Funny commit name

1 files changed, 3337 insertions, 0 deletions

diff --git a/math2373/lab6/lab6.txt b/math2373/lab6/lab6.txt
new file mode 100644
index 0000000..e11acb6
--- /dev/null
+++ b/math2373/lab6/lab6.txt
@@ -0,0 +1,3337 @@
+N=10; eulerN; plot(t,y);
+hold on
+N=5; eulerN; plot(t,y);
+clear
+N=5; eulerN; plot(t,y);
+hold on
+N=10; eulerN; plot(t,y);
+N=20; eulerN; plot(t,y);
+N=40; eulerN; plot(t,y);
+N=80; eulerN; plot(t,y);
+x=0:0.001:2
+
+x =
+
+  Columns 1 through 6
+
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+
+  Columns 7 through 12
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+
+  Columns 19 through 24
+
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+  Columns 25 through 30
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+  Columns 31 through 36
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+  Columns 37 through 42
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+  Columns 43 through 48
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+  Columns 49 through 54
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+  Columns 793 through 798
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+  Columns 943 through 948
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+  Columns 949 through 954
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+  Columns 955 through 960
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+  Columns 961 through 966
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+  Columns 967 through 972
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+  Columns 973 through 978
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+  Columns 985 through 990
+
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+  Columns 991 through 996
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+
+  Columns 1003 through 1008
+
+    1.0020    1.0030    1.0040    1.0050    1.0060    1.0070
+
+  Columns 1009 through 1014
+
+    1.0080    1.0090    1.0100    1.0110    1.0120    1.0130
+
+  Columns 1015 through 1020
+
+    1.0140    1.0150    1.0160    1.0170    1.0180    1.0190
+
+  Columns 1021 through 1026
+
+    1.0200    1.0210    1.0220    1.0230    1.0240    1.0250
+
+  Columns 1027 through 1032
+
+    1.0260    1.0270    1.0280    1.0290    1.0300    1.0310
+
+  Columns 1033 through 1038
+
+    1.0320    1.0330    1.0340    1.0350    1.0360    1.0370
+
+  Columns 1039 through 1044
+
+    1.0380    1.0390    1.0400    1.0410    1.0420    1.0430
+
+  Columns 1045 through 1050
+
+    1.0440    1.0450    1.0460    1.0470    1.0480    1.0490
+
+  Columns 1051 through 1056
+
+    1.0500    1.0510    1.0520    1.0530    1.0540    1.0550
+
+  Columns 1057 through 1062
+
+    1.0560    1.0570    1.0580    1.0590    1.0600    1.0610
+
+  Columns 1063 through 1068
+
+    1.0620    1.0630    1.0640    1.0650    1.0660    1.0670
+
+  Columns 1069 through 1074
+
+    1.0680    1.0690    1.0700    1.0710    1.0720    1.0730
+
+  Columns 1075 through 1080
+
+    1.0740    1.0750    1.0760    1.0770    1.0780    1.0790
+
+  Columns 1081 through 1086
+
+    1.0800    1.0810    1.0820    1.0830    1.0840    1.0850
+
+  Columns 1087 through 1092
+
+    1.0860    1.0870    1.0880    1.0890    1.0900    1.0910
+
+  Columns 1093 through 1098
+
+    1.0920    1.0930    1.0940    1.0950    1.0960    1.0970
+
+  Columns 1099 through 1104
+
+    1.0980    1.0990    1.1000    1.1010    1.1020    1.1030
+
+  Columns 1105 through 1110
+
+    1.1040    1.1050    1.1060    1.1070    1.1080    1.1090
+
+  Columns 1111 through 1116
+
+    1.1100    1.1110    1.1120    1.1130    1.1140    1.1150
+
+  Columns 1117 through 1122
+
+    1.1160    1.1170    1.1180    1.1190    1.1200    1.1210
+
+  Columns 1123 through 1128
+
+    1.1220    1.1230    1.1240    1.1250    1.1260    1.1270
+
+  Columns 1129 through 1134
+
+    1.1280    1.1290    1.1300    1.1310    1.1320    1.1330
+
+  Columns 1135 through 1140
+
+    1.1340    1.1350    1.1360    1.1370    1.1380    1.1390
+
+  Columns 1141 through 1146
+
+    1.1400    1.1410    1.1420    1.1430    1.1440    1.1450
+
+  Columns 1147 through 1152
+
+    1.1460    1.1470    1.1480    1.1490    1.1500    1.1510
+
+  Columns 1153 through 1158
+
+    1.1520    1.1530    1.1540    1.1550    1.1560    1.1570
+
+  Columns 1159 through 1164
+
+    1.1580    1.1590    1.1600    1.1610    1.1620    1.1630
+
+  Columns 1165 through 1170
+
+    1.1640    1.1650    1.1660    1.1670    1.1680    1.1690
+
+  Columns 1171 through 1176
+
+    1.1700    1.1710    1.1720    1.1730    1.1740    1.1750
+
+  Columns 1177 through 1182
+
+    1.1760    1.1770    1.1780    1.1790    1.1800    1.1810
+
+  Columns 1183 through 1188
+
+    1.1820    1.1830    1.1840    1.1850    1.1860    1.1870
+
+  Columns 1189 through 1194
+
+    1.1880    1.1890    1.1900    1.1910    1.1920    1.1930
+
+  Columns 1195 through 1200
+
+    1.1940    1.1950    1.1960    1.1970    1.1980    1.1990
+
+  Columns 1201 through 1206
+
+    1.2000    1.2010    1.2020    1.2030    1.2040    1.2050
+
+  Columns 1207 through 1212
+
+    1.2060    1.2070    1.2080    1.2090    1.2100    1.2110
+
+  Columns 1213 through 1218
+
+    1.2120    1.2130    1.2140    1.2150    1.2160    1.2170
+
+  Columns 1219 through 1224
+
+    1.2180    1.2190    1.2200    1.2210    1.2220    1.2230
+
+  Columns 1225 through 1230
+
+    1.2240    1.2250    1.2260    1.2270    1.2280    1.2290
+
+  Columns 1231 through 1236
+
+    1.2300    1.2310    1.2320    1.2330    1.2340    1.2350
+
+  Columns 1237 through 1242
+
+    1.2360    1.2370    1.2380    1.2390    1.2400    1.2410
+
+  Columns 1243 through 1248
+
+    1.2420    1.2430    1.2440    1.2450    1.2460    1.2470
+
+  Columns 1249 through 1254
+
+    1.2480    1.2490    1.2500    1.2510    1.2520    1.2530
+
+  Columns 1255 through 1260
+
+    1.2540    1.2550    1.2560    1.2570    1.2580    1.2590
+
+  Columns 1261 through 1266
+
+    1.2600    1.2610    1.2620    1.2630    1.2640    1.2650
+
+  Columns 1267 through 1272
+
+    1.2660    1.2670    1.2680    1.2690    1.2700    1.2710
+
+  Columns 1273 through 1278
+
+    1.2720    1.2730    1.2740    1.2750    1.2760    1.2770
+
+  Columns 1279 through 1284
+
+    1.2780    1.2790    1.2800    1.2810    1.2820    1.2830
+
+  Columns 1285 through 1290
+
+    1.2840    1.2850    1.2860    1.2870    1.2880    1.2890
+
+  Columns 1291 through 1296
+
+    1.2900    1.2910    1.2920    1.2930    1.2940    1.2950
+
+  Columns 1297 through 1302
+
+    1.2960    1.2970    1.2980    1.2990    1.3000    1.3010
+
+  Columns 1303 through 1308
+
+    1.3020    1.3030    1.3040    1.3050    1.3060    1.3070
+
+  Columns 1309 through 1314
+
+    1.3080    1.3090    1.3100    1.3110    1.3120    1.3130
+
+  Columns 1315 through 1320
+
+    1.3140    1.3150    1.3160    1.3170    1.3180    1.3190
+
+  Columns 1321 through 1326
+
+    1.3200    1.3210    1.3220    1.3230    1.3240    1.3250
+
+  Columns 1327 through 1332
+
+    1.3260    1.3270    1.3280    1.3290    1.3300    1.3310
+
+  Columns 1333 through 1338
+
+    1.3320    1.3330    1.3340    1.3350    1.3360    1.3370
+
+  Columns 1339 through 1344
+
+    1.3380    1.3390    1.3400    1.3410    1.3420    1.3430
+
+  Columns 1345 through 1350
+
+    1.3440    1.3450    1.3460    1.3470    1.3480    1.3490
+
+  Columns 1351 through 1356
+
+    1.3500    1.3510    1.3520    1.3530    1.3540    1.3550
+
+  Columns 1357 through 1362
+
+    1.3560    1.3570    1.3580    1.3590    1.3600    1.3610
+
+  Columns 1363 through 1368
+
+    1.3620    1.3630    1.3640    1.3650    1.3660    1.3670
+
+  Columns 1369 through 1374
+
+    1.3680    1.3690    1.3700    1.3710    1.3720    1.3730
+
+  Columns 1375 through 1380
+
+    1.3740    1.3750    1.3760    1.3770    1.3780    1.3790
+
+  Columns 1381 through 1386
+
+    1.3800    1.3810    1.3820    1.3830    1.3840    1.3850
+
+  Columns 1387 through 1392
+
+    1.3860    1.3870    1.3880    1.3890    1.3900    1.3910
+
+  Columns 1393 through 1398
+
+    1.3920    1.3930    1.3940    1.3950    1.3960    1.3970
+
+  Columns 1399 through 1404
+
+    1.3980    1.3990    1.4000    1.4010    1.4020    1.4030
+
+  Columns 1405 through 1410
+
+    1.4040    1.4050    1.4060    1.4070    1.4080    1.4090
+
+  Columns 1411 through 1416
+
+    1.4100    1.4110    1.4120    1.4130    1.4140    1.4150
+
+  Columns 1417 through 1422
+
+    1.4160    1.4170    1.4180    1.4190    1.4200    1.4210
+
+  Columns 1423 through 1428
+
+    1.4220    1.4230    1.4240    1.4250    1.4260    1.4270
+
+  Columns 1429 through 1434
+
+    1.4280    1.4290    1.4300    1.4310    1.4320    1.4330
+
+  Columns 1435 through 1440
+
+    1.4340    1.4350    1.4360    1.4370    1.4380    1.4390
+
+  Columns 1441 through 1446
+
+    1.4400    1.4410    1.4420    1.4430    1.4440    1.4450
+
+  Columns 1447 through 1452
+
+    1.4460    1.4470    1.4480    1.4490    1.4500    1.4510
+
