... so were those explicit verbs that Raul and I developed from Ric’s pmt 
irrelevant? Raul gave application-relevant names such as principal, to 
intermediate results, in a fully “explicated” form,  while I was less 
ambitious,  assigning a what-it-does name,  incrtot for (1+r)^t  .

I just don’t understand what you want, Linda. Perhaps you’re a Socrates, posing 
questions for our enlightenment...

Platonic greetings,

Mike

Sent from my iPad

> On 12 Sep 2018, at 03:45, Linda Alvord <[email protected]> wrote:
> 
> Jim,
> I just translated that old pmt into an explicit version which contains y and 
> is monadic. As you learn the J vocabulary this will become readable. J is 
> executed from right to left so start from  1{y.
> 
> PMT=: 13 :'(2}y)*((0{y) % 1200) * ((1 + (0{y) % 1200) ^ 1{y) % ((1 + (0{y) % 
> 1200) ^ 1{y) - 1' 
> 
>   A=:5.75 240 12500   
>   PMT A
> 87.7604
> 
> If it can,  13 : will reply in J's tacit language. PMT returns a tacit 
> response.
> 
> 
> 2} * (1200 %~ 0 { ]) * ((1 + 1200 %~ 0 { ]) ^ 1 { ]) % 1 -~ (1 + 1200 %~ 0 { 
> ]) ^ 1 { ]
> 
> 
> Notice  %~ , it shows you that your explicit order could be improved. Now, 
> chop it into words. This is "J speak"
> 
>   ;:'2} * (1200 %~ 0 { ]) * ((1 + 1200 %~ 0 { ]) ^ 1 { ]) % 1 -~ (1 + 1200 %~ 
> 0 { ]) ^ 1 { ]'
> ┌─┬─┬─┬─┬────┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┬────┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┬────┬─┬─┬─┬─┬─┬─┬─┬─┬─┬─┐
> │2│}│*│(│1200│%│~│0│{│]│)│*│(│(│1│+│1200│%│~│0│{│]│)│^│1│{│]│)│%│1│-│~│(│1│+│1200│%│~│0│{│]│)│^│1│{│]│
> └─┴─┴─┴─┴────┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴────┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴────┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┘
> If you work on a laptop you could read all this much better. As you study it 
> from right to left you will be able to tell where y belongs. Try this on a 
> dyadic function to see some differences.
> 
> Linda   
> 
> -----Original Message-----
> From: Programming <[email protected]> On Behalf Of 
> 'Jim Russell' via Programming
> Sent: Tuesday, September 11, 2018 4:04 PM
> To: [email protected]
> Subject: Re: [Jprogramming] [Jpr
> 
> I for one would love to see that (a clear description of how 13 :  converts 
> explicit expressions to tacit) but I can’t promise that I would understand 
> it. 
> 
>> On Sep 11, 2018, at 1:05 PM, Raul Miller <[email protected]> wrote:
>> 
>> a clear description of how 13 :  converts explicit expressions to tacit.
> 
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