Hi Young Chun,

Welcome to Julia! Like Jeffrey, I think your question was a good one and 
the outcome is even better.

I don't know how others feel, but as an "oldie", it is super encouraging to 
me that:

   1. People can even ask questions like this
   2. Julia provides a highly satisfactory solution

When I was a kid, we had to walk uphill to in the snow to school both ways 
and we could not ask such questions. Even if we could ask, the answer would 
be less than satisfactory. The possibilities the young scientists today are 
provided is tremendous and I look forward to seeing what you and others 
come up with.

Out of curiosity, is anyone using Julia for fast polynomial approximations 
such as fast-multipole methods in gravitation/electromagnetics? This kind 
of fast auto-differentiation seems perfectly suited for these large-scale 
problems.

Cheers!
Eric

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