User:Sbyrnes321

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Hi, I'm Steve, a graduate student in physics at Berkeley.

I count myself a member of Wikiproject Physics (see the participants list).

Here's my personal website

Contents

[edit] Boxes!

RSI This user made a miraculous recovery from RSI using the treatment method of John Sarno.
en This user is a native speaker of English.
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[edit] Images I made!

[edit] For Euler's identity

See image -->

The exponential function ez can be defined as the limit of (1+z/N)N, as N approaches infinity. Here, we take z=iπ, and take N to be various increasing values from 1 to 100. The computation of (1+iπ / N)N is displayed as N repeated multiplications in the complex plane, with the final point being the actual value of (1+iπ / N)N. As N gets larger, it can be seen that (1+iπ / N)N approaches a limit of -1. Therefore eiπ=-1.
The exponential function ez can be defined as the limit of (1+z/N)N, as N approaches infinity. Here, we take z=iπ, and take N to be various increasing values from 1 to 100. The computation of (1+iπ / N)N is displayed as N repeated multiplications in the complex plane, with the final point being the actual value of (1+iπ / N)N. As N gets larger, it can be seen that (1+iπ / N)N approaches a limit of -1. Therefore eiπ=-1.

[edit] Trivia!

This guy is my great-great-uncle!