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\\frac{2(-1)^{n+1}}{n}",[568,1137,1139,1199],{"className":1138,"ariaHidden":616},[615],[568,1140,1142,1146,1190,1193,1196],{"className":1141},[620],[568,1143],{"className":1144,"style":1145},[624],"height:0.8444em;vertical-align:-0.15em;",[568,1147,1149,1152],{"className":1148},[641],[568,1150,1101],{"className":1151},[641,688],[568,1153,1155],{"className":1154},[692],[568,1156,1158,1181],{"className":1157},[653,654],[568,1159,1161,1178],{"className":1160},[658],[568,1162,1165],{"className":1163,"style":1164},[662],"height:0.1514em;",[568,1166,1168,1172],{"style":1167},"top:-2.55em;margin-left:0em;margin-right:0.05em;",[568,1169],{"className":1170,"style":1171},[670],"height:2.7em;",[568,1173,1175],{"className":1174},[675,676,677,678],[568,1176,603],{"className":1177},[641,688,678],[568,1179,748],{"className":1180},[747],[568,1182,1184],{"className":1183},[658],[568,1185,1188],{"className":1186,"style":1187},[662],"height:0.15em;",[568,1189],{},[568,1191],{"className":1192,"style":912},[636],[568,1194,976],{"className":1195},[916],[568,1197],{"className":1198,"style":912},[636],[568,1200,1202,1206],{"className":1201},[620],[568,1203],{"className":1204,"style":1205},[624],"height:1.4539em;vertical-align:-0.345em;",[568,1207,1209,1212,1321],{"className":1208},[641],[568,1210],{"className":1211},[645,646],[568,1213,1215],{"className":1214},[591],[568,1216,1218,1313],{"className":1217},[653,654],[568,1219,1221,1310],{"className":1220},[658],[568,1222,1225,1239,1247],{"className":1223,"style":1224},[662],"height:1.1089em;",[568,1226,1227,1230],{"style":666},[568,1228],{"className":1229,"style":671},[670],[568,1231,1233],{"className":1232},[675,676,677,678],[568,1234,1236],{"className":1235},[641,678],[568,1237,603],{"className":1238},[641,688,678],[568,1240,1241,1244],{"style":720},[568,1242],{"className":1243,"style":671},[670],[568,1245],{"className":1246,"style":728},[727],[568,1248,1250,1253],{"style":1249},"top:-3.485em;",[568,1251],{"className":1252,"style":671},[670],[568,1254,1256],{"className":1255},[675,676,677,678],[568,1257,1259,1262,1265,1268,1271],{"className":1258},[641,678],[568,1260,606],{"className":1261},[641,678],[568,1263,967],{"className":1264},[645,678],[568,1266,1041],{"className":1267},[641,678],[568,1269,596],{"className":1270},[641,678],[568,1272,1274,1277],{"className":1273},[761,678],[568,1275,973],{"className":1276},[761,678],[568,1278,1280],{"className":1279},[692],[568,1281,1283],{"className":1282},[653],[568,1284,1286],{"className":1285},[658],[568,1287,1289],{"className":1288,"style":882},[662],[568,1290,1291,1294],{"style":885},[568,1292],{"className":1293,"style":709},[670],[568,1295,1297],{"className":1296},[675,713,714,678],[568,1298,1300,1303,1307],{"className":1299},[641,678],[568,1301,603],{"className":1302},[641,688,678],[568,1304,1128],{"className":1305},[1306,678],"mbin",[568,1308,596],{"className":1309},[641,678],[568,1311,748],{"className":1312},[747],[568,1314,1316],{"className":1315},[658],[568,1317,1319],{"className":1318,"style":755},[662],[568,1320],{},[568,1322],{"className":1323},[761,646],". Die Parsevalsche Gleichung ",[568,1326,1328,1387],{"className":1327},[571],[568,1329,1331],{"className":1330},[575],[577,1332,1333],{"xmlns":579},[581,1334,1335,1384],{},[584,1336,1337,1343,1357,1363,1367,1370,1372,1374,1376],{},[591,1338,1339,1341],{},[594,1340,596],{},[601,1342,786],{},[1344,1345,1346,1349,1355],"msubsup",{},[587,1347,1348],{},"∫",[584,1350,1351,1353],{},[587,1352,1041],{},[601,1354,786],{},[601,1356,786],{},[598,1358,1359,1361],{},[601,1360,970],{},[594,1362,606],{},[1364,1365,1366],"mtext",{}," ",[601,1368,1369],{},"d",[601,1371,970],{},[587,1373,976],{},[587,1375,589],{},[1344,1377,1378,1380,1382],{},[601,1379,1101],{},[601,1381,603],{},[594,1383,606],{},[608,1385,1386],{"encoding":610},"\\frac{1}{\\pi}\\int_{-\\pi}^{\\pi} x^2\\,dx = \\sum b_n^2",[568,1388,1390,1585],{"className":1389,"ariaHidden":616},[615],[568,1391,1393,1397,1465,1468,1533,1536,1567,1570,1573,1576,1579,1582],{"className":1392},[620],[568,1394],{"className":1395,"style":1396},[624],"height:1.2734em;vertical-align:-0.4142em;",[568,1398,1400,1403,1462],{"className":1399},[641],[568,1401],{"className":1402},[645,646],[568,1404,1406],{"className":1405},[591],[568,1407,1409,1454],{"className":1408},[653,654],[568,1410,1412,1451],{"className":1411},[658],[568,1413,1415,1429,1437],{"className":1414,"style":663},[662],[568,1416,1417,1420],{"style":666},[568,1418],{"className":1419,"style":671},[670],[568,1421,1423],{"className":1422},[675,676,677,678],[568,1424,1426],{"className":1425},[641,678],[568,1427,786],{"className":1428,"style":869},[641,688,678],[568,1430,1431,1434],{"style":720},[568,1432],{"className":1433,"style":671},[670],[568,1435],{"className":1436,"style":728},[727],[568,1438,1439,1442],{"style":731},[568,1440],{"className":1441,"style":671},[670],[568,1443,1445],{"className":1444},[675,676,677,678],[568,1446,1448],{"className":1447},[641,678],[568,1449,596],{"className":1450},[641,678],[568,1452,748],{"className":1453},[747],[568,1455,1457],{"className":1456},[658],[568,1458,1460],{"className":1459,"style":755},[662],[568,1461],{},[568,1463],{"className":1464},[761,646],[568,1466],{"className":1467,"style":637},[636],[568,1469,1471,1475],{"className":1470},[629],[568,1472,1348],{"className":1473,"style":1474},[629,630,631],"margin-right:0.1945em;position:relative;top:-0.0006em;",[568,1476,1478],{"className":1477},[692],[568,1479,1481,1524],{"className":1480},[653,654],[568,1482,1484,1521],{"className":1483},[658],[568,1485,1488,1506],{"className":1486,"style":1487},[662],"height:0.8593em;",[568,1489,1491,1494],{"style":1490},"top:-2.3442em;margin-left:-0.1945em;margin-right:0.05em;",[568,1492],{"className":1493,"style":1171},[670],[568,1495,1497],{"className":1496},[675,676,677,678],[568,1498,1500,1503],{"className":1499},[641,678],[568,1501,1041],{"className":1502},[641,678],[568,1504,786],{"className":1505,"style":869},[641,688,678],[568,1507,1509,1512],{"style":1508},"top:-3.2579em;margin-right:0.05em;",[568,1510],{"className":1511,"style":1171},[670],[568,1513,1515],{"className":1514},[675,676,677,678],[568,1516,1518],{"className":1517},[641,678],[568,1519,786],{"className":1520,"style":869},[641,688,678],[568,1522,748],{"className":1523},[747],[568,1525,1527],{"className":1526},[658],[568,1528,1531],{"className":1529,"style":1530},[662],"height:0.4142em;",[568,1532],{},[568,1534],{"className":1535,"style":637},[636],[568,1537,1539,1542],{"className":1538},[641],[568,1540,970],{"className":1541},[641,688],[568,1543,1545],{"className":1544},[692],[568,1546,1548],{"className