+  Columns 1453 through 1458
+
+    1.4520    1.4530    1.4540    1.4550    1.4560    1.4570
+
+  Columns 1459 through 1464
+
+    1.4580    1.4590    1.4600    1.4610    1.4620    1.4630
+
+  Columns 1465 through 1470
+
+    1.4640    1.4650    1.4660    1.4670    1.4680    1.4690
+
+  Columns 1471 through 1476
+
+    1.4700    1.4710    1.4720    1.4730    1.4740    1.4750
+
+  Columns 1477 through 1482
+
+    1.4760    1.4770    1.4780    1.4790    1.4800    1.4810
+
+  Columns 1483 through 1488
+
+    1.4820    1.4830    1.4840    1.4850    1.4860    1.4870
+
+  Columns 1489 through 1494
+
+    1.4880    1.4890    1.4900    1.4910    1.4920    1.4930
+
+  Columns 1495 through 1500
+
+    1.4940    1.4950    1.4960    1.4970    1.4980    1.4990
+
+  Columns 1501 through 1506
+
+    1.5000    1.5010    1.5020    1.5030    1.5040    1.5050
+
+  Columns 1507 through 1512
+
+    1.5060    1.5070    1.5080    1.5090    1.5100    1.5110
+
+  Columns 1513 through 1518
+
+    1.5120    1.5130    1.5140    1.5150    1.5160    1.5170
+
+  Columns 1519 through 1524
+
+    1.5180    1.5190    1.5200    1.5210    1.5220    1.5230
+
+  Columns 1525 through 1530
+
+    1.5240    1.5250    1.5260    1.5270    1.5280    1.5290
+
+  Columns 1531 through 1536
+
+    1.5300    1.5310    1.5320    1.5330    1.5340    1.5350
+
+  Columns 1537 through 1542
+
+    1.5360    1.5370    1.5380    1.5390    1.5400    1.5410
+
+  Columns 1543 through 1548
+
+    1.5420    1.5430    1.5440    1.5450    1.5460    1.5470
+
+  Columns 1549 through 1554
+
+    1.5480    1.5490    1.5500    1.5510    1.5520    1.5530
+
+  Columns 1555 through 1560
+
+    1.5540    1.5550    1.5560    1.5570    1.5580    1.5590
+
+  Columns 1561 through 1566
+
+    1.5600    1.5610    1.5620    1.5630    1.5640    1.5650
+
+  Columns 1567 through 1572
+
+    1.5660    1.5670    1.5680    1.5690    1.5700    1.5710
+
+  Columns 1573 through 1578
+
+    1.5720    1.5730    1.5740    1.5750    1.5760    1.5770
+
+  Columns 1579 through 1584
+
+    1.5780    1.5790    1.5800    1.5810    1.5820    1.5830
+
+  Columns 1585 through 1590
+
+    1.5840    1.5850    1.5860    1.5870    1.5880    1.5890
+
+  Columns 1591 through 1596
+
+    1.5900    1.5910    1.5920    1.5930    1.5940    1.5950
+
+  Columns 1597 through 1602
+
+    1.5960    1.5970    1.5980    1.5990    1.6000    1.6010
+
+  Columns 1603 through 1608
+
+    1.6020    1.6030    1.6040    1.6050    1.6060    1.6070
+
+  Columns 1609 through 1614
+
+    1.6080    1.6090    1.6100    1.6110    1.6120    1.6130
+
+  Columns 1615 through 1620
+
+    1.6140    1.6150    1.6160    1.6170    1.6180    1.6190
+
+  Columns 1621 through 1626
+
+    1.6200    1.6210    1.6220    1.6230    1.6240    1.6250
+
+  Columns 1627 through 1632
+
+    1.6260    1.6270    1.6280    1.6290    1.6300    1.6310
+
+  Columns 1633 through 1638
+
+    1.6320    1.6330    1.6340    1.6350    1.6360    1.6370
+
+  Columns 1639 through 1644
+
+    1.6380    1.6390    1.6400    1.6410    1.6420    1.6430
+
+  Columns 1645 through 1650
+
+    1.6440    1.6450    1.6460    1.6470    1.6480    1.6490
+
+  Columns 1651 through 1656
+
+    1.6500    1.6510    1.6520    1.6530    1.6540    1.6550
+
+  Columns 1657 through 1662
+
+    1.6560    1.6570    1.6580    1.6590    1.6600    1.6610
+
+  Columns 1663 through 1668
+
+    1.6620    1.6630    1.6640    1.6650    1.6660    1.6670
+
+  Columns 1669 through 1674
+
+    1.6680    1.6690    1.6700    1.6710    1.6720    1.6730
+
+  Columns 1675 through 1680
+
+    1.6740    1.6750    1.6760    1.6770    1.6780    1.6790
+
+  Columns 1681 through 1686
+
+    1.6800    1.6810    1.6820    1.6830    1.6840    1.6850
+
+  Columns 1687 through 1692
+
+    1.6860    1.6870    1.6880    1.6890    1.6900    1.6910
+
+  Columns 1693 through 1698
+
+    1.6920    1.6930    1.6940    1.6950    1.6960    1.6970
+
+  Columns 1699 through 1704
+
+    1.6980    1.6990    1.7000    1.7010    1.7020    1.7030
+
+  Columns 1705 through 1710
+
+    1.7040    1.7050    1.7060    1.7070    1.7080    1.7090
+
+  Columns 1711 through 1716
+
+    1.7100    1.7110    1.7120    1.7130    1.7140    1.7150
+
+  Columns 1717 through 1722
+
+    1.7160    1.7170    1.7180    1.7190    1.7200    1.7210
+
+  Columns 1723 through 1728
+
+    1.7220    1.7230    1.7240    1.7250    1.7260    1.7270
+
+  Columns 1729 through 1734
+
+    1.7280    1.7290    1.7300    1.7310    1.7320    1.7330
+
+  Columns 1735 through 1740
+
+    1.7340    1.7350    1.7360    1.7370    1.7380    1.7390
+
+  Columns 1741 through 1746
+
+    1.7400    1.7410    1.7420    1.7430    1.7440    1.7450
+
+  Columns 1747 through 1752
+
+    1.7460    1.7470    1.7480    1.7490    1.7500    1.7510
+
+  Columns 1753 through 1758
+
+    1.7520    1.7530    1.7540    1.7550    1.7560    1.7570
+
+  Columns 1759 through 1764
+
+    1.7580    1.7590    1.7600    1.7610    1.7620    1.7630
+
+  Columns 1765 through 1770
+
+    1.7640    1.7650    1.7660    1.7670    1.7680    1.7690
+
+  Columns 1771 through 1776
+
+    1.7700    1.7710    1.7720    1.7730    1.7740    1.7750
+
+  Columns 1777 through 1782
+
+    1.7760    1.7770    1.7780    1.7790    1.7800    1.7810
+
+  Columns 1783 through 1788
+
+    1.7820    1.7830    1.7840    1.7850    1.7860    1.7870
+
+  Columns 1789 through 1794
+
+    1.7880    1.7890    1.7900    1.7910    1.7920    1.7930
+
+  Columns 1795 through 1800
+
+    1.7940    1.7950    1.7960    1.7970    1.7980    1.7990
+
+  Columns 1801 through 1806
+
+    1.8000    1.8010    1.8020    1.8030    1.8040    1.8050
+
+  Columns 1807 through 1812
+
+    1.8060    1.8070    1.8080    1.8090    1.8100    1.8110
+
+  Columns 1813 through 1818
+
+    1.8120    1.8130    1.8140    1.8150    1.8160    1.8170
+
+  Columns 1819 through 1824
+
+    1.8180    1.8190    1.8200    1.8210    1.8220    1.8230
+
+  Columns 1825 through 1830
+
+    1.8240    1.8250    1.8260    1.8270    1.8280    1.8290
+
+  Columns 1831 through 1836
+
+    1.8300    1.8310    1.8320    1.8330    1.8340    1.8350
+
+  Columns 1837 through 1842
+
+    1.8360    1.8370    1.8380    1.8390    1.8400    1.8410
+
+  Columns 1843 through 1848
+
+    1.8420    1.8430    1.8440    1.8450    1.8460    1.8470
+
+  Columns 1849 through 1854
+
+    1.8480    1.8490    1.8500    1.8510    1.8520    1.8530
+
+  Columns 1855 through 1860
+
+    1.8540    1.8550    1.8560    1.8570    1.8580    1.8590
+
+  Columns 1861 through 1866
+
+    1.8600    1.8610    1.8620    1.8630    1.8640    1.8650
+
+  Columns 1867 through 1872
+
+    1.8660    1.8670    1.8680    1.8690    1.8700    1.8710
+
+  Columns 1873 through 1878
+
+    1.8720    1.8730    1.8740    1.8750    1.8760    1.8770
+
+  Columns 1879 through 1884
+
+    1.8780    1.8790    1.8800    1.8810    1.8820    1.8830
+
+  Columns 1885 through 1890
+
+    1.8840    1.8850    1.8860    1.8870    1.8880    1.8890
+
+  Columns 1891 through 1896
+
+    1.8900    1.8910    1.8920    1.8930    1.8940    1.8950
+
+  Columns 1897 through 1902
+
+    1.8960    1.8970    1.8980    1.8990    1.9000    1.9010
+
+  Columns 1903 through 1908
+
+    1.9020    1.9030    1.9040    1.9050    1.9060    1.9070
+
+  Columns 1909 through 1914
+
+    1.9080    1.9090    1.9100    1.9110    1.9120    1.9130
+
+  Columns 1915 through 1920
+
+    1.9140    1.9150    1.9160    1.9170    1.9180    1.9190
+
+  Columns 1921 through 1926
+
+    1.9200    1.9210    1.9220    1.9230    1.9240    1.9250
+
+  Columns 1927 through 1932
+
+    1.9260    1.9270    1.9280    1.9290    1.9300    1.9310
+
+  Columns 1933 through 1938
+
+    1.9320    1.9330    1.9340    1.9350    1.9360    1.9370
+
+  Columns 1939 through 1944
+
+    1.9380    1.9390    1.9400    1.9410    1.9420    1.9430
+
+  Columns 1945 through 1950
+
+    1.9440    1.9450    1.9460    1.9470    1.9480    1.9490
+
+  Columns 1951 through 1956
+
+    1.9500    1.9510    1.9520    1.9530    1.9540    1.9550
+
+  Columns 1957 through 1962
+
+    1.9560    1.9570    1.9580    1.9590    1.9600    1.9610
+
+  Columns 1963 through 1968
+
+    1.9620    1.9630    1.9640    1.9650    1.9660    1.9670
+
+  Columns 1969 through 1974
+
+    1.9680    1.9690    1.9700    1.9710    1.9720    1.9730
+
+  Columns 1975 through 1980
+
+    1.9740    1.9750    1.9760    1.9770    1.9780    1.9790
+
+  Columns 1981 through 1986
+
+    1.9800    1.9810    1.9820    1.9830    1.9840    1.9850
+
+  Columns 1987 through 1992
+
+    1.9860    1.9870    1.9880    1.9890    1.9900    1.9910
+
+  Columns 1993 through 1998
+
+    1.9920    1.9930    1.9940    1.9950    1.9960    1.9970
+
+  Columns 1999 through 2001
+
+    1.9980    1.9990    2.0000
+
+x=0:0.001:2;
+y=8-2*x-7*exp(-x/2); graph(x,y);
+{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.MLGraph')" style="font-weight:bold">matlab.internal.graph.MLGraph</a>
+Source must be a dense double array of positive integer node
+indices.
