{"text_format":"1","workbook":"xlsx","n_sheets":8,"sheets":["Aufgabe1","Aufgabe2","Aufgabe3","Aufgabe4","Aufgabe5","Aufgabe6","Aufgabe7","Summary"],"not_rendered":{"charts":0,"images":0,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Aufgabe1","index":0,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"Aufgabe2","index":1,"n_rows":137,"n_cols":4,"rows_kept":137,"cut":false,"hidden":false,"merged":[]}
["x_0",2]
[]
[]
[]
[]
[]
[]
[]
[]
["x","f(x)","first order","second order"]
[-6.3]
[-6.2]
[-6.1]
[-6]
[-5.9]
[-5.8]
[-5.7]
[-5.6]
[-5.5]
[-5.4]
[-5.3]
[-5.2]
[-5.0999999999999996]
[-5.0000000000000098]
[-4.9000000000000101]
[-4.8000000000000096]
[-4.7000000000000099]
[-4.6000000000000103]
[-4.5000000000000098]
[-4.4000000000000101]
[-4.3000000000000096]
[-4.2000000000000099]
[-4.1000000000000103]
[-4.0000000000000098]
[-3.9000000000000101]
[-3.80000000000001]
[-3.7000000000000099]
[-3.6000000000000099]
[-3.5000000000000102]
[-3.4000000000000101]
[-3.30000000000001]
[-3.2000000000000099]
[-3.1000000000000099]
[-3.0000000000000102]
[-2.9000000000000101]
[-2.80000000000001]
[-2.7000000000000099]
[-2.6000000000000099]
[-2.5000000000000102]
[-2.4000000000000101]
[-2.30000000000001]
[-2.2000000000000202]
[-2.1000000000000201]
[-2.00000000000002]
[-1.9000000000000199]
[-1.80000000000002]
[-1.7000000000000199]
[-1.6000000000000201]
[-1.50000000000002]
[-1.4000000000000199]
[-1.30000000000002]
[-1.2000000000000199]
[-1.1000000000000201]
[-1.00000000000002]
[-0.90000000000002001]
[-0.80000000000002003]
[-0.70000000000002005]
[-0.60000000000001996]
[-0.50000000000001998]
[-0.40000000000002001]
[-0.30000000000001997]
[-0.20000000000002]
[-0.10000000000002]
[-2.0428103653102899E-14]
[9.9999999999980105E-2]
[0.19999999999998]
[0.29999999999998]
[0.39999999999997998]
[0.49999999999998002]
[0.59999999999997]
[0.69999999999996998]
[0.79999999999996996]
[0.89999999999997005]
[0.99999999999997002]
[1.0999999999999699]
[1.19999999999997]
[1.2999999999999701]
[1.3999999999999699]
[1.49999999999997]
[1.5999999999999699]
[1.69999999999997]
[1.7999999999999701]
[1.8999999999999699]
[1.99999999999997]
[2.0999999999999699]
[2.19999999999997]
[2.2999999999999701]
[2.3999999999999702]
[2.4999999999999698]
[2.5999999999999699]
[2.69999999999997]
[2.7999999999999701]
[2.8999999999999702]
[2.9999999999999698]
[3.0999999999999699]
[3.19999999999997]
[3.2999999999999701]
[3.3999999999999599]
[3.49999999999996]
[3.6]
[3.7]
[3.8]
[3.9]
[4]
[4.0999999999999996]
[4.2]
[4.3]
[4.4000000000000004]
[4.5]
[4.5999999999999996]
[4.7]
[4.8]
[4.9000000000000004]
[5]
[5.0999999999999996]
[5.2]
[5.3]
[5.4]
[5.5]
[5.6]
[5.7]
[5.8]
[5.9]
[6]
[6.1]
[6.2]
[6.3]

{"sheet":"Aufgabe3","index":2,"n_rows":10,"n_cols":2,"rows_kept":10,"cut":false,"hidden":false,"merged":[]}
["n",6]
["alpha",2]
[]
[]
[]
[]
[]
[]
[]
["A:"]

{"sheet":"Aufgabe4","index":3,"n_rows":110,"n_cols":3,"rows_kept":110,"cut":false,"hidden":false,"merged":[]}
["N",1000]
[]
[]
[]
[]
[]
[]
[]
["x","Riemannsche Summe","arctan(x), Excel-Fktn."]