":1547},[653],[568,1549,1551],{"className":1550},[658],[568,1552,1555],{"className":1553,"style":1554},[662],"height:0.8141em;",[568,1556,1558,1561],{"style":1557},"top:-3.063em;margin-right:0.05em;",[568,1559],{"className":1560,"style":1171},[670],[568,1562,1564],{"className":1563},[675,676,677,678],[568,1565,606],{"className":1566},[641,678],[568,1568],{"className":1569,"style":637},[636],[568,1571,1369],{"className":1572},[641,688],[568,1574,970],{"className":1575},[641,688],[568,1577],{"className":1578,"style":912},[636],[568,1580,976],{"className":1581},[916],[568,1583],{"className":1584,"style":912},[636],[568,1586,1588,1592,1595,1598],{"className":1587},[620],[568,1589],{"className":1590,"style":1591},[624],"height:1.0641em;vertical-align:-0.25em;",[568,1593,589],{"className":1594,"style":632},[629,630,631],[568,1596],{"className":1597,"style":637},[636],[568,1599,1601,1604],{"className":1600},[641],[568,1602,1101],{"className":1603},[641,688],[568,1605,1607],{"className":1606},[692],[568,1608,1610,1642],{"className":1609},[653,654],[568,1611,1613,1639],{"className":1612},[658],[568,1614,1616,1628],{"className":1615,"style":1554},[662],[568,1617,1619,1622],{"style":1618},"top:-2.453em;margin-left:0em;margin-right:0.05em;",[568,1620],{"className":1621,"style":1171},[670],[568,1623,1625],{"className":1624},[675,676,677,678],[568,1626,603],{"className":1627},[641,688,678],[568,1629,1630,1633],{"style":1557},[568,1631],{"className":1632,"style":1171},[670],[568,1634,1636],{"className":1635},[675,676,677,678],[568,1637,606],{"className":1638},[641,678],[568,1640,748],{"className":1641},[747],[568,1643,1645],{"className":1644},[658],[568,1646,1649],{"className":1647,"style":1648},[662],"height:0.247em;",[568,1650],{}," ergibt ",[568,1653,1655,1699],{"className":1654},[571],[568,1656,1658],{"className":1657},[575],[577,1659,1660],{"xmlns":579},[581,1661,1662,1696],{},[584,1663,1664,1679,1681,1684,1686],{},[591,1665,1666,1676],{},[584,1667,1668,1670],{},[594,1669,606],{},[598,1671,1672,1674],{},[601,1673,786],{},[594,1675,606],{},[594,1677,1678],{},"3",[587,1680,976],{},[594,1682,1683],{},"4",[587,1685,589],{},[591,1687,1688,1690],{},[594,1689,596],{},[598,1691,1692,1694],{},[601,1693,603],{},[594,1695,606],{},[608,1697,1698],{"encoding":610},"\\frac{2\\pi^2}{3} = 4 \\sum \\frac{1}{n^2}",[568,1700,1702,1814],{"className":1701,"ariaHidden":616},[615],[568,1703,1705,1708,1805,1808,1811],{"className":1704},[620],[568,1706],{"className":1707,"style":810},[624],[568,1709,1711,1714,1802],{"className":1710},[641],[568,1712],{"className":1713},[645,646],[568,1715,1717],{"className":1716},[591],[568,1718,1720,1794],{"className":1719},[653,654],[568,1721,1723,1791],{"className":1722},[658],[568,1724,1726,1740,1748],{"className":1725,"style":829},[662],[568,1727,1728,1731],{"style":666},[568,1729],{"className":1730,"style":671},[670],[568,1732,1734],{"className":1733},[675,676,677,678],[568,1735,1737],{"className":1736},[641,678],[568,1738,1678],{"className":1739},[641,678],[568,1741,1742,1745],{"style":720},[568,1743],{"className":1744,"style":671},[670],[568,1746],{"className":1747,"style":728},[727],[568,1749,1750,1753],{"style":731},[568,1751],{"className":1752,"style":671},[670],[568,1754,1756],{"className":1755},[675,676,677,678],[568,1757,1759,1762],{"className":1758},[641,678],