+
+Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.constructFromEdgeList', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m', 136)" style="font-weight:bold">matlab.internal.graph.constructFromEdgeList</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m',136,0)">line 136</a>)
+    G = underlyingCtor(s, t, totalNodes);
+
+Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('graph', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m', 298)" style="font-weight:bold">graph</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m',298,0)">line 298</a>)
+                matlab.internal.graph.constructFromEdgeList(...
+} 
+clear x,y
+
+y =
+
+  Columns 1 through 6
+
+    1.0000    1.0015    1.0030    1.0045    1.0060    1.0075
+
+  Columns 7 through 12
+
+    1.0090    1.0105    1.0119    1.0134    1.0149    1.0164
+
+  Columns 13 through 18
+
+    1.0179    1.0194    1.0208    1.0223    1.0238    1.0252
+
+  Columns 19 through 24
+
+    1.0267    1.0282    1.0297    1.0311    1.0326    1.0340
+
+  Columns 25 through 30
+
+    1.0355    1.0370    1.0384    1.0399    1.0413    1.0428
+
+  Columns 31 through 36
+
+    1.0442    1.0457    1.0471    1.0486    1.0500    1.0514
+
+  Columns 37 through 42
+
+    1.0529    1.0543    1.0557    1.0572    1.0586    1.0600
+
+  Columns 43 through 48
+
+    1.0615    1.0629    1.0643    1.0657    1.0672    1.0686
+
+  Columns 49 through 54
+
+    1.0700    1.0714    1.0728    1.0742    1.0757    1.0771
+
+  Columns 55 through 60
+
+    1.0785    1.0799    1.0813    1.0827    1.0841    1.0855
+
+  Columns 61 through 66
+
+    1.0869    1.0883    1.0897    1.0911    1.0925    1.0938
+
+  Columns 67 through 72
+
+    1.0952    1.0966    1.0980    1.0994    1.1008    1.1021
+
+  Columns 73 through 78
+
+    1.1035    1.1049    1.1063    1.1076    1.1090    1.1104
+
+  Columns 79 through 84
+
+    1.1117    1.1131    1.1145    1.1158    1.1172    1.1186
+
+  Columns 85 through 90
+
+    1.1199    1.1213    1.1226    1.1240    1.1253    1.1267
+
+  Columns 91 through 96
+
+    1.1280    1.1294    1.1307    1.1320    1.1334    1.1347
+
+  Columns 97 through 102
+
+    1.1361    1.1374    1.1387    1.1401    1.1414    1.1427
+
+  Columns 103 through 108
+
+    1.1440    1.1454    1.1467    1.1480    1.1493    1.1507
+
+  Columns 109 through 114
+
+    1.1520    1.1533    1.1546    1.1559    1.1572    1.1585
+
+  Columns 115 through 120
+
+    1.1598    1.1611    1.1625    1.1638    1.1651    1.1664
+
+  Columns 121 through 126
+
+    1.1676    1.1689    1.1702    1.1715    1.1728    1.1741
+
+  Columns 127 through 132
+
+    1.1754    1.1767    1.1780    1.1792    1.1805    1.1818
+
+  Columns 133 through 138
+
+    1.1831    1.1844    1.1856    1.1869    1.1882    1.1894
+
+  Columns 139 through 144
+
+    1.1907    1.1920    1.1932    1.1945    1.1958    1.1970
+
+  Columns 145 through 150
+
+    1.1983    1.1995    1.2008    1.2020    1.2033    1.2045
+
+  Columns 151 through 156
+
+    1.2058    1.2070    1.2083    1.2095    1.2108    1.2120
+
+  Columns 157 through 162
+
+    1.2132    1.2145    1.2157    1.2170    1.2182    1.2194
+
+  Columns 163 through 168
+
+    1.2206    1.2219    1.2231    1.2243    1.2255    1.2268
+
+  Columns 169 through 174
+
+    1.2280    1.2292    1.2304    1.2316    1.2328    1.2341
+
+  Columns 175 through 180
+
+    1.2353    1.2365    1.2377    1.2389    1.2401    1.2413
+
+  Columns 181 through 186
+
+    1.2425    1.2437    1.2449    1.2461    1.2473    1.2485
+
+  Columns 187 through 192
+
+    1.2496    1.2508    1.2520    1.2532    1.2544    1.2556
+
+  Columns 193 through 198
+
+    1.2568    1.2579    1.2591    1.2603    1.2615    1.2626
+
+  Columns 199 through 204
+
+    1.2638    1.2650    1.2661    1.2673    1.2685    1.2696
+
+  Columns 205 through 210
+
+    1.2708    1.2720    1.2731    1.2743    1.2754    1.2766
+
+  Columns 211 through 216
+
+    1.2777    1.2789    1.2800    1.2812    1.2823    1.2835
+
+  Columns 217 through 222
+
+    1.2846    1.2857    1.2869    1.2880    1.2892    1.2903
+
+  Columns 223 through 228
+
+    1.2914    1.2926    1.2937    1.2948    1.2959    1.2971
+
+  Columns 229 through 234
+
+    1.2982    1.2993    1.3004    1.3016    1.3027    1.3038
+
+  Columns 235 through 240
+
+    1.3049    1.3060    1.3071    1.3082    1.3093    1.3105
+
+  Columns 241 through 246
+
+    1.3116    1.3127    1.3138    1.3149    1.3160    1.3171
+
+  Columns 247 through 252
+
+    1.3182    1.3192    1.3203    1.3214    1.3225    1.3236
+
+  Columns 253 through 258
+
+    1.3247    1.3258    1.3269    1.3279    1.3290    1.3301
+
+  Columns 259 through 264
+
+    1.3312    1.3323    1.3333    1.3344    1.3355    1.3365
+
+  Columns 265 through 270
+
+    1.3376    1.3387    1.3397    1.3408    1.3419    1.3429
+
+  Columns 271 through 276
+
+    1.3440    1.3450    1.3461    1.3472    1.3482    1.3493
+
+  Columns 277 through 282
+
+    1.3503    1.3514    1.3524    1.3534    1.3545    1.3555
+
+  Columns 283 through 288
+
+    1.3566    1.3576    1.3587    1.3597    1.3607    1.3618
+
+  Columns 289 through 294
+
+    1.3628    1.3638    1.3648    1.3659    1.3669    1.3679
+
+  Columns 295 through 300
+
+    1.3689    1.3700    1.3710    1.3720    1.3730    1.3740
+
+  Columns 301 through 306
+
+    1.3750    1.3761    1.3771    1.3781    1.3791    1.3801
+
+  Columns 307 through 312
+
+    1.3811    1.3821    1.3831    1.3841    1.3851    1.3861
+
+  Columns 313 through 318
+
+    1.3871    1.3881    1.3891    1.3901    1.3911    1.3920
+
+  Columns 319 through 324
+
+    1.3930    1.3940    1.3950    1.3960    1.3970    1.3979
+
+  Columns 325 through 330
+
+    1.3989    1.3999    1.4009    1.4018    1.4028    1.4038
+
+  Columns 331 through 336
+
+    1.4047    1.4057    1.4067    1.4076    1.4086    1.4096
+
+  Columns 337 through 342
+
+    1.4105    1.4115    1.4124    1.4134    1.4143    1.4153
+
+  Columns 343 through 348
+
+    1.4162    1.4172    1.4181    1.4191    1.4200    1.4210
+
+  Columns 349 through 354
+
+    1.4219    1.4229    1.4238    1.4247    1.4257    1.4266
+
+  Columns 355 through 360
+
+    1.4275    1.4285    1.4294    1.4303    1.4313    1.4322
+
+  Columns 361 through 366
+
+    1.4331    1.4340    1.4350    1.4359    1.4368    1.4377
+
+  Columns 367 through 372
+
+    1.4386    1.4395    1.4404    1.4414    1.4423    1.4432
+
+  Columns 373 through 378
+
+    1.4441    1.4450    1.4459    1.4468    1.4477    1.4486
+
+  Columns 379 through 384
+
+    1.4495    1.4504    1.4513    1.4522    1.4531    1.4540
+
+  Columns 385 through 390
+
+    1.4549    1.4557    1.4566    1.4575    1.4584    1.4593
+
+  Columns 391 through 396
+
+    1.4602    1.4610    1.4619    1.4628    1.4637    1.4645
+
+  Columns 397 through 402
+
+    1.4654    1.4663    1.4672    1.4680    1.4689    1.4697
+
+  Columns 403 through 408
+
+    1.4706    1.4715    1.4723    1.4732    1.4741    1.4749
+
+  Columns 409 through 414
+
+    1.4758    1.4766    1.4775    1.4783    1.4792    1.4800
+
+  Columns 415 through 420
+
+    1.4809    1.4817    1.4826    1.4834    1.4842    1.4851
+
+  Columns 421 through 426
+
+    1.4859    1.4867    1.4876    1.4884    1.4892    1.4901
+
+  Columns 427 through 432
+
+    1.4909    1.4917    1.4926    1.4934    1.4942    1.4950
+
+  Columns 433 through 438
+
+    1.4959    1.4967    1.4975    1.4983    1.4991    1.4999
+
+  Columns 439 through 444
+
+    1.5007    1.5016    1.5024    1.5032    1.5040    1.5048
+
+  Columns 445 through 450
+
+    1.5056    1.5064    1.5072    1.5080    1.5088    1.5096
+
+  Columns 451 through 456
+
+    1.5104    1.5112    1.5120    1.5128    1.5136    1.5143
+
+  Columns 457 through 462
+
+    1.5151    1.5159    1.5167    1.5175    1.5183    1.5190
+
+  Columns 463 through 468
+
+    1.5198    1.5206    1.5214    1.5222    1.5229    1.5237
+
+  Columns 469 through 474
