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Wegen ",[571,1184,1186,1236],{"className":1185},[574],[571,1187,1189],{"className":1188},[578],[580,1190,1191],{"xmlns":582},[584,1192,1193,1233],{},[587,1194,1195,1201,1203,1205,1207,1209,1211,1213,1215,1225,1227],{},[590,1196,1197,1199],{},[593,1198,1095],{},[685,1200,689],{"mathvariant":687,"lspace":688,"rspace":688},[685,1202,714],{},[685,1204,699],{"stretchy":698},[901,1206,958],{},[685,1208,1108],{},[593,1210,598],{},[685,1212,705],{"stretchy":698},[707,1214,709],{},[590,1216,1217,1219],{},[593,1218,595],{},[587,1220,1221,1223],{},[685,1222,1108],{},[593,1224,598],{},[707,1226,709],{},[590,1228,1229,1231],{},[593,1230,595],{},[685,1232,689],{"mathvariant":687,"lspace":688,"rspace":688},[600,1234,1235],{"encoding":602},"z' = (1-n)\\,y^{-n}\\,y'",[571,1237,1239,1287,1308],{"className":1238,"ariaHidden":608},[607],[571,1240,1242,1246,1278,1281,1284],{"className":1241},[612],[571,1243],{"className":1244,"style":1245},[616],"height:0.7519em;",[571,1247,1249,1252],{"className":1248},[621],[571,1250,1095],{"className":1251,"style":1126},[621,625],[571,1253,1255],{"className":1254},[630],[571,1256,1258],{"className":1257},[634],[571,1259,1261],{"className":1260},[638],[571,1262,1264],{"className":1263,"style":1245},[642],[571,1265,1266,1269],{"style":646},[571,1267],{"className":1268,"style":651},[650],[571,1270,1272],{"className":1271},[655,656,657,658],[571,1273,1275],{"className":1274},[621,658],[571,1276,689],{"className":1277},[621,658],[571,1279],{"className":1280,"style":822},[782],[571,1282,714],{"className":1283},[826],[571,1285],{"className":1286,"style":822},[782],[571,1288,1290,1293,1296,1299,1302,1305],{"className":1289},[612],[571,1291],{"className":1292,"style":797},[616],[571,1294,699],{"className":1295},[804],[571,1297,958],{"className":1298},[621],[571,1300],{"className":1301,"style":783},[782],[571,1303,1108],{"className":1304},[787],[571,1306],{"className":1307,"style":783},[782],[571,1309,1311,1315,1318,1321,1324,1360,1363],{"className":1310},[612],[571,1312],{"className":1313,"style":1314},[616],"height:1.0213em;vertical-align:-0.25em;",[571,1316,598],{"className":1317},[621,625],[571,1319,705],{"className":1320},[811],[571,1322],{"className":1323,"style":815},[782],[571,1325,1327,1330],{"className":1326},[621],[571,1328,595],{"className":1329,"style":626},[621,625],[571,1331,1333],{"className":1332},[630],[571,1334,1336],{"className":1335},[634],[571,1337,1339],{"className":1338},[638],[571,1340,1343],{"className":1341,"style":1342},[642],"height:0.7713em;",[571,1344,1345,1348],{"style":646},[571,1346],{"className":1347,"style":651},[650],[571,1349,1351],{"className":1350},[655,656,657,658],[571,1352,1354,1357],{"className":1353},[621,658],[571,1355,1108],{"className":1356},[621,658],[571,1358,598],{"className":1359},[621,625,658],[571,1361],{"className":1362,"style":815},[782],[571,1364,1366,1369],{"className":1365},[621],[571,1367,595],{"className":1368,"style":626},[621,625],[571,1370,1372],{"className":1371},[630],[571,1373,1375],{"className":1374},[634],[571,1376,1378],{"className":1377},[638],[571,1379,1381],{"className":1380,"style":1245},[642],[571,1382,1383,1386],{"style":646},[571,1384],{"className":1385,"style":651},[650],[571,1387,1389],{"className":1388},[655,656,657,658],[571,1390,1392],{"className":1391},[621,658],[571,1393,689],{"className":1394},[621,658]," entsteht die ",[567,1397,1398],{},"lineare"," Gleichung",[571,1401,1403],{"className":1402},[666],[571,1404,1406,1472],{"className":1405},[574],[571,1407,1409],{"className":1408},[578],[580,1410,1411],{"xmlns":582,"display":675},[584,1412,1413,1469],{},[587,1414,1415,1421,1423,1425,1427,1429,1431,1433,1435,1437,1439,1441,1443,1445,1447,1449,1451,1453,1455,1457,1459,1461,1463,1465,1467],{},[590,1416,1417,1419],{},[593,1418,1095],{},[685,1420,689],{"mathvariant":687,"lspace":688,"rspace":688},[685,1422,692],{},[685,1424,699],{"stretchy":698},[901,1426,958],{},[685,1428,1108],{},[593,1430,598],{},[685,1432,705],{"stretchy":698},[707,1434,709],{},[593,1436,695],{},[685,1438,699],{"stretchy":698},[593,1440,702],{},[685,1442,705],{"stretchy":698},[707,1444,709],{},[593,1446,1095],{},[685,1448,714],{},[685,1450,699],{"stretchy":698},[901,1452,958],{},[685,1454,1108],{},[593,1456,598],{},[685,1458,705],{"stretchy":698},[707,1460,709],{},[593,1462,717],{},[685,1464,699],{"stretchy":698},[593,1466,702],{},[685,1468,705],{"stretchy":698},[600,1470,1471],{"encoding":602},"z' + (1-n)\\,a(x)\\,z = (1-n)\\,b(x)",[571,1473,1475,1523,1544,1586,1607],{"className":1474,"ariaHidden":608},[607],[571,1476,1478,1482,1514,1517,1520],{"className":1477},[612],[571,1479],{"className":1480,"style":1481},[616],"height:0.8852em;vertical-align:-0.0833em;",[571,1483,1485,1488],{"className":1484},[621],[571,1486,1095],{"className":1487,"style":1126},[621,625],[571,1489,1491],{"className":1490},[630],[571,1492,1494],{"className":1493},[634],[571,1495,1497],{"className":1496},[638],[571,1498,1500],{"className":1499,"style":763},[642],[571,1501,1502,1505],{"style":766},[571,1503],{"className":1504,"style":651},[650],[571,1506,1508],{"className":1507},[655,656,657,658],[571,1509,1511],{"className":1510},[621,658],[571,1512,689],{"className":1513},[621,658],[571,1515],{"className":1516,"style":783},[782],[571,1518,692],{"className":1519},[787],[571,1521],{"className":1522,"style":783},[782],[571,1524,1526,1529,1532,1535,1538,1541],{"className":1525},[612],[571,1527],{"className":1528,"style":797},[616],[571,1530,699],{"className":1531},[804],[571,1533,958],{"className":1534},[621],[571,1536],{"className":1537,"style":783},[782],[571,1539,1108],{"className":1540},[787],[571,1542],{"className":1543,"style":783},[782],[571,1545,1547,1550,1553,1556,1559,1562,1565,1568,1571,1574,1577,1580,1583],{"className":1546},[612],[571,1548],{"className":1549,"style":797},[616],[571,1551,598],{"className":1552},[621,625],[571,1554,705],{"className":1555},[811],[571,1557],{"className":1558,"style":815},[782],[571,1560,695],{"className":1561},[621,625],[571,1563,699],{"className":1564},[804],[571,1566,702],{"className":1567},[621,625],[571,1569,705],{"className":1570},[811],[571,1572],{"className":1573,"style":815},[782],[571,1575,1095],{"className":1576,"style":1126},[621,625],[571,1578],{"className":1579,"style":822},[782],[571,1581,714],{"className":1582},[826],[571,1584],{"className":1585,"style":822},[782],[571,1587,1589,1592,1595,1598,1601,1604],{"className":1588},[612],[571,1590],{"className":1591,"style":797},[616],[571,1593,699],{"className":1594},[804],[571,1596,958],{"className":1597},[621],[571,1599],{"className":1600,"style":783},[782],[571,1602,1108],{"className":1603},[787],[571,1605],{"className":1606,"style":783},[782],[571,1608,1610,1613,1616,1619,1622,1625,1628,1631],{"className":1609},[612],[571,1611],{"className":1612,"style":797},[616],[571,1614,598],{"className":1615},[621,625],[571,1617,705],{"className":1618},[811],[571,1620],{"className":1621,"style":815},[782],[571,1623,717],{"className":1624},[621,625],[571,1626,699],{"className":1627},[804],[571,1629,702],{"className":1630},[621,625],[571,1632,705],{"className":1633},[811],[563,1635,1636,1637,1821],{},"Diese