Difference between revisions of "Tau"
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| − | '''Tau''' (<math>\tau</math>) can have | + | '''Tau''', denoted <math>\tau</math>, is most commonly used as 2<math>\pi</math> (see [[Pi]] if you are part of the minority of the AoPS community which does not know what <math>\pi</math> is). For a convincing proof that <math>\tau</math> is a better circle constant than <math>\pi</math>, see [http://www.tauday.com The Tau Manifesto] by Michael Hartl. This following section will summarize one main point of the Tau Manifesto. |
| − | *Tau is | + | |
| − | + | == Why <math>\tau</math> Is Better Than <math>\pi</math>== | |
| − | *Tau is also an | + | |
| − | + | Have you ever been in geometry class and been asked to graph sine waves with their ridiculous extra factor of 2 in the x-axis? Have you ever thought radian angle measure was hopelessly tainted with the superfluous and yet unavoidable factor of 2 (There are '''''2'''''<math>\pi</math> radians in a full revolution)? <math>\tau</math> resolves that. One <math>\tau</math> is one revolution. Simple as that. While you have to remember that <math>\frac{\pi}{8}</math> radians is '''NOT''' <math>\frac{1}{8}</math> of a revolution, but is equal to <math>\frac{1}{16}</math> of a revolution because of that idiosyncratic factor of 2, <math>\frac{\tau}{8}</math> radians is just <math>\frac{1}{8}</math> of a revolution. Likewise, <math>\frac{\tau}{3}</math> radians is just <math>\frac{1}{3}</math> of a revolution, <math>9001\tau</math> radians is just 9001 revolutions, <math>123456789\tau</math> radians is just 123456789 revolutions, and <math>x\tau</math> radians is <math>x</math> revolutions for any real <math>x</math>. | |
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| + | ==Other Uses of Tau== | ||
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| + | <math>\tau</math> can have other meanings: | ||
| + | *Tau is the 19th letter of the Greek alphabet. | ||
| + | *Tau is also an uncommon name for [[Phi]]. | ||
Revision as of 00:01, 27 June 2013
Tau, denoted 
, is most commonly used as 2
(see Pi if you are part of the minority of the AoPS community which does not know what is). For a convincing proof that is a better circle constant than , see The Tau Manifesto by Michael Hartl. This following section will summarize one main point of the Tau Manifesto.
Why 
Is Better Than 
Have you ever been in geometry class and been asked to graph sine waves with their ridiculous extra factor of 2 in the x-axis? Have you ever thought radian angle measure was hopelessly tainted with the superfluous and yet unavoidable factor of 2 (There are 2 radians in a full revolution)? resolves that. One is one revolution. Simple as that. While you have to remember that 
radians is NOT 
of a revolution, but is equal to 
of a revolution because of that idiosyncratic factor of 2, 
radians is just of a revolution. Likewise, 
radians is just 
of a revolution, 
radians is just 9001 revolutions, 
radians is just 123456789 revolutions, and 
radians is 
revolutions for any real .
Other Uses of Tau
can have other meanings:
- Tau is the 19th letter of the Greek alphabet.
- Tau is also an uncommon name for Phi.
