3 ms·

I’d be interested to see this expressed as a Lie (pronounced “Lee”) Algebra personally. https://en.m.wikipedia.org/wiki/Lie_algebra https://en.m.wikipedia.org/

I’d be interested to see this expressed as a Lie (pronounced “Lee”) Algebra personally. https://en.m.wikipedia.org/wiki/Lie_algebra https://en.m.wikipedia.org/wiki/Lie_algebra

tobbe2064 3y ago
Why?
victorsup 3y ago
can you elaborate?
- finnish-food 3y ago
  About what in particular? It seems you’re making a https://en.m.wikipedia.org/wiki/Hierarchy_(mathematics) https://en.m.wikipedia.org/wiki/Hierarchy_(mathematics) which isn’t dimensional in any nature. It’s like saying that hacker news is a “2d forum”… Anyway ordering it more like https://en.m.wikipedia.org/wiki/Power_set https://en.m.wikipedia.org/wiki/Power_set Just seems natural to me. Information typically isn’t hierarchal outside of artificial structures.
  - igravious 3y ago
    It's a tree laid out more-or-less intuitively (like a mind map) on a two dimensional plane which someone is calling a map (you can quibble with the term "map" if you like but it's not a mind-bendingly incomprehensible term) in this context. It's not a power set, there would appear to be multiple singly rooted n-ary trees. You start with an initial query (the root node) and the generated ChatGPT responses (they are called cards here) branch out like a tree rather than being a linear back-and-forth convo – structured like, as I said, a mind map https://en.wikipedia.org/wiki/Mind_map https://en.wikipedia.org/wiki/Mind_map
    - finnish-food 3y ago
      [flagged]
    - finnish-food 3y ago
      [flagged]
igravious 3y ago
To be clear; what you say you're interested in seeing is having this graph structure (a singly rooted n-ary tree) expressed as a, and I quote “a vector space 𝔤 together with an alternating bilinear map 𝔤 × 𝔤 → 𝔤 that satisfies the Jacobi identity” Riiight
- finnish-food 3y ago
  Yea I want to see the 2d non-spatial map have spacialized properties within the self-contained g-space. That is right. Is saying it in big words somehow more confusing for you? Basically Jacobi identity would be about things like disambiguations on Wikipedia so again… are you just intimidated by words you don’t know or something? That makes me sad for you.
  - legosexmagic 3y ago
    the jacobi identity is [x,[y,z]] - [[x,y],z] = [y,[x,z]] ie. it says the lie (pronounced "lee") bracket is almost associative but you have to add a [y,[x,z]] when you rearrange brackets. it has absolutely nothing to do with disambiguations. hope that helps lol

I’d be interested to see this expressed as a Lie (pronounced “Lee”) Algebra personally. https://en.m.wikipedia.org/wiki/Lie_algebra https://en.m.wikipedia.org/wiki/Lie_algebra

tobbe2064 3y ago

Why?

victorsup 3y ago

can you elaborate?

finnish-food 3y ago
About what in particular? It seems you’re making a https://en.m.wikipedia.org/wiki/Hierarchy_(mathematics) https://en.m.wikipedia.org/wiki/Hierarchy_(mathematics) which isn’t dimensional in any nature. It’s like saying that hacker news is a “2d forum”… Anyway ordering it more like https://en.m.wikipedia.org/wiki/Power_set https://en.m.wikipedia.org/wiki/Power_set Just seems natural to me. Information typically isn’t hierarchal outside of artificial structures.
- igravious 3y ago
  It's a tree laid out more-or-less intuitively (like a mind map) on a two dimensional plane which someone is calling a map (you can quibble with the term "map" if you like but it's not a mind-bendingly incomprehensible term) in this context. It's not a power set, there would appear to be multiple singly rooted n-ary trees. You start with an initial query (the root node) and the generated ChatGPT responses (they are called cards here) branch out like a tree rather than being a linear back-and-forth convo – structured like, as I said, a mind map https://en.wikipedia.org/wiki/Mind_map https://en.wikipedia.org/wiki/Mind_map
  - finnish-food 3y ago
    [flagged]
  - finnish-food 3y ago
    [flagged]

igravious 3y ago

To be clear; what you say you're interested in seeing is having this graph structure (a singly rooted n-ary tree) expressed as a, and I quote “a vector space 𝔤 together with an alternating bilinear map 𝔤 × 𝔤 → 𝔤 that satisfies the Jacobi identity” Riiight

finnish-food 3y ago
Yea I want to see the 2d non-spatial map have spacialized properties within the self-contained g-space. That is right. Is saying it in big words somehow more confusing for you? Basically Jacobi identity would be about things like disambiguations on Wikipedia so again… are you just intimidated by words you don’t know or something? That makes me sad for you.
- legosexmagic 3y ago
  the jacobi identity is [x,[y,z]] - [[x,y],z] = [y,[x,z]] ie. it says the lie (pronounced "lee") bracket is almost associative but you have to add a [y,[x,z]] when you rearrange brackets. it has absolutely nothing to do with disambiguations. hope that helps lol