löst man mit der Formel für lineare DGL oder mit Variation der Konstanten und setzt am Ende ",[571,1638,1640,1673],{"className":1639},[574],[571,1641,1643],{"className":1642},[578],[580,1644,1645],{"xmlns":582},[584,1646,1647,1670],{},[587,1648,1649,1651,1653],{},[593,1650,595],{},[685,1652,714],{},[590,1654,1655,1657],{},[593,1656,1095],{},[1658,1659,1660,1662],"mfrac",{},[901,1661,958],{},[587,1663,1664,1666,1668],{},[901,1665,958],{},[685,1667,1108],{},[593,1669,598],{},[600,1671,1672],{"encoding":602},"y = z^{\\frac{1}{1-n}}",[571,1674,1676,1695],{"className":1675,"ariaHidden":608},[607],[571,1677,1679,1683,1686,1689,1692],{"className":1678},[612],[571,1680],{"className":1681,"style":1682},[616],"height:0.625em;vertical-align:-0.1944em;",[571,1684,595],{"className":1685,"style":626},[621,625],[571,1687],{"className":1688,"style":822},[782],[571,1690,714],{"className":1691},[826],[571,1693],{"className":1694,"style":822},[782],[571,1696,1698,1702],{"className":1697},[612],[571,1699],{"className":1700,"style":1701},[616],"height:0.9812em;",[571,1703,1705,1708],{"className":1704},[621],[571,1706,1095],{"className":1707,"style":1126},[621,625],[571,1709,1711],{"className":1710},[630],[571,1712,1714],{"className":1713},[634],[571,1715,1717],{"className":1716},[638],[571,1718,1720],{"className":1719,"style":1701},[642],[571,1721,1723,1727],{"style":1722},"top:-3.3902em;margin-right:0.05em;",[571,1724],{"className":1725,"style":1726},[650],"height:3em;",[571,1728,1730],{"className":1729},[655,656,657,658],[571,1731,1733],{"className":1732},[621,658],[571,1734,1736,1742,1818],{"className":1735},[621,658],[571,1737],{"className":1738},[804,1739,655,1740,1741],"nulldelimiter","reset-size3","size6",[571,1743,1745],{"className":1744},[1658],[571,1746,1749,1809],{"className":1747},[634,1748],"vlist-t2",[571,1750,1752,1804],{"className":1751},[638],[571,1753,1756,1778,1789],{"className":1754,"style":1755},[642],"height:0.8443em;",[571,1757,1759,1762],{"style":1758},"top:-2.656em;",[571,1760],{"className":1761,"style":1726},[650],[571,1763,1766],{"className":1764},[655,1740,1765,658],"size1",[571,1767,1769,1772,1775],{"className":1768},[621,658],[571,1770,958],{"className":1771},[621,658],[571,1773,1108],{"className":1774},[787,658],[571,1776,598],{"className":1777},[621,625,658],[571,1779,1781,1784],{"style":1780},"top:-3.2255em;",[571,1782],{"className":1783,"style":1726},[650],[571,1785],{"className":1786,"style":1788},[1787,658],"frac-line","border-bottom-width:0.049em;",[571,1790,1792,1795],{"style":1791},"top:-3.384em;",[571,1793],{"className":1794,"style":1726},[650],[571,1796,1798],{"className":1797},[655,1740,1765,658],[571,1799,1801],{"className":1800},[621,658],[571,1802,958],{"className":1803},[621,658],[571,1805,1808],{"className":1806},[1807],"vlist-s","​",[571,1810,1812],{"className":1811},[638],[571,1813,1816],{"className":1814,"style":1815},[642],"height:0.4035em;",[571,1817],{},[571,1819],{"className":1820},[811,1739,655,1740,1741]," zurück.",[563,1823,1824,1825,1878,1879,1937,1938,2012,2013,2041,2042,2070,2071,2099,2100,2193,2194,2222,2223,2275,2276,2329],{},"Die Bedingung ",[571,1826,1828,1847],{"className":1827},[574],[571,1829,1831],{"className":1830},[578],[580,1832,1833],{"xmlns":582},[584,1834,1835,1844],{},[587,1836,1837,1839,1842],{},[593,1838,595],{},[685,1840,1841],{},">",[901,1843,903],{},[600,1845,1846],{"encoding":602},"y > 0",[571,1848,1850,1869],{"className":1849,"ariaHidden":608},[607],[571,1851,1853,1857,1860,1863,1866],{"className":1852},[612],[571,1854],{"className":1855,"style":1856},[616],"height:0.7335em;vertical-align:-0.1944em;",[571,1858,595],{"className":1859,"style":626},[621,625],[571,1861],{"className":1862,"style":822},[782],[571,1864,1841],{"className":1865},[826],[571,1867],{"className":1868,"style":822},[782],[571,1870,1872,1875],{"className":1871},[612],[571,1873],{"className":1874,"style":935},[616],[571,1876,903],{"className":1877},[621]," sorgt dafür, dass ",[571,1880,1882,1899],{"className":1881},[574],[571,1883,1885],{"className":1884},[578],[580,1886,1887],{"xmlns":582},[584,1888,1889,1897],{},[587,1890,1891],{},[590,1892,1893,1895],{},[593,1894,595],{},[593,1896,598],{},[600,1898,603],{"encoding":602},[571,1900,1902],{"className":1901,"ariaHidden":608},[607],[571,1903,1905,1908],{"className":1904},[612],[571,1906],{"className":1907,"style":617},[616],[571,1909,1911,1914],{"className":1910},[621],[571,1912,595],{"className":1913,"style":626},[621,625],[571,1915,1917],{"className":1916},[630],[571,1918,1920],{"className":1919},[634],[571,1921,1923],{"className":1922},[638],[571,1924,1926],{"className":1925,"style":643},[642],[571,1927,1928,1931],{"style":646},[571,1929],{"className":1930,"style":651},[650],[571,1932,1934],{"className":1933},[655,656,657,658],[571,1935,598],{"className":1936},[621,625,658]," und ",[571,1939,1941,1965],{"className":1940},[574],[571,1942,1944],{"className":1943},[578],[580,1945,1946],{"xmlns":582},[584,1947,1948,1962],{},[587,1949,1950],{},[590,1951,1952,1954],{},[593,1953,595],{},[587,1955,1956,1958,1960],{},[901,1957,958],{},[685,1959,1108],{},[593,1961,598],{},[600,1963,1964],{"encoding":602},"y^{1-n}",[571,1966,1968],{"className":1967,"ariaHidden":608},[607],[571,1969,1971,1974],{"className":1970},[612],[571,1972],{"className":1973,"style":1142},[616],[571,1975,1977,1980],{"className":1976},[621],[571,1978,595],{"className":1979,"style":626},[621,625],[571,1981,1983],{"className":1982},[630],[571,1984,1986],{"className":1985},[634],[571,1987,1989],{"className":1988},[638],[571,1990,1992],{"className":1991,"style":1161},[642],[571,1993,1994,1997],{"style":646},[571,1995],{"className":1996,"style":651},[650],[571,1998,2000],{"className":1999},[655,656,657,658],[571,2001,2003,2006,2009],{"className":2002},[621,658],[571,2004,958],{"className":2005},[621,658],[571,2007,1108],{"className":2008},[787,658],[571,2010,598],{"className":2011},[621,625,658]," für jedes reelle ",[571,2014,2016,2029],{"className":2015},[574],[571,2017,2019],{"className":2018},[578],[580,2020,2021],{"xmlns":582},[584,2022,2023,2027],{},[587,2024,2025],{},[593,2026,598],{},[600,2028,598],{"encoding":602},[571,2030,2032],{"className":2031,"ariaHidden":608},[607],[571,2033,2035,2038],{"className":2034},[612],[571,2036],{"className":2037,"style":916},[616],[571,2039,598],{"className":2040},[621,625]," definiert