irchans

8 ms·

31.
by irchans 3y ago
I liked the article and I hope that I can understand it more with some study. I think the following sentence in the article is wrong "Applying Noether's theorem gives us three conserved quantities—one for each degree of freedom in
32.
by irchans 3y ago
I'm an applied mathematician (Ph.D. in math but never a professor) and I did not want to try to understand the description of schemes in the obituary. I thought that the obituary was too technical for me. On the other hand, if I thou
33.
by irchans 3y ago
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
34.
by irchans 3y ago
I think that it would be fairly easy (meaning that I think I could do it in 8 hours) to build a Turing Machine that prints 10^1000 1's on its tape and then halts. We would not be able to construct and run physical Turing machine that
35.
by irchans 3y ago
I would be happy to allow these systems on our public roads if they had fewer accidents/fatalities per mile than human drivers. Google found this claim "According to the report, Tesla cars with Autopilot turned on are much safer t
36.
by irchans 3y ago
I have a BS and a PhD in Math (about 20 grad math courses) and I've published about 15 math papers, but I've never been a professor. I don't know what modular forms are. (I specialized in numerical analysis.) I also bet th
37.
by irchans 3y ago
About 5.5 years ago, I bet a friend that in 5 years you would be able to: 1 - enter a car 2 - type in an address that is far away, and then 3 - the car would drive to that other address and the passenger could just go to sleep, and 4 - thi
38.
by irchans 3y ago
You are correct. I miss quoted. Thanks!
39.
by irchans 3y ago
Hofstadter said, "Well, maybe as important as the wheel." If AI significantly surpasses humanity in cognitive ability, then I think it will have a much bigger impact than the wheel. (I loved GEB and DH's other writings.) LLM
40.
by irchans 3y ago
Some LLM AI is going to read this and create a similar apparatus for training humans.
41.
by irchans 3y ago
This is a good idea. If I ever teach basic calc again, I will use it. Thanks! (The last time I taught math was vector calc 4 years ago. The last time I taught the first semester intro to calc was 30 years ago OMG-LOL.)
42.
by irchans 3y ago
I really like this idea "Optimism in the face of uncertainty". I love that the idea arises from real mathematical theorems. https://www.sciencedirect.com/science/article/abs/pii/S03032... See
43.
by irchans 3y ago
Maybe tomorrow I will touch 20 flowers on my daily walk. (50 seems like too much.) Thanks for the idea. I don't know if this is really similar, but maybe it's a bit related. One of my friends and I decided to write 100 words a d
44.
by irchans 4y ago
/* This code is silly, not super accurate, but fun / double cos2(double x, int n) { double numerator = 1.0; double denominator = 1.0; double pi = 3.14159265358979323846; int i; for (i = 1; i <= n; ++i
45.
by irchans 4y ago
Thank you! Huge difference! Lack of research on my part. Sorry
46.
by irchans 4y ago
I agree with you. (I was a nuclear engineer for a few years.) The problem seems to be human institutions. There always seems to be corruption and stupidity. Chernobyl was pretty stupid. Bad reactor design and rather bad operator decisio
47.
by irchans 4y ago
Here is my list ! 1) Practice makes you better. 2) You can make decisions that affect the rest of your life. 3) Programming (the idea that many procedures can be broken down into precisely defined steps which can be done by a computer.) 4)
48.
by irchans 4y ago
The older editions of "Physics for Students of Science and Engineering" by Halliday and Resnick are great. Over the last 60 years, this has been the most commonly used physics text book in college. It's rather well written,
49.
by irchans 4y ago
"Best Approximation in Inner Product Spaces" by Frank Deutsch. This book is about the following problem, "Given a point P and a set S in a vector space, find the point in S closest to P." (The most common example of a ve
50.
by irchans 4y ago
- A program for backing up my Master of Orion Save Files - A program for finding the best planet in Master of Orion - A program for calculating my walking pace from time and milage - Many simulations for various games - Several Markov Decis
51.
by irchans 5y ago
Personal Power - Robbins, How to win friends and influence people - Carnegie, Feeling Good - Burns, Godel Esher Bach - Hofstadter, Fundamentals of Physics - Halliday and Resnick, Jonathan Livingston Seagull - Bach, The Commodore 64 User Ma
52.
by irchans 5y ago
Often you can bound the running time --- certainly if there are no loops and you only use + - * and / operations. But, you are often screwed if there is a sin, cos, sqrt or other function that gives irrational results. You can someti
53.
by irchans 5y ago
I still like to occasionally use rational number arithmetic because I "know" that the answer is correct. It is very true that it can be horribly slow, but if it does finish, then you do have a correct answer. I have only rarely
54.
by irchans 5y ago
>> Do algorithm authors really implement two code paths? I do sometimes. Sometimes I test the result, and if it is not correct, then I use a slower, more numerically stable algorithm. I'm not sure if I have ever written code th
55.
by irchans 5y ago
Wow, Great, Thanks!
56.
by irchans 5y ago
It's interesting to me that you include the Tech industry. I am familiar with bailouts for the auto and financial industry. In what way is the Tech industry "insulated from feedback"?
57.
by irchans 5y ago
There are formal grammars. The formal grammars are really hard to understand in my humble opinion. The best examples I think are COQ (see e.g. https://en.wikipedia.org/wiki/Coq ) and Lean (see e.g https://e
58.
by irchans 5y ago
I've quit my job with no plans several times. As I got older, it got harder to find a job. When I left the Navy at age 25, I had just been overseas. I had applied to a Master's degree program at the same university where I got a
59.
by irchans 5y ago
Alternatively, the links to paid sites could be colored differently or marked with a dollar sign. Maybe users could have an option to filter out paywalled links.
60.
by irchans 5y ago
From what I understand, low doses LSD or mushrooms sometimes (I think like 20% of the time) creates a long term (six months to permanent) change in mood for severely depressed people. I am also under the impression that there is no extra b

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