cdb380e3-f29a-4bd7-aa24-367dbb315cb5 17 6 9 decimal

&[DATE] &[TIME] - &[FILENAME]

n a x f x a j 1 -^1 x - / (j 1 k product (k 1 n 1 + sum * :

1 1 x f 2 1 x f 3 1 x f 3 1 sys

n 3 : analyse for 'n' functions ≡

Smath 5346

The companion codes: Smath/Maple C collect over length 'n' ... ... wrt parameter 'a' j 1 n range f j el j a x f : for ct 1 : numden is Smath built-in i 1 f rows range ND ct el f i el numden : Coeff ct el ND i el 1 el x coeff maple : ct ct 1 + : 31 line for ND Coeff 21 mat 71 line :

a x NumDen C 1 el : x 1 x - a + (* 1 x - (2^21 mat x 1 x - a + (1 x - (* a 3^+ (* 1 x - (3^21 mat x 1 x - a + (1 x - (* a 3^+ (1 x - (* a 6^+ (* 1 x - (4^21 mat 31 mat

a x coeff C 2 el : 1 a + 1 a 1 a 2^+ (* + 1 a 1 a 2^1 a 3^+ (* + (* + 31 mat

a 0.5 :

1 a x f 2 a x f 3 a x f 3 1 sys

a # :

a a Clear : 1

a :

1 a x f 2 a x f 3 a x f 3 1 sys

In Mathcad, undefined would evaporate 'a'. If more paramaters were previously used, undefining all individually would render the symbolic "virgin" for expansion. That was Mathcad 11 and earlier versions, at least back to Mathcad 8 Pro. Alike evaporating parameters, Mathcad evaporates a function, f(x):= past undefining f(x):= 'f' can be re-used.

a 1 :

1 a x f 2 a x f 3 a x f 3 1 sys

algo names are re-usable x f x ln :

Auto-clear:Not needed,
just assign RHS n a x f :

x f