+
+    1.5245    1.5252    1.5260    1.5268    1.5275    1.5283
+
+  Columns 475 through 480
+
+    1.5291    1.5298    1.5306    1.5313    1.5321    1.5329
+
+  Columns 481 through 486
+
+    1.5336    1.5344    1.5351    1.5359    1.5366    1.5374
+
+  Columns 487 through 492
+
+    1.5381    1.5388    1.5396    1.5403    1.5411    1.5418
+
+  Columns 493 through 498
+
+    1.5425    1.5433    1.5440    1.5447    1.5455    1.5462
+
+  Columns 499 through 504
+
+    1.5469    1.5477    1.5484    1.5491    1.5498    1.5506
+
+  Columns 505 through 510
+
+    1.5513    1.5520    1.5527    1.5534    1.5542    1.5549
+
+  Columns 511 through 516
+
+    1.5556    1.5563    1.5570    1.5577    1.5584    1.5591
+
+  Columns 517 through 522
+
+    1.5598    1.5605    1.5612    1.5619    1.5626    1.5633
+
+  Columns 523 through 528
+
+    1.5640    1.5647    1.5654    1.5661    1.5668    1.5675
+
+  Columns 529 through 534
+
+    1.5682    1.5689    1.5696    1.5702    1.5709    1.5716
+
+  Columns 535 through 540
+
+    1.5723    1.5730    1.5736    1.5743    1.5750    1.5757
+
+  Columns 541 through 546
+
+    1.5763    1.5770    1.5777    1.5784    1.5790    1.5797
+
+  Columns 547 through 552
+
+    1.5804    1.5810    1.5817    1.5823    1.5830    1.5837
+
+  Columns 553 through 558
+
+    1.5843    1.5850    1.5856    1.5863    1.5869    1.5876
+
+  Columns 559 through 564
+
+    1.5882    1.5889    1.5895    1.5902    1.5908    1.5914
+
+  Columns 565 through 570
+
+    1.5921    1.5927    1.5934    1.5940    1.5946    1.5953
+
+  Columns 571 through 576
+
+    1.5959    1.5965    1.5972    1.5978    1.5984    1.5990
+
+  Columns 577 through 582
+
+    1.5997    1.6003    1.6009    1.6015    1.6022    1.6028
+
+  Columns 583 through 588
+
+    1.6034    1.6040    1.6046    1.6052    1.6058    1.6065
+
+  Columns 589 through 594
+
+    1.6071    1.6077    1.6083    1.6089    1.6095    1.6101
+
+  Columns 595 through 600
+
+    1.6107    1.6113    1.6119    1.6125    1.6131    1.6137
+
+  Columns 601 through 606
+
+    1.6143    1.6149    1.6155    1.6160    1.6166    1.6172
+
+  Columns 607 through 612
+
+    1.6178    1.6184    1.6190    1.6196    1.6201    1.6207
+
+  Columns 613 through 618
+
+    1.6213    1.6219    1.6224    1.6230    1.6236    1.6242
+
+  Columns 619 through 624
+
+    1.6247    1.6253    1.6259    1.6264    1.6270    1.6276
+
+  Columns 625 through 630
+
+    1.6281    1.6287    1.6293    1.6298    1.6304    1.6309
+
+  Columns 631 through 636
+
+    1.6315    1.6320    1.6326    1.6331    1.6337    1.6342
+
+  Columns 637 through 642
+
+    1.6348    1.6353    1.6359    1.6364    1.6370    1.6375
+
+  Columns 643 through 648
+
+    1.6380    1.6386    1.6391    1.6396    1.6402    1.6407
+
+  Columns 649 through 654
+
+    1.6412    1.6418    1.6423    1.6428    1.6434    1.6439
+
+  Columns 655 through 660
+
+    1.6444    1.6449    1.6455    1.6460    1.6465    1.6470
+
+  Columns 661 through 666
+
+    1.6475    1.6480    1.6486    1.6491    1.6496    1.6501
+
+  Columns 667 through 672
+
+    1.6506    1.6511    1.6516    1.6521    1.6526    1.6531
+
+  Columns 673 through 678
+
+    1.6536    1.6541    1.6546    1.6551    1.6556    1.6561
+
+  Columns 679 through 684
+
+    1.6566    1.6571    1.6576    1.6581    1.6586    1.6591
+
+  Columns 685 through 690
+
+    1.6596    1.6600    1.6605    1.6610    1.6615    1.6620
+
+  Columns 691 through 696
+
+    1.6625    1.6629    1.6634    1.6639    1.6644    1.6648
+
+  Columns 697 through 702
+
+    1.6653    1.6658    1.6662    1.6667    1.6672    1.6676
+
+  Columns 703 through 708
+
+    1.6681    1.6686    1.6690    1.6695    1.6700    1.6704
+
+  Columns 709 through 714
+
+    1.6709    1.6713    1.6718    1.6722    1.6727    1.6731
+
+  Columns 715 through 720
+
+    1.6736    1.6740    1.6745    1.6749    1.6754    1.6758
+
+  Columns 721 through 726
+
+    1.6763    1.6767    1.6771    1.6776    1.6780    1.6785
+
+  Columns 727 through 732
+
+    1.6789    1.6793    1.6798    1.6802    1.6806    1.6811
+
+  Columns 733 through 738
+
+    1.6815    1.6819    1.6823    1.6828    1.6832    1.6836
+
+  Columns 739 through 744
+
+    1.6840    1.6844    1.6849    1.6853    1.6857    1.6861
+
+  Columns 745 through 750
+
+    1.6865    1.6869    1.6873    1.6878    1.6882    1.6886
+
+  Columns 751 through 756
+
+    1.6890    1.6894    1.6898    1.6902    1.6906    1.6910
+
+  Columns 757 through 762
+
+    1.6914    1.6918    1.6922    1.6926    1.6930    1.6934
+
+  Columns 763 through 768
+
+    1.6938    1.6941    1.6945    1.6949    1.6953    1.6957
+
+  Columns 769 through 774
+
+    1.6961    1.6965    1.6968    1.6972    1.6976    1.6980
+
+  Columns 775 through 780
+
+    1.6984    1.6987    1.6991    1.6995    1.6999    1.7002
+
+  Columns 781 through 786
+
+    1.7006    1.7010    1.7013    1.7017    1.7021    1.7024
+
+  Columns 787 through 792
+
+    1.7028    1.7032    1.7035    1.7039    1.7042    1.7046
+
+  Columns 793 through 798
+
+    1.7050    1.7053    1.7057    1.7060    1.7064    1.7067
+
+  Columns 799 through 804
+
+    1.7071    1.7074    1.7078    1.7081    1.7084    1.7088
+
+  Columns 805 through 810
+
+    1.7091    1.7095    1.7098    1.7102    1.7105    1.7108
+
+  Columns 811 through 816
+
+    1.7112    1.7115    1.7118    1.7122    1.7125    1.7128
+
+  Columns 817 through 822
+
+    1.7131    1.7135    1.7138    1.7141    1.7144    1.7148
+
+  Columns 823 through 828
+
+    1.7151    1.7154    1.7157    1.7160    1.7164    1.7167
+
+  Columns 829 through 834
+
+    1.7170    1.7173    1.7176    1.7179    1.7182    1.7185
+
+  Columns 835 through 840
+
+    1.7189    1.7192    1.7195    1.7198    1.7201    1.7204
+
+  Columns 841 through 846
+
+    1.7207    1.7210    1.7213    1.7216    1.7219    1.7222
+
+  Columns 847 through 852
+
+    1.7224    1.7227    1.7230    1.7233    1.7236    1.7239
+
+  Columns 853 through 858
+
+    1.7242    1.7245    1.7248    1.7250    1.7253    1.7256
+
+  Columns 859 through 864
+
+    1.7259    1.7262    1.7264    1.7267    1.7270    1.7273
+
+  Columns 865 through 870
+
+    1.7275    1.7278    1.7281    1.7283    1.7286    1.7289
+
+  Columns 871 through 876
+
+    1.7291    1.7294    1.7297    1.7299    1.7302    1.7305
+
+  Columns 877 through 882
+
+    1.7307    1.7310    1.7312    1.7315    1.7317    1.7320
+
+  Columns 883 through 888
+
+    1.7323    1.7325    1.7328    1.7330    1.7332    1.7335
+
+  Columns 889 through 894
+
+    1.7337    1.7340    1.7342    1.7345    1.7347    1.7350
+
+  Columns 895 through 900
+
+    1.7352    1.7354    1.7357    1.7359    1.7361    1.7364
+
+  Columns 901 through 906
+
+    1.7366    1.7368    1.7371    1.7373    1.7375    1.7377
+
+  Columns 907 through 912
+
+    1.7380    1.7382    1.7384    1.7386    1.7389    1.7391
+
+  Columns 913 through 918
+
+    1.7393    1.7395    1.7397    1.7400    1.7402    1.7404
+
+  Columns 919 through 924
+
+    1.7406    1.7408    1.7410    1.7412    1.7414    1.7416
+
+  Columns 925 through 930
+
+    1.7418    1.7420    1.7423    1.7425    1.7427    1.7429
+
+  Columns 931 through 936
+
+    1.7431    1.7433    1.7434    1.7436    1.7438    1.7440
+
+  Columns 937 through 942
+
+    1.7442    1.7444    1.7446    1.7448    1.7450    1.7452
+
+  Columns 943 through 948
+
+    1.7454    1.7455    1.7457    1.7459    1.7461    1.7463
+
+  Columns 949 through 954
+
+    1.7464    1.7466    1.7468    1.7470    1.7472    1.7473
+
+  Columns 955 through 960
+
+    1.7475    1.7477    1.7478    1.7480    1.7482    1.7483
+
+  Columns 961 through 966
+
+    1.7485    1.7487    1.7488    1.7490    1.7492    1.7493
+
+  Columns 967 through 972
+
+    1.7495    1.7496    1.7498    1.7500    1.7501    1.7503
+
+  Columns 973 through 978
+
+    1.7504    1.7506    1.7507    1.7509    1.7510    1.7512
+
+  Columns 979 through 984
