Интерполяционные формулы для равноотстоящих узлов

 

Если значения функции заданы в точках с постоянным положительным шагом, то часто используется интерполяционный многочлен Ньютона для интерполяции вперед

, (1.10)

где , а конечные разности , носящие названия нисходящих разностей, находят из соотношений

 

,

.

Интерполяционный многочлен (1.10) удобно использовать при работе в начале таблицы значений функции и для экстраполяции левее точки .

Интерполяционный многочлен с узлами где , имеет вид

(1.11)

и называется интерполяционным многочленом Ньютона для интерполяции назад. Его удобно использовать при интерполяции в конце таблицы и для экстраполяции правее точки . Входящие в выражение (1.11) значения конечных восходящих разностей находят из соотношений

,

..............................................

.

Если при заданном в таблице значений функции с шагом имеется достаточное число узлов с каждой стороны от , то целесообразно узлы интерполяции выбрать так, чтобы точка оказалась как можно ближе к середине минимального отрезка, содержащего узлы. При этом обычно в качестве берется ближайший к узел, затем за принимается ближайший к узел, расположенный с противоположной от стороны, чем . Следующие узлы назначаются поочередно с разных сторон от и должны быть расположены как можно ближе к . Одной из возможных схем интерполяции в этом случае является схема Стирлинга с интерполяционным многочленом вида

 

В этом выражении учитывается, что дано нечетное число значений функции , где . Обычно эту формулу целесообразно использовать при .

 

 

Лабораторная работа № 10

 

В соответствии с заданием, полученным от преподавателя, студентам необходимо разработать программу, обеспечивающую вычисление значения функции в заданных точках с использованием подходящих для каждого конкретного случая интерполяционных формул.

Вариант 2 x1 = 1.5380; x2 = 1.6970; x3 = 1.3350 X[ 0] = 0.2620 Y[ 0] = -0.1810 X[ 1] = 0.4190 Y[ 1] = -0.0450 X[ 2] = 0.5770 Y[ 2] = 0.0100 X[ 3] = 0.7340 Y[ 3] = 0.0090 X[ 4] = 0.8920 Y[ 4] = -0.0260 X[ 5] = 1.0490 Y[ 5] = -0.0720 X[ 6] = 1.2070 Y[ 6] = -0.1050 X[ 7] = 1.3640 Y[ 7] = -0.1020 X[ 8] = 1.5220 Y[ 8] = -0.0380 X[ 9] = 1.6790 Y[ 9] = 0.1060 X[10] = 1.8370 Y[10] = 0.3600

Используя подходящую интерполяционную формулу, вычислите в точках x 1, x 2, x 3 значения функции, заданной таблицей, для узлов с равноотстоящим шагом.

Вариант 1 x1 = 1.2120; x2 = 1.4790; x3 = 1.0150 X[ 0] = 0.2560 Y[ 0] = -0.1680 X[ 1] = 0.4090 Y[ 1] = -0.0420 X[ 2] = 0.5630 Y[ 2] = 0.0100 X[ 3] = 0.7170 Y[ 3] = 0.0080 X[ 4] = 0.8710 Y[ 4] = -0.0240 X[ 5] = 1.0240 Y[ 5] = -0.0670 X[ 6] = 1.1780 Y[ 6] = -0.0970 X[ 7] = 1.3320 Y[ 7] = -0.0940 X[ 8] = 1.4860 Y[ 8] = -0.0350 X[ 9] = 1.6390 Y[ 9] = 0.0990 X[10] = 1.7930 Y[10] = 0.3350

 

 

