https://piped.video/watch?v=f5liqUk0ZTw

I think I understand the rank one and rank two systems, but I’m not clear about what the 3rd represents on a Cartesian plane.

My mental model involves tying concepts to CAD design and assemblies. I am coming from FreeCAD where picking origins and designing everything on planes is critical.

The thing that I really don’t understand about tensors yet is how the origins are derived and relate with different objects in 3d space. I want to assume R3 relates to the origin but I am not sure.

  • solrize@lemmy.world
    4·
    11 months ago

    A well known example is the vector cross product, which is normal to the plane of the to vectors being multiplied. Does that make enough sense?

    • Rhynoplaz@lemmy.world
      1·
      11 months ago

      Are you guys fucking with me?

      I can’t decide if this is an extremely specialized question in a general question space, or an invitation to write nonsense just to confuse random passersby like myself.

      Or perhaps, maybe both? Either way. Great job and keep up the good work!

        • j4k3@lemmy.worldOPEnglish
          1·
          11 months ago

          I don’t think Lemmy is big enough for fine grain technical communities in practice. I’m all for growing them but I don’t think they are super useful in practice yet. Asking hard questions has yielded no results on several occasions. When I do get a reply from a niche community, it is usually quite a bit later. In an instance like this one, I’m looking for someone that can either point me towards a better reference source or quickly notice where I am incorrectly making assumptions. Generally I’ve gotten better results putting questions in front of more eyes at any given point in time. I have a few accounts where I have tried probing here and beehaw for expertise in whatever I am currently exploring.

          I didn’t understand your explanation, but it did help me to read further and realize the direction I was trying to go with intuitively was wrong. Thanks.

          • solrize@lemmy.world
            2·
            11 months ago

            Lemmy.ml has a math community with some clueful posters too. I can understand wanting to avoid stack exchange and Reddit. Wikipedia’s math reference desk is still ok though, albeit less active than it used to be.

    • j4k3@lemmy.worldOPEnglish
      2·
      11 months ago

      Already discovered. That’s when I knew I had no chance of grasping this as an intuitive concept.