[0]
[0.1]
[0.2]
[0.3]
[0.4]
[0.5]
[0.6]
[0.7]
[0.8]
[0.9]
[1]
[1.1000000000000001]
[1.2]
[1.3]
[1.4]
[1.5]
[1.6]
[1.7]
[1.8]
[1.9]
[2]
[2.1]
[2.2000000000000002]
[2.2999999999999998]
[2.4]
[2.5]
[2.6]
[2.7]
[2.8]
[2.9]
[3]
[3.1]
[3.2]
[3.3]
[3.4]
[3.5]
[3.6]
[3.7]
[3.8]
[3.9]
[4]
[4.0999999999999996]
[4.2]
[4.3]
[4.4000000000000004]
[4.5]
[4.5999999999999996]
[4.7]
[4.8]
[4.9000000000000004]
[5]
[5.0999999999999996]
[5.2]
[5.3]
[5.4]
[5.5]
[5.6]
[5.7]
[5.8]
[5.9]
[6]
[6.1]
[6.2]
[6.3]
[6.4]
[6.5]
[6.6]
[6.7]
[6.8]
[6.9]
[7]
[7.1]
[7.2]
[7.3]
[7.4]
[7.5]
[7.6]
[7.7]
[7.8]
[7.9]
[8]
[8.1]
[8.1999999999999993]
[8.3000000000000007]
[8.4]
[8.5]
[8.6]
[8.6999999999999993]
[8.8000000000000007]
[8.9]
[9]
[9.1]
[9.1999999999999993]
[9.3000000000000007]
[9.4]
[9.5]
[9.6]
[9.6999999999999993]
[9.8000000000000007]
[9.9]
[10]

{"sheet":"Aufgabe5","index":4,"n_rows":1024,"n_cols":4,"rows_kept":1024,"cut":false,"hidden":false,"merged":[]}
["mean  mu_ret:"]
["stddev  sigma_ret:"]
[]
[]
[]
[]
[]
[]
["Date","SP500 Adj Close","ret(t_k)","normret(t_k)"]
["2011-01-01",0]
["2011-01-02",0]
["2011-01-03",1271.869995]
["2011-01-04",1270.1999510000001]
["2011-01-05",1276.5600589999999]
["2011-01-06",1273.849976]
["2011-01-07",1271.5]
["2011-01-10",1269.75]
["2011-01-11",1274.4799800000001]
["2011-01-12",1285.959961]
["2011-01-13",1283.76001]
["2011-01-14",1293.23999]
["2011-01-18",1295.0200199999999]
["2011-01-19",1281.920044]
["2011-01-20",1280.26001]
["2011-01-21",1283.349976]
["2011-01-24",1290.839966]
["2011-01-25",1291.1800539999999]
["2011-01-26",1296.630005]
["2011-01-27",1299.540039]
["2011-01-28",1276.339966]
["2011-01-31",1286.119995]
["2011-02-01",1307.589966]
["2011-02-02",1304.030029]
["2011-02-03",1307.099976]
["2011-02-04",1310.869995]
["2011-02-07",1319.0500489999999]
["2011-02-08",1324.5699460000001]
["2011-02-09",1320.880005]
["2011-02-10",1321.869995]
["2011-02-11",1329.150024]
["2011-02-14",1332.3199460000001]
["2011-02-15",1328.01001]
["2011-02-16",1336.3199460000001]
["2011-02-17",1340.4300539999999]
["2011-02-18",1343.01001]
["2011-02-22",1315.4399410000001]
["2011-02-23",1307.400024]
["2011-02-24",1306.099976]
["2011-02-25",1319.880005]
["2011-02-28",1327.219971]
["2011-03-01",1306.329956]
["2011-03-02",1308.4399410000001]
["2011-03-03",1330.969971]
["2011-03-04",1321.150024]
["2011-03-07",1310.130005]
["2011-03-08",1321.8199460000001]
["2011-03-09",1320.0200199999999]
["2011-03-10",1295.1099850000001]
["2011-03-11",1304.280029]
["2011-03-14",1296.3900149999999]
["2011-03-15",1281.869995]
["2011-03-16",1256.880005]
["2011-03-17",1273.719971]
["2011-03-18",1279.209961]
["2011-03-21",1298.380005]
["2011-03-22",1293.7700199999999]
["2011-03-23",1297.540039]
["2011-03-24",1309.660034]
["2011-03-25",1313.8000489999999]
["2011-03-28",1310.1899410000001]
["2011-03-29",1319.4399410000001]
["2011-03-30",1328.26001]
["2011-03-31",1325.829956]
["2011-04-01",1332.410034]