Вариант 3 x1 = 0.8110; x2=0.3770; x3=1.5480 X[ 0] = 0.2680 Y[ 0] = -0.1950 X[ 1] = 0.4290 Y[ 1] = -0.0480 X[ 2] = 0.5910 Y[ 2] = 0.0110 X[ 3] = 0.7520 Y[ 3] = 0.0100 X[ 4] = 0.9130 Y[ 4] = -0.0280 X[ 5] = 1.0740 Y[ 5] = -0.0770 X[ 6] = 1.2360 Y[ 6] = -0.1130 X[ 7] = 1.3970 Y[ 7] = -0.1090 X[ 8] = 1.5580 Y[ 8] = -0.0410 X[ 9] = 1.7190 Y[ 9] = 0.1140 X[10] = 1.8810 Y[10] = 0.3870 Вариант 4 x1 = 1.2230; x2=1.6830; x3=1.7640 X[ 0] = 0.2740 Y[ 0] = -0.2090 X[ 1] = 0.4390 Y[ 1] = -0.0510 X[ 2] = 0.6040 Y[ 2] = 0.0120 X[ 3] = 0.7690 Y[ 3] = 0.0100 X[ 4] = 0.9340 Y[ 4] = -0.0290 X[ 5] = 1.0990 Y[ 5] = -0.0820 X[ 6] = 1.2640 Y[ 6] = -0.1200 X[ 7] = 1.4290 Y[ 7] = -0.1170 X[ 8] = 1.5940 Y[ 8] = -0.0440 X[ 9] = 1.7590 Y[ 9] = 0.1230 X[10] = 1.9240 Y[10] = 0.4130 Вариант 6 x1 = 1.0980; x2 = 1.8770; x3 = 1.5130 X[ 0] = 0.2870 Y[ 0] = -0.2380 X[ 1] = 0.4590 Y[ 1] = -0.0590 X[ 2] = 0.6320 Y[ 2] = 0.0140 X[ 3] = 0.8040 Y[ 3] = 0.0120 X[ 4] = 0.9770 Y[ 4] = -0.0340 X[ 5] = 1.1490 Y[ 5] = -0.0940 X[ 6] = 1.3220 Y[ 6] = -0.1380 X[ 7] = 1.4940 Y[ 7] = -0.1340 X[ 8] = 1.6670 Y[ 8] = -0.0500 X[ 9] = 1.8390 Y[ 9] = 0.1400 X[10] = 2.0120 Y[10] = 0.4740 Вариант 7 x1 = 1.4980; x2 = 0.4120; x3 = 1.6840 X[ 0] = 0.2930 Y[ 0] = -0.2540 X[ 1] = 0.4690 Y[ 1] = -0.0630 X[ 2] = 0.6460 Y[ 2] = 0.0150 X[ 3] = 0.8220 Y[ 3] = 0.0130 X[ 4] = 0.9980 Y[ 4] = -0.0360 X[ 5] = 1.1740 Y[ 5] = -0.1010 X[ 6] = 1.3510 Y[ 6] = -0.1470 X[ 7] = 1.5270 Y[ 7] = -0.1420 X[ 8] = 1.7030 Y[ 8] = -0.0540 X[ 9] = 1.8790 Y[ 9] = 0.1500 X[10] = 2.0560 Y[10] = 0.5060 Вариант 8 x1 = 1.4870; x2 = 0.5090; x3 = 1.4530 X[ 0] = 0.2990 Y[ 0] = -0.2710 X[ 1] = 0.4790 Y[ 1] = -0.0670 X[ 2] = 0.6590 Y[ 2] = 0.0160 X[ 3] = 0.8390 Y[ 3] = 0.0140 X[ 4] = 1.0190 Y[ 4] = -0.0380 X[ 5] = 1.1990 Y[ 5] = -0.1070 X[ 6] = 1.3790 Y[ 6] = -0.1570 X[ 7] = 1.5590 Y[ 7] = -0.1520 X[ 8] = 1.7390 Y[ 8] = -0.0580 X[ 9] = 1.9190 Y[ 9] = 0.1590 X[10] = 2.0990 Y[10] = 0.5370

 

