Thanks Elias:

David used theta as well. Is that also an available symbol?
i.e. a greek letter not otherwise used by the APL language?

I will have to Google for a good intro to lambdas…
They look interesting...

respect…

Peter
On 2014-07-31, at 10:11 PM, Elias Mårtenson <loke...@gmail.com> wrote:

> Yes, you are right. Here are the available symbols:
> 
> ⍵ - Right-hand argument
> ⍺ - Left-hand argument
> ⍹ - Right-hand function (the lambda is an operator)
> ⍶ - Left-hand function (the lambda is an operator)
> χ - Index
> 
> Regards,
> Elias
> 
> 
> On 1 August 2014 10:04, Peter Teeson <peter.tee...@icloud.com> wrote:
> Thank you kind gentlemen for helping me move forward with modern APL.
> Am I correct in assuming that expressions such as {⍬≡0⍴⍵} are lambdas?
> And that the symbols theta and omega are place holders similar to X and Y in 
> a user defined function?
> (all new stuff to me BTW - but very interesting.)
> 
> respect
> 
> Peter
> 
> On 2014-07-31, at 9:51 PM, Elias Mårtenson <loke...@gmail.com> wrote:
> 
>> This is the table I have included in the Emacs mode documentation. I got the 
>> information from the ISO spec, so I hope it's correct:
>> 
>>   0   (1-R⋆2)⋆0.5
>>  ¯1   arcsin R               1   sin R
>>  ¯2   arccos R               2   cosin R
>>  ¯3   arctan R               3   tan R
>>  ¯4   (R+1)×((R-1)÷R+1)⋆0.5  4   (1+R⋆2)⋆0.5
>>  ¯5   arcsinh R              5   sinh R
>>  ¯6   arccosh R              6   cosh R
>>  ¯7   arctanh R              7   tanh R
>>  ¯8   -(¯1-R×2)⋆0.5          8   (¯1-R⋆2)⋆0.5
>>  ¯9   R                      9   Real part of R
>> ¯10   +R                    10   |R
>> ¯11   0J1×R                 11   Imaginary part of R
>> ¯12   ⋆0J1×R                12   Arc R
>> 
>> Regards,
>> Elias
>> 
>> 
>> On 1 August 2014 06:46, David B. Lamkins <dlamk...@gmail.com> wrote:
>> Reshape your datum as an empty vector then match to zilde. If the match
>> succeeds then your datum is a number; otherwise a character/string.
>> 
>> I believe that there's a circle function to extract the imaginary part
>> of a number, if any. You can test for a nonzero imaginary part.
>> 
>> Finally, you can compare a number's floor to the number itself to
>> determine whether the value is integer or real.
>> 
>> Not knowing your application, I have to warn you that you shouldn't use
>> these tests to infer anything about APL's storage. All of the numeric
>> tests are subject to quad-CT.
>> 
>> On Thu, 2014-07-31 at 15:54 -0400, Peter Teeson wrote:
>> > I feel pretty stupid.
>> > Looked in the APL2 IBM manual but do not understand how to determine the 
>> > data type of a variable.
>> > Neither the primitives nor the Quads sparked the answer in my brain.
>> > It must be something pretty obvious but not to me right now.
>> >
>> > So if I have a function FOO X how do I determine if X is character, 
>> > integer, float, or imaginary?
>> > Assuming that it is not a nested array of course.
>> >
>> > respect…
>> >
>> > Peter
>> >
>> 
>> 
>> 
>> 
> 
> 

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