sind. Bei ganzzahligem ",[571,2043,2045,2058],{"className":2044},[574],[571,2046,2048],{"className":2047},[578],[580,2049,2050],{"xmlns":582},[584,2051,2052,2056],{},[587,2053,2054],{},[593,2055,598],{},[600,2057,598],{"encoding":602},[571,2059,2061],{"className":2060,"ariaHidden":608},[607],[571,2062,2064,2067],{"className":2063},[612],[571,2065],{"className":2066,"style":916},[616],[571,2068,598],{"className":2069},[621,625]," darf ",[571,2072,2074,2087],{"className":2073},[574],[571,2075,2077],{"className":2076},[578],[580,2078,2079],{"xmlns":582},[584,2080,2081,2085],{},[587,2082,2083],{},[593,2084,595],{},[600,2086,595],{"encoding":602},[571,2088,2090],{"className":2089,"ariaHidden":608},[607],[571,2091,2093,2096],{"className":2092},[612],[571,2094],{"className":2095,"style":1682},[616],[571,2097,595],{"className":2098,"style":626},[621,625]," auch negativ sein, solange ",[571,2101,2103,2122],{"className":2102},[574],[571,2104,2106],{"className":2105},[578],[580,2107,2108],{"xmlns":582},[584,2109,2110,2119],{},[587,2111,2112,2114,2117],{},[593,2113,595],{},[685,2115,2116],{"mathvariant":687},"≠",[901,2118,903],{},[600,2120,2121],{"encoding":602},"y \\neq 0",[571,2123,2125,2184],{"className":2124,"ariaHidden":608},[607],[571,2126,2128,2132,2135,2138,2181],{"className":2127},[612],[571,2129],{"className":2130,"style":2131},[616],"height:0.8889em;vertical-align:-0.1944em;",[571,2133,595],{"className":2134,"style":626},[621,625],[571,2136],{"className":2137,"style":822},[782],[571,2139,2141,2174,2178],{"className":2140},[826],[571,2142,2144],{"className":2143},[826],[571,2145,2148],{"className":2146},[621,2147],"vbox",[571,2149,2152],{"className":2150},[2151],"thinbox",[571,2153,2156,2159,2170],{"className":2154},[2155],"rlap",[571,2157],{"className":2158,"style":2131},[616],[571,2160,2163],{"className":2161},[2162],"inner",[571,2164,2166],{"className":2165},[621],[571,2167,2169],{"className":2168},[826],"",[571,2171],{"className":2172},[2173],"fix",[571,2175],{"className":2176},[782,2177],"nobreak",[571,2179,714],{"className":2180},[826],[571,2182],{"className":2183,"style":822},[782],[571,2185,2187,2190],{"className":2186},[612],[571,2188],{"className":2189,"style":935},[616],[571,2191,903],{"className":2192},[621]," ist, wo durch ",[571,2195,2197,2210],{"className":2196},[574],[571,2198,2200],{"className":2199},[578],[580,2201,2202],{"xmlns":582},[584,2203,2204,2208],{},[587,2205,2206],{},[593,2207,595],{},[600,2209,595],{"encoding":602},[571,2211,2213],{"className":2212,"ariaHidden":608},[607],[571,2214,2216,2219],{"className":2215},[612],[571,2217],{"className":2218,"style":1682},[616],[571,2220,595],{"className":2221,"style":626},[621,625]," geteilt wird. Für ",[571,2224,2226,2244],{"className":2225},[574],[571,2227,2229],{"className":2228},[578],[580,2230,2231],{"xmlns":582},[584,2232,2233,2241],{},[587,2234,2235,2237,2239],{},[593,2236,598],{},[685,2238,1841],{},[901,2240,903],{},[600,2242,2243],{"encoding":602},"n > 0",[571,2245,2247,2266],{"className":2246,"ariaHidden":608},[607],[571,2248,2250,2254,2257,2260,2263],{"className":2249},[612],[571,2251],{"className":2252,"style":2253},[616],"height:0.5782em;vertical-align:-0.0391em;",[571,2255,598],{"className":2256},[621,625],[571,2258],{"className":2259,"style":822},[782],[571,2261,1841],{"className":2262},[826],[571,2264],{"className":2265,"style":822},[782],[571,2267,2269,2272],{"className":2268},[612],[571,2270],{"className":2271,"style":935},[616],[571,2273,903],{"className":2274},[621]," ist außerdem ",[571,2277,2279,2298],{"className":2278},[574],[571,2280,2282],{"className":2281},[578],[580,2283,2284],{"xmlns":582},[584,2285,2286,2295],{},[587,2287,2288,2290,2293],{},[593,2289,595],{},[685,2291,2292],{},"≡",[901,2294,903],{},[600,2296,2297],{"encoding":602},"y \\equiv 0",[571,2299,2301,2320],{"className":2300,"ariaHidden":608},[607],[571,2302,2304,2308,2311,2314,2317],{"className":2303},[612],[571,2305],{"className":2306,"style":2307},[616],"height:0.6582em;vertical-align:-0.1944em;",[571,2309,595],{"className":2310,"style":626},[621,625],[571,2312],{"className":2313,"style":822},[782],[571,2315,2292],{"className":2316},[826],[571,2318],{"className":2319,"style":822},[782],[571,2321,2323,2326],{"className":2322},[612],[571,2324],{"className":2325,"style":935},[616],[571,2327,903],{"className":2328},[621]," eine Lösung, die bei der Substitution verloren geht.",[558,2331,2333],{"id":2332},"beispiele","Beispiele",[563,2335,2336,2337,2340,2341,2480,2481,2538,2539,2538,2596,2647,2648,2739],{},"Die ",[567,2338,2339],{},"logistische Gleichung"," ",[571,2342,2344,2375],{"className":2343},[574],[571,2345,2347],{"className":2346},[578],[580,2348,2349],{"xmlns":582},[584,2350,2351,2372],{},[587,2352,2353,2359,2361,2363,2365],{},[590,2354,2355,2357],{},[593,2356,595],{},[685,2358,689],{"mathvariant":687,"lspace":688,"rspace":688},[685,2360,714],{},[593,2362,595],{},[685,2364,1108],{},[590,2366,2367,2369],{},[593,2368,595],{},[901,2370,2371],{},"2",[600,2373,2374],{"encoding":602},"y' = y - y^2",[571,2376,2378,2426,2445],{"className":2377,"ariaHidden":608},[607],[571,2379,2381,2385,2417,2420,2423],{"className":2380},[612],[571,2382],{"className":2383,"style":2384},[616],"height:0.9463em;vertical-align:-0.1944em;",[571,2386,2388,2391],{"className":2387},[621],[571,2389,595],{"className":2390,"style":626},[621,625],[571,2392,2394],{"className":2393},[630],[571,2395,2397],{"className":2396},[634],[571,2398,2400],{"className":2399},[638],[571,2401,2403],{"className":2402,"style":1245},[642],[571,2404,2405,2408],{"style":646},[571,2406],{"className":2407,"style":651},[650],[571,2409,2411],{"className":2410},[655,656,657,658],[571,2412,2414],{"className":2413},[621,658],[571,2415,689],{"className":2416},[621,658],[571,2418],{"className":2419,"style":822},[782],[571,2421,714],{"className":2422},[826],[571,2424],{"className":2425,"style":822},[782],[571,2427,2429,2433,2436,2439,2442],{"className":2428},[612],[571,2430],{"className":2431,"style":2432},[616],"height:0.7778em;vertical-align:-0.1944em;",[571,2434,595],{"className":2435,"style":626},[621,625],[571,2437],{"className":2438,"style":783},[782],[571,2440,1108],{"className":2441},[787],[571,2443],{"className":2444,"style":783},[782],[571,2446,2448,2451],{"className":2447},[612],[571,2449],{"className":2450,"style":1142},[616],[571,2452,2454,2457],{"className":2453},[621],[571,2455,595],{"className":2456,"style":626},[621,625],[571,2458,2460],{"className":2459},[630],[571,2461,2463],{"className":2462},[634],[571,2464,2466],{"className":2465},[638],[571,2467,2469],{"className":2468,"style":1161},[642],[571,2470,2471,2474],{"style":646},[571,2472],{"className":2473,"style":651},[650],[571,2475,2477],{"className":2476},[655,656,657,658],[571,2478,2371],{"className":2479},[621,658]," ist