Вариант 5 x1 = 1.2510; x2 = 1.1700; x3 = 1.0870 X[ 0] = 0.2810 Y[ 0] = -0.2220 X[ 1] = 0.4490 Y[ 1] = -0.0550 X[ 2] = 0.6180 Y[ 2] = 0.0130 X[ 3] = 0.7870 Y[ 3] = 0.0110 X[ 4] = 0.9560 Y[ 4] = -0.0320 X[ 5] = 1.1240 Y[ 5] = -0.0880 X[ 6] = 1.2930 Y[ 6] = -0.1290 X[ 7] = 1.4620 Y[ 7] = -0.1250 X[ 8] = 1.6310 Y[ 8] = -0.0470 X[ 9] = 1.7990 Y[ 9] = 0.1310 X[10] = 1.9680 Y[10] = 0.4430

 

Вариант 9 x1 = 1.0530; x2 = 0.4450; x3 = 1.1550 X[ 0] = 0.3060 Y[ 0] = -0.2870 X[ 1] = 0.4890 Y[ 1] = -0.0710 X[ 2] = 0.6730 Y[ 2] = 0.0170 X[ 3] = 0.8570 Y[ 3] = 0.0140 X[ 4] = 1.0410 Y[ 4] = -0.0410 X[ 5] = 1.2240 Y[ 5] = -0.1140 X[ 6] = 1.4080 Y[ 6] = -0.1670 X[ 7] = 1.5920 Y[ 7] = -0.1610 X[ 8] = 1.7760 Y[ 8] = -0.0610 X[ 9] = 1.9590 Y[ 9] = 0.1700 X[10] = 2.1430 Y[10] = 0.5720 Вариант 11 x1 = 1.1600; x2 = 2.1660; x3 = 1.4620 X[ 0] = 0.3180 Y[ 0] = -0.3250 X[ 1] = 0.5090 Y[ 1] = -0.0800 X[ 2] = 0.7010 Y[ 2] = 0.0190 X[ 3] = 0.8920 Y[ 3] = 0.0160 X[ 4] = 1.0830 Y[ 4] = -0.0460 X[ 5] = 1.2740 Y[ 5] = -0.1290 X[ 6] = 1.4660 Y[ 6] = -0.1880 X[ 7] = 1.6570 Y[ 7] = -0.1820 X[ 8] = 1.8480 Y[ 8] = -0.0690 X[ 9] = 2.0390 Y[ 9] = 0.1910 X[10] = 2.2310 Y[10] = 0.6460 Вариант 10 x1 = 1.3020; x2 = 1.5690; x3 = 1.8350 X[ 0] = 0.3120 Y[ 0] = -0.3060 X[ 1] = 0.4990 Y[ 1] = -0.0760 X[ 2] = 0.6870 Y[ 2] = 0.0180 X[ 3] = 0.8740 Y[ 3] = 0.0150 X[ 4] = 1.0620 Y[ 4] = -0.0440 X[ 5] = 1.2490 Y[ 5] = -0.1210 X[ 6] = 1.4370 Y[ 6] = -0.1770 X[ 7] = 1.6240 Y[ 7] = -0.1720 X[ 8] = 1.8120 Y[ 8] = -0.0650 X[ 9] = 1.9990 Y[ 9] = 0.1800 X[10] = 2.1870 Y[10] = 0.6080 Вариант 13 x1 = 0.6190; x2 = 1.3990; x3 = 1.1000 X[ 0] = 0.3310 Y[ 0] = -0.3630 X[ 1] = 0.5290 Y[ 1] = -0.0900 X[ 2] = 0.7280 Y[ 2] = 0.0210 X[ 3] = 0.9270 Y[ 3] = 0.0180 X[ 4] = 1.1260 Y[ 4] = -0.0520 X[ 5] = 1.3240 Y[ 5] = -0.1440 X[ 6] = 1.5230 Y[ 6] = -0.2110 X[ 7] = 1.7220 Y[ 7] = -0.2040 X[ 8] = 1.9210 Y[ 8] = -0.0770 X[ 9] = 2.1190 Y[ 9] = 0.2150 X[10] = 2.3180 Y[10] = 0.7240 Вариант 14 x1 = 1.6510; x2 = 1.3870; x3 = 2.2260 X[ 0] = 0.3370 Y[ 0] = -0.3850 X[ 1] = 0.5390 Y[ 1] = -0.0950 X[ 2] = 0.7420 Y[ 2] = 0.0230 X[ 3] = 0.9440 Y[ 3] = 0.0190 X[ 4] = 1.1470 Y[ 4] = -0.0550 X[ 5] = 1.3490 Y[ 5] = -0.1530 X[ 6] = 1.5520 Y[ 6] = -0.2230 X[ 7] = 1.7540 Y[ 7] = -0.2160 X[ 8] = 1.9570 Y[ 8] = -0.0820 X[ 9] = 2.1590 Y[ 9] = 0.2270 X[10] = 2.3620 Y[10] = 0.7670

