I didn't think of Signum!  Thanks, Roger.

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On May 26, 2013, at 11:56 PM, Roger Hui <[email protected]> wrote:

> clean=: (* |@*)&.+.
> 
> Eugene McDonnell objected when we made *x to be 0 for x near 0, saying that
> *x should be 0 only if x is 0.
> 
> 
> On Sun, May 26, 2013 at 9:32 PM, km <[email protected]> wrote:
> 
>> Let's say a real number "ought to be zero" if its absolute value is <: the
>> comparison tolerance 2^_44 .  Write a verb "clean" that replaces real
>> numbers that ought to be zero with zero.  How would you clean a complex
>> number?
>> 
>>    1 o. 1r2p1 * i. 5
>> 0 1 1.22465e_16 _1 _2.44929e_16
>>    clean 1 o. 1r2p1 * i. 5
>> 0 1 0 _1 0
>> 
>>    ^ 0j1 * 1r2p1 * i. 5
>> 1 6.12323e_17j1 _1j1.22465e_16 _1.83697e_16j_1 1j_2.44929e_16
>>    clean ^ 0j1 * 1r2p1 * i. 5
>> 1 0j1 _1 0j_1 1
>> 
>> --Kip Murray
>> 
>> Sent from my iPad
>> 
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