eine Bernoulli-DGL mit ",[571,2482,2484,2504],{"className":2483},[574],[571,2485,2487],{"className":2486},[578],[580,2488,2489],{"xmlns":582},[584,2490,2491,2501],{},[587,2492,2493,2495,2497,2499],{},[593,2494,695],{},[685,2496,714],{},[685,2498,1108],{},[901,2500,958],{},[600,2502,2503],{"encoding":602},"a = -1",[571,2505,2507,2525],{"className":2506,"ariaHidden":608},[607],[571,2508,2510,2513,2516,2519,2522],{"className":2509},[612],[571,2511],{"className":2512,"style":916},[616],[571,2514,695],{"className":2515},[621,625],[571,2517],{"className":2518,"style":822},[782],[571,2520,714],{"className":2521},[826],[571,2523],{"className":2524,"style":822},[782],[571,2526,2528,2532,2535],{"className":2527},[612],[571,2529],{"className":2530,"style":2531},[616],"height:0.7278em;vertical-align:-0.0833em;",[571,2533,1108],{"className":2534},[621],[571,2536,958],{"className":2537},[621],", ",[571,2540,2542,2562],{"className":2541},[574],[571,2543,2545],{"className":2544},[578],[580,2546,2547],{"xmlns":582},[584,2548,2549,2559],{},[587,2550,2551,2553,2555,2557],{},[593,2552,717],{},[685,2554,714],{},[685,2556,1108],{},[901,2558,958],{},[600,2560,2561],{"encoding":602},"b = -1",[571,2563,2565,2584],{"className":2564,"ariaHidden":608},[607],[571,2566,2568,2572,2575,2578,2581],{"className":2567},[612],[571,2569],{"className":2570,"style":2571},[616],"height:0.6944em;",[571,2573,717],{"className":2574},[621,625],[571,2576],{"className":2577,"style":822},[782],[571,2579,714],{"className":2580},[826],[571,2582],{"className":2583,"style":822},[782],[571,2585,2587,2590,2593],{"className":2586},[612],[571,2588],{"className":2589,"style":2531},[616],[571,2591,1108],{"className":2592},[621],[571,2594,958],{"className":2595},[621],[571,2597,2599,2617],{"className":2598},[574],[571,2600,2602],{"className":2601},[578],[580,2603,2604],{"xmlns":582},[584,2605,2606,2614],{},[587,2607,2608,2610,2612],{},[593,2609,598],{},[685,2611,714],{},[901,2613,2371],{},[600,2615,2616],{"encoding":602},"n = 2",[571,2618,2620,2638],{"className":2619,"ariaHidden":608},[607],[571,2621,2623,2626,2629,2632,2635],{"className":2622},[612],[571,2624],{"className":2625,"style":916},[616],[571,2627,598],{"className":2628},[621,625],[571,2630],{"className":2631,"style":822},[782],[571,2633,714],{"className":2634},[826],[571,2636],{"className":2637,"style":822},[782],[571,2639,2641,2644],{"className":2640},[612],[571,2642],{"className":2643,"style":935},[616],[571,2645,2371],{"className":2646},[621],". Mit ",[571,2649,2651,2677],{"className":2650},[574],[571,2652,2654],{"className":2653},[578],[580,2655,2656],{"xmlns":582},[584,2657,2658,2674],{},[587,2659,2660,2662,2664],{},[593,2661,1095],{},[685,2663,714],{},[590,2665,2666,2668],{},[593,2667,595],{},[587,2669,2670,2672],{},[685,2671,1108],{},[901,2673,958],{},[600,2675,2676],{"encoding":602},"z = y^{-1}",[571,2678,2680,2698],{"className":2679,"ariaHidden":608},[607],[571,2681,2683,2686,2689,2692,2695],{"className":2682},[612],[571,2684],{"className":2685,"style":916},[616],[571,2687,1095],{"className":2688,"style":1126},[621,625],[571,2690],{"className":2691,"style":822},[782],[571,2693,714],{"className":2694},[826],[571,2696],{"className":2697,"style":822},[782],[571,2699,2701,2704],{"className":2700},[612],[571,2702],{"className":2703,"style":1142},[616],[571,2705,2707,2710],{"className":2706},[621],[571,2708,595],{"className":2709,"style":626},[621,625],[571,2711,2713],{"className":2712},[630],[571,2714,2716],{"className":2715},[634],[571,2717,2719],{"className":2718},[638],[571,2720,2722],{"className":2721,"style":1161},[642],[571,2723,2724,2727],{"style":646},[571,2725],{"className":2726,"style":651},[650],[571,2728,2730],{"className":2729},[655,656,657,658],[571,2731,2733,2736],{"className":2732},[621,658],[571,2734,1108],{"className":2735},[621,658],[571,2737,958],{"className":2738},[621,658]," wird daraus",[571,2741,2743],{"className":2742},[666],[571,2744,2746,2830],{"className":2745},[574],[571,2747,2749],{"className":2748},[578],[580,2750,2751],{"xmlns":582,"display":675},[584,2752,2753,2827],{},[587,2754,2755,2761,2763,2765,2767,2769,2771,2773,2775,2777,2779,2781,2783,2785,2787,2789,2791,2793,2795,2797,2799,2801,2803,2805,2808,2811,2813,2819,2821,2823,2825],{},[590,2756,2757,2759],{},[593,2758,1095],{},[685,2760,689],{"mathvariant":687,"lspace":688,"rspace":688},[685,2762,692],{},[685,2764,699],{"stretchy":698},[901,2766,958],{},[685,2768,1108],{},[901,2770,2371],{},[685,2772,705],{"stretchy":698},[685,2774,699],{"stretchy":698},[685,2776,1108],{},[901,2778,958],{},[685,2780,705],{"stretchy":698},[707,2782,709],{},[593,2784,1095],{},[685,2786,714],{},[685,2788,699],{"stretchy":698},[901,2790,958],{},[685,2792,1108],{},[901,2794,2371],{},[685,2796,705],{"stretchy":698},[685,2798,699],{"stretchy":698},[685,2800,1108],{},[901,2802,958],{},[685,2804,705],{"stretchy":698},[782,2806],{"width":2807},"1em",[685,2809,2810],{},"⇒",[782,2812],{"width":2807},[590,2814,2815,2817],{},[593,2816,1095],{},[685,2818,689],{"mathvariant":687,"lspace":688,"rspace":688},[685,2820,692],{},[593,2822,1095],{},[685,2824,714],{},[901,2826,958],{},[600,2828,2829],{"encoding":602},"z' + (1-2)(-1)\\,z = (1-2)(-1) \\quad\\Rightarrow\\quad z' + z = 1",[571,2831,2833,2880,2901,2940,2961,3001,3048,3066],{"className":2832,"ariaHidden":608},[607],[571,2834,2836,2839,2871,2874,2877],{"className":2835},[612],[571,2837],{"className":2838,"style":1481},[616],[571,2840,2842,2845],{"className":2841},[621],[571,2843,1095],{"className":2844,"style":1126},[621,625],[571,2846,2848],{"className":2847},[630],[571,2849,2851],{"className":2850},[634],[571,2852,2854],{"className":2853},[638],[571,2855,2857],{"className":2856,"style":763},[642],[571,2858,2859,2862],{"style":766},[571,2860],{"className":2861,"style":651},[650],[571,2863,2865],{"className":2864},[655,656,657,658],[571,2866,2868],{"className":2867},[621,658],[571,2869,689],{"className":2870},[621,658],[571,2872],{"className":2873,"style":783},[782],[571,2875,692],{"className":2876},[787],[571,2878],{"className":2879,"style":783},[782],[571,2881,2883,2886,2889,2892,2895,2898],{"className":2882},[612],[571,2884],{"className":2885,"style":797},[616],[571,2887,699],{"className":2888},[804],[571,2890,958],{"className":2891},[621],[571,2893],{"className":2894,"style":783},[782],[571,2896,1108],{"className":2897},[787],[571,2899],{"className":2900,"style":783},[782],[571,2902,2904,2907,2910,2913,2916,2919,2922,2925