Полином на промежутке [0.4;0.8].
Наиболее подходит полином 17 степени. Коэффициенты полиномов:
|
P16 |
P17 |
P18 |
C0 |
-6.64015E+004 |
5.14986E+004 |
2.23889E+004 |
C1 |
8.13037E+005 |
-6.99984E+005 |
-2.95757E+005 |
C2 |
-4.11719E+006 |
3.95347E+006 |
1.56649E+006 |
C3 |
1.09537E+007 |
-1.21434E+007 |
-4.29403E+006 |
C4 |
-1.69198E+007 |
2.29453E+007 |
6.64128E+006 |
C5 |
2.22045E+007 |
-3.20947E+007 |
-6.62067E+006 |
C6 |
-4.68706E+007 |
4.74014E+007 |
8.01504E+006 |
C7 |
8.85779E+007 |
-7.80208E+007 |
-1.72542E+007 |
C8 |
-9.39559E+007 |
9.91023E+007 |
2.86725E+007 |
C9 |
8.44202E+007 |
-7.60914E+007 |
-1.91030E+007 |
C10 |
-1.25013E+008 |
4.43688E+007 |
-5.25793E+006 |
C11 |
5.26529E+007 |
-6.60004E+007 |
-1.57571E+007 |
C12 |
2.19641E+008 |
7.32110E+007 |
4.98583E+007 |
C13 |
-2.97719E+008 |
1.09716E+007 |
1.68810E+007 |
C14 |
3.38312E+007 |
-3.10814E+007 |
-7.83544E+007 |
C15 |
1.29807E+008 |
-9.17490E+007 |
-6.66300E+006 |
C16 |
-5.82941E+007 |
1.36889E+008 |
7.38599E+007 |
C17 |
- |
-5.10881E+007 |
-2.84054E+007 |
C18 |
- |
- |
-3.59373E+006 |
|
3.84565E+000 |
6.88527E-001 |
8.98674E-001 |
xi |
yi |
Pn(xi) |
|yi-Pn(xi)| |
0.40000 |
17.65671 |
17.65132 |
0.00539 |
0.41000 |
18.25591 |
18.26246 |
0.00655 |
0.42000 |
18.07693 |
18.07769 |
0.00076 |
0.43000 |
17.17629 |
17.18555 |
0.00926 |
0.44000 |
15.75811 |
15.75439 |
0.00372 |
0.45000 |
14.00526 |
14.00144 |
0.00381 |
0.46000 |
12.10008 |
12.09791 |
0.00217 |
0.47000 |
10.22652 |
10.21970 |
0.00681 |
0.48000 |
8.54494 |
8.54367 |
0.00127 |
0.49000 |
7.18080 |
7.18878 |
0.00798 |
Отклонение меньше ε, это допустимо.
Рис. 4. График полинома на промежутке [0.4;0.8].
Полином на промежутке [0.8;1.2].
Наиболее подходит полином 21 степени. Коэффициенты полиномов:
|
P20 |
P21 |
P22 |
C0 |
2.89767E+004 |
8.24349E+004 |
-3.52885E+005 |
C1 |
-1.03310E+005 |
-3.55692E+005 |
1.59461E+006 |
C2 |
7.09932E+004 |
4.25218E+005 |
-2.16742E+006 |
C3 |
6.85530E+004 |
1.07748E+005 |
-1.03844E+004 |
C4 |
1.55525E+004 |
-3.94370E+005 |
1.94768E+006 |
C5 |
-6.48929E+004 |
1.79247E+004 |
-1.03303E+006 |
C6 |
-2.43584E+005 |
2.75570E+002 |
4.31051E+005 |
C7 |
2.39009E+005 |
1.35159E+005 |
-3.78360E+005 |
C8 |
9.91374E+003 |
1.49914E+005 |
-3.05583E+005 |
C9 |
1.24803E+005 |
-1.40172E+005 |
-3.78512E+005 |
C10 |
-1.13617E+005 |
-2.50111E+004 |
6.34218E+005 |
C11 |
-9.44518E+004 |
-4.93177E+004 |
4.13838E+005 |
C12 |
4.23297E+004 |
1.79813E+004 |
-1.82056E+005 |
C13 |
-4.64994E+004 |
-1.94080E+004 |
4.54012E+004 |
C14 |
6.86731E+004 |
6.73224E+004 |
-5.52905E+005 |
C15 |
4.83962E+004 |
1.09365E+004 |
7.97466E+004 |
C16 |
-3.17598E+004 |
-3.07318E+004 |
3.19430E+005 |
C17 |
-1.64658E+004 |
8.23699E+003 |
-1.25646E+005 |
C18 |
-4.04301E+004 |
-2.55931E+003 |
3.71183E+004 |
C19 |
5.24543E+004 |
-3.38725E+004 |
6.49813E+004 |
C20 |
-1.46338E+004 |
3.96130E+004 |
-1.41097E+005 |
C21 |
- |
-1.16199E+004 |
6.77380E+004 |
C22 |
- |
- |
-7.92788E+003 |
|
9.15632E-003 |
6.46926E-003 |
2.23124E+000 |
xi |
yi |
Pn(xi) |
|yi-Pn(xi)| |
0.80000 |
10.34849 |
10.33989 |
0.00860 |
0.81000 |
10.53135 |
10.53236 |
0.00101 |
0.82000 |
10.62904 |
10.63745 |
0.00841 |
0.83000 |
10.66952 |
10.67503 |
0.00551 |
0.84000 |
10.64683 |
10.64425 |
0.00258 |
0.85000 |
10.57010 |
10.56327 |
0.00684 |
0.86000 |
10.45217 |
10.44898 |
0.00319 |
0.87000 |
10.29799 |
10.29675 |
0.00124 |
0.88000 |
10.15317 |
10.15018 |
0.00299 |
0.89000 |
10.00244 |
10.00082 |
0.00162 |
Отклонение меньше ε, это допустимо.
Рис. 5. График полинома на промежутке [0.8;1.2].