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Sum over random number?

ChiaWei Tu
Posted 8 years ago

Total[Table[E^(I 2 [Pi] RandomReal[]), 10000]]

Hi, I wrote this code to generate a series of complex number, e^i2??, and ? is between 0 to 1. Then, I sum them up. I expect the result should be very close to zero, but the value calculation giving me is a little large around +- 100.

Is my idea wrong?

Thanks
POSTED BY: ChiaWei Tu
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Hello,

this is the Mean, not the total, which should convege to zero (Weyl's criterion).

Claude
POSTED BY: Claude Mante
ChiaWei Tu
ChiaWei Tu
Posted 8 years ago

You are right. My series is not converged. I know where the problem is now.
POSTED BY: ChiaWei Tu

You can think of it as doing a random walk in the complex plane with unit steps and random directions every step. Doesn't mean you always end up where you started.
POSTED BY: Kay Herbert
ChiaWei Tu
ChiaWei Tu
Posted 8 years ago

This is a good point of view. Thx.
POSTED BY: ChiaWei Tu
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