Henry
isnotreal =. ~:~ +
This is not the definition that Lippu used. It was:
(~:+) A=:(i:2)j./i:2
I also used A ~:+ A
Can they be considered a test for whether the numbers are complex?
Linda
-----Original Message-----
From: [email protected]
[mailto:[email protected]] On Behalf Of Henry Rich
Sent: Saturday, November 29, 2014 11:23 PM
To: [email protected]
Subject: [Jprogramming] Complex puzzle WAS: Better way to locate coomplex or
real numbers in an array
Two ways of detecting complex numbers have been suggested:
iscomplex =. 0 ~: 11&o.
isnotreal =. ~:~ +
They are not equivalent.
iscomplex a
1
isnotreal a
0
What is an example for the finite number a?
Henry Rich
On 11/29/2014 10:20 PM, Linda Alvord wrote:
> \Very nice. Or, if it has a different conjugate it must be complex.
> Linda
>
> -----Original Message-----
> From: <mailto:[email protected]>
[email protected]
> [ <mailto:[email protected]>
mailto:[email protected]] On Behalf Of Lippu
> Esa
> Sent: Saturday, November 29, 2014 4:37 PM
> To: '[email protected]'
> Subject: Re: [Jprogramming] Better way to locate coomplex or real
> numbers in an array
>
> A real number equals its conjugate, so (~:+) works too:
>
> ]A=:(i:2)j./i:2
> _2j_2 _2j_1 _2 _2j1 _2j2
> _1j_2 _1j_1 _1 _1j1 _1j2
> 0j_2 0j_1 0 0j1 0j2
> 1j_2 1j_1 1 1j1 1j2
> 2j_2 2j_1 2 2j1 2j2
> (~:+) A
> 1 1 0 1 1
> 1 1 0 1 1
> 1 1 0 1 1
> 1 1 0 1 1
> 1 1 0 1 1
>
> Esa
> -----Original Message-----
> From: <mailto:[email protected]>
[email protected]
> [ <mailto:[email protected]>
mailto:[email protected]] On Behalf Of Henry
> Rich
> Sent: 29. marraskuuta 2014 05:34
> To: <mailto:[email protected]> [email protected]
> Subject: Re: [Jprogramming] Better way to locate coomplex or real
> numbers in an array
>
> ]A=:(i:2)j./i:2
> _2j_2 _2j_1 _2 _2j1 _2j2
> _1j_2 _1j_1 _1 _1j1 _1j2
> 0j_2 0j_1 0 0j1 0j2
> 1j_2 1j_1 1 1j1 1j2
> 2j_2 2j_1 2 2j1 2j2
> (0 ~: 11&o.) A
> 1 1 0 1 1
> 1 1 0 1 1
> 1 1 0 1 1
> 1 1 0 1 1
> 1 1 0 1 1
>
> Henry Rich
>
> On 11/28/2014 10:27 PM, Linda Alvord wrote:
>> A is an array of real and complex numbers. Is there an easier way to
>> locate all the complex numbers. Signum locates each numbers
>> intersection with a line from it to the origin and the circle.
>>
>>
>>
>> ]A=:(i:2)j./i:2
>>
>> _2j_2 _2j_1 _2 _2j1 _2j2
>>
>> _1j_2 _1j_1 _1 _1j1 _1j2
>>
>> 0j_2 0j_1 0 0j1 0j2
>>
>> 1j_2 1j_1 1 1j1 1j2
>>
>> 2j_2 2j_1 2 2j1 2j2
>>
>>
>>
>> *A
>>
>> _0.707107j_0.707107 _0.894427j_0.447214 _1 _0.894427j0.447214
>> _0.707107j0.707107
>>
>> _0.447214j_0.894427 _0.707107j_0.707107 _1 _0.707107j0.707107
>> _0.447214j0.894427
>>
>> 0j_1 0j_1 0 0j1 0j1
>>
>> 0.447214j_0.894427 0.707107j_0.707107 1 0.707107j0.707107
>> 0.447214j0.894427
>>
>> 0.707107j_0.707107 0.894427j_0.447214 1 0.894427j0.447214
>> 0.707107j0.707107
>>
>>
>>
>> -.(*A)e. _1 0 1
>>
>> 1 1 0 1 1
>>
>> 1 1 0 1 1
>>
>> 1 1 0 1 1
>>
>> 1 1 0 1 1
>>
>> 1 1 0 1 1
>>
>>
>>
>> I am looking for the best way to locate all the complex numbers.
>>
>>
>>
>> Linda
>>
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>>
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