 

Вариант 12 x1 = 1.6960; x2 = 1.8860; x3 = 1.3400 X[ 0] = 0.3240 Y[ 0] = -0.3450 X[ 1] = 0.5190 Y[ 1] = -0.0850 X[ 2] = 0.7140 Y[ 2] = 0.0200 X[ 3] = 0.9090 Y[ 3] = 0.0170 X[ 4] = 1.1040 Y[ 4] = -0.0490 X[ 5] = 1.2990 Y[ 5] = -0.1360 X[ 6] = 1.4940 Y[ 6] = -0.1990 X[ 7] = 1.6890 Y[ 7] = -0.1930 X[ 8] = 1.8840 Y[ 8] = -0.0740 X[ 9] = 2.0790 Y[ 9] = 0.2030 X[10] = 2.2740 Y[10] = 0.6830

 

Вариант 17 x1 = 1.5610; x2 = 1.7840; x3=2.1280 X[ 0] = 0.3560 Y[ 0] = -0.4520 X[ 1] = 0.5690 Y[ 1] = -0.1120 X[ 2] = 0.7830 Y[ 2] = 0.0270 X[ 3] = 0.9970 Y[ 3] = 0.0230 X[ 4] = 1.2110 Y[ 4] = -0.0650 X[ 5] = 1.4240 Y[ 5] = -0.1800 X[ 6] = 1.6380 Y[ 6] = -0.2630 X[ 7] = 1.8520 Y[ 7] = -0.2540 X[ 8] = 2.0660 Y[ 8] = -0.0960 X[ 9] = 2.2790 Y[ 9] = 0.2680 X[10] = 2.4930 Y[10] = 0.9010 Вариант 15 x1 = 0.6070; x2 = 1.6230; x3 = 0.8430 X[ 0] = 0.3430 Y[ 0] = -0.4070 X[ 1] = 0.5490 Y[ 1] = -0.1010 X[ 2] = 0.7560 Y[ 2] = 0.0240 X[ 3] = 0.9620 Y[ 3] = 0.0200 X[ 4] = 1.1680 Y[ 4] = -0.0580 X[ 5] = 1.3740 Y[ 5] = -0.1620 X[ 6] = 1.5810 Y[ 6] = -0.2360 X[ 7] = 1.7870 Y[ 7] = -0.2280 X[ 8] = 1.9930 Y[ 8] = -0.0870 X[ 9] = 2.1990 Y[ 9] = 0.2400 X[10] = 2.4060 Y[10] = 0.8110 Вариант 16 x1 = 2.2960; x2 = 0.9390; x3 = 1.3920 X[ 0] = 0.3490 Y[ 0] = -0.4300 X[ 1] = 0.5590 Y[ 1] = -0.1060 X[ 2] = 0.7690 Y[ 2] = 0.0250 X[ 3] = 0.9790 Y[ 3] = 0.0220 X[ 4] = 1.1890 Y[ 