@Bo

Went step by step through that biquadratic function ...
and understoodits components.
Was totally unaware of that formula (shame on me);
could you cite a source, that sounds like an interesting book..?

-M

At 2018-09-04 12:24, you wrote:


   ([: %&4 [: %: *:@:(+/@:^)&2 - +:@:(+/@:^)&4)  3 4 5




As the square of the area of a triangle is a symmetric polynomial of the squares of the sides, the above tacit code also works. Den tirsdag den 4. september 2018 13.51.07 CEST skrev Martin Kreuzer <i...@airkreuzer.com>:

 Hi all -

To calculate the area of a flat triangle, using Heron's formula,
A(a,b,c)= sqrt( s2*(s2-a)*(s2-b)*(s2-c) )
I wrote a simple function doing this:

* get the three sides (as list input y)
* compute the half  perimeter s2
* build the differences s2-y
* build product
* take square root

My explicit solution looks like this

taher=: 13 : '%: s2 * */ s2-y [ s2=. -: +/ y'

and works

    taher 3 4 5


Suggested tacit version looks like this (and works too)

tahert=: [: %: ([: -: +/) * [: */ ([: -: +/) - ]

Q: Is there a way to reference the intermediate result of ([: -: +/)
the half perimeter s2
within the tacit expression, as has been done in the explicit..?
[Guess the interpreter takes care of this anyway; my question aims at
whether a shorter formulation could be reached.]

Thanks
-M

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