jostylr

30 ms·

211.
by jostylr 9y ago
It is equivalent when applied to the function f(a) = a^(1/2) - x. Also, one needs to divide by 2 since if a is the square root of x, then a+x/a = a + a = 2a. n-th roots are not quite as nice, but still work fairly simply: ((n-1)
212.
by jostylr 9y ago
A large part of the problem is that problems are presented to them, instead of coming from them. And then the solutions are presented. Humans just don't appreciate it. In a course I teach, I have students reading Guesstimation and doin
213.
by jostylr 9y ago
Probably did do that at first (10ish years ago makes it a bit of a haze), but it was being served up by a PHP script that was creating the card name dynamically. I wanted to move it off being tied to a server anyway and since anyone playing
214.
by jostylr 9y ago
In making a card game site ( http://www.goodloesolitaire.com/ ), I got bit by ad.png; the "ad" was referring to ace of diamonds. Fixed it by using a single image for the whole deck and changing the position of the
215.
by jostylr 9y ago
Error: Yes, it should be 3 10^80. I think my brain was half-writing the dimension and half-writing the more useful view of (R^3)^10^80. Thanks for catching that. As for your analogy, I don't quite follow. The actual physical model is t
216.
by jostylr 9y ago
While one can take a bit of issue with using the ether as analogy for a number of reasons, the most important difference to keep in mind is that the wave function exists in configuration space. For 10^80 particles, this is a space with 3^(1
217.
by jostylr 9y ago
I teach a Quantitative Methods course and in it, I have students read through the Guesstimation book by Weinstein and Adams (listed on that wiki page). There is also a second volume. They do 11 blog entries each on modifying a question from
218.
by jostylr 9y ago
Planck's constant arises in continuous theories of quantum mechanics, such as Bohmian mechanics and its QFT extensions. There are limitations to how much we can know, but not limits to what can be.
219.
by jostylr 9y ago
I remember Dr. Zeillberger from my graduate days at Rutgers. He clearly had a lot of interesting stuff to say which he packages in sensational and emotional form. I found it off-putting then as well as now. But to be charitable, I think it
220.
by jostylr 9y ago
That's great to hear; SVG should be more than sufficient. I only have a Mac so I can't play with the program itself. I was going off the visual of the export of pdf/png. I see now that it says SVG in the body text. I totally
221.
by jostylr 9y ago
Do you have any plans to export out a diagram as code, such as in GeoGebra's export to PSTricks and Tikz? Perhaps even better would be a set of instructions that could be piped into some other program to transform into whatever it need
222.
by jostylr 9y ago
Read up on Sudbury schools. The trick is to treat kids like real human beings. Don't tell them what to do beyond what is needed to form a functioning community and environment. Let them figure themselves out. Let them succeed and fail,
223.
by jostylr 9y ago
For relativity, there is the venerable General Relativity for Mathematicians. https://www.amazon.com/General-Relativity-Mathematicians-Gra...
224.
by jostylr 9y ago
I found the video did describe live programming quite a bit, but it was not clear to me how this was a merger with literate programming. In my journey into literate programming, a large portion of its benefits is being able to sculpt the st
225.
by jostylr 9y ago
For those interested in learning how a return to a one-room school house kind of mentality goes, the Sudbury Model Schools are such an example. The original such school's website has a number of resources: http://www.sudval
226.
by jostylr 9y ago
This was written in May 2000, but the following bit sounds like it was written May 2017. > In conclusion, I want to confess what my real goals are in teaching this material. In a society in which information is passed in 60 second sound
227.
by jostylr 9y ago
PWT has an underlying dynamics, much like classical mechanics, that to compute the predictions exactly, one has to have perfect knowledge of the current state. Given that knowledge and a perfect computational environment, one could then det
228.
What are the proper purposes of a system of schooling?(psychologytoday.com)
2 points by jostylr 10y ago|0 comments
229.
by jostylr 10y ago
Work for the money while exploring and enjoying boredom. Save lots of money, position yourself (or keep positioned) to get good recommendations from your team. Don't burn bridges. If you don't eventually get inspired to do somethi
230.
by jostylr 10y ago
This is about a decade old before MathJax and back when its predecessor, jsMath, was still pretty new. It was targeting students the most, not those who use latex professionally. I used it to create TidlyWiki notebooks for my students and i
231.
by jostylr 10y ago
Expecting no problems is absurd. Zero is very different from small, in terms of possibility and cost. The real issue is, how did the system react to this? How does it self-correct? This is where so much of government falls down as they clos
232.
by jostylr 10y ago
I find the author's notion of being a leader to be a bit disturbing. A leader is someone whose authority is granted to them by those they are leading. A great leader is someone who may not even be thought of as a leader, but neverthele
233.
by jostylr 10y ago
Not just old people, but having young people segregated into cohorts of kids the same age, being directed in activities, away from what adults are naturally doing at that time. There is a whole age spectrum from 0 to 100 where the 20-60 yea
234.
by jostylr 10y ago
I didn't say that well. I mean, non-zero everywhere. There can be bumps with most of the support, but integrating |psi|^2 over any region gives a non-zero result, if mostly below the order of, say 10^-100 outside of your two bumps. Th
235.
by jostylr 10y ago
I am theoretically a big fan of the (not yet existing) Markua math format from leanpub: https://leanpub.com/markua/read#math The inline math syntax is `x^2 + 4x +4`$ so the dollar sign is outside the backticks, but t
236.
by jostylr 10y ago
So the wave function, a function say on configuration space, is real. And that's it? But what does that mean? What is the mapping to my experience? Is it that if the wave function is non-zero at a configuration point, then the configur
237.
by jostylr 10y ago
I think the most problematic issues is that physicists reject the wave function. I have never understood this since if you reject the wave function in standard quantum mechanics, you have nothing left. But the pilot wave is just the wave fu
238.
by jostylr 10y ago
A big difference is that standard analysis is well-defined on its own. The standard Copenhagen interpretation is simply not a well-defined theory because measurement is not well-defined, e.g., the cat problem. A more appropriate analogy to
239.
by jostylr 10y ago
The same complexity is there in both cases. However, there are techniques that allow one to compute the wave function from the Bohmian trajectories. It is just a mathematical trick that certainly does not make BM philosophically more releva
240.
by jostylr 10y ago
There are various versions, but the one I recommend to date loses determinism (that was never the point) and allows for annihilation and creation of particles: https://arxiv.org/abs/quant-ph/0208072 In addition,

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