4] = -0.0610 X[ 5] = 1.3990 Y[ 5] = -0.1710 X[ 6] = 1.6090 Y[ 6] = -0.2490 X[ 7] = 1.8190 Y[ 7] = -0.2410 X[ 8] = 2.0290 Y[ 8] = -0.0920 X[ 9] = 2.2390 Y[ 9] = 0.2540 X[10] = 2.4490 Y[10] = 0.8530 Вариант 18 x1 = 0.7600; x2 = 2.0620; x3=1.7640 X[ 0] = 0.3620 Y[ 0] = -0.4770 X[ 1] = 0.5790 Y[ 1] = -0.1180 X[ 2] = 0.7970 Y[ 2] = 0.0280 X[ 3] = 1.0140 Y[ 3] = 0.0240 X[ 4] = 1.2320 Y[ 4] = -0.0690 X[ 5] = 1.4490 Y[ 5] = -0.1900 X[ 6] = 1.6670 Y[ 6] = -0.2770 X[ 7] = 1.8840 Y[ 7] = -0.2680 X[ 8] = 2.1020 Y[ 8] = -0.1010 X[ 9] = 2.3190 Y[ 9] = 0.2820 X[10] = 2.5370 Y[10] = 0.9500 Вариант 19 x1 = 2.0690; x2 = 2.0390; x3=1.6990 X[ 0] = 0.3680 Y[ 0] = -0.5030 X[ 1] = 0.5890 Y[ 1] = -0.1240 X[ 2] = 0.8110 Y[ 2] = 0.0300 X[ 3] = 1.0320 Y[ 3] = 0.0250 X[ 4] = 1.2530 Y[ 4] = -0.0720 X[ 5] = 1.4740 Y[ 5] = -0.2000 X[ 6] = 1.6960 Y[ 6] = -0.2910 X[ 7] = 1.9170 Y[ 7] = -0.2820 X[ 8] = 2.1380 Y[ 8] = -0.1070 X[ 9] = 2.3590 Y[ 9] = 0.2970 X[10] = 2.5810 Y[10] = 1.0010 Вариант 20 x1 = 1.5370; x2 = 1.7030; x3=1.7400 X[ 0] = 0.3740 Y[ 0] = -0.5290 X[ 1] = 0.5990 Y[ 1] = -0.1310 X[ 2] = 0.8240 Y[ 2] = 0.0310 X[ 3] = 1.0490 Y[ 3] = 0.0270 X[ 4] = 1.2740 Y[ 4] = -0.0760 X[ 5] = 1.4990 Y[ 5] = -0.2100 X[ 6] = 1.7240 Y[ 6] = -0.3060 X[ 7] = 1.9490 Y[ 7] = -0.2970 X[ 8] = 2.1740 Y[ 8] = -0.1130 X[ 9] = 2.3990 Y[ 9] = 0.3130 X[10] = 2.6240 Y[10] = 1.0500

 

 