,2928,2931,2934,2937],{"className":2903},[612],[571,2905],{"className":2906,"style":797},[616],[571,2908,2371],{"className":2909},[621],[571,2911,705],{"className":2912},[811],[571,2914,699],{"className":2915},[804],[571,2917,1108],{"className":2918},[621],[571,2920,958],{"className":2921},[621],[571,2923,705],{"className":2924},[811],[571,2926],{"className":2927,"style":815},[782],[571,2929,1095],{"className":2930,"style":1126},[621,625],[571,2932],{"className":2933,"style":822},[782],[571,2935,714],{"className":2936},[826],[571,2938],{"className":2939,"style":822},[782],[571,2941,2943,2946,2949,2952,2955,2958],{"className":2942},[612],[571,2944],{"className":2945,"style":797},[616],[571,2947,699],{"className":2948},[804],[571,2950,958],{"className":2951},[621],[571,2953],{"className":2954,"style":783},[782],[571,2956,1108],{"className":2957},[787],[571,2959],{"className":2960,"style":783},[782],[571,2962,2964,2967,2970,2973,2976,2979,2982,2985,2989,2992,2995,2998],{"className":2963},[612],[571,2965],{"className":2966,"style":797},[616],[571,2968,2371],{"className":2969},[621],[571,2971,705],{"className":2972},[811],[571,2974,699],{"className":2975},[804],[571,2977,1108],{"className":2978},[621],[571,2980,958],{"className":2981},[621],[571,2983,705],{"className":2984},[811],[571,2986],{"className":2987,"style":2988},[782],"margin-right:1em;",[571,2990],{"className":2991,"style":822},[782],[571,2993,2810],{"className":2994},[826],[571,2996],{"className":2997,"style":2988},[782],[571,2999],{"className":3000,"style":822},[782],[571,3002,3004,3007,3039,3042,3045],{"className":3003},[612],[571,3005],{"className":3006,"style":1481},[616],[571,3008,3010,3013],{"className":3009},[621],[571,3011,1095],{"className":3012,"style":1126},[621,625],[571,3014,3016],{"className":3015},[630],[571,3017,3019],{"className":3018},[634],[571,3020,3022],{"className":3021},[638],[571,3023,3025],{"className":3024,"style":763},[642],[571,3026,3027,3030],{"style":766},[571,3028],{"className":3029,"style":651},[650],[571,3031,3033],{"className":3032},[655,656,657,658],[571,3034,3036],{"className":3035},[621,658],[571,3037,689],{"className":3038},[621,658],[571,3040],{"className":3041,"style":783},[782],[571,3043,692],{"className":3044},[787],[571,3046],{"className":3047,"style":783},[782],[571,3049,3051,3054,3057,3060,3063],{"className":3050},[612],[571,3052],{"className":3053,"style":916},[616],[571,3055,1095],{"className":3056,"style":1126},[621,625],[571,3058],{"className":3059,"style":822},[782],[571,3061,714],{"className":3062},[826],[571,3064],{"className":3065,"style":822},[782],[571,3067,3069,3072],{"className":3068},[612],[571,3070],{"className":3071,"style":935},[616],[571,3073,958],{"className":3074},[621],[563,3076,3077,3078,3204,3205,3398,3399,3479,3480,3532,3533,3755],{},"mit der Lösung ",[571,3079,3081,3117],{"className":3080},[574],[571,3082,3084],{"className":3083},[578],[580,3085,3086],{"xmlns":582},[584,3087,3088,3114],{},[587,3089,3090,3092,3094,3096,3098,3101,3103],{},[593,3091,1095],{},[685,3093,714],{},[901,3095,958],{},[685,3097,692],{},[593,3099,3100],{},"C",[707,3102,709],{},[590,3104,3105,3108],{},[593,3106,3107],{},"e",[587,3109,3110,3112],{},[685,3111,1108],{},[593,3113,702],{},[600,3115,3116],{"encoding":602},"z = 1 + 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Also ist ",[571,3206,3208,3248],{"className":3207},[574],[571,3209,3211],{"className":3210},[578],[580,3212,3213],{"xmlns":582},[584,3214,3215,3245],{},[587,3216,3217,3219,3221],{},[593,3218,595],{},[685,3220,714],{},[1658,3222,3223,3225],{},[901,3224,958],{},[587,3226,3227,3229,3231,3233,3235],{},[901,3228,958],{},[685,3230,692],{},[593,3232,3100],{},[707,3234,709],{},[590,3236,3237,3239],{},[593,3238,3107],{},[587,3240,3241,3243],{},[685,3242,1108],{},[593,3244,702],{},[600,3246,3247],{"encoding":602},"y = \\frac{1}{1 + C\\,e^{-x}}",[571,3249,3251,3269],{"className":3250,"ariaHidden":608},[607],[571,3252,3254,3257,3260,3263,3266],{"className":3253},[612],[571,3255],{"className":3256,"style":1682},[616],[571,3258,595],{"className":3259,"style":626},[621,625],[571,3261],{"className":3262,"style":822},[782],[571,3264,714],{"className":3265},[826],[571,3267],{"className":3268,"style":822},[782],[571,3270,3272,3276],{"className":3271},[612],[571,3273],{"className":3274,"style":3275},[616],"height:1.2484em;vertical-align:-0.4033em;",[571,3277,3279,3282,3395],{"className":3278},[621],[571,3280],{"className":3281},[804,1739],[571,3283,3285],{"className":3284},[1658],[571,3286,3288,3386],{"className":3287},[634,1748],[571,3289,3291,3383],{"className":3290},[638],[571,3292,3295,3358,3368],{"className":3293,"style":3294},[642],"height:0.8451em;",[571,3296,3298,3301],{"style":3297},"top:-2.655em;",[571,3299],{"className":3300,"style":1726},[650],[571,3302,3304],{"className":3303},[655,656,657,658],[571,3305,3307,3310,3313,3316,3320],{"className":3306},[621,658],[571,3308,958],{"className":3309},[621,658],[571,3311,692],{"className":3312},[787,658],[571,3314,3100],{"className":3315,"style":3165},[621,625,658],[571,3317],{"className":3318,"style":3319},[782,658],"margin-right:0.1952em;",[571,3321,3323,3326],{"className":3322},[621,658],[571,3324,3107],{"className":3325},[621,625,658],[571,3327,3329],{"className":3328},[630],[571,3330,3332],{"className":3331},[634],[571,3333,3335],{"className":3334},[638],[571,3336,3339],{"className":3337,"style":3338},[642],"height:0.7027em;",[571,3340,3342,3346],{"style":3341},"top:-2.786em;margin-right:0.0714em;",[571,3343],{"className":3344,"style":3345},[650],"height:2.5em;",[571,3347,3349],{"className":3348},[655,1740,1765,658],[571,3350,3352,3355],{"className":3351},[621,658],[571,3353,1108],{"className":3354},[621,658],[571,3356,702],{"className":3357},[621,625,658],[571,3359,3361,3364],{"style":3360},"top:-3.23em;",[571,3362],{"className":3363,"style":1726},[650],[571,3365],{"className":3366,"style":3367},[1787],"border-bottom-width:0.04em;",[571,3369,3371,3374],{"style":3370},"top:-3.394em;",[571,3372],{"className":3373,"style":1726},[650],[571,3375,3377],{"className":3376},[655,656,657,658],[571,3378,3380],{"className":3379},[621,658],[571,3381,958],{"className":3382},[621,658],[571,3384,1808],{"className":3385},[1807],[571,3387,3389],{"className":3388},[638],[571,3390,3393],{"className":3391,"style":3392},[642],"height:0.4033em;",[571,3394],{},[571,3396],{"className":3397},[811,1739],". Für ",[571,3400,3402,3427],{"className":3401},[574],[571,3403,3405],{"className":3404},[578],[580,3406,3407],{"xmlns":582},[584,3408,3409,3424],{},[587,3410,3411,3413,3415,3417,3419,3421],{},[593,3412,595],{},[685,3414,699],{"stretchy":698},[901,3416,903],{},[685,3418,705],{"stretchy":698},[685,3420,714],{},[901,3422,3423],{},"0,5",[600,3425,3426],{"encoding":602},"y(0) = 