If f and g are automorphisms of a partial order L, and a ≤ f(b) and b ≤ g(a) ... then is there an automorphism sending a to b?
(I know the answer but am curious what arguments/examples others may have. Caution: it's too hard for ChatGPT!)
@kjoshanssen.bsky.social
Math professor
If f and g are automorphisms of a partial order L, and a ≤ f(b) and b ≤ g(a) ... then is there an automorphism sending a to b?
(I know the answer but am curious what arguments/examples others may have. Caution: it's too hard for ChatGPT!)
I've always heard it referred to as simply "product".
09.02.2025 21:04 — 👍 0 🔁 0 💬 1 📌 0If you don't know me, I'm 9, where m=3 and b=2
10.12.2024 05:27 — 👍 0 🔁 0 💬 0 📌 0Ask not what this is --- ask "what is this knot?"
30.11.2024 18:51 — 👍 0 🔁 0 💬 0 📌 0An "attractive" red cube in the middle of this polymer.
29.11.2024 23:30 — 👍 1 🔁 0 💬 0 📌 0An example of the nonmonotonicity of optimal protein folding in the hydrophobic-polar model!
29.11.2024 00:36 — 👍 1 🔁 0 💬 0 📌 0Here's an example of my online game Labbyfold. Fold proteins into their optimal configuration! math.hawaii.edu/~bjoern/?she...
25.11.2024 23:45 — 👍 0 🔁 0 💬 0 📌 0Picture... or it didn't happen? 🙂
09.11.2024 07:35 — 👍 0 🔁 0 💬 1 📌 0I forget the proper terminology! But the DFA is shown below. The alphabet is {0,1}. Reading 000 you go in a 3-cycle from q₀ to q₀. Given this you can fill in all edge labels. The big diagram above indicates that states (q₀,q₁,q₂) go to (q₁,q₂,q₀) when reading a 0, by having an arrow from 012 to 120.
09.11.2024 06:55 — 👍 0 🔁 0 💬 1 📌 0Thanks --- here's a monoid from my book!
09.11.2024 06:09 — 👍 0 🔁 0 💬 1 📌 0🍿
17.11.2023 23:28 — 👍 2 🔁 0 💬 0 📌 0I kept hearing about "logical depth" so I gave in and wrote a paper about it.
math.hawaii.edu/~bjoern/logical-depth-knapsack.pdf
UNIQUE SUBSET SUM is coNP-hard. Reference?
01.09.2023 04:01 — 👍 7 🔁 0 💬 0 📌 0They have different types so they can't be compared as = or not =.
30.08.2023 19:23 — 👍 0 🔁 0 💬 0 📌 0No, sorry.
23.08.2023 07:23 — 👍 0 🔁 0 💬 0 📌 0