+
+    1.7513    1.7515    1.7516    1.7518    1.7519    1.7520
+
+  Columns 985 through 990
+
+    1.7522    1.7523    1.7525    1.7526    1.7527    1.7529
+
+  Columns 991 through 996
+
+    1.7530    1.7531    1.7533    1.7534    1.7535    1.7537
+
+  Columns 997 through 1002
+
+    1.7538    1.7539    1.7540    1.7542    1.7543    1.7544
+
+  Columns 1003 through 1008
+
+    1.7545    1.7546    1.7548    1.7549    1.7550    1.7551
+
+  Columns 1009 through 1014
+
+    1.7552    1.7553    1.7555    1.7556    1.7557    1.7558
+
+  Columns 1015 through 1020
+
+    1.7559    1.7560    1.7561    1.7562    1.7563    1.7564
+
+  Columns 1021 through 1026
+
+    1.7565    1.7566    1.7567    1.7568    1.7569    1.7570
+
+  Columns 1027 through 1032
+
+    1.7571    1.7572    1.7573    1.7574    1.7575    1.7576
+
+  Columns 1033 through 1038
+
+    1.7577    1.7578    1.7579    1.7579    1.7580    1.7581
+
+  Columns 1039 through 1044
+
+    1.7582    1.7583    1.7584    1.7584    1.7585    1.7586
+
+  Columns 1045 through 1050
+
+    1.7587    1.7587    1.7588    1.7589    1.7590    1.7590
+
+  Columns 1051 through 1056
+
+    1.7591    1.7592    1.7593    1.7593    1.7594    1.7595
+
+  Columns 1057 through 1062
+
+    1.7595    1.7596    1.7596    1.7597    1.7598    1.7598
+
+  Columns 1063 through 1068
+
+    1.7599    1.7599    1.7600    1.7601    1.7601    1.7602
+
+  Columns 1069 through 1074
+
+    1.7602    1.7603    1.7603    1.7604    1.7604    1.7605
+
+  Columns 1075 through 1080
+
+    1.7605    1.7606    1.7606    1.7606    1.7607    1.7607
+
+  Columns 1081 through 1086
+
+    1.7608    1.7608    1.7608    1.7609    1.7609    1.7609
+
+  Columns 1087 through 1092
+
+    1.7610    1.7610    1.7610    1.7611    1.7611    1.7611
+
+  Columns 1093 through 1098
+
+    1.7612    1.7612    1.7612    1.7612    1.7613    1.7613
+
+  Columns 1099 through 1104
+
+    1.7613    1.7613    1.7614    1.7614    1.7614    1.7614
+
+  Columns 1105 through 1110
+
+    1.7614    1.7614    1.7614    1.7615    1.7615    1.7615
+
+  Columns 1111 through 1116
+
+    1.7615    1.7615    1.7615    1.7615    1.7615    1.7615
+
+  Columns 1117 through 1122
+
+    1.7615    1.7615    1.7615    1.7615    1.7615    1.7615
+
+  Columns 1123 through 1128
+
+    1.7615    1.7615    1.7615    1.7615    1.7615    1.7615
+
+  Columns 1129 through 1134
+
+    1.7615    1.7615    1.7615    1.7615    1.7615    1.7614
+
+  Columns 1135 through 1140
+
+    1.7614    1.7614    1.7614    1.7614    1.7614    1.7613
+
+  Columns 1141 through 1146
+
+    1.7613    1.7613    1.7613    1.7613    1.7612    1.7612
+
+  Columns 1147 through 1152
+
+    1.7612    1.7612    1.7611    1.7611    1.7611    1.7610
+
+  Columns 1153 through 1158
+
+    1.7610    1.7610    1.7609    1.7609    1.7609    1.7608
+
+  Columns 1159 through 1164
+
+    1.7608    1.7608    1.7607    1.7607    1.7606    1.7606
+
+  Columns 1165 through 1170
+
+    1.7605    1.7605    1.7605    1.7604    1.7604    1.7603
+
+  Columns 1171 through 1176
+
+    1.7603    1.7602    1.7602    1.7601    1.7601    1.7600
+
+  Columns 1177 through 1182
+
+    1.7599    1.7599    1.7598    1.7598    1.7597    1.7596
+
+  Columns 1183 through 1188
+
+    1.7596    1.7595    1.7595    1.7594    1.7593    1.7593
+
+  Columns 1189 through 1194
+
+    1.7592    1.7591    1.7591    1.7590    1.7589    1.7588
+
+  Columns 1195 through 1200
+
+    1.7588    1.7587    1.7586    1.7586    1.7585    1.7584
+
+  Columns 1201 through 1206
+
+    1.7583    1.7582    1.7582    1.7581    1.7580    1.7579
+
+  Columns 1207 through 1212
+
+    1.7578    1.7577    1.7577    1.7576    1.7575    1.7574
+
+  Columns 1213 through 1218
+
+    1.7573    1.7572    1.7571    1.7570    1.7569    1.7568
+
+  Columns 1219 through 1224
+
+    1.7567    1.7566    1.7565    1.7564    1.7563    1.7562
+
+  Columns 1225 through 1230
+
+    1.7561    1.7560    1.7559    1.7558    1.7557    1.7556
+
+  Columns 1231 through 1236
+
+    1.7555    1.7554    1.7553    1.7552    1.7551    1.7550
+
+  Columns 1237 through 1242
+
+    1.7549    1.7547    1.7546    1.7545    1.7544    1.7543
+
+  Columns 1243 through 1248
+
+    1.7542    1.7540    1.7539    1.7538    1.7537    1.7535
+
+  Columns 1249 through 1254
+
+    1.7534    1.7533    1.7532    1.7530    1.7529    1.7528
+
+  Columns 1255 through 1260
+
+    1.7527    1.7525    1.7524    1.7523    1.7521    1.7520
+
+  Columns 1261 through 1266
+
+    1.7519    1.7517    1.7516    1.7514    1.7513    1.7512
+
+  Columns 1267 through 1272
+
+    1.7510    1.7509    1.7507    1.7506    1.7505    1.7503
+
+  Columns 1273 through 1278
+
+    1.7502    1.7500    1.7499    1.7497    1.7496    1.7494
+
+  Columns 1279 through 1284
+
+    1.7493    1.7491    1.7490    1.7488    1.7486    1.7485
+
+  Columns 1285 through 1290
+
+    1.7483    1.7482    1.7480    1.7478    1.7477    1.7475
+
+  Columns 1291 through 1296
+
+    1.7474    1.7472    1.7470    1.7469    1.7467    1.7465
+
+  Columns 1297 through 1302
+
+    1.7464    1.7462    1.7460    1.7459    1.7457    1.7455
+
+  Columns 1303 through 1308
+
+    1.7453    1.7452    1.7450    1.7448    1.7446    1.7444
+
+  Columns 1309 through 1314
+
+    1.7443    1.7441    1.7439    1.7437    1.7435    1.7434
+
+  Columns 1315 through 1320
+
+    1.7432    1.7430    1.7428    1.7426    1.7424    1.7422
+
+  Columns 1321 through 1326
+
+    1.7420    1.7418    1.7417    1.7415    1.7413    1.7411
+
+  Columns 1327 through 1332
+
+    1.7409    1.7407    1.7405    1.7403    1.7401    1.7399
+
+  Columns 1333 through 1338
+
+    1.7397    1.7395    1.7393    1.7391    1.7389    1.7387
+
+  Columns 1339 through 1344
+
+    1.7385    1.7382    1.7380    1.7378    1.7376    1.7374
+
+  Columns 1345 through 1350
+
+    1.7372    1.7370    1.7368    1.7366    1.7363    1.7361
+
+  Columns 1351 through 1356
+
+    1.7359    1.7357    1.7355    1.7352    1.7350    1.7348
+
+  Columns 1357 through 1362
+
+    1.7346    1.7344    1.7341    1.7339    1.7337    1.7335
+
+  Columns 1363 through 1368
+
+    1.7332    1.7330    1.7328    1.7325    1.7323    1.7321
+
+  Columns 1369 through 1374
+
+    1.7318    1.7316    1.7314    1.7311    1.7309    1.7307
+
+  Columns 1375 through 1380
+
+    1.7304    1.7302    1.7299    1.7297    1.7295    1.7292
+
+  Columns 1381 through 1386
+
+    1.7290    1.7287    1.7285    1.7282    1.7280    1.7277
+
+  Columns 1387 through 1392
+
+    1.7275    1.7272    1.7270    1.7267    1.7265    1.7262
+
+  Columns 1393 through 1398
+
+    1.7260    1.7257    1.7255    1.7252    1.7249    1.7247
+
+  Columns 1399 through 1404
+
+    1.7244    1.7242    1.7239    1.7236    1.7234    1.7231
+
+  Columns 1405 through 1410
+
+    1.7228    1.7226    1.7223    1.7220    1.7218    1.7215
+
+  Columns 1411 through 1416
+
+    1.7212    1.7210    1.7207    1.7204    1.7202    1.7199
+
+  Columns 1417 through 1422
+
+    1.7196    1.7193    1.7190    1.7188    1.7185    1.7182
+
+  Columns 1423 through 1428
+
+    1.7179    1.7176    1.7174    1.7171    1.7168    1.7165
+
+  Columns 1429 through 1434
+
+    1.7162    1.7159    1.7157    1.7154    1.7151    1.7148
+
+  Columns 1435 through 1440
+
+    1.7145    1.7142    1.7139    1.7136    1.7133    1.7130
+
+  Columns 1441 through 1446
+
+    1.7127    1.7124    1.7121    1.7118    1.7115    1.7112
+
+  Columns 1447 through 1452
+
+    1.7109    1.7106    1.7103    1.7100    1.7097    1.7094
+
+  Columns 1453 through 1458
+
+    1.7091    1.7088    1.7085    1.7082    1.7079    1.7076
+
+  Columns 1459 through 1464
+
+    1.7073    1.7069    1.7066    1.7063    1.7060    1.7057
+
+  Columns 1465 through 1470
+
+    1.7054    1.7051    1.7047    1.7044    1.7041    1.7038
+
+  Columns 1471 through 1476
+
+    1.7035    1.7031    1.7028    1.7025    1.7022    1.7018
+
+  Columns 1477 through 1482
+
