I must have been educated in the dark ages....No one ever mentioned that in
my days. Maybe I was napping.  Linda

-----Original Message-----
From: programming-boun...@forums.jsoftware.com
[mailto:programming-bounces@forums  .jsoftware.com] On Behalf Of Bo Jacoby
Sent: Thursday, January 17, 2013 5:31 AM
To: programm...@jsoftware.com
Subject: Re: [Jprogramming] Hermitian from triangular

Linda, 

   ^._1 NB.The log of a negative number is complex
0j3.14159





>________________________________
> Fra: Linda Alvord <lindaalv...@verizon.net>
>Til: programm...@jsoftware.com
>Sendt: 11:22 torsdag den 17. januar 2013
>Emne: Re: [Jprogramming] Hermitian from triangular
> 
>Isn't the log of negative numbers indefined?
>
>This is a problem:
>
>    %1&o.+0
>_
>   %1&o.-0
>_
>  
>This is nice!
>
>   %1&o.%_
>_
>   %1&o.%__
>__
>
>
>The csc is very small for negative numbers close to zero and very large 
>for very small positive numbers.
>
>Linda
>
>-----Original Message-----
>From: programming-boun...@forums.jsoftware.com
>[mailto:programming-boun...@forums.jsoftware.com] On Behalf Of Bo 
>Jacoby
>Sennt: Thursday, January 17, 2013 3:37 AM
>To: programm...@jsoftware.com
>Subject: Re: [Jprogramming] Hermitian from triangular
>
>Henry, How is negative zero different from positive zero when taking 
>the log?
>   ^.%__ NB. log -0
>__
>   ^.%_  NB. log +0
>__
>
>
>- Bo
>
>
>>________________________________
>> Fra: Henry Rich <henryhr...@nc.rr.com>
>>Til: programm...@jsoftware.com
>>Sendt: 0:38 torsdag den 17. januar 2013
>>Emne: Re: [Jprogramming] Hermitian from triangular
>> 
>>Negative zero makes sense as a last vestige of gradual underflow; and
>anyway, it's well-behaved: it looks like 0 except when you take the 
>log, reciprocal, or square root.  In any normal computation, it goes 
>away. In contrast, NaN messes up anything it touches.
>>
>>I think we've had negative 0 in J forever.  If NaN is a data virus, -0 
>>is a
>virus that has been inserted into our DNA.
>>
>>Henry Rich
>>
>>On 1/16/2013 4:45 PM, Raul Miller wrote:
>>> On Wed, Jan 16, 2013 at 4:35 PM, Henry Rich <henryhr...@nc.rr.com>
wrote:
>>>> Negative zero isn't a bug, it's a feature that numerical types, 
>>>> especially William Kahan, wanted to get into IEEE-754 to help out 
>>>> some things.  I'm not expert enough to explain.
>>> 
>>> Something similar could be said about NaN.
>>> 
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