blather
euler's_equation
m21k
"The_greatest_equations_of_all_time"

One of the most frequently mentioned equations was Euler's equation, e^i'pi' + 1 = 0. Respondents called it "the most profound mathematical statement ever written"; "uncanny and sublime"; "filled with cosmic beauty"; and "mind-blowing". Another asked: "What could be more mystical than an imaginary number interacting with real numbers to produce nothing?" The equation contains Ten (instead of nine) basic concepts of mathematics -- once and only once -- in a single expression.
These are:
e (the base of natural logarithms);
^ (the exponent operation);
'pi'(the ratio of the circumference of a circle to its diameter);
+ (plus) or
- (minus depending on how you write it);
* (multiplication);
i (imaginary numbers);
= (equals);
1 (one); and
0 (zero).

e^i*'pi' + 1 = 0 or e^i*'pi'= - 1
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. iLink: pi 041023
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mp21k Understanding Without Proof

http://www.rattlesnake.com/notions/math-metaphor.html

The hard part of Euler's Equation is the first:

the number e raised to a power with the product of the square root of minus one and pi. What is going on here?...
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