888e8bca-ebe7-41d5-9d3a-3439f5ecbb08 26 6 9 decimal

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

V n place n  decimals in V i 1 V rows range r i el V i el n round : for r 31 line :

Technique to J_frac

In this example, original "K" will expand in J_Frac. But the fraction coeficients are too large to be equated decimal. If we expand

x expr K X x Cfr confrac x convert maple ≡

We can further expand in one convenient default floating fraction [apparently 9 decimals]. In the reconstruction, we conserve 6 decimals.

x collect K X x Cfr confrac x convert evalf maple ≡

j 9 :

π float 15 convert maple 3.141592654

2 sqrt float 5 convert maple 1.414213562

The command convert(f(x),float,n) does not float an expression containing a variable

Optimiz = NONE K X x Cfr N j 1 + el K j 1 + el x X j 1 + el - K j 2 + el / + : c j el N j 1 + el : a j el K j el x X j el - c j el / + : jj j 1 - (1 range c jj el a jj 1 + el : a jj el K jj el x X jj el - c jj el / + : 21 line for a 1 el 51 line :

XY 6.256 - 42.9883 6.171 - 0.031436 - 5.873 - 8.430462 - 5.315 - 0.224723 - 2.741 - 13.914252 - 1.435 - 2.35327 - 1.068 1.901857 - 5.341 1.371714 - 11.013 6.086659 - 16.095 17.443239 18.218 0.478252 112 mat :

X XY 1 col :

K XY 2 col :

j K rows 2 - :

job done x C ≡ x J ≡

x C x K X x Cfr * :

Symbolic fractions equated to 6 decimals x J x 13.133322 257.224898 x 22.485644 + 22.009932 x 9.692636 + 0.545694 x 15.185886 - 124.754271 x 9.201584 + 4.744652 x 4.753198 + / - / + / + / - / + (* :

Thiele recovered

0 6.256 - x ≤ ( x 18.218 ≤ ( & x C out fixed points if 6.256 - x ≤ ( x 18.218 ≤ ( & x J out fixed points if 3 1 sys

0 6.256 - x ≤ (x 18.218 ≤ (& x C out fixed points if 6.256 - x ≤ (x 18.218 ≤ (& x J out fixed points if 31 sys

Define Symbolic ... Optimiz = NONE x collect K X x Cfr confrac x convert evalf maple :

Expand Symbolic ... Optimiz = NONE x collect 6566661500000 / 160765561625000 / (x 562141092500000 / + (2200993173100000000 / (x 60578977962500000 / + 27284706775000000000 / (x 37964715925000000 / - 1559428391250000 / (x 4600792163500000000 / + (47446516071000000000 / (x 29707486762500000 / + (/ - (/ + (/ + (/ - (/ +