graycat

19 ms·

121.
by graycat 2y ago
How? First have a clear statement of the context. Second, define and explain all the obscure terminology and mathematical notation -- at least give good references. Gee, in one discussion of Lagrangians, saw "configuration space"
122.
by graycat 2y ago
> The price of land will skyrocket Is that really true? Let's look at some data from Google, the World Bank, etc.: US land area: 3,532,316 square miles US population: 334.9 million 640 acres per square mile
123.
by graycat 2y ago
> I don’t have a good workflow and can’t even imagine one. NOOOO problem. Simple solution. In one word, text. Two words, text editor. E.g., this Hacker News thread is at: https://news.ycombinator.com/reply?id=42988455
124.
by graycat 2y ago
Random number generation? There still is: R. R. Coveyou, R. D. MacPherson, "Fourier Analysis of Uniform Random Number Generators", Journal of the ACM, Volume 14, Issue 1, Jan. 1967, Pages 100-119. Fro
125.
by graycat 2y ago
As I recall, the Nim strategy is in Courant, 'What is Mathematics'.
126.
by graycat 2y ago
> Such habits could lead young people to see teachers as mere dispensers of information rather than as mentors who guide and nurture their intellectual and moral growth. In the US, "guide and nurture their intellectual and moral gro
127.
by graycat 2y ago
> numerical linear algebra stuffs like iterative solvers Been there; done some of that: Once worked on numerical linear algebra, e.g., Gauss-Seidel. Then ran into the M. Newmann numerically exact technique based on (i) multiply by a sui
128.
by graycat 2y ago
1% is tiny, really small. In my experience, commonly orbits in the solar system are astoundingly accurate over centuries. This prediction is relatively soon, 2032. So, we have (A) a crude orbit and only 1% prediction of hitting Earth or (B
129.
by graycat 2y ago
Is that probability of an impact 1% or 1 = 100%????
130.
by graycat 2y ago
In the 1990s there was another big AI push, rules, the RETE algorithm, etc., and, in the middle of it, gave talks at Wharton, Stanford, etc. First cut, could think of it as a generalization of Select-When. The code had a problem, and one a
131.
by graycat 2y ago
A favorite on my bookshelf: Bernard R.\ Gelbaum and John M.\ H.\ Olmsted, {\it Counterexamples in Analysis,\/} Holden-Day, San Francisco, 1964.\ \
132.
by graycat 2y ago
The Kalman Filter is a topic in the more general David G.\ Luenberger, {\it Optimization by Vector Space Methods,\/} John Wiley and Sons, Inc., New York, 1969.\ \
133.
by graycat 2y ago
In one word, yup. My solution: In class put head down and just ignore the teacher. I DID want to learn the good material (math and science) so DID that in the one hour of daily 'study hall' and when I got home. And, with this
134.
by graycat 2y ago
Tenure or not, the university doesn't have to have the salary keep up with inflation. Really, bottom line, a prof has to continue to please their department colleagues, chair, and dean.
135.
by graycat 2y ago
> It only supports the fact that data amount/quality is not the problem. I agree with that. I.e., for "drive competently." the way humans learn it is more general, i.e., also brings the list I gave with bycycles, pizza, gr
136.
by graycat 2y ago
> A human does not need billions of driving hours to learn how to drive competently. But humans DO need ~16 years of growth and development "to learn how to drive competently" and then will also know how to ride a bycycle, mow
137.
by graycat 2y ago
Yes, in the STEM fields, for published papers, it's easy just to count them; much harder to read them; to evaluate them, some people just count awards, etc. So, the hard work that makes the good material in the paper may never be noti
138.
by graycat 2y ago
In proofs in math, there is the old: "Elegance is directly proportional to what you can see in it and inversely proportional to the effort it takes to see it."
139.
by graycat 2y ago
My experience: (1) Do bang up, really good word, save/make major improvements in the work of the organization. (2) Thus, fully unintentionally scare the management (afraid of being upstaged, shown up ) all the way to the top. (3) Have
140.
by graycat 2y ago
Come on, guys, help me out here: Take some people, have them write essays, collect and process all the essays, which to me sounds like one step above high school plagiarism, and now expect to discover some "new, correct, significant&q
141.
by graycat 2y ago
One cheap pork recipe: At US grocery prices, roasted pork for ~$0.33 an ounce -- 3 ounces makes a meaty sandwich: Get 2 Picnic Pork Shoulder roasts, ~9 pounds each. On a 'V' roasting rack (I found a strong one, no moving parts,
142.
by graycat 2y ago
Yup, your list of '-' items is terrific. Well put. I've seen the same. Had an HP laptop with a version of Windows 10 I liked okay, but after several years the mechanical hard disk failed. Got another HP laptop, with Bit Loc
143.
by graycat 2y ago
What to do? Apparently long so overqualified that unemployable so am doing a startup. If it is successful, I'll pay off some old bills and loans. Then, sure, pursue mathematical physics, maybe get a modest house with a lake, woo
144.
by graycat 2y ago
Another view of topology is in John L.\ Kelley, {\it General Topology,\/} D.\ Van Nostrand, Princeton, 1955.\ \ In the set R of the real numbers and x, y in R with x < y, (x,y) = { z | x < z < y } is open and, with x <=
145.
by graycat 2y ago
Edit: Replace P(X = p > 0) with P(X = p) > 0
146.
by graycat 2y ago
Uh, Joe, you have random variable X. What is its value? Sam, just a minute. Let me draw a sample . Got one: X = 7. But, Joe 7 is not very surprising or interesting. Is there anything else? Sam, sure, one more minute. Got one! Joe, wel
147.
by graycat 2y ago
In 1933, A. Kolmogorov used H. Lebesgue's measure theory to define random variables. With that definition, could have a random variable X whose values are only prime numbers and such that for each prime number p and for probability
148.
by graycat 2y ago
This thread seems to be about good writing for math. Okay, for some decades, I've read, written, taught, applied, and published, in total, quite a lot of math. Got a Ph.D. in applied math. Yes, there are problems in writing math, that
149.
by graycat 2y ago
Check it out, but ~2020 saw where in the US could BUY a nice manufactured house , with a mortgage, for ~$300/month. Land? Some small rural communities have been falling in population and are eager for new people -- sooooo, land for
150.
by graycat 2y ago
> gap? E. L. Lehmann, 'Nonparametrics: Statistical Methods Based on Ranks', ISBN 0-8162-4994-6, Holden-Day, San Francisco, 1975. Sidney Siegel, 'Nonparametric Statistics for the Behavioral Sciences', McGraw-Hill, New

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