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MathPrinceps's profile
Laurens Gunnarsen
Laurens Gunnarsen
Laurens Gunnarsen
@MathPrinceps

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Laurens Gunnarsen

@MathPrinceps

Mathematical physicist and mentor to mathematically talented youth. Talent is that which bridges the gap between what can be taught and what must be learned.

Joined June 2012

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    1. BatteryHorse‏ @BatteryHorse 23 Dec 2018
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      BatteryHorse Retweeted John Carlos Baez

      Look what @johncarlosbaez reminds us of....for a benighted 'statistics for poets' type, these Pythagorean triples are hauntingly evocative of means (geometric), (parts of) variances, and...and...and...ugh, i just don't have the chops to see where this might go.https://twitter.com/johncarlosbaez/status/1076867441915944960 …

      BatteryHorse added,

      John Carlos Baez @johncarlosbaez
      Euclid knew a formula for "Pythagorean triples", integers with a²+b²=c². It's a=m²+n² b=2mn c=m²-n² for integers m,n. This gives all "primitive" Pythagorean triples - those that aren't multiples of others. And this creates nice patterns! (continued) pic.twitter.com/1tr5xUW3mC
      Show this thread
      1 reply 0 retweets 7 likes
    2. John Carlos Baez‏ @johncarlosbaez 23 Dec 2018
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      Replying to @BatteryHorse

      I've been thinking about "Pythagorean spinors" again, and ran into that nice picture. Briefly: a lot of fun math with spinors takes an interesting twist when you use integers instead of real numbers.

      1 reply 0 retweets 4 likes
      Laurens Gunnarsen‏ @MathPrinceps 24 Dec 2018
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      Replying to @johncarlosbaez @BatteryHorse

      One can reasonably argue that the formula for Pythagorean triples marks the first appearance in mathematical history of spinors (in this case, curiously enough, for SL(2, R), the double-cover of the 3-d Lorentz group.)

      3:46 AM - 24 Dec 2018
      0 replies 0 retweets 0 likes

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