[568,1760,606],{"className":1761},[641,678],[568,1763,1765,1768],{"className":1764},[641,678],[568,1766,786],{"className":1767,"style":869},[641,688,678],[568,1769,1771],{"className":1770},[692],[568,1772,1774],{"className":1773},[653],[568,1775,1777],{"className":1776},[658],[568,1778,1780],{"className":1779,"style":882},[662],[568,1781,1782,1785],{"style":885},[568,1783],{"className":1784,"style":709},[670],[568,1786,1788],{"className":1787},[675,713,714,678],[568,1789,606],{"className":1790},[641,678],[568,1792,748],{"className":1793},[747],[568,1795,1797],{"className":1796},[658],[568,1798,1800],{"className":1799,"style":755},[662],[568,1801],{},[568,1803],{"className":1804},[761,646],[568,1806],{"className":1807,"style":912},[636],[568,1809,976],{"className":1810},[916],[568,1812],{"className":1813,"style":912},[636],[568,1815,1817,1820,1823,1826,1829,1832],{"className":1816},[620],[568,1818],{"className":1819,"style":625},[624],[568,1821,1683],{"className":1822},[641],[568,1824],{"className":1825,"style":637},[636],[568,1827,589],{"className":1828,"style":632},[629,630,631],[568,1830],{"className":1831,"style":637},[636],[568,1833,1835,1838,1923],{"className":1834},[641],[568,1836],{"className":1837},[645,646],[568,1839,1841],{"className":1840},[591],[568,1842,1844,1915],{"className":1843},[653,654],[568,1845,1847,1912],{"className":1846},[658],[568,1848,1850,1890,1898],{"className":1849,"style":663},[662],[568,1851,1852,1855],{"style":666},[568,1853],{"className":1854,"style":671},[670],[568,1856,1858],{"className":1857},[675,676,677,678],[568,1859,1861],{"className":1860},[641,678],[568,1862,1864,1867],{"className":1863},[641,678],[568,1865,603],{"className":1866},[641,688,678],[568,1868,1870],{"className":1869},[692],[568,1871,1873],{"className":1872},[653],[568,1874,1876],{"className":1875},[658],[568,1877,1879],{"className":1878,"style":702},[662],[568,1880,1881,1884],{"style":705},[568,1882],{"className":1883,"style":709},[670],[568,1885,1887],{"className":1886},[675,713,714,678],[568,1888,606],{"className":1889},[641,678],[568,1891,1892,1895],{"style":720},[568,1893],{"className":1894,"style":671},[670],[568,1896],{"className":1897,"style":728},[727],[568,1899,1900,1903],{"style":731},[568,1901],{"className":1902,"style":671},[670],[568,1904,1906],{"className":1905},[675,676,677,678],[568,1907,1909],{"className":1908},[641,678],[568,1910,596],{"className":1911},[641,678],[568,1913,748],{"className":1914},[747],[568,1916,1918],{"className":1917},[658],[568,1919,1921],{"className":1920,"style":755},[662],[568,1922],{},[568,1924],{"className":1925},[761,646],".",[564,1928,1929],{},"Daraus folgen weitere Summen:",[1931,1932,1933,2457,3015],"ul",{},[1934,1935,1936,1937,1965,1966,1926],"li",{},"Nur gerade ",[568,1938,1940,1953],{"className":1939},[571],[568,1941,1943],{"className":1942},[575],[577,1944,1945],{"xmlns":579},[581,1946,1947,1951],{},[584,1948,1949],{},[601,1950,603],{},[608,1952,603],{"encoding":610},[568,1954,1956],{"className":1955,"ariaHidden":616},[615],[568,1957,1959,1962],{"className":1958},[620],[568,1960],{"className":1961,"style":1020},[624],[568,1963,603],{"className":1964},[641,688],": ",[568,1967,1969,2035],{"className":1968},[571],[568,1970,1972],{"className":1971},[575],[577,1973,1974],{"xmlns":579},[581,1975,1976,2032],{},[584,1977,1978,1980,1998