just keep hitting "refresh."
http://www.elsewhere.org/pomo/
This is awesome. At first I thought this was real!
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just keep hitting "refresh."
http://www.elsewhere.org/pomo/
This is awesome. At first I thought this was real!
PRINCIPLE #2: For every scientist, whether researcher, technician, teacher, manager or businessman, working at any level of mathematical competence, there exists a discipline in science or medicine for which that level is enough to achieve excellence.
That one has been bouncing around in my head for a few days. It reminds of an interview of a fairly well known software developer that I was listening to a few weeks ago. He avoided programming for years because he thought it involved difficult math and he hated math. Coding can indeed require advanced mathematics depending the program's function. In many cases, except for some very basic algebra, simple logic is often what is required. Along with the logic, perseverance in troubleshooting when the program just won't compile, run or run correctly are essential to success.
These idiosyncrasies can get bottled up in the term STEMs. That is why, thankfully, people are able to get into certain "STEM" fields without a degree. They have a computer and can make it work. Other examples are out there.
BTW, does anyone really understand what e^i(pi) means? I know it equals negative one, but it pretty much blows me away.
e^i*0 = 1
e^i*pi/2 = i (pi/2 radians = 90 degrees, vertical in complex plane)
e^i*pi = -1 (pi radians = 180 degrees in complex plane)
e^i*3*pi/2 = -i (270 degrees in complex plane so purely imaginary)
My truth is the trimmed beard makes you look smarter.I was going to say that it's pretty complex
It has to do with several factors, one being that e^x is equal to its own derivative and leads to the unit circle, second being an imaginary exponent causing a rotation in the complex plane (perhaps most easily seen by Euler's equation, where e^i*x=cos x + i sin x, for proof I like the power series expansion of both sides of the equation).
The rotation forms a repeating unit circle in the complex plane.
e^i*0 = 1
e^i*pi/2 = i (pi/2 radians = 90 degrees, vertical in complex plane)
e^i*pi = -1 (pi radians = 180 degrees in complex plane)
e^i*3*pi/2 = -i (270 degrees in complex plane so purely imaginary)
Any exponent other than those four results in a complex number (e.g., e^i*pi/4 =0.707 + i0.707, which is still part of the unit circle and a distance of one from the complex plane origin).
At least, that's what it means to me but your truth might be different than mine!
(perhaps most easily seen by Euler's equation, where e^i*x=cos x + i sin x, for proof I like the power series expansion of both sides of the equation).