9 Matching Annotations
  1. Nov 2022
    1. okay so remind you what is a sheath so a sheep is something that allows me to 00:05:37 translate between physical sources or physical realms of data and physical regions so these are various 00:05:49 open sets or translation between them by taking a look at restrictions overlaps 00:06:02 and then inferring

      Fixed typos in transcript:

      Just generally speaking, what can I do with this sheaf-theoretic data structure that I've got? Okay, [I'll] remind you what is a sheaf. A sheaf is something that allows me to translate between physical sources or physical realms of data [in the left diagram] and the data that are associated with those physical regions [in the right diagram]

      So these [on the left] are various open sets [an example being] simplices in a [simplicial complex which is an example of a] topological space.

      And these [on the right] are the data spaces and I'm able to make some translation between [the left and the right diagrams] by taking a look at restrictions of overlaps [a on the left] and inferring back to the union.

      So that's what a sheaf is [regarding data structures]. It's something that allows me to make an inference, an inferential machine.

  2. Jun 2021
  3. Sep 2020
  4. Jul 2020
  5. May 2020
  6. Jul 2018
    1. Therefore, well controlled basic science studies are important in resolving outstanding fundamental questions regarding means of treatment in a consistent and well established model

      Yes, but on the other hand, basic science is expensive and does not provide return on investment. That is not good for the economy and businesspeople.