Quote (Ylem122 @ May 6 2013 11:03pm)

is not everything in the universe a multi dimensional geometric shape? or are you being sarcastic?



such as?

Quote (AEtheric @ May 7 2013 01:09am)

wat.

When people say multi-dimensional or multiple, they mean more than three.

Quote (Ylem122 @ May 6 2013 11:55pm)

if the math your doing dosnt have a real world connection, your wasting your time.

Quote

such as?

Quote (N1ccolo @ May 7 2013 01:13am)

See number theory, non-Euclidean geometry. So much of the mathematical framework was already worked out before we needed it for cryptology and things like general relativity.

Euler's identity doesn't fit this category though, its usefulness is fully established in many real applications.

Quote (N1ccolo @ May 6 2013 11:10pm)

It means more than 1, lol.

Quote (N1ccolo @ May 6 2013 02:25pm)

This specific fact is how we know things like the integral of 1/(1 + 3(cos t)^2) and all sorts of other trigonometric integrals that are needed in particular applications, it solves differential equations (used very commonly in physics, among other areas), and is used in electric circuit analysis in the frequency domain. And, generally speaking, exponential functions are easier to calculate, so any time we can calculate those in place of trig functions, this can speed up the process, and possibly make some numerical techniques fast enough that otherwise would be too slow to be useful.

Here are most of these applications in examples:

http://math.gmu.edu/~rsachs/m116/eulerformula.pdf

Complex analysis often offers a shorter, more viable route to a solution on many problems than simpler theory.

Quote (Ylem122 @ May 7 2013 01:14am)

worked out by anchient civilizations such as the greeks and egyptions for use in real world applications?

Such as?

Quote (N1ccolo @ May 7 2013 01:15am)

this

Quote (Ylem122 @ May 7 2013 01:20am)

so its a simplification of more complex math used for real life applications.