0{,}5",[571,3428,3430,3457],{"className":3429,"ariaHidden":608},[607],[571,3431,3433,3436,3439,3442,3445,3448,3451,3454],{"className":3432},[612],[571,3434],{"className":3435,"style":797},[616],[571,3437,595],{"className":3438,"style":626},[621,625],[571,3440,699],{"className":3441},[804],[571,3443,903],{"className":3444},[621],[571,3446,705],{"className":3447},[811],[571,3449],{"className":3450,"style":822},[782],[571,3452,714],{"className":3453},[826],[571,3455],{"className":3456,"style":822},[782],[571,3458,3460,3464,3467,3475],{"className":3459},[612],[571,3461],{"className":3462,"style":3463},[616],"height:0.8389em;vertical-align:-0.1944em;",[571,3465,903],{"className":3466},[621],[571,3468,3470],{"className":3469},[621],[571,3471,3474],{"className":3472},[3473],"mpunct",",",[571,3476,3478],{"className":3477},[621],"5"," ist ",[571,3481,3483,3501],{"className":3482},[574],[571,3484,3486],{"className":3485},[578],[580,3487,3488],{"xmlns":582},[584,3489,3490,3498],{},[587,3491,3492,3494,3496],{},[593,3493,3100],{},[685,3495,714],{},[901,3497,958],{},[600,3499,3500],{"encoding":602},"C = 1",[571,3502,3504,3523],{"className":3503,"ariaHidden":608},[607],[571,3505,3507,3511,3514,3517,3520],{"className":3506},[612],[571,3508],{"className":3509,"style":3510},[616],"height:0.6833em;",[571,3512,3100],{"className":3513,"style":3165},[621,625],[571,3515],{"className":3516,"style":822},[782],[571,3518,714],{"className":3519},[826],[571,3521],{"className":3522,"style":822},[782],[571,3524,3526,3529],{"className":3525},[612],[571,3527],{"className":3528,"style":935},[616],[571,3530,958],{"className":3531},[621],", und es gilt ",[571,3534,3536,3584],{"className":3535},[574],[571,3537,3539],{"className":3538},[578],[580,3540,3541],{"xmlns":582},[584,3542,3543,3581],{},[587,3544,3545,3547,3549,3551,3553,3555,3575,3578],{},[593,3546,595],{},[685,3548,699],{"stretchy":698},[901,3550,2371],{},[685,3552,705],{"stretchy":698},[685,3554,714],{},[1658,3556,3557,3559],{},[901,3558,958],{},[587,3560,3561,3563,3565],{},[901,3562,958],{},[685,3564,692],{},[590,3566,3567,3569],{},[593,3568,3107],{},[587,3570,3571,3573],{},[685,3572,1108],{},[901,3574,2371],{},[685,3576,3577],{},"≈",[901,3579,3580],{},"0,8808",[600,3582,3583],{"encoding":602},"y(2) = \\frac{1}{1 + e^{-2}} \\approx 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+ y = 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mit ",[571,3897,3899,3917],{"className":3898},[574],[571,3900,3902],{"className":3901},[578],[580,3903,3904],{"xmlns":582},[584,3905,3906,3914],{},[587,3907,3908,3910,3912],{},[593,3909,598],{},[685,3911,714],{},[901,3913,3788],{},[600,3915,3916],{"encoding":602},"n = 3",[571,3918,3920,3938],{"className":3919,"ariaHidden":608},[607],[571,3921,3923,3926,3929,3932,3935],{"className":3922},[612],[571,3924],{"className":3925,"style":916},[616],[571,3927,598],{"className":3928},[621,625],[571,3930],{"className":3931,"style":822},[782],[571,3933,714],{"className":3934},[826],[571,3936],{"className":3937,"style":822},[782],[571,3939,3941,3944],{"className":3940},[612],[571,3942],{"className":3943,"style":935},[616],[571,3945,3788],{"className":3946},[621],". Die Substitution ",[571,3949,3951,3977],{"className":3950},[574],[571,3952,3954],{"className":3953},[578],[580,3955,3956],{"xmlns":582},[584,3957,3958,3974],{},[587,3959,3960,3962,3964],{},[593,3961,1095],{},[685,3963,714],{},[590,3965,3966,3968],{},[593,3967,595],{},[587,3969,3970,3972],{},[685,3971,1108],{},[901,3973,2371],{},[600,3975,3976],{"encoding":602},"z = 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ergibt",[571,4041,4043],{"className":4042},[666],[571,4044,4046,4141],{"className":4045},[574],[571,4047,4049],{"className":4048},[578],[580,4050,4051],{"xmlns":582,"display":675},[584,4052,4053,4138],{},[587,4054,4055,4061,4063,4065,4067,4069,4071,4073,4075,4077,4079,4081,4083,4085,4087,4089,4091,4101,4103,4105,4107,4109,4111],{},[590,4056,4057,4059],{},[593,4058,1095],{},[685,4060,689],{"mathvariant":687,"lspace":688,"rspace":688},[685,4062,1108],{},[901,4064,2371],{},[593,4066,1095],{},[685,4068,714],{},[685,4070,1108],{},[901,4072,2371],{},[782,4074],{"width":2807},[685,4076,2810],{},[782,4078],{"width":2807},[593,4080,1095],{},[685,4082,714],{},[901,4084,958],{},[685,4086,692],{},[593,4088,3100],{},[707,4090,709],{},[590,4092,4093,4095],{},[593,4094,3107],{},[587,4096,4097,4099],{},[901,4098,2371],{},[593,4100,702],{},[782,4102],{"width":2807},[685,4104,2810],{},[782,4106],{"width":2807},[593,4108,595],{},[685,4110,714],{},[1658,4112,4113,4115],{},[901,4114,958],{},[4116,4117,4118],"msqrt",{},[587,4119,4120,4122,4124,4126,4128],{},[901,4121,958],{},[685,4123,692],{},[593,4125,3100],{},[707,4127,709],{},[590,4129,4130,4132],{},[593,4131,3107],{},[587,4133,4134,4136],{},[901,4135,2371],{},[593,4137,702],{},[600,4139,4140],{"encoding":602},"z' 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Probe: ",[571,4546,4548,4621],{"className":4547},[574],[571,4549,4551],{"className":4550},[578],[580,4552,4553],{"xmlns":582},[584,4554,4555,4618],{},[587,4556,4557,4563,4565,4567,4569,4571,4581,4583,4585,4587,4589,4591,4593,4603],{},[590,4558,4559,4561],{},[593,4560,595],{},[685,4562,689],{"mathvariant":687,"lspace":688,"rspace":688},[685,4564,714],{},[685,4566,1108],{},[593,4568,3100],{},[707,4570,709],{},[590,4572,4573,4575],{},[593,4574,3107],{},[587,4576,4577,4579],{},[901,4578,2371],{},[593,4580,702],{},[707,4582,709],{},[685,4584,699],{"stretchy":698},[901,4586,958],{},[685,4588,692],{},[593,4590,3100],{},[707,4592,709],{},[590,4594,4595,4597],{},[593,4596,3107],{},[587,4598,4599,4601],{},[901,4600,2371],{},[593,4602,702],{},[590,4604,4605,4607],{},[685,4606,705],{"stretchy":698},[587,4608,4609,4611,4613,4616],{},[685,4610,1108],{},[901,4612,3788],{},[593,4614,4615],{"mathvariant":687},"\u002F",[901,4617,2371],{},[600,4619,4620],{"encoding":602},"y' = -C\\,e^{2x}\\,(1 + 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und ",[571,4827,4829,4851],{"className":4828},[574],[571,4830,4832],{"className":4831},[578],[580,4833,4834],{"xmlns":582},[584,4835,4836,4848],{},[587,4837,4838,4844,4846],{},[590,4839,4840,4842],{},[593,4841,595],{},[685,4843,689],{"mathvariant":687,"lspace":688,"rspace":688},[685,4845,692],{},[593,4847,595],{},[600,4849,4850],{"encoding":602},"y' + y",[571,4852,4854,4901],{"className":4853,"ariaHidden":608},[607],[571,4855,4857,4860,4892,4895,4898],{"className":4856},[612],[571,4858],{"className":4859,"style":2384},[616],[571,4861,4863,4866],{"className":4862},[621],[571,4864,595],{"className":4865,"style":626},[621,625],[571,4867,4869],{"className":4868},[630],[571,4870,4872],{"className":4871},[634],[571,4873,4875],{"className":4874},[638],[571,4876,4878],{"className":4877,"style":1245},[642],[571,4879,4880,4883],{"style":646},[571,4881],{"className":4882,"style":651},[650],[571,4884,4886],{"className":4885},[655,656,657,658],[571,4887,4889],{"className":4888},[621,658],[571,4890,689],{"className":4891},[621,658],[571,4893],{"className":4894,"style":783},[782],[571,4896,692],{"className":4897},[787],[571,4899],{"className":4900,"style":783},[782],[571,4902,4904,4907],{"className":4903},[612],[571,4905],{"className":4906,"style":1682},[616],[571,4908,595],{"className":4909,"style":626},[621,625]," ergibt