Вариант 22 x1= 1.4510; x2 = 0.9480; x3 = 2.4550 X[ 0] = 0.3870 Y[ 0] = -0.5830 X[ 1] = 0.6190 Y[ 1] = -0.1440 X[ 2] = 0.8520 Y[ 2] = 0.0350 X[ 3] = 1.0840 Y[ 3] = 0.0300 X[ 4] = 1.3170 Y[ 4] = -0.0840 X[ 5] = 1.5490 Y[ 5] = -0.2320 X[ 6] = 1.7820 Y[ 6] = -0.3380 X[ 7] = 2.0140 Y[ 7] = -0.3280 X[ 8] = 2.2470 Y[ 8] = -0.1240 X[ 9] = 2.4790 Y[ 9] = 0.3450 X[10] = 2.7120 Y[10] = 1.1610 Вариант 26 x1 = 1.3780; x2 = 1.4350; x3=1.7020 X[ 0] = 0.4120 Y[ 0] = -0.7030 X[ 1] = 0.6590 Y[ 1] = -0.1740 X[ 2] = 0.9070 Y[ 2] = 0.0420 X[ 3] = 1.1540 Y[ 3] = 0.0360 X[ 4] = 1.4020 Y[ 4] = -0.1010 X[ 5] = 1.6490 Y[ 5] = -0.2800 X[ 6] = 1.8970 Y[ 6] = -0.4080 X[ 7] = 2.1440 Y[ 7] = -0.3950 X[ 8] = 2.3920 Y[ 8] = -0.1500 X[ 9] = 2.6390 Y[ 9] = 0.4160 X[10] = 2.8870 Y[10] = 1.4010 Вариант 21 x1 = 1.6790; x2 = 2.2880; x3 = 2.3860 X[ 0] = 0.3810 Y[ 0] = -0.5540 X[ 1] = 0.6090 Y[ 1] = -0.1370 X[ 2] = 0.8380 Y[ 2] = 0.0330 X[ 3] = 1.0670 Y[ 3] = 0.0280 X[ 4] = 1.2960 Y[ 4] = -0.0800 X[ 5] = 1.5240 Y[ 5] = -0.2210 X[ 6] = 1.7530 Y[ 6] = -0.3220 X[ 7] = 1.9820 Y[ 7] = -0.3120 X[ 8] = 2.2110 Y[ 8] = -0.1180 X[ 9] = 2.4390 Y[ 9] = 0.3280 X[10] = 2.6680 Y[10] = 1.1050 Вариант 24 x1 = 2.5030; x2 = 0.9080; x3 = 0.5840 X[ 0] = 0.3990 Y[ 0] = -0.6420 X[ 1] = 0.6390 Y[ 1] = -0.1590 X[ 2] = 0.8790 Y[ 2] = 0.0380 X[ 3] = 1.1190 Y[ 3] = 0.0330 X[ 4] = 1.3590 Y[ 4] = -0.0920 X[ 5] = 1.5990 Y[ 5] = -0.2550 X[ 6] = 1.8390 Y[ 6] = -0.3720 X[ 7] = 2.0790 Y[ 7] = -0.3600 X[ 8] = 2.3190 Y[ 8] = -0.1370 X[ 9] = 2.5590 Y[ 9] = 0.3800 X[10] = 2.7990 Y[10] = 1.2750 Вариант 23 x1 = 1.4590; x2 = 1.4070; x3=1.3350 X[ 0] = 0.3930 Y[ 0] = -0.6120 X[ 1] = 0.6290 Y[ 1] = -0.1510 X[ 2] = 0.8660 Y[ 2] = 0.0370 X[ 3] = 1.1020 Y[ 3] = 0.0310 X[ 4] = 1.3380 Y[ 4] = -0.0880 X[ 5] = 1.5740 Y[ 5] = -0.2430 X[ 6] = 1.8110 Y[ 6] = -0.3550 X[ 7] = 2.0470 Y[ 7] = -0.3440 X[ 8] = 2.2830 Y[ 8] = -0.1300 X[ 9] = 2.5190 Y[ 9] = 0.3620 X[10] = 2.7560 Y[10] = 1.2190 Вариант 25 x1 = 1.7570; x2 = 0.4700; x3=1.5810 X[ 0] = 0.4060 Y[ 0] = -0.6710 X[ 1] = 0.6490 Y[ 1] = -0.1660 X[ 2] = 0.8930 Y[ 2] = 0.0400 X[ 3] = 1.1370 Y[ 3] = 0.0340 X[ 4] = 1.3810 Y[ 4] = -0.0970 X[ 5] = 1.6240 Y[ 5] = -0.2670 X[ 6] = 1.8680 Y[ 6] = -0.3900 X[ 7] = 2.1120 Y[ 7] = -0.3770 X[ 8] = 2.3560 Y[ 8] = -0.1430 X[ 9] = 2.5990 Y[ 9] = 0.3980 X[10] = 2.8430 Y[10] = 1.3370

