Wait a minute . . I think I got it:
on mouseUp
put 0 into m
repeat 3 --(or any number)
get fld "genFctn"
put it&"+" after field "explFctn"
replace n with m in fld "explFctn"
add 1 to m
end repeat
delete last char of fld "explFctn"
end mouseUp
Roger
> On Dec 27, 2018, at 11:31 AM, Roger Guay via use-livecode
> <[email protected]> wrote:
>
> You are so clever, Herman! Yes, the idea is to write it out into a field.
>
> This is great for the Taylor series, but how would one generalize this so
> that we could expand any fctn of x and n in the “genFctn” field into the
> “expandedFctn” field
>
> Sorry to take up so much of your time.
>
> Thanks,
>
> Roger
>
>> On Dec 27, 2018, at 11:02 AM, hh via use-livecode
>> <[email protected]> wrote:
>>
>> You don't want to compute it but want to write it out into a field?
>>
>> on mouseUp
>> put taylorsum(4,"x") into fld "OUT"
>> end mouseUp
>>
>> function taylorsum n,x -- n is the degree, x the function argument
>> put "1" into s -- or: put x &"^0/0!" into s
>> repeat with i=1 to n
>> put " + " & x &"^"& i &"/"& i &"!" after s
>> end repeat
>> return char 1 to -1 of s
>> end taylorsum
>>
>> taylorsum(4,"x") yields --> 1 + x^1/1! + x^2/2! + x^3/3! + x^4/4!
>> taylorsum(4,"2") yields --> 1 + 2^1/1! + 2^2/2! + 2^3/3! + 2^4/4!
>>
>>
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