+    1.7015    1.7012    1.7009    1.7005    1.7002    1.6999
+
+  Columns 1483 through 1488
+
+    1.6995    1.6992    1.6989    1.6985    1.6982    1.6979
+
+  Columns 1489 through 1494
+
+    1.6975    1.6972    1.6969    1.6965    1.6962    1.6958
+
+  Columns 1495 through 1500
+
+    1.6955    1.6952    1.6948    1.6945    1.6941    1.6938
+
+  Columns 1501 through 1506
+
+    1.6934    1.6931    1.6927    1.6924    1.6920    1.6917
+
+  Columns 1507 through 1512
+
+    1.6913    1.6910    1.6906    1.6903    1.6899    1.6896
+
+  Columns 1513 through 1518
+
+    1.6892    1.6889    1.6885    1.6881    1.6878    1.6874
+
+  Columns 1519 through 1524
+
+    1.6871    1.6867    1.6863    1.6860    1.6856    1.6852
+
+  Columns 1525 through 1530
+
+    1.6849    1.6845    1.6841    1.6838    1.6834    1.6830
+
+  Columns 1531 through 1536
+
+    1.6827    1.6823    1.6819    1.6815    1.6812    1.6808
+
+  Columns 1537 through 1542
+
+    1.6804    1.6800    1.6797    1.6793    1.6789    1.6785
+
+  Columns 1543 through 1548
+
+    1.6781    1.6778    1.6774    1.6770    1.6766    1.6762
+
+  Columns 1549 through 1554
+
+    1.6758    1.6755    1.6751    1.6747    1.6743    1.6739
+
+  Columns 1555 through 1560
+
+    1.6735    1.6731    1.6727    1.6723    1.6719    1.6716
+
+  Columns 1561 through 1566
+
+    1.6712    1.6708    1.6704    1.6700    1.6696    1.6692
+
+  Columns 1567 through 1572
+
+    1.6688    1.6684    1.6680    1.6676    1.6672    1.6668
+
+  Columns 1573 through 1578
+
+    1.6664    1.6659    1.6655    1.6651    1.6647    1.6643
+
+  Columns 1579 through 1584
+
+    1.6639    1.6635    1.6631    1.6627    1.6623    1.6618
+
+  Columns 1585 through 1590
+
+    1.6614    1.6610    1.6606    1.6602    1.6598    1.6594
+
+  Columns 1591 through 1596
+
+    1.6589    1.6585    1.6581    1.6577    1.6572    1.6568
+
+  Columns 1597 through 1602
+
+    1.6564    1.6560    1.6556    1.6551    1.6547    1.6543
+
+  Columns 1603 through 1608
+
+    1.6538    1.6534    1.6530    1.6526    1.6521    1.6517
+
+  Columns 1609 through 1614
+
+    1.6513    1.6508    1.6504    1.6499    1.6495    1.6491
+
+  Columns 1615 through 1620
+
+    1.6486    1.6482    1.6478    1.6473    1.6469    1.6464
+
+  Columns 1621 through 1626
+
+    1.6460    1.6456    1.6451    1.6447    1.6442    1.6438
+
+  Columns 1627 through 1632
+
+    1.6433    1.6429    1.6424    1.6420    1.6415    1.6411
+
+  Columns 1633 through 1638
+
+    1.6406    1.6402    1.6397    1.6393    1.6388    1.6384
+
+  Columns 1639 through 1644
+
+    1.6379    1.6374    1.6370    1.6365    1.6361    1.6356
+
+  Columns 1645 through 1650
+
+    1.6351    1.6347    1.6342    1.6338    1.6333    1.6328
+
+  Columns 1651 through 1656
+
+    1.6324    1.6319    1.6314    1.6310    1.6305    1.6300
+
+  Columns 1657 through 1662
+
+    1.6295    1.6291    1.6286    1.6281    1.6277    1.6272
+
+  Columns 1663 through 1668
+
+    1.6267    1.6262    1.6258    1.6253    1.6248    1.6243
+
+  Columns 1669 through 1674
+
+    1.6238    1.6234    1.6229    1.6224    1.6219    1.6214
+
+  Columns 1675 through 1680
+
+    1.6209    1.6205    1.6200    1.6195    1.6190    1.6185
+
+  Columns 1681 through 1686
+
+    1.6180    1.6175    1.6170    1.6166    1.6161    1.6156
+
+  Columns 1687 through 1692
+
+    1.6151    1.6146    1.6141    1.6136    1.6131    1.6126
+
+  Columns 1693 through 1698
+
+    1.6121    1.6116    1.6111    1.6106    1.6101    1.6096
+
+  Columns 1699 through 1704
+
+    1.6091    1.6086    1.6081    1.6076    1.6071    1.6066
+
+  Columns 1705 through 1710
+
+    1.6061    1.6056    1.6051    1.6045    1.6040    1.6035
+
+  Columns 1711 through 1716
+
+    1.6030    1.6025    1.6020    1.6015    1.6010    1.6005
+
+  Columns 1717 through 1722
+
+    1.5999    1.5994    1.5989    1.5984    1.5979    1.5973
+
+  Columns 1723 through 1728
+
+    1.5968    1.5963    1.5958    1.5953    1.5947    1.5942
+
+  Columns 1729 through 1734
+
+    1.5937    1.5932    1.5926    1.5921    1.5916    1.5911
+
+  Columns 1735 through 1740
+
+    1.5905    1.5900    1.5895    1.5889    1.5884    1.5879
+
+  Columns 1741 through 1746
+
+    1.5873    1.5868    1.5863    1.5857    1.5852    1.5847
+
+  Columns 1747 through 1752
+
+    1.5841    1.5836    1.5830    1.5825    1.5820    1.5814
+
+  Columns 1753 through 1758
+
+    1.5809    1.5803    1.5798    1.5793    1.5787    1.5782
+
+  Columns 1759 through 1764
+
+    1.5776    1.5771    1.5765    1.5760    1.5754    1.5749
+
+  Columns 1765 through 1770
+
+    1.5743    1.5738    1.5732    1.5727    1.5721    1.5716
+
+  Columns 1771 through 1776
+
+    1.5710    1.5704    1.5699    1.5693    1.5688    1.5682
+
+  Columns 1777 through 1782
+
+    1.5677    1.5671    1.5665    1.5660    1.5654    1.5648
+
+  Columns 1783 through 1788
+
+    1.5643    1.5637    1.5632    1.5626    1.5620    1.5615
+
+  Columns 1789 through 1794
+
+    1.5609    1.5603    1.5597    1.5592    1.5586    1.5580
+
+  Columns 1795 through 1800
+
+    1.5575    1.5569    1.5563    1.5557    1.5552    1.5546
+
+  Columns 1801 through 1806
+
+    1.5540    1.5534    1.5529    1.5523    1.5517    1.5511
+
+  Columns 1807 through 1812
+
+    1.5505    1.5500    1.5494    1.5488    1.5482    1.5476
+
+  Columns 1813 through 1818
+
+    1.5470    1.5465    1.5459    1.5453    1.5447    1.5441
+
+  Columns 1819 through 1824
+
+    1.5435    1.5429    1.5423    1.5417    1.5411    1.5406
+
+  Columns 1825 through 1830
+
+    1.5400    1.5394    1.5388    1.5382    1.5376    1.5370
+
+  Columns 1831 through 1836
+
+    1.5364    1.5358    1.5352    1.5346    1.5340    1.5334
+
+  Columns 1837 through 1842
+
+    1.5328    1.5322    1.5316    1.5310    1.5304    1.5298
+
+  Columns 1843 through 1848
+
+    1.5292    1.5285    1.5279    1.5273    1.5267    1.5261
+
+  Columns 1849 through 1854
+
+    1.5255    1.5249    1.5243    1.5237    1.5231    1.5224
+
+  Columns 1855 through 1860
+
+    1.5218    1.5212    1.5206    1.5200    1.5194    1.5187
+
+  Columns 1861 through 1866
+
+    1.5181    1.5175    1.5169    1.5163    1.5156    1.5150
+
+  Columns 1867 through 1872
+
+    1.5144    1.5138    1.5131    1.5125    1.5119    1.5113
+
+  Columns 1873 through 1878
+
+    1.5106    1.5100    1.5094    1.5088    1.5081    1.5075
+
+  Columns 1879 through 1884
+
+    1.5069    1.5062    1.5056    1.5050    1.5043    1.5037
+
+  Columns 1885 through 1890
+
+    1.5031    1.5024    1.5018    1.5012    1.5005    1.4999
+
+  Columns 1891 through 1896
+
+    1.4992    1.4986    1.4980    1.4973    1.4967    1.4960
+
+  Columns 1897 through 1902
+
+    1.4954    1.4947    1.4941    1.4935    1.4928    1.4922
+
+  Columns 1903 through 1908
+
+    1.4915    1.4909    1.4902    1.4896    1.4889    1.4883
+
+  Columns 1909 through 1914
+
+    1.4876    1.4870    1.4863    1.4857    1.4850    1.4844
+
+  Columns 1915 through 1920
+
+    1.4837    1.4830    1.4824    1.4817    1.4811    1.4804
+
+  Columns 1921 through 1926
+
+    1.4797    1.4791    1.4784    1.4778    1.4771    1.4764
+
+  Columns 1927 through 1932
+
+    1.4758    1.4751    1.4744    1.4738    1.4731    1.4725
+
+  Columns 1933 through 1938
+
+    1.4718    1.4711    1.4704    1.4698    1.4691    1.4684
+
+  Columns 1939 through 1944
+
+    1.4678    1.4671    1.4664    1.4657    1.4651    1.4644
+
+  Columns 1945 through 1950
+
+    1.4637    1.4630    1.4624    1.4617    1.4610    1.4603
+
+  Columns 1951 through 1956
+
+    1.4597    1.4590    1.4583    1.4576    1.4569    1.4562
+
+  Columns 1957 through 1962
+
+    1.4556    1.4549    1.4542    1.4535    1.4528    1.4521
+
+  Columns 1963 through 1968
+
+    1.4514    1.4508    1.4501    1.4494    1.4487    1.4480
+
+  Columns 1969 through 1974
+
+    1.4473    1.4466    1.4459    1.4452    1.4445    1.4438
+
+  Columns 1975 through 1980
+
