irchans · HackerTrans

25 дней назадdiscuss

Certainly most universities now have a very strong liberal bias. I think most science departments were left leaning in the 1950s, but it is stronger now. (I think colleges and universities have always been more progressive than the general populous.) The administrations of universities are now very strongly Democrat leaning. I think that Trump just sees a lot of Democrat run institutions and thinks, "Why should the government support these institutions run almost entirely by Democrats."

irchans

2 месяца назадdiscuss

I'm retired. I hope to get a 3% per year income from my savings every year after inflation and taxes. If my state implemented a 1% wealth tax on savings each year, I would go bankrupt in 20 years. I am hoping that I will live 20 years.

irchans

2 месяца назадdiscuss

I also "had an Iron Man moment last week" as a mathematician. I've been doing joint math research with two friends (professors) on a project for several years. Last week, I decided to explore part of our research using chat GPT. 1) I would have a thought. 2) Present it to GPT. 3) Ask GPT to write theorems that were easy to prove and put those proofs into LaTeX. (I always have to check the proofs carefully.) 4) Then I would ask it to generate code (I mostly use Mathematica the language.) 5) Running the code would help verify the proofs. It would also inspire more thoughts and I would go back to step 2). This worked very well, but at one point I could not bound a particular expression and I was not understanding it well, so I got out the pencil and paper and redid the derivation myself which helped a lot. This whole process worked about 10 times faster than doing it without GPT. At the end of a couple of hours I had around 20 pages of correct proofs and all the code needed to do numerical simulations related to the proofs.

irchans

3 месяца назадdiscuss

ikrima, Do you have any links to your research or paper titles?

irchans

3 месяца назадdiscuss

How about:

(* Mathematica Notation, Assume x>0 ) If[ x < 10^(-10), 1+ x/2, ( order x^2 error ) If[ x> 10^10, Sqrt[x], ( order 1/Sqrt[x] error ) (else) Sqrt[x +1] ] ] ( I guess the If statements take too much time. *)

irchans

3 месяца назадdiscuss

Us humans do have difficulty with safety. Sometimes we are able to overcome that problem to an extent. Here are some the few examples where humans have done well with safety: FAA commercial airlines, Soyuz, ISS, Shinkansen trains, US Nuclear power post 3 mile island, Vaccines, and the Falcon 9.

irchans

4 месяца назадdiscuss

I think that finding proofs for open mathematical questions should count as critical thought. (See https://medium.com/%40cognidownunder/three-erdős-problems-fe...)

irchans

4 месяца назадdiscuss

AI makes it possible for someone who has never written code to generate a program that does what they want. One of my friends wanted to simulate a 7,9 against a dealer 10 upcard in the card game blackjack. GPT was able to write the simulation for him in javascript/html. So it took a 0.001x coder and turned him into a 0.2x coder.

irchans

4 месяца назадdiscuss

This morning a person posted a question to the Reddit group r/Mathematica (https://www.reddit.com/r/Mathematica/comments/1s1fin2/can_ho...).

I asked GPT to write code to address their question and the code was quite acceptable drawing the circle and finding the correct intersection point. It would have take me about 40 minutes to write the code, so I would not have done it myself.

Currently, GPT is great for writing short programs. The results often have a bug or two that is easy to fix, but it's much faster to have GPT write the code. This works fine for projects that are less than 100 lines of code where you just want something that works.

irchans

8 месяцев назадdiscuss

Type "Polar plot 6 curves of the form r = (1 + Sin[2^(k - 1) t]/2^(k - 1)) where k =1, 2, .., 6 and t=0 to 2 Pi each curve should be a different color" into ChatGPT5.

https://chatgpt.com/share/690f675d-c340-8013-b598-41fe487b4e...

It has the nice properties that you can do any number of sets (in theory) and all the boundary intersections are either osculating or perpendicular.

irchans

8 месяцев назадdiscuss

I think this 6 set Venn Diagram is nice because I made it. :)

http://162.243.213.31/wp-content/uploads/2012/08/Ven3.png

irchans

3 года назадdiscuss

I think that researching pedagogy is very difficult, and, like many scientific fields, it is hard to reproduce results found in papers. (I am not an expert in this area -- I am just a former teacher with around 10 years teaching experience.) One of the main things I notice is that standardized test scores are not really improving. I think that high school students today would score about the same as high school students in the 1980's if they were given the same multiple choice tests. This implies to me that the field has not advanced a lot. I do think that LLMs and other computer based teaching could help.

irchans

3 года назадdiscuss

Some LLM AI is going to read this and create a similar apparatus for training humans.