022.
To remove pedals when they get stiff.
The orthogonal group is the group of all invertible matrices where the inverse is equal to the transpose Updated 2025-04-05 +Created 1970-01-01
Let's show that this definition is equivalent to the orthogonal group is the group of all matrices that preserve the dot product.
Note that:and for that to be true for all possible and then we must have:i.e. the matrix inverse is equal to the transpose.
These matricese are called the orthogonal matrices.
TODO is there any more intuitive way to think about this?
This is the order in which you would want to transverse to read the chapters of a book.
Like breadth-first search, this also has the property of visiting parents before any children.
Has the property of visiting all descendants before the parent.
Ciro Santilli likes to learn astronomy a bit like he learns geography: go down some lists of "stuff that seems most relevant in some criteria to us!", possibly at different size scales e.g.:
Most important things to know:
- kill window: Ctrl + A K
Google 2FA app token can be updated without checking the old 2FA Updated 2025-04-05 +Created 1970-01-01
Ermm, as of February 2021, I was able to update my 2FA app token with the password alone, it did not ask for the old 2FA.
So what's the fucking point of 2FA then? An attacker with my password would be able to login by doing that!
Is it that Google trusts that particular action because I used the same phone/known IP or something like that?
What is backpropagation really doing? by 3Blue1Brown (2017)
Source. Good hand-wave intuition, but does not describe the exact algorithm.This is a list of video games that are good to watch other people playing, even if you don't play yourself. And often they are better to watch than to play as you don't have to waste your time as much!
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