+    1.4431    1.4425    1.4418    1.4411    1.4404    1.4397
+
+  Columns 1981 through 1986
+
+    1.4390    1.4383    1.4376    1.4369    1.4362    1.4355
+
+  Columns 1987 through 1992
+
+    1.4348    1.4341    1.4333    1.4326    1.4319    1.4312
+
+  Columns 1993 through 1998
+
+    1.4305    1.4298    1.4291    1.4284    1.4277    1.4270
+
+  Columns 1999 through 2001
+
+    1.4263    1.4256    1.4248
+
+clear y
+x=0:0.01:2
+
+x =
+
+  Columns 1 through 6
+
+         0    0.0100    0.0200    0.0300    0.0400    0.0500
+
+  Columns 7 through 12
+
+    0.0600    0.0700    0.0800    0.0900    0.1000    0.1100
+
+  Columns 13 through 18
+
+    0.1200    0.1300    0.1400    0.1500    0.1600    0.1700
+
+  Columns 19 through 24
+
+    0.1800    0.1900    0.2000    0.2100    0.2200    0.2300
+
+  Columns 25 through 30
+
+    0.2400    0.2500    0.2600    0.2700    0.2800    0.2900
+
+  Columns 31 through 36
+
+    0.3000    0.3100    0.3200    0.3300    0.3400    0.3500
+
+  Columns 37 through 42
+
+    0.3600    0.3700    0.3800    0.3900    0.4000    0.4100
+
+  Columns 43 through 48
+
+    0.4200    0.4300    0.4400    0.4500    0.4600    0.4700
+
+  Columns 49 through 54
+
+    0.4800    0.4900    0.5000    0.5100    0.5200    0.5300
+
+  Columns 55 through 60
+
+    0.5400    0.5500    0.5600    0.5700    0.5800    0.5900
+
+  Columns 61 through 66
+
+    0.6000    0.6100    0.6200    0.6300    0.6400    0.6500
+
+  Columns 67 through 72
+
+    0.6600    0.6700    0.6800    0.6900    0.7000    0.7100
+
+  Columns 73 through 78
+
+    0.7200    0.7300    0.7400    0.7500    0.7600    0.7700
+
+  Columns 79 through 84
+
+    0.7800    0.7900    0.8000    0.8100    0.8200    0.8300
+
+  Columns 85 through 90
+
+    0.8400    0.8500    0.8600    0.8700    0.8800    0.8900
+
+  Columns 91 through 96
+
+    0.9000    0.9100    0.9200    0.9300    0.9400    0.9500
+
+  Columns 97 through 102
+
+    0.9600    0.9700    0.9800    0.9900    1.0000    1.0100
+
+  Columns 103 through 108
+
+    1.0200    1.0300    1.0400    1.0500    1.0600    1.0700
+
+  Columns 109 through 114
+
+    1.0800    1.0900    1.1000    1.1100    1.1200    1.1300
+
+  Columns 115 through 120
+
+    1.1400    1.1500    1.1600    1.1700    1.1800    1.1900
+
+  Columns 121 through 126
+
+    1.2000    1.2100    1.2200    1.2300    1.2400    1.2500
+
+  Columns 127 through 132
+
+    1.2600    1.2700    1.2800    1.2900    1.3000    1.3100
+
+  Columns 133 through 138
+
+    1.3200    1.3300    1.3400    1.3500    1.3600    1.3700
+
+  Columns 139 through 144
+
+    1.3800    1.3900    1.4000    1.4100    1.4200    1.4300
+
+  Columns 145 through 150
+
+    1.4400    1.4500    1.4600    1.4700    1.4800    1.4900
+
+  Columns 151 through 156
+
+    1.5000    1.5100    1.5200    1.5300    1.5400    1.5500
+
+  Columns 157 through 162
+
+    1.5600    1.5700    1.5800    1.5900    1.6000    1.6100
+
+  Columns 163 through 168
+
+    1.6200    1.6300    1.6400    1.6500    1.6600    1.6700
+
+  Columns 169 through 174
+
+    1.6800    1.6900    1.7000    1.7100    1.7200    1.7300
+
+  Columns 175 through 180
+
+    1.7400    1.7500    1.7600    1.7700    1.7800    1.7900
+
+  Columns 181 through 186
+
+    1.8000    1.8100    1.8200    1.8300    1.8400    1.8500
+
+  Columns 187 through 192
+
+    1.8600    1.8700    1.8800    1.8900    1.9000    1.9100
+
+  Columns 193 through 198
+
+    1.9200    1.9300    1.9400    1.9500    1.9600    1.9700
+
+  Columns 199 through 201
+
+    1.9800    1.9900    2.0000
+
+y=8-2*x-7*exp(-x/2); graph(x,y);
+{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.MLGraph')" style="font-weight:bold">matlab.internal.graph.MLGraph</a>
+Source must be a dense double array of positive integer node
+indices.
+
+Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.constructFromEdgeList', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m', 136)" style="font-weight:bold">matlab.internal.graph.constructFromEdgeList</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m',136,0)">line 136</a>)
+    G = underlyingCtor(s, t, totalNodes);
+
+Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('graph', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m', 298)" style="font-weight:bold">graph</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m',298,0)">line 298</a>)
+                matlab.internal.graph.constructFromEdgeList(...
+} 
+y=8-2*x-7*exp(-x/2);
+graph(x,y)
+{Error using <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.MLGraph')" style="font-weight:bold">matlab.internal.graph.MLGraph</a>
+Source must be a dense double array of positive integer node
+indices.
+
+Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('matlab.internal.graph.constructFromEdgeList', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m', 136)" style="font-weight:bold">matlab.internal.graph.constructFromEdgeList</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/+matlab/+internal/+graph/constructFromEdgeList.m',136,0)">line 136</a>)
+    G = underlyingCtor(s, t, totalNodes);
+
+Error in <a href="matlab:matlab.internal.language.introspective.errorDocCallback('graph', '/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m', 298)" style="font-weight:bold">graph</a> (<a href="matlab: opentoline('/soft/MATLAB/R2018a/toolbox/matlab/graphfun/@graph/graph.m',298,0)">line 298</a>)
+                matlab.internal.graph.constructFromEdgeList(...
+} 
+plot(x,y);
+hold off
+clear
+N=5; eulerN; plot(t,y);
+hold on
+N=10; eulerN; plot(t,y);
+N=20; eulerN; plot(t,y);
+N=40; eulerN; plot(t,y);
+N=80; eulerN; plot(t,y);
+x=0:0.01:2
+
+x =
+
+  Columns 1 through 6
+
+         0    0.0100    0.0200    0.0300    0.0400    0.0500
+
+  Columns 7 through 12
+
+    0.0600    0.0700    0.0800    0.0900    0.1000    0.1100
+
+  Columns 13 through 18
+
+    0.1200    0.1300    0.1400    0.1500    0.1600    0.1700
+
+  Columns 19 through 24
+
+    0.1800    0.1900    0.2000    0.2100    0.2200    0.2300
+
+  Columns 25 through 30
+
+    0.2400    0.2500    0.2600    0.2700    0.2800    0.2900
+
+  Columns 31 through 36
+
+    0.3000    0.3100    0.3200    0.3300    0.3400    0.3500
+
+  Columns 37 through 42
+
+    0.3600    0.3700    0.3800    0.3900    0.4000    0.4100
+
+  Columns 43 through 48
+
+    0.4200    0.4300    0.4400    0.4500    0.4600    0.4700
+
+  Columns 49 through 54
+
+    0.4800    0.4900    0.5000    0.5100    0.5200    0.5300
+
+  Columns 55 through 60
+
+    0.5400    0.5500    0.5600    0.5700    0.5800    0.5900
+
+  Columns 61 through 66
+
+    0.6000    0.6100    0.6200    0.6300    0.6400    0.6500
+
+  Columns 67 through 72
+
+    0.6600    0.6700    0.6800    0.6900    0.7000    0.7100
+
+  Columns 73 through 78
+
+    0.7200    0.7300    0.7400    0.7500    0.7600    0.7700
+
+  Columns 79 through 84
+
+    0.7800    0.7900    0.8000    0.8100    0.8200    0.8300
+
+  Columns 85 through 90
+
+    0.8400    0.8500    0.8600    0.8700    0.8800    0.8900
+
+  Columns 91 through 96
+
+    0.9000    0.9100    0.9200    0.9300    0.9400    0.9500
+
+  Columns 97 through 102
+
+    0.9600    0.9700    0.9800    0.9900    1.0000    1.0100
+
+  Columns 103 through 108
+
+    1.0200    1.0300    1.0400    1.0500    1.0600    1.0700
+
+  Columns 109 through 114
+
+    1.0800    1.0900    1.1000    1.1100    1.1200    1.1300
+
+  Columns 115 through 120
+
+    1.1400    1.1500    1.1600    1.1700    1.1800    1.1900
+
+  Columns 121 through 126
+
+    1.2000    1.2100    1.2200    1.2300    1.2400    1.2500
+
+  Columns 127 through 132
+
+    1.2600    1.2700    1.2800    1.2900    1.3000    1.3100
+
+  Columns 133 through 138
+
+    1.3200    1.3300    1.3400    1.3500    1.3600    1.3700
+
+  Columns 139 through 144
+
+    1.3800    1.3900    1.4000    1.4100    1.4200    1.4300
+
+  Columns 145 through 150
+
+    1.4400    1.4500    1.4600    1.4700    1.4800    1.4900
+
