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impendia
searching PlanetScale…
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53 ms
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511.
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by
impendia
7y ago
> Is this proof of Riemann hypothesis? It claims to be. That said, I very much doubt it. There are lots of papers out there which claim to prove RH. So far, none of them have been correct.
512.
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by
impendia
7y ago
> in the U.S. you are free to print your own paper currency Indeed, this is currently done. For example: http://www.ithacahours.com/
513.
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by
impendia
7y ago
My question is more hypothetical than practical: what would an ideal solution look like? I literally have no idea.
514.
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by
impendia
7y ago
Promotion from associate professor to professor is not automatic; indeed, there are several associate professors in my department who have been at that rank for some time, and seem unlikely to get promoted. But it is reasonably common, unli
515.
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by
impendia
7y ago
Since you seem knowledgeable about the topic, could I ask -- What would an ideal solution look like? Say I have a complicated equation. How could I present it (in any format) so that a blind person could read it, and understand it as easily
516.
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by
impendia
7y ago
I would say this is true of a programming language, but not really of LaTeX. Now LaTeX technically is a programming language, it's Turing complete. But in practice for most users it's not. Sure, there might be subtle inconsistenci
517.
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by
impendia
7y ago
Indeed, reading through the comments can be quite entertaining at times. I think that many authors don't realize they can be read....
518.
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by
impendia
7y ago
Here are some thoughts on this topic, together with software designed to help make LaTeX more accessible, by a blind mathematician. http://latex-access.sourceforge.net/ The software is designed to work with the LaTeX source
519.
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by
impendia
7y ago
> Well in the simplest case how about something like \bf versus \bfseries versus \textbf? Use any of them. > thousands of blog posts, each telling you which is the One True Way™ When I don't know how to do something in LaTeX, her
520.
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by
impendia
7y ago
As a frequent LaTeX editor (professional mathematician) -- what are you attempting to accomplish? And what do you mean by a "best practice"? My usual operandi is: poke around or Google for a solution, until I figure out one of the
521.
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by
impendia
7y ago
> tons of cheap regional schools Where? I teach at the University of South Carolina, where tuition and fees are over $10K a year. To my knowledge, the same is true of all the other four-year colleges in the state (Clemson, College of Cha
522.
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by
impendia
7y ago
Yes! It is. Happily, the buyers have (more or less) maintained the quality of the original.
523.
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by
impendia
7y ago
It's not an isolated example. There is a perfectionist streak in Japanese culture, which you can observe if you study any of their traditional arts (karate, tea ceremony, etc.) This shows up in the quality of some of their consumer goo
524.
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by
impendia
7y ago
I never said it was easy. In fact, in some sense, the problem is much harder than you might realize at first. This particular rabbit hole goes down very deep. I am not urging this family of problem on all high school students. Rather, on
525.
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by
impendia
7y ago
What I described is what I consider to be "doing mathematics". As distinct from applying mathematics to other problems (also a very worthwhile endeavor!) I'm certainly not encouraging everyone to pursue a career as a math pro
526.
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by
impendia
7y ago
>very few high school math teachers who have a good idea of what mathematicians do (Professional mathematician here) That's unfortunate, and it may be solvable. Indeed, professional mathematicians are usually the ones teaching prosp
527.
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by
impendia
7y ago
I'm a math professor, a white male, I was something of a child prodigy, and I was enormously blessed with math coaches who went far out of their way to help me. I agree wholeheartedly that opportunities need to be made more available
528.
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by
impendia
7y ago
This works because of generating functions : You can check that 1/(1 - x - x^2) = 1 + x + 2 x^2 + 3 x^3 + 5 x^4 + 8 x^5 + 13 x^6 + 21 x^7 + ... To check this (not totally rigorously), multiply both sides by 1 - x - x^2 and multiply ev
529.
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by
impendia
7y ago
> Driving everywhere in Houston results in a hell of a lot higher quality of life than riding public transit everywhere in Boston. Having lived in both places, and currently living in metro Boston without a car, I'm of the opposite
530.
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by
impendia
8y ago
I am confused about how they could be valued at $47 billion. (Unless they own $46.9 billion worth of real estate.) Let's suppose this company can eventually turn a profit (which already seems to be in doubt). I see nothing to prevent c
531.
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by
impendia
8y ago
Great answer, and let me add one thing, if OP has the opportunity and desire to prepare in advance. Usually the hardest thing about calculus is the precalculus. All sorts of algebra and trigonometry problems appear in the course of calculus
532.
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by
impendia
8y ago
As a math professor, I'd recommend contacting this professor, mentioning that you're going to take the class, and asking them. Along the lines of todd8's advice, you might ask for advice on how to best prepare. These are the
533.
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by
impendia
8y ago
As a couple of commenters noted, a Korean company (Sejongmall) purchased some of the machinery, adopted the Hagoromo Fulltouch brand name, and recently started producing and selling chalk. You can buy it on Amazon, for example. In my opinio
534.
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by
impendia
8y ago
I'm a math professor at a US state university. I once asked one of my older colleagues whether our students had gotten better or worse over the years. About the same, he said.
535.
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by
impendia
8y ago
> There is no need to pay $200,000 for a worthless degree In general, and certainly in my field (mathematics), Ph.D. students don't pay tuition, and they get a modest stipend (around 20K) in exchange for being teaching assistants.
536.
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by
impendia
8y ago
Hello! Academic mathematician here. Some thoughts -- - I definitely second the advice to seek the advice of a mental health professional, as well as people in the academic program in which you're thinking about enrolling. - There are i
537.
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by
impendia
8y ago
> In fact, it's often more expensive to take an Amtrak train from New York City to Boston than to fly. Why does the US, a country that created billionaire railroad tycoons, have such an expensive and inefficient train system? Japan
538.
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by
impendia
8y ago
> I still failed it on a technicality (out for a job interview the day partners were assigned for the final project. Wasn't allowed to do the project alone, there were an odd number of people in the class. University professor here.
539.
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by
impendia
8y ago
> Wisdom ... tends to not generalize as well as we would like. Ain't that the truth! I should maybe make it clear -- I'm not really asking for advice. Rather, I would find it very valuable to read how a variety of people have a
540.
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by
impendia
8y ago
I am not OP, but I'm interested in this question too. To be honest, I'm not too sure what "everyone else" does on the weekend either, and am curious about that also. Sometimes I end up intending to be productive, but end
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