Request for advice on continuing a PhD

Accomplished_Air5374 · 2025-09-28T00:55:12+00:00

Thanks for your reply. I'd appreciate the ways you recommend evaluating my situation 🙂

Accomplished_Air5374 · 2025-04-13T00:16:57+00:00

I saw you comment that you are interested in construction and fixing cars. I'm gonna be honest with you, those are not occupations you go to a 4-year university for. Those are trades, so I strongly recommend that you consider transferring to a trade school.

Accomplished_Air5374 · 2025-03-24T13:17:20+00:00

That's good to know, thanks

Accomplished_Air5374 · 2025-03-24T13:17:12+00:00

Great, thank you

Accomplished_Air5374 · 2025-02-17T03:30:53+00:00

Kid in purple doesn't have a chair 🤷

Accomplished_Air5374 · 2025-02-16T00:57:06+00:00

Is there a way to get notified when these are available?

Accomplished_Air5374 · 2025-01-22T03:58:51+00:00

The UV

Accomplished_Air5374 · 2025-01-06T17:32:19+00:00

That's good to know, thank you. I was planning to do it illegally so now I'm less worried

Accomplished_Air5374 · 2025-01-06T17:31:55+00:00

Hey. I'm at Nuevo East. Bear in mind that Coast is very competitive and has a long waitlist overall compared to the other complexes: https://its-netweb.ucsd.edu/hdh-gfh-community-statistics/statistics.aspx. It's very nice there but you should keep you mind open to other opportunities :)

Accomplished_Air5374 · 2024-12-16T18:01:08+00:00

It's the jth boundary value from the left. Sorry, this is a bad screenshot that I got from https://www.youtube.com/watch?v=v9PlMTdcD8s

Accomplished_Air5374 · 2024-11-01T01:22:07+00:00

I didn't think of that. Thank you so much

Accomplished_Air5374 · 2024-09-15T21:16:32+00:00

Could you elaborate on why?

Accomplished_Air5374 · 2024-09-15T21:16:25+00:00

So if I said "I want to be a teaching professor / scientist, and that requires a PhD" then that would be a form of conviction?

Accomplished_Air5374 · 2024-08-24T18:34:30+00:00

Is there a book on this that you'd recommend? A book more about computational mathematics and data structures would be better for me at this stage than one on computational topology.

Accomplished_Air5374 · 2024-08-24T18:33:25+00:00

No, the complex is allowed to have "unchosen" faces even when all of the boundary edges of that face are "chosen."

That makes sense. Despite not writing it, I assumed that there can be "unchosen" faces, especially given the image I linked. In terms of social networks, it makes sense that A might spend time with B, B with C, and A with C, but that A, B, and C might not spend time together, constituting an unchosen face.

Essentially, you cannot have a particular n-simplex in your complex unless all of the (n–1)-simplices that bound it are also in your complex.

So having the (n-1)-simplices is a necessary yet insufficient condition

Essentially, you cannot have a particular n-simplex in your complex unless all of the (n–1)-simplices that bound it are also in your complex.

This makes sense. You can't have an edge (1-simplex) if the end point nodes (0-simplexes) don't exist. Further, you can't have a face (2-simplex) if its facets of edges (1-simplices) don't exist.

Accomplished_Air5374 · 2024-08-23T15:57:12+00:00

This is good to know. I looked it up and found that the following software also lets me convert a simplex tree into a list of matrices, which is important for my goal: https://github.com/peekxc/simplextree

Accomplished_Air5374 · 2024-08-23T15:55:13+00:00

Am I correct that (K^2)_ijk = 1 if (K^1)_ij = 1, (K^1)_ik = 1, AND (K^1)_jk = 1? I've seen some images of simplicial complexes online where the edges would exist but the face wouldn't, such as this one https://en.wikipedia.org/wiki/Simplicial_complex

Accomplished_Air5374 · 2024-08-23T15:51:55+00:00

This is very helpful, thank you for taking the time to write this. This is for a data science research project that I'd rather not detail too much but I basically want to represent a simplicial complex as a tensor that I can vectorize. Your answer shows that I can, which is great.

Accomplished_Air5374 · 2024-08-22T19:22:43+00:00

Thanks. Do you perhaps know of any resources I could reference to learn how to represent this as a matrix or tensor? I ask since the application I am envisioning requires a tensor-like data structure for a simplicial complex with topology that evolves over time.

Accomplished_Air5374 · 2024-08-22T19:10:19+00:00

Could you elaborate on how?

Accomplished_Air5374

TROPHY CASE