 

Вариант 31 x1 = 1.3010; x2 = 2.2450; x3 = 2.1200 X[ 0] = 0.4560 Y[ 0] = -0.9500 X[ 1] = 0.7290 Y[ 1] = -0.2350 X[ 2] = 1.0030 Y[ 2] = 0.0570 X[ 3] = 1.2770 Y[ 3] = 0.0480 X[ 4] = 1.5510 Y[ 4] = -0.1380 X[ 5] = 1.8240 Y[ 5] = -0.3790 X[ 6] = 2.0980 Y[ 6] = -0.5520 X[ 7] = 2.3720 Y[ 7] = -0.5350 X[ 8] = 2.6460 Y[ 8] = -0.2020 X[ 9] = 2.9190 Y[ 9] = 0.5640 X[10] = 3.1930 Y[10] = 1.8940 Вариант 32 x1 = 2.7820; x2 = 1.3080; x3 = 2.2850 X[ 0] = 0.4620 Y[ 0] = -0.9910 X[ 1] = 0.7390 Y[ 1] = -0.2450 X[ 2] = 1.0170 Y[ 2] = 0.0590 X[ 3] = 1.2940 Y[ 3] = 0.0510 X[ 4] = 1.5720 Y[ 4] = -0.1430 X[ 5] = 1.8490 Y[ 5] = -0.3940 X[ 6] = 2.1270 Y[ 6] = -0.5750 X[ 7] = 2.4040 Y[ 7] = -0.5570 X[ 8] = 2.6820 Y[ 8] = -0.2110 X[ 9] = 2.9590 Y[ 9] = 0.5880 X[10] = 3.2370 Y[10] = 1.9750 Вариант 28 x1 = 2.2070; x2 = 2.0030; x3 = 0.5900 X[ 0] = 0.4240 Y[ 0] = -0.7700 X[ 1] = 0.6790 Y[ 1] = -0.1900 X[ 2] = 0.9340 Y[ 2] = 0.0460 X[ 3] = 1.1890 Y[ 3] = 0.0390 X[ 4] = 1.4440 Y[ 4] = -0.1110 X[ 5] = 1.6990 Y[ 5] = -0.3060 X[ 6] = 1.9540 Y[ 6] = -0.4460 X[ 7] = 2.2090 Y[ 7] = -0.4320 X[ 8] = 2.4640 Y[ 8] = -0.1650 X[ 9] = 2.7190 Y[ 9] = 0.4560 X[10] = 2.9740 Y[10] = 1.5300

 

 

