Algebras have two operations by definition and the one thing they have in common is that the multiplication distributes over addition.
Yes, there is no notion of inverses without an identity, the definition of an inverse is in terms of an identity.
Stop posting.
As long as we can put an upper bound on gayness (or more specifically on each totally ordered subset of people under the is-gayer-than relation) this follows from Zorn's lemma.
It's also true by virtue of the fact that the set of all people who will have ever lived is finite, but "the existence of a maximal element in a poset" just screams Zorn's lemma.
Distributivity is a requirement for non associative algebras. So whatever structure is left is not one of those
1 = Ω0 = Ω(Ω + Ω) = ΩΩ + ΩΩ = Ω + Ω = 0
so distributivity is out or else 1 = 0
Well now we have to find you good Miku songs just in case you are trans.
It's a Windows Subsystem that is responsible For (Running) Linux. Yes, everyone thinks it should have been called Linux Subsystem for Windows.
I thought at first the point was that murders had gone down because they were suddenly technically legal. The inverted scale thing is worse
The GPT architecture is well understood, the part that is hard to explain is the way information is encoded in the trained model's parameters. It's not magic, it's just a highly opaque encoding.
If "AI art is kinda bad" is part of the argument against AI art, it will only be used against us when AI art isn't that bad anymore.
If the host were to pick a door randomly, there would be 6 equally likely possibilities.
First, you pick either Goat 1, Goat 2, or Car. In the first case (1/3 chance), the host picks either Goat 2 or Car. In the second (1/3 chance), the host picks either Goat 1 or Car. In the last (1/3 chance), the host picks either Goat 1 or Goat 2.
Out of these 6 possibilities, two of them result in the host revealing a car, which would end the game early. Eliminating those two possibilities, so the host always reveals a goat, leaves 4 possibilities. This is the "new information" that is used by the host.
In the first case (1/3 chance), switching gives you the car. In the second case (1/3 chance), switching gives you the car. In the last case (1/3 chance), switching gives you a goat.
I understand those are food words but I'm incapable of picturing those things in combination as a food item