Recent content by jedishrfu

My favorite out-of-the-box experience is the Scarecrow in The Wizard of Oz (1939). On several occasions, he comes up with novel solutions to problems. The best scene was when the Winkies surrounded them, and he grabbed the tin man's axe to cut the chandelier rope, letting it crash down on the...

The recommendation I got was to use his book, as mentioned in an earlier post by @romsofia, as a basis, and to look for modern derivations of his theorems. There is also the classic Flanders book on differential forms, which might give you some insight into geodesics. Differential forms was...

Since the OPs question has been answered multiple times in this thread, this is a good time to close it. Thank you all for contributing here and thanks to the OP for posting his questions here. The thread is now closed.

Yeah, my take was he was trying to find a programming building block for symbolic regression and evolutionary equation discovery. He mentions that the lowly NAND gate can simulate all other primitive gates and seeks something similar for more general math. It's mathematically elegant. It plays...

Have you seen the recent ArXiv preprint paper by Andrzej Odrzyvolek https://arxiv.org/html/2603.21852v2 It's related to your discussion, and you might find it interesting. Basically, he has reduced all intrinsic functions to a single function: and eml(x, y) = exp(x) - ln(y) He came up with...

The trackpad is definitely a cool input device, but so is a mouse. I have a trackpad in my MacBook Air M2 and use it whenever I don't have my mouse. The mouse is good for finding, scrolling, and clicking. The trackpad isn't so good here, as you sometimes need to flick your fingers more to get...

The trackpad is definitely a cool input device, but so is a mouse. I have a trackpad in my MacBook Air M2 and use it whenever I don't have my mouse. The mouse is good for finding, scrolling, and clicking. The trackpad isn't so good here, as you sometimes need to flick your fingers more to get...

Gerard t’Hooft, a world class physicist, has a website devoted to the path of a theoretical physicist. https://www.goodtheorist.science/ It may be a little dated, but I'm sure you’ll find something interesting in what he says. Also on our site here @ZapperZ wrote a multi-part series on...

From what I read Manchester will give you the best foundation and broadest exposure to many areas of physics. It has the largest department and a world class reputation. Next up was Durham for theory heavy cosmology from day one and and then Nottingham for quantum gravity but it has a smaller...

Yeah, that's my feeling too. Now, since I have the opportunity, I need to persevere while enjoying the journey. You'll always have doubts or homework that seems insurmountable, but persevere. One third-year grad student I talked to said he once read “It's not about the grades,” don't strive...

Okay, so what happened. I had a student who dropped out the the math PhD from Texas A&M. I don't know why but it sounded like politics or departmental attitude. Anyway, I learned that a local university had just started a new math PhD program so I told him about it. I noticed that the GRE was...

For a PhD you must show a genuine curiosity about your field and a willingness to persevere through courses, and later the research. My Dad would always remind to be consistent, insistent and persistent. It works well for kids but being a grad student myself it works well. I think you can make...

Welcome to PF! What are your fields on interest? What programming family? For the last 25 years itwas java but the previous 20 years was macro assembler, Fortran-Y, Cobol and then C/C++ and now it's python, C/C++ with CUDA and OpenMP.

https://news.mit.edu/2026/mit-scientists-build-worlds-largest-collection-olympiad-level-math-problems-open-0424 MIT researchers have built the largest collection of math Olympiad problems from 47 countries.

I had an eerie experience when I moved to Poughkeepsie, NY, to start a new job. My manager's name was Carl M. I was out in my yard mowing when I met my neighbor across the street, Carl M. I was confused and asked him where he worked, and it turned out to be the same company. I told him my...