Вариант 38 x1 = 3.3870; x2 = 1.6760; x3 = 1.2680 X[ 0] = 0.4990 Y[ 0] = -1.2540 X[ 1] = 0.7990 Y[ 1] = -0.3100 X[ 2] = 1.0990 Y[ 2] = 0.0750 X[ 3] = 1.3990 Y[ 3] = 0.0640 X[ 4] = 1.6990 Y[ 4] = -0.1800 X[ 5] = 1.9990 Y[ 5] = -0.4980 X[ 6] = 2.2990 Y[ 6] = -0.7270 X[ 7] = 2.5990 Y[ 7] = -0.7040 X[ 8] = 2.8990 Y[ 8] = -0.2680 X[ 9] = 3.1990 Y[ 9] = 0.7430 X[10] = 3.4990 Y[10] = 2.4920 Вариант 37 x1 = 3.2430; x2 = 3.2460; x3 = 2.6270 X[ 0] = 0.4930 Y[ 0] = -1.2060 X[ 1] = 0.7890 Y[ 1] = -0.2980 X[ 2] = 1.0860 Y[ 2] = 0.0730 X[ 3] = 1.3820 Y[ 3] = 0.0610 X[ 4] = 1.6780 Y[ 4] = -0.1740 X[ 5] = 1.9740 Y[ 5] = -0.4800 X[ 6] = 2.2710 Y[ 6] = -0.7000 X[ 7] = 2.5670 Y[ 7] = -0.6780 X[ 8] = 2.8630 Y[ 8] = -0.2570 X[ 9] = 3.1590 Y[ 9] = 0.7150 X[10] = 3.4560 Y[10] = 2.4050 Вариант 36 x1 = 1.7310; x2 = 0.5420; x3 = 3.0450 X[ 0] = 0.4870 Y[ 0] = -1.1600 X[ 1] = 0.7790 Y[ 1] = -0.2870 X[ 2] = 1.0720 Y[ 2] = 0.0700 X[ 3] = 1.3640 Y[ 3] = 0.0590 X[ 4] = 1.6570 Y[ 4] = -0.1680 X[ 5] = 1.9490 Y[ 5] = -0.4620 X[ 6] = 2.2420 Y[ 6] = -0.6740 X[ 7] = 2.5340 Y[ 7] = -0.6530 X[ 8] = 2.8270 Y[ 8] = -0.2470 X[ 9] = 3.1190 Y[ 9] = 0.6890 X[10] = 3.4120 Y[10] = 2.3130 Вариант 34 x1 = 1.7330; x2 = 3.1310; x3 = 1.8920 X[ 0] = 0.4740 Y[ 0] = -1.0750 X[ 1] = 0.7590 Y[ 1] = -0.2650 X[ 2] = 1.0440 Y[ 2] = 0.0640 X[ 3] = 1.3290 Y[ 3] = 0.0550 X[ 4] = 1.6140 Y[ 4] = -0.1550 X[ 5] = 1.8990 Y[ 5] = -0.4270 X[ 6] = 2.1840 Y[ 6] = -0.6230 X[ 7] = 2.4690 Y[ 7] = -0.6040 X[ 8] = 2.7540 Y[ 8] = -0.2300 X[ 9] = 3.0390 Y[ 9] = 0.6370 X[10] = 3.3240 Y[10] = 2.1360 Вариант 33 x1 = 2.0180; x2 = 3.1920; x3 = 3.2050 X[ 0] = 0.4680 Y[ 0] = -1.0320 X[ 1] = 0.7490 Y[ 1] = -0.2550 X[ 2] = 1.0310 Y[ 2] = 0.0620 X[ 3] = 1.3120 Y[ 3] = 0.0520 X[ 4] = 1.5930 Y[ 4] = -0.1490 X[ 5] = 1.8740 Y[ 5] = -0.4110 X[ 6] = 2.1560 Y[ 6] = -0.5990 X[ 7] = 2.4370 Y[ 7] = -0.5800 X[ 8] = 2.7180 Y[ 8] = -0.2200 X[ 9] = 2.9990 Y[ 9] = 0.6120 X[10] = 3.2810 Y[10] = 2.0580 Вариант 35 x1 = 1.1710; x2 = 1.4190; x3 = 1.8680 X[ 0] = 0.4810 Y[ 0] = -1.1150 X[ 1] = 0.7690 Y[ 1] = -0.2760 X[ 2] = 1.0580 Y[ 2] = 0.0670 X[ 3] = 1.3470 Y[ 3] = 0.0570 X[ 4] = 1.6360 Y[ 4] = -0.1620 X[ 5] = 1.9240 Y[ 5] = -0.4440 X[ 6] = 2.2130 Y[ 6] = -0.6480 X[ 7] = 2.5020 Y[ 7] = -0.6280 X[ 8] = 2.7910 Y[ 8] = -0.2370 X[ 9] = 3.0790 Y[ 9] = 0.6620 X[10] = 3.3680 Y[10] = 2.2240