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Strategies & Market Trends : Galapagos Islands

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To: Techplayer who wrote (16805)12/21/2002 1:38:00 PM
From: Lazarus_Long  Read Replies (3) of 57110
 
LOL!! I'll plug all 2 million digits into my calculator now! :-)

You had to have come across e; you must have forgotten. It is more common in mathematics than pi, actually. And in mathematical solutions to physical and engineering problems.

It is the basis for natural logarithms: y = ln(x).

It's name comes from (e)xponential decay. y = a*e^-bt. A very common phenomenon, of course.

It connects into the trigonometric functions through Euler's relation:

e^ix = cox(x) + i*sin(x), i = sqrt(-1), of course.

Because of that,

cos(x) = (e^ix + e^-ix)/2

and

sin(x) = (e^ix - e^-ix)/2i

Another well-known relation from calculus:
d
__e^x = e^x
dx

which says e^x is its own derivative.

More on e:
mathcad.com
mathworld.wolfram.com
numbers.computation.free.fr
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