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Happy Tau Day

102 点作者 vColin将近 14 年前

16 条评论

imurray将近 14 年前
"What Tau Sounds Like" <a href="http://www.youtube.com/watch?v=3174T-3-59Q" rel="nofollow">http://www.youtube.com/watch?v=3174T-3-59Q</a><p>(Yes, we know that Tau doesn't <i>really</i> sound like anything, but this was fun and better than I expected.)
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imurray将近 14 年前
The earliest example I've seen of 2π is in a 1763 letter from Thomas Bayes (the paper that appeared in the Royal Society proceedings directly after the one that's famous). He used <i>c</i> for the circumference of a circle whose radius is unity.<p>If you've ever used Stirling's approximation, this is the paper that first points out that it's a divergent series.<p>Scan of original (it's also on JSTOR): <a href="http://www.york.ac.uk/depts/maths/histstat/letter.pdf" rel="nofollow">http://www.york.ac.uk/depts/maths/histstat/letter.pdf</a><p>With modern typesetting and an explanation: <a href="http://www.stat.ucla.edu/history/letter.pdf" rel="nofollow">http://www.stat.ucla.edu/history/letter.pdf</a><p>(I don't seriously think we should change from pi to tau.)
vessenes将近 14 年前
The most compelling argument for me in using tau, (and I have started trying to think in tau when it comes up) is the radians argument: one quarter of a circle is tau/4, or pi / 8, you pick.<p>I am certain my kids will have an easier time remembering tau/4, as I do myself.<p>The other compelling thing for me came from remembering just how many integrals from 0 to 2pi I wrote over my freshman complex analysis class. A lot. Less notation is always nice; having tau represent the entire circle just makes a lot of sense!
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ianterrell将近 14 年前
Can anyone defend Pi on grounds other than <i>that's the way it's always been</i>, or <i>introducing a new constant is hard</i>?
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speckledjim将近 14 年前
"Almost anything you can do in maths with pi you can do with tau anyway,"<p>WTF is this? I'm eagerly awaiting an explanation of what you can do with X that you can't do with 2X.<p>It's a moot anal point. X or 2Y, using one over the other doesn't solve anything.
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cuponthefloor将近 14 年前
Simple and relevant! <a href="http://www.youtube.com/watch?v=jG7vhMMXagQ" rel="nofollow">http://www.youtube.com/watch?v=jG7vhMMXagQ</a>
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Confusion将近 14 年前
The mathematical world is as full of lonely pi's, as it is of 2*pi's. Now we need to move to tau/2 and tau, only to get a pi-manifesto in a couple of decades.<p>Previous discussions:<p><a href="http://news.ycombinator.com/item?id=1468341" rel="nofollow">http://news.ycombinator.com/item?id=1468341</a><p><a href="http://news.ycombinator.com/item?id=2322666" rel="nofollow">http://news.ycombinator.com/item?id=2322666</a>
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ianterrell将近 14 年前
I started a Kickstarter to create a social object against Pi!<p><a href="http://www.kickstarter.com/projects/ianterrell/say-no-to-pi" rel="nofollow">http://www.kickstarter.com/projects/ianterrell/say-no-to-pi</a>
TheOnly92将近 14 年前
If it's not broken, don't fix it. I don't see pi broken as it has been used for _centuries_. Why should we change it all of a sudden? To signify that we're into a new era? The Tau era?
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SeanLuke将近 14 年前
&#62; Not all fans of maths agree, however, and pi's rich history means it will be a difficult number to unseat.<p>This statement is never supported (the fan part). Bad BBC, bad!
scythe将近 14 年前
The Greek letter tau is already used to refer to the period of an oscillation, the time constant of a decay interval (these are intimately related), plus plenty of other stuff. There really aren't any Greek letters left that aren't used for a million things already. tau-as-time-constant is the standard use for the thing, and the confusion with torque and natural temperature is bad enough as it is.<p>Yes, pi shows up as the prime counting function, but there it's a <i>function</i>, which clears up the otherwise ambiguous notation. Furthermore these abuses of notation are generally considered a bad thing, something we try to avoid.<p>As for the intuitiveness of such deep results as Stirling's formula and the even values of the Riemann zeta: this is to concern oneself with the upholstery on the Space Shuttle.<p>If you want a new pi symbol, might I suggest the variant pi described here: <a href="http://en.wikipedia.org/wiki/Pi_%28letter%29" rel="nofollow">http://en.wikipedia.org/wiki/Pi_%28letter%29</a> -- though I'm afraid this is all a waste of time and energy.
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dkastner将近 14 年前
I forgot how awesome geometry was. Anyone know of any courses (online) that each geometry through functional languages (or maybe even vice-versa)?
Brashman将近 14 年前
Is this going to get posted every year?
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ignifero将近 14 年前
I think humanity has bigger issues than that. When are americans going to adopt the metric system?
jerrya将近 14 年前
It's Tau Day, Tau Day, Gotta get round on Tau Day
dlat将近 14 年前
ALSO: HAPPY CAPS LOCK DAY!<p><a href="http://capslockday.com/" rel="nofollow">http://capslockday.com/</a>