["2011-04-04",1332.869995]
["2011-04-05",1332.630005]
["2011-04-06",1335.540039]
["2011-04-07",1333.51001]
["2011-04-08",1328.170044]
["2011-04-11",1324.459961]
["2011-04-12",1314.160034]
["2011-04-13",1314.410034]
["2011-04-14",1314.5200199999999]
["2011-04-15",1319.6800539999999]
["2011-04-18",1305.1400149999999]
["2011-04-19",1312.619995]
["2011-04-20",1330.3599850000001]
["2011-04-21",1337.380005]
["2011-04-25",1335.25]
["2011-04-26",1347.23999]
["2011-04-27",1355.660034]
["2011-04-28",1360.4799800000001]
["2011-04-29",1363.6099850000001]
["2011-05-01",0]
["2011-05-02",1361.219971]
["2011-05-03",1356.619995]
["2011-05-04",1347.3199460000001]
["2011-05-05",1335.099976]
["2011-05-06",1340.1999510000001]
["2011-05-09",1346.290039]
["2011-05-10",1357.160034]
["2011-05-11",1342.079956]
["2011-05-12",1348.650024]
["2011-05-13",1337.7700199999999]
["2011-05-16",1329.469971]
["2011-05-17",1328.9799800000001]
["2011-05-18",1340.6800539999999]
["2011-05-19",1343.599976]
["2011-05-20",1333.2700199999999]
["2011-05-23",1317.369995]
["2011-05-24",1316.280029]
["2011-05-25",1320.469971]
["2011-05-26",1325.6899410000001]
["2011-05-27",1331.099976]
["2011-05-31",1345.1999510000001]
["2011-06-01",1314.5500489999999]
["2011-06-02",1312.9399410000001]
["2011-06-03",1300.160034]
["2011-06-06",1286.170044]
["2011-06-07",1284.9399410000001]
["2011-06-08",1279.5600589999999]
["2011-06-09",1289]
["2011-06-10",1270.9799800000001]
["2011-06-13",1271.829956]
["2011-06-14",1287.869995]
["2011-06-15",1265.420044]
["2011-06-16",1267.6400149999999]
["2011-06-17",1271.5]
["2011-06-20",1278.3599850000001]
["2011-06-21",1295.5200199999999]
["2011-06-22",1287.1400149999999]
["2011-06-23",1283.5]
["2011-06-24",1268.4499510000001]
["2011-06-27",1280.099976]
["2011-06-28",1296.670044]
["2011-06-29",1307.410034]
["2011-06-30",1320.6400149999999]
["2011-07-01",1339.670044]
["2011-07-05",1337.880005]
["2011-07-06",1339.219971]
["2011-07-07",1353.219971]
["2011-07-08",1343.8000489999999]
["2011-07-11",1319.48999]
["2011-07-12",1313.6400149999999]
["2011-07-13",1317.719971]
["2011-07-14",1308.869995]
["2011-07-15",1316.1400149999999]
["2011-07-18",1305.4399410000001]
["2011-07-19",1326.7299800000001]
["2011-07-20",1325.839966]
["2011-07-21",1343.8000489999999]
["2011-07-22",1345.0200199999999]
["2011-07-25",1337.4300539999999]
["2011-07-26",1331.9399410000001]
["2011-07-27",1304.8900149999999]
["2011-07-28",1300.670044]
["2011-07-29",1292.280029]
["2011-08-01",1286.9399410000001]
["2011-08-02",1254.0500489999999]
["2011-08-03",1260.339966]
["2011-08-04",1200.0699460000001]
["2011-08-05",1199.380005]
["2011-08-08",1119.459961]
["2011-08-09",1172.530029]
["2011-08-10",1120.76001]
["2011-08-11",1172.6400149999999]
["2011-08-12",1178.8100589999999]
["2011-08-15",1204.48999]
["2011-08-16",1192.76001]
["2011-08-17",1193.8900149999999]
["2011-08-18",1140.650024]
["2011-08-19",1123.530029]