genau ",[571,4912,4914,4968],{"className":4913},[574],[571,4915,4917],{"className":4916},[578],[580,4918,4919],{"xmlns":582},[584,4920,4921,4965],{},[587,4922,4923,4925,4927,4929,4931,4933,4943,4957,4959],{},[685,4924,699],{"stretchy":698},[901,4926,958],{},[685,4928,692],{},[593,4930,3100],{},[707,4932,709],{},[590,4934,4935,4937],{},[593,4936,3107],{},[587,4938,4939,4941],{},[901,4940,2371],{},[593,4942,702],{},[590,4944,4945,4947],{},[685,4946,705],{"stretchy":698},[587,4948,4949,4951,4953,4955],{},[685,4950,1108],{},[901,4952,3788],{},[593,4954,4615],{"mathvariant":687},[901,4956,2371],{},[685,4958,714],{},[590,4960,4961,4963],{},[593,4962,595],{},[901,4964,3788],{},[600,4966,4967],{"encoding":602},"(1 + C\\,e^{2x})^{-3\u002F2} = y^3",[571,4969,4971,4992,5083],{"className":4970,"ariaHidden":608},[607],[571,4972,4974,4977,4980,4983,4986,4989],{"className":4973},[612],[571,4975],{"className":4976,"style":797},[616],[571,4978,699],{"className":4979},[804],[571,4981,958],{"className":4982},[621],[571,4984],{"className":4985,"style":783},[782],[571,4987,692],{"className":4988},[787],[571,4990],{"className":4991,"style":783},[782],[571,4993,4995,4998,5001,5004,5039,5074,5077,5080],{"className":4994},[612],[571,4996],{"className":4997,"style":4746},[616],[571,4999,3100],{"className":5000,"style":3165},[621,625],[571,5002],{"className":5003,"style":815},[782],[571,5005,5007,5010],{"className":5006},[621],[571,5008,3107],{"className":5009},[621,625],[571,5011,5013],{"className":5012},[630],[571,5014,5016],{"className":5015},[634],[571,5017,5019],{"className":5018},[638],[571,5020,5022],{"className":5021,"style":1161},[642],[571,5023,5024,5027],{"style":646},[571,5025],{"className":5026,"style":651},[650],[571,5028,5030],{"className":5029},[655,656,657,658],[571,5031,5033,5036],{"className":5032},[621,658],[571,5034,2371],{"className":5035},[621,658],[571,5037,702],{"className":5038},[621,625,658],[571,5040,5042,5045],{"className":5041},[811],[571,5043,705],{"className":5044},[811],[571,5046,5048],{"className":5047},[630],[571,5049,5051],{"className":5050},[634],[571,5052,5054],{"className":5053},[638],[571,5055,5057],{"className":5056,"style":4806},[642],[571,5058,5059,5062],{"style":646},[571,5060],{"className":5061,"style":651},[650],[571,5063,5065],{"className":5064},[655,656,657,658],[571,5066,5068,5071],{"className":5067},[621,658],[571,5069,1108],{"className":5070},[621,658],[571,5072,4824],{"className":5073},[621,658],[571,5075],{"className":5076,"style":822},[782],[571,5078,714],{"className":5079},[826],[571,5081],{"className":5082,"style":822},[782],[571,5084,5086,5089],{"className":5085},[612],[571,5087],{"className":5088,"style":1142},[616],[571,5090,5092,5095],{"className":5091},[621],[571,5093,595],{"className":5094,"style":626},[621,625],[571,5096,5098],{"className":5097},[630],[571,5099,5101],{"className":5100},[634],[571,5102,5104],{"className":5103},[638],[571,5105,5107],{"className":5106,"style":1161},[642],[571,5108,5109,5112],{"style":646},[571,5110],{"className":5111,"style":651},[650],[571,5113,5115],{"className":5114},[655,656,657,658],[571,5116,3788],{"className":5117},[621,658],[558,5119,5121],{"id":5120},"typische-fehler","Typische Fehler",[5123,5124,5125,5283,5478,5539],"ul",{},[5126,5127,5128,5129,5190,5191,2340,5235,5238,5239,3755],"li",{},"Den Faktor ",[571,5130,5132,5154],{"className":5131},[574],[571,5133,5135],{"className":5134},[578],[580,5136,5137],{"xmlns":582},[584,5138,5139,5151],{},[587,5140,5141,5143,5145,5147,5149],{},[685,5142,699],{"stretchy":698},[901,5144,958],{},[685,5146,1108],{},[593,5148,598],{},[685,5150,705],{"stretchy":698},[600,5152,5153],{"encoding":602},"(1-n)",[571,5155,5157,5178],{"className":5156,"ariaHidden":608},[607],[571,5158,5160,5163,5166,5169,5172,5175],{"className":5159},[612],[571,5161],{"className":5162,"style":797},[616],[571,5164,699],{"className":5165},[804],[571,5167,958],{"className":5168},[621],[571,5170],{"className":5171,"style":783},[782],[571,5173,1108],{"className":5174},[787],[571,5176],{"className":5177,"style":783},[782],[571,5179,5181,5184,5187],{"className":5180},[612],[571,5182],{"className":5183,"style":797},[616],[571,5185,598],{"className":5186},[621,625],[571,5188,705],{"className":5189},[811]," nur auf einer Seite anbringen. Er steht vor ",[571,5192,5194,5214],{"className":5193},[574],[571,5195,5197],{"className":5196},[578],[580,5198,5199],{"xmlns":582},[584,5200,5201,5211],{},[587,5202,5203,5205,5207,5209],{},[593,5204,695],{},[685,5206,699],{"stretchy":698},[593,5208,702],{},[685,5210,705],{"stretchy":698},[600,5212,5213],{"encoding":602},"a(x)",[571,5215,5217],{"className":5216,"ariaHidden":608},[607],[571,5218,5220,5223,5226,5229,5232],{"className":5219},[612],[571,5221],{"className":5222,"style":797},[616],[571,5224,695],{"className":5225},[621,625],[571,5227,699],{"className":5228},[804],[571,5230,702],{"className":5231},[621,625],[571,5233,705],{"className":5234},[811],[567,5236,5237],{},"und"," vor ",[571,5240,5242,5262],{"className":5241},[574],[571,5243,5245],{"className":5244},[578],[580,5246,5247],{"xmlns":582},[584,5248,5249,5259],{},[587,5250,5251,5253,5255,5257],{},[593,5252,717],{},[685,5254,699],{"stretchy":698},[593,5256,702],{},[685,5258,705],{"stretchy":698},[600,5260,5261],{"encoding":602},"b(x)",[571,5263,5265],{"className":5264,"ariaHidden":608},[607],[571,5266,5268,5271,5274,5277,5280],{"className":5267},[612],[571,5269],{"className":5270,"style":797},[616],[571,5272,717],{"className":5273},[621,625],[571,5275,699],{"className":5276},[804],[571,5278,702],{"className":5279},[621,625],[571,5281,705],{"className":5282},[811],[5126,5284,5285,5381,5382,5477],{},[571,5286,5288,5316],{"className":5287},[574],[571,5289,5291],{"className":5290},[578],[580,5292,5293],{"xmlns":582},[584,5294,5295,5313],{},[587,5296,5297,5299,5301],{},[593,5298,1095],{},[685,5300,714],{},[590,5302,5303,5305],{},[593,5304,595],{},[587,5306,5307,5309,5311],{},[593,5308,598],{},[685,5310,1108],{},[901,5312,958],{},[600,5314,5315],{"encoding":602},"z = y^{n-1}",[571,5317,5319,5337],{"className":5318,"ariaHidden":608},[607],[571,5320,5322,5325,5328,5331,5334],{"className":5321},[612],[571,5323],{"className":5324,"style":916},[616],[571,5326,1095],{"className":5327,"style":1126},[621,625],[571,5329],{"className":5330,"style":822},[782],[571,5332,714],{"className":5333},[826],[571,5335],{"className":5336,"style":822},[782],[571,5338,5340,5343],{"className":5339},[612],[571,5341],{"className":5342,"style":1142},[616],[571,5344,5346,5349],{"className":5345},[621],[571,5347,595],{"className":5348,"style":626},[621,625],[571,5350,5352],{"className":5351},[630],[571,5353,5355],{"className":5354},[634],[571,5356,5358],{"className":5357},[638],[571,5359,5361],{"className":5360,"style":1161},[642],[571,5362,5363,5366],{"style":646},[571,5364],{"className":5365,"style":651},[650],[571,5367,5369],{"className":5368},[655,656,657,658],[571,5370,5372,5375,5378],{"className":5371},[621,658],[571,5373,598],{"className":5374},[621,625,658],[571,5376,1108],{"className":5377},[787,658],[571,5379,958],{"className":5380},[621,658]," statt ",[571,5383,5385,5412],{"className":5384},[574],[571,5386,5388],{"className":5387},[578],[580,5389,5390],{"xmlns":582},[584,5391,5392,5410],{},[587,5393,5394,5396,5398],{},[593,5395,1095],{},[685,5397,714],{},[590,5399,5400,5402],{},[593,5401,595],{},[587,5403,5404,5406,5408],{},[901,5405,958],{},[685,5407,1108],{},[593,5409,598],{},[600,5411,1113],{"encoding":602},[571,5413,5415,5433],{"className":5414,"ariaHidden":608},[607],[571,5416,5418,5421,5424,5427,5430],{"className":5417},[612],[571,5419],{"className":5420,"style":916},[616],[571,5422,1095],{"className":5423,"style":1126},[621,625],[571,5425],{"className":5426,"style":822},[782],[571,5428,714],{"className":5429},[826],[571,5431],{"className":5432,"style":822},[782],[571,5434,5436,5439],{"className":5435},[612],[571,5437],{"className":5438,"style":1142},[616],[571,5440,5442,5445],{"className":5441},[621],[571,5443,595],{"className":5444,"style":626},[621,625],[571,5446,5448],{"className":5447},[630],[571,5449,5451],{"className":5450},[634],[571,5452,5454],{"className":5453},[638],[571,5455,5457],{"className":5456,"style":1161},[642],[571,5458,5459,5462],{"style":646},[571,5460],{"className":5461,"style":651},[650],[571,5463,5465],{"className":5464},[655,656,657,658],[571,5466,5468,5471,5474],{"className":5467},[621,658],[571,5469,958],{"className":5470},[621,658],[571,5472,1108],{"className":5473},[787,658],[571,5475,598],{"className":5476},[621,625,658]," substituieren. Dann entsteht keine lineare Gleichung.",[5126,5479,5480,5481,5509,5510,5538],{},"Am Ende vergessen, von ",[571,5482,5484,5497],{"className":5483},[574],[571,5485,5487],{"className":5486},[578],[580,5488,5489],{"xmlns":582},[584,5490,5491,5495],{},[587,5492,5493],{},[593,5494,1095],{},[600,5496,1095],{"encoding":602},[571,5498,5500],{"className":5499,"ariaHidden":608},[607],[571,5501,5503,5506],{"className":5502},[612],[571,5504],{"className":5505,"style":916},[616],[571,5507,1095],{"className":5508,"style":1126},[621,625]," auf ",[571,5511,5513,5526],{"className":5512},[574],[571,5514,5516],{"className":5515},[578],[580,5517,5518],{"xmlns":582},[584,5519,5520,5524],{},[587,5521,5522],{},[593,5523,595],{},[600,5525,595],{"encoding":602},[571,5527,5529],{"className":5528,"ariaHidden":608},[607],[571,5530,5532,5535],{"className":5531},[612],[571,5533],{"className":5534,"style":1682},[616],[571,5536,595],{"className":5537,"style":626},[621,625]," zurückzurechnen.",[5126,5540,5541,5542,5592,5593,5643],{},"Die Lösung ",[571,5543,5545,5562],{"className":5544},[574],[571,5546,5548],{"className":5547},[578],[580,5549,5550],{"xmlns":582},[584,5551,5552,5560],{},[587,5553,5554,5556,5558],{},[593,5555,595],{},[685,5557,2292],{},[901,5559,903],{},[600,5561,2297],{"encoding":602},[571,5563,5565,5583],{"className":5564,"ariaHidden":608},[607],[571,5566,5568,5571,5574,5577,5580],{"className":5567},[612],[571,5569],{"className":5570,"style":2307},[616],[571,5572,595],{"className":5573,"style":626},[621,625],[571,5575],{"className":5576,"style":822},[782],[571,5578,2292],{"className":5579},[826],[571,5581],{"className":5582,"style":822},[782],[571,5584,5586,5589],{"className":5585},[612],[571,5587],{"className":5588,"style":935},[616],[571,5590,903],{"className":5591},[621]," übersehen, wenn ",[571,5594,5596,5613],{"className":5595},[574],[571,5597,5599],{"className":5598},[578],[580,5600,5601],{"xmlns":582},[584,5602,5603,5611],{},[587,5604,5605,5607,5609],{},[593,5606,598],{},[685,5608,1841],{},[901,5610,903],{},[600,5612,2243],{"encoding":602},[571,5614,5616,5634],{"className":5615,"ariaHidden":608},[607],[571,5617,5619,5622,5625,5628,5631],{"className":5618},[612],[571,5620],{"className":5621,"style":2253},[616],[571,5623,598],{"className":5624},[621,625],[571,5626],{"className":5627,"style":822},[782],[571,5629,1841],{"className":5630},[826],[571,5632],{"className":5633,"style":822},[782],[571,5635,5637,5640],{"className":5636},[612],[571,5638],{"className":5639,"style":935},[616],[571,5641,903],{"className":5642},[621]," ist.",{"title":5645,"searchDepth":5646,"depth":5646,"links":5647},"",2,[5648,5649,5650],{"id":560,"depth":5646,"text":561},{"id":2332,"depth":5646,"text":2333},{"id":5120,"depth":5646,"text":5121},[5652,5655,5658,5661,5664,5666,5669],{"lhs":5653,"rhs":5654},"(1 - n)*y^(-n)*(b*y^n - a*y)","(1 - n)*b - (1 - n)*a*y^(1 - n)",{"lhs":5656,"rhs":5657},"exp(-x)\u002F(1 + exp(-x))^2","1\u002F(1 + exp(-x)) - 1\u002F(1 + exp(-x))^2",{"lhs":5659,"rhs":5660},"1\u002F(1 + exp(-0))","0.5",{"lhs":5662,"rhs":5663},"round(1\u002F(1 + exp(-2)), 4)","0.8808",{"lhs":5665,"rhs":958},"-C*exp(-x) + (1 + C*exp(-x))",{"lhs":5667,"rhs":5668},"-C*exp(2*x)*(1 + C*exp(2*x))^(-3\u002F2) + (1 + C*exp(2*x))^(-1\u002F2)","(1 + C*exp(2*x))^(-3\u002F2)",{"lhs":5670,"rhs":5671},"2*C*exp(2*x) - 2*(1 + C*exp(2*x))","-2","n \\in \\mathbb{R} \\setminus \\{0, 1\\},\\ y > 0","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">R\u003C\u002Fmi>\u003Cmo>∖\u003C\u002Fmo>\u003Cmo stretchy=\"false\">{\u003C\u002Fmo>\u003Cmn>0\u003C\u002Fmn>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo stretchy=\"false\">}\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\in \\mathbb{R} \\setminus \\{0, 1\\},\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.5782em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">∈\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">R\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">∖\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">{\u003C\u002Fspan>\u003Cspan class=\"mord\">0\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mclose\">}\u003C\u002Fspan>\u003Cspan 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