Proof:
Proof:
We have 2ˣ = ∑ₖ (x choose k) with absolute convergence for Re(x)>0, and eˣ = ∑ₖ xᵏ/k! unconditionally. This is not quite generating functions, but feels similar, and seems to say...
We have 2ˣ = ∑ₖ (x choose k) with absolute convergence for Re(x)>0, and eˣ = ∑ₖ xᵏ/k! unconditionally. This is not quite generating functions, but feels similar, and seems to say...
+,
and x || y = 1/(1/x + 1/y).
What is this? Each binary operation is independently an abelian group plus an absorbing element. But I don’t see any obvious identities involving both operations.
+,
and x || y = 1/(1/x + 1/y).
What is this? Each binary operation is independently an abelian group plus an absorbing element. But I don’t see any obvious identities involving both operations.
Goal race: Eugene Marathon, April 26
Day 1: Kicked things off with a 13-mile long run along the riverfront. Pace wasn’t great but happy to be moving consistently in zone 2. strava.app.link/FTrhfSs9GZb
Goal race: Eugene Marathon, April 26
Day 1: Kicked things off with a 13-mile long run along the riverfront. Pace wasn’t great but happy to be moving consistently in zone 2. strava.app.link/FTrhfSs9GZb
Now whether this monoid exists 'in nature'....
Now whether this monoid exists 'in nature'....
🦀👉 incarcinate
🦀👉 incarcinate
1/2
1/2
It is both the only moral choice and will actually get the attention of these dead-eyed clout demons.