["2011-08-22",1123.8199460000001]
["2011-08-23",1162.349976]
["2011-08-24",1177.599976]
["2011-08-25",1159.2700199999999]
["2011-08-26",1176.8000489999999]
["2011-08-29",1210.079956]
["2011-08-30",1212.920044]
["2011-08-31",1218.8900149999999]
["2011-09-01",1204.420044]
["2011-09-02",1173.969971]
["2011-09-06",1165.23999]
["2011-09-07",1198.619995]
["2011-09-08",1185.900024]
["2011-09-09",1154.2299800000001]
["2011-09-12",1162.2700199999999]
["2011-09-13",1172.869995]
["2011-09-14",1188.6800539999999]
["2011-09-15",1209.1099850000001]
["2011-09-16",1216.01001]
["2011-09-19",1204.089966]
["2011-09-20",1202.089966]
["2011-09-21",1166.76001]
["2011-09-22",1129.5600589999999]
["2011-09-23",1136.4300539999999]
["2011-09-26",1162.9499510000001]
["2011-09-27",1175.380005]
["2011-09-28",1151.0600589999999]
["2011-09-29",1160.400024]
["2011-09-30",1131.420044]
["2011-10-03",1099.2299800000001]
["2011-10-04",1123.9499510000001]
["2011-10-05",1144.030029]
["2011-10-06",1164.969971]
["2011-10-07",1155.459961]
["2011-10-10",1194.8900149999999]
["2011-10-11",1195.540039]
["2011-10-12",1207.25]
["2011-10-13",1203.660034]
["2011-10-14",1224.579956]
["2011-10-17",1200.8599850000001]
["2011-10-18",1225.380005]
["2011-10-19",1209.880005]
["2011-10-20",1215.3900149999999]
["2011-10-21",1238.25]
["2011-10-24",1254.1899410000001]
["2011-10-25",1229.0500489999999]
["2011-10-26",1242]
["2011-10-27",1284.589966]
["2011-10-28",1285.089966]
["2011-10-31",1253.3000489999999]
["2011-11-01",1218.280029]
["2011-11-02",1237.900024]
["2011-11-03",1261.150024]
["2011-11-04",1253.2299800000001]
["2011-11-07",1261.119995]
["2011-11-08",1275.920044]
["2011-11-09",1229.099976]
["2011-11-10",1239.6999510000001]
["2011-11-11",1263.849976]
["2011-11-14",1251.780029]
["2011-11-15",1257.8100589999999]
["2011-11-16",1236.910034]
["2011-11-17",1216.130005]
["2011-11-18",1215.650024]
["2011-11-21",1192.9799800000001]
["2011-11-22",1188.040039]
["2011-11-23",1161.790039]
["2011-11-25",1158.670044]
["2011-11-28",1192.5500489999999]
["2011-11-29",1195.1899410000001]
["2011-11-30",1246.959961]
["2011-12-01",1244.579956]
["2011-12-02",1244.280029]
["2011-12-05",1257.079956]
["2011-12-06",1258.469971]
["2011-12-07",1261.01001]
["2011-12-08",1234.349976]
["2011-12-09",1255.1899410000001]
["2011-12-12",1236.469971]
["2011-12-13",1225.7299800000001]
["2011-12-14",1211.8199460000001]
["2011-12-15",1215.75]
["2011-12-16",1219.660034]
["2011-12-19",1205.349976]
["2011-12-20",1241.3000489999999]
["2011-12-21",1243.719971]
["2011-12-22",1254]
["2011-12-23",1265.329956]
["2011-12-24",0]
["2011-12-25",0]
["2011-12-26",0]
["2011-12-27",1265.4300539999999]
["2011-12-28",1249.6400149999999]
["2011-12-29",1263.0200199999999]
["2011-12-30",1257.599976]
["2012-01-03",1277.0600589999999]
["2012-01-04",1277.3000489999999]
["2012-01-05",1281.0600589999999]
["2012-01-06",1277.8100589999999]
["2012-01-09",1280.6999510000001]
