The Nazi Superweapon

Dec 04, 2003 18:48

A negative square cannot exist. Only existing in theory, it must be written positive and noted so by attaching its broken-down form with a symbol known as i. Let's assume that i is not a variable, but a number modifier that works in a series. i on its own does nothing but exist in the quation. However, i² equates to -1, which will affect the number ( Read more... )

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Comments 4

tenno December 4 2003, 15:37:50 UTC
they needed something to replace the negative i guess.

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tarsus4 December 4 2003, 15:59:42 UTC
They're imaginary because (in physics at least) you never see i in an expression that represents a physical quantity. It wouldn't mean anything. 5+6i kilograms? Meaningless. However, i is used all the time in wave equations (i've seen it independently in my Quantum and E&M classes) if only because it makes the math easier (you can compress two equations on one axis into one equation on two axes).

It also helps see they're usefulness when you know Euler's identity: e^(i*omega*t) = cos(omega*t) + i*sin(omega*t), so if omega is imaginary it would represent oscillation and if omega is real it would represent damping. Complex omegas would represent a combination of the two. That's boatloads useful when solving differential wave equations (Schroedinger's equation, Maxwell's equations in freespace, Kirchoff's rules applied to complex impedences, etc.)

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zerepreivaj December 4 2003, 17:07:39 UTC
What I smirk at is the fact that I knew you'd be the one to answer my rhetorical and angry question. ^^;

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ruesen December 4 2003, 16:47:44 UTC
I just pure hate math, and I had to learn about those fucking imaginary numbers last year and it sucked.

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