+  Columns 151 through 156
+
+    1.5000    1.5100    1.5200    1.5300    1.5400    1.5500
+
+  Columns 157 through 162
+
+    1.5600    1.5700    1.5800    1.5900    1.6000    1.6100
+
+  Columns 163 through 168
+
+    1.6200    1.6300    1.6400    1.6500    1.6600    1.6700
+
+  Columns 169 through 174
+
+    1.6800    1.6900    1.7000    1.7100    1.7200    1.7300
+
+  Columns 175 through 180
+
+    1.7400    1.7500    1.7600    1.7700    1.7800    1.7900
+
+  Columns 181 through 186
+
+    1.8000    1.8100    1.8200    1.8300    1.8400    1.8500
+
+  Columns 187 through 192
+
+    1.8600    1.8700    1.8800    1.8900    1.9000    1.9100
+
+  Columns 193 through 198
+
+    1.9200    1.9300    1.9400    1.9500    1.9600    1.9700
+
+  Columns 199 through 201
+
+    1.9800    1.9900    2.0000
+
+z=8-2*x-7*exp(-x/2); plot(x,z);
+z=8-2*x-7*exp(-x/2)
+
+z =
+
+  Columns 1 through 6
+
+    1.0000    1.0149    1.0297    1.0442    1.0586    1.0728
+
+  Columns 7 through 12
+
+    1.0869    1.1008    1.1145    1.1280    1.1414    1.1546
+
+  Columns 13 through 18
+
+    1.1676    1.1805    1.1932    1.2058    1.2182    1.2304
+
+  Columns 19 through 24
+
+    1.2425    1.2544    1.2661    1.2777    1.2892    1.3004
+
+  Columns 25 through 30
+
+    1.3116    1.3225    1.3333    1.3440    1.3545    1.3648
+
+  Columns 31 through 36
+
+    1.3750    1.3851    1.3950    1.4047    1.4143    1.4238
+
+  Columns 37 through 42
+
+    1.4331    1.4423    1.4513    1.4602    1.4689    1.4775
+
+  Columns 43 through 48
+
+    1.4859    1.4942    1.5024    1.5104    1.5183    1.5260
+
+  Columns 49 through 54
+
+    1.5336    1.5411    1.5484    1.5556    1.5626    1.5696
+
+  Columns 55 through 60
+
+    1.5763    1.5830    1.5895    1.5959    1.6022    1.6083
+
+  Columns 61 through 66
+
+    1.6143    1.6201    1.6259    1.6315    1.6370    1.6423
+
+  Columns 67 through 72
+
+    1.6475    1.6526    1.6576    1.6625    1.6672    1.6718
+
+  Columns 73 through 78
+
+    1.6763    1.6806    1.6849    1.6890    1.6930    1.6968
+
+  Columns 79 through 84
+
+    1.7006    1.7042    1.7078    1.7112    1.7144    1.7176
+
+  Columns 85 through 90
+
+    1.7207    1.7236    1.7264    1.7291    1.7317    1.7342
+
+  Columns 91 through 96
+
+    1.7366    1.7389    1.7410    1.7431    1.7450    1.7468
+
+  Columns 97 through 102
+
+    1.7485    1.7501    1.7516    1.7530    1.7543    1.7555
+
+  Columns 103 through 108
+
+    1.7565    1.7575    1.7584    1.7591    1.7598    1.7603
+
+  Columns 109 through 114
+
+    1.7608    1.7611    1.7614    1.7615    1.7615    1.7615
+
+  Columns 115 through 120
+
+    1.7613    1.7611    1.7607    1.7603    1.7597    1.7591
+
+  Columns 121 through 126
+
+    1.7583    1.7575    1.7565    1.7555    1.7544    1.7532
+
+  Columns 127 through 132
+
+    1.7519    1.7505    1.7490    1.7474    1.7457    1.7439
+
+  Columns 133 through 138
+
+    1.7420    1.7401    1.7380    1.7359    1.7337    1.7314
+
+  Columns 139 through 144
+
+    1.7290    1.7265    1.7239    1.7212    1.7185    1.7157
+
+  Columns 145 through 150
+
+    1.7127    1.7097    1.7066    1.7035    1.7002    1.6969
+
+  Columns 151 through 156
+
+    1.6934    1.6899    1.6863    1.6827    1.6789    1.6751
+
+  Columns 157 through 162
+
+    1.6712    1.6672    1.6631    1.6589    1.6547    1.6504
+
+  Columns 163 through 168
+
+    1.6460    1.6415    1.6370    1.6324    1.6277    1.6229
+
+  Columns 169 through 174
+
+    1.6180    1.6131    1.6081    1.6030    1.5979    1.5926
+
+  Columns 175 through 180
+
+    1.5873    1.5820    1.5765    1.5710    1.5654    1.5597
+
+  Columns 181 through 186
+
+    1.5540    1.5482    1.5423    1.5364    1.5304    1.5243
+
+  Columns 187 through 192
+
+    1.5181    1.5119    1.5056    1.4992    1.4928    1.4863
+
+  Columns 193 through 198
+
+    1.4797    1.4731    1.4664    1.4597    1.4528    1.4459
+
+  Columns 199 through 201
+
+    1.4390    1.4319    1.4248
+
+z=8-2*x-7*exp(-x/2);
+plot(x,z)
+N=5; eulerN; plot(t,y);
+clear
+N=5; eulerN; plot(t,y);
+clear
+N=5; eulerN; plot(t,y);
+N=10; eulerN; plot(t,y);
+clear
+N=10; eulerN; plot(t,y);
+N=5; eulerN; plot(t,y);
+hold on
+N=10; eulerN; plot(t,y);
+clear
+N=5; eulerN; plot(t,y);
+hold on
+clear; N=10; eulerN; plot(t,y);
+clear; N=20; eulerN; plot(t,y);
+clear; N=40; eulerN; plot(t,y);
+clear; N=80; eulerN; plot(t,y);
+z=8-2*x-7*exp(-x/2); plot(x,z);
+{Undefined function or variable 'x'.
+} 
+x=0:0.01:2
+
+x =
+
+  Columns 1 through 6
+
+         0    0.0100    0.0200    0.0300    0.0400    0.0500
+
+  Columns 7 through 12
+
+    0.0600    0.0700    0.0800    0.0900    0.1000    0.1100
+
+  Columns 13 through 18
+
+    0.1200    0.1300    0.1400    0.1500    0.1600    0.1700
+
+  Columns 19 through 24
+
+    0.1800    0.1900    0.2000    0.2100    0.2200    0.2300
+
+  Columns 25 through 30
+
+    0.2400    0.2500    0.2600    0.2700    0.2800    0.2900
+
+  Columns 31 through 36
+
+    0.3000    0.3100    0.3200    0.3300    0.3400    0.3500
+
+  Columns 37 through 42
+
+    0.3600    0.3700    0.3800    0.3900    0.4000    0.4100
+
+  Columns 43 through 48
+
+    0.4200    0.4300    0.4400    0.4500    0.4600    0.4700
+
+  Columns 49 through 54
+
+    0.4800    0.4900    0.5000    0.5100    0.5200    0.5300
+
+  Columns 55 through 60
+
+    0.5400    0.5500    0.5600    0.5700    0.5800    0.5900
+
+  Columns 61 through 66
+
+    0.6000    0.6100    0.6200    0.6300    0.6400    0.6500
+
+  Columns 67 through 72
+
+    0.6600    0.6700    0.6800    0.6900    0.7000    0.7100
+
+  Columns 73 through 78
+
+    0.7200    0.7300    0.7400    0.7500    0.7600    0.7700
+
+  Columns 79 through 84
+
+    0.7800    0.7900    0.8000    0.8100    0.8200    0.8300
+
+  Columns 85 through 90
+
+    0.8400    0.8500    0.8600    0.8700    0.8800    0.8900
+
+  Columns 91 through 96
+
+    0.9000    0.9100    0.9200    0.9300    0.9400    0.9500
+
+  Columns 97 through 102
+
+    0.9600    0.9700    0.9800    0.9900    1.0000    1.0100
+
+  Columns 103 through 108
+
+    1.0200    1.0300    1.0400    1.0500    1.0600    1.0700
+
+  Columns 109 through 114
+
+    1.0800    1.0900    1.1000    1.1100    1.1200    1.1300
+
+  Columns 115 through 120
+
+    1.1400    1.1500    1.1600    1.1700    1.1800    1.1900
+
+  Columns 121 through 126
+
+    1.2000    1.2100    1.2200    1.2300    1.2400    1.2500
+
+  Columns 127 through 132
+
+    1.2600    1.2700    1.2800    1.2900    1.3000    1.3100
+
+  Columns 133 through 138
+
+    1.3200    1.3300    1.3400    1.3500    1.3600    1.3700
+
+  Columns 139 through 144
+
+    1.3800    1.3900    1.4000    1.4100    1.4200    1.4300
+
+  Columns 145 through 150
+
+    1.4400    1.4500    1.4600    1.4700    1.4800    1.4900
+
+  Columns 151 through 156
+
+    1.5000    1.5100    1.5200    1.5300    1.5400    1.5500
+
+  Columns 157 through 162
+
+    1.5600    1.5700    1.5800    1.5900    1.6000    1.6100
+
+  Columns 163 through 168
+
+    1.6200    1.6300    1.6400    1.6500    1.6600    1.6700
+
+  Columns 169 through 174
+
+    1.6800    1.6900    1.7000    1.7100    1.7200    1.7300
+
+  Columns 175 through 180
+
+    1.7400    1.7500    1.7600    1.7700    1.7800    1.7900
+
+  Columns 181 through 186
+
+    1.8000    1.8100    1.8200    1.8300    1.8400    1.8500
+
+  Columns 187 through 192
+
+    1.8600    1.8700    1.8800    1.8900    1.9000    1.9100
+
+  Columns 193 through 198
+
+    1.9200    1.9300    1.9400    1.9500    1.9600    1.9700
+
+  Columns 199 through 201
+
+    1.9800    1.9900    2.0000
+
+z=8-2*x-7*exp(-x/2); plot(x,z);
+z=8-2*2-7*exp(-2/2);%exact solution at t=2for k=1:5N=5*2^(k-1);eulerN;%difference between Euler approximation and exact solution at t=2.error(k)=y(N+1)-z;end
+clear
+approx;
+error
+
+error =
+
+    0.2814    0.1344    0.0658    0.0325    0.0162
+
+error(2)/2
+
+ans =
+
+    0.0672
+
+clear
+diary off]