["2012-01-10",1292.079956]
["2012-01-11",1292.4799800000001]
["2012-01-12",1295.5]
["2012-01-13",1289.089966]
["2012-01-17",1293.670044]
["2012-01-18",1308.040039]
["2012-01-19",1314.5]
["2012-01-20",1315.380005]
["2012-01-23",1316]
["2012-01-24",1314.650024]
["2012-01-25",1326.0600589999999]
["2012-01-26",1318.4300539999999]
["2012-01-27",1316.329956]
["2012-01-30",1313.01001]
["2012-01-31",1312.410034]
["2012-02-01",1324.089966]
["2012-02-02",1325.540039]
["2012-02-03",1344.900024]
["2012-02-06",1344.329956]
["2012-02-07",1347.0500489999999]
["2012-02-08",1349.959961]
["2012-02-09",1351.9499510000001]
["2012-02-10",1342.6400149999999]
["2012-02-13",1351.7700199999999]
["2012-02-14",1350.5]
["2012-02-15",1343.2299800000001]
["2012-02-16",1358.040039]
["2012-02-17",1361.2299800000001]
["2012-02-21",1362.209961]
["2012-02-22",1357.660034]
["2012-02-23",1363.459961]
["2012-02-24",1365.73999]
["2012-02-27",1367.589966]
["2012-02-28",1372.1800539999999]
["2012-02-29",1365.6800539999999]
["2012-03-01",1374.089966]
["2012-03-02",1369.630005]
["2012-03-05",1364.329956]
["2012-03-06",1343.3599850000001]
["2012-03-07",1352.630005]
["2012-03-08",1365.910034]
["2012-03-09",1370.869995]
["2012-03-12",1371.089966]
["2012-03-13",1395.9499510000001]
["2012-03-14",1394.280029]
["2012-03-15",1402.599976]
["2012-03-16",1404.170044]
["2012-03-19",1409.75]
["2012-03-20",1405.5200199999999]
["2012-03-21",1402.8900149999999]
["2012-03-22",1392.780029]
["2012-03-23",1397.1099850000001]
["2012-03-26",1416.51001]
["2012-03-27",1412.5200199999999]
["2012-03-28",1405.540039]
["2012-03-29",1403.280029]
["2012-03-30",1408.469971]
["2012-04-02",1419.040039]
["2012-04-03",1413.380005]
["2012-04-04",1398.959961]
["2012-04-05",1398.079956]
["2012-04-06",0]
["2012-04-09",1382.1999510000001]
["2012-04-10",1358.589966]
["2012-04-11",1368.709961]
["2012-04-12",1387.5699460000001]
["2012-04-13",1370.26001]
["2012-04-16",1369.5699460000001]
["2012-04-17",1390.780029]
["2012-04-18",1385.1400149999999]
["2012-04-19",1376.920044]
["2012-04-20",1378.530029]
["2012-04-23",1366.9399410000001]
["2012-04-24",1371.969971]
["2012-04-25",1390.6899410000001]
["2012-04-26",1399.9799800000001]
["2012-04-27",1403.3599850000001]
["2012-04-30",1397.910034]
["2012-05-01",0]
["2012-05-02",1402.3100589999999]
["2012-05-03",1391.5699460000001]
["2012-05-04",1369.099976]
["2012-05-07",1369.579956]
["2012-05-08",1363.719971]
["2012-05-09",1354.579956]
["2012-05-10",1357.98999]
["2012-05-11",1353.3900149999999]
["2012-05-14",1338.349976]
["2012-05-15",1330.660034]
["2012-05-16",1324.8000489999999]
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{"sheet":"Aufgabe7","index":6,"n_rows":14,"n_cols":6,"rows_kept":14,"cut":false,"hidden":false,"merged":[]}
["Faerbe die Spalte H mit der selektierten Farbe:"]
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[]
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[]
["Note:"]