Wednesday, January 6, 2016

Article about 1 (on January 1)

I saw this quite fascinating article about 1 on January 1. http://www.forbes.com/sites/kevinknudson/2016/01/01/the-ubiquity-and-utility-of-the-number-1/.

Are you convinced yet? 0.9999... (infinitely many 9's) IS 1. Not getting close to, but IS 1.

The ratio sin(θ)/θ tends to 1 as θ goes to 0. The author is avoiding the typographical difficulty of the limit notation... Yes you have seen that in calculus and this thing is quite useful because it helps proving the derivative of sine is cosine...

Yes! I remember the clever trick needed to do the integral of secant x.

People will go to great depth to solve problems such as integrating things. In real life do you need? Probably not. But it is accomplishment to able to integrate that.

One can probably say a ton more about the number 1. Ok let me just add 1 thing. This is only (positive integer) number that is neither prime nor composite!

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