OPEN THREAD 20200305

Basically, all legal free speech is allowed. We will assist the authorities in dealing with illegal speech. You are each other’s moderators. Have fun. And don’t forget to MAGA at nuclear levels.

After going through the elements, we now enjoy a sequence of RANDOM somewhat pseudo-random topics that will be thrown out for investigation and commentary on each open thread. At some point, in a way something like composite numbers, I will accidentally hit a second occurrence of one of them – that’s just normal.

Have fun!

Citizen U

(a.k.a. W on the OTHER site)

Day 120 – The number “e”

3 thoughts on “OPEN THREAD 20200305

  1. Base of the natural logarithm, and it has a number of interesting properties in calculus. For example, the derivative of the function y = e^x is y’ = e^x, the same as itself. The choice of e as the constant’s name is from the mathematician Euler.

    It can be expressed as an infinite sequence, and if given an imaginary argument, j*x, (where the imaginary unit j is defined as per j^2 = -1), then the real and the imaginary parts of the sequence will become recognizeable as the ones for the cosine and sine. Thus the famous:

    e^(j*x) = cos(x) + j * sin(x)

    beloved of radio engineers and hams and others everywhere.

    As well as the somewhat «gee-whiz» observation that e^(j*π) + 1 = 0 showing several important math constants appearing all together: e, the imaginary unit, π, the real unit, and zero.

    Liked by 1 person

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