,2000,2006,2009,2019,2021],{},[587,1979,589],{},[591,1981,1982,1984],{},[594,1983,596],{},[584,1985,1986,1988,1990,1992],{},[587,1987,967],{"stretchy":966},[594,1989,606],{},[601,1991,603],{},[598,1993,1994,1996],{},[587,1995,973],{"stretchy":966},[594,1997,606],{},[587,1999,976],{},[591,2001,2002,2004],{},[594,2003,596],{},[594,2005,1683],{},[587,2007,2008],{},"⋅",[591,2010,2011,2017],{},[598,2012,2013,2015],{},[601,2014,786],{},[594,2016,606],{},[594,2018,791],{},[587,2020,976],{},[591,2022,2023,2029],{},[598,2024,2025,2027],{},[601,2026,786],{},[594,2028,606],{},[594,2030,2031],{},"24",[608,2033,2034],{"encoding":610},"\\sum \\frac{1}{(2n)^2} = \\frac{1}{4} \\cdot \\frac{\\pi^2}{6} = \\frac{\\pi^2}{24}",[568,2036,2038,2164,2248,2357],{"className":2037,"ariaHidden":616},[615],[568,2039,2041,2045,2048,2051,2155,2158,2161],{"className":2040},[620],[568,2042],{"className":2043,"style":2044},[624],"height:1.3651em;vertical-align:-0.52em;",[568,2046,589],{"className":2047,"style":632},[629,630,631],[568,2049],{"className":2050,"style":637},[636],[568,2052,2054,2057,2152],{"className":2053},[641],[568,2055],{"className":2056},[645,646],[568,2058,2060],{"className":2059},[591],[568,2061,2063,2143],{"className":2062},[653,654],[568,2064,2066,2140],{"className":2065},[658],[568,2067,2069,2118,2126],{"className":2068,"style":663},[662],[568,2070,2071,2074],{"style":666},[568,2072],{"className":2073,"style":671},[670],[568,2075,2077],{"className":2076},[675,676,677,678],[568,2078,2080,2083,2086,2089],{"className":2079},[641,678],[568,2081,967],{"className":2082},[645,678],[568,2084,606],{"className":2085},[641,678],[568,2087,603],{"className":2088},[641,688,678],[568,2090,2092,2095],{"className":2091},[761,678],[568,2093,973],{"className":2094},[761,678],[568,2096,2098],{"className":2097},[692],[568,2099,2101],{"className":2100},[653],[568,2102,2104],{"className":2103},[658],[568,2105,2107],{"className":2106,"style":702},[662],[568,2108,2109,2112],{"style":705},[568,2110],{"className":2111,"style":709},[670],[568,2113,2115],{"className":2114},[675,713,714,678],[568,2116,606],{"className":2117},[641,678],[568,2119,2120,2123],{"style":720},[568,2121],{"className":2122,"style":671},[670],[568,2124],{"className":2125,"style":728},[727],[568,2127,2128,2131],{"style":731},[568,2129],{"className":2130,"style":671},[670],[568,2132,2134],{"className":2133},[675,676,677,678],[568,2135,2137],{"className":2136},[641,678],[568,2138,596],{"className":2139},[641,678],[568,2141,748],{"className":2142},[747],[568,2144,2146],{"className":2145},[658],[568,2147,2150],{"className":2148,"style":2149},[662],"height:0.52em;",[568,2151],{},[568,2153],{"className":2154},[761,646],[568,2156],{"className":2157,"style":912},[636],[568,2159,976],{"className":2160},[916],[568,2162],{"className":2163,"style":912},[636],[568,2165,2167,2170,2238,2242,2245],{"className":2166},[620],[568,2168],{"className":2169,"style":625},[624],[568,2171,2173,2176,2235],{"className":2172},[641],[568,2174],{"className":2175},[645,646],[568,2177,2179],{"className":2178},[591],[568,2180,2182,2227],{"className":2181},[653,654],[568,2183,2185,2224],{"className":2184},[658],[568,2186,2188,2202,2210],{"className":2187,"style":663},[662],[568,2189,2190,2193],{"style":666},[568,2191],{"className":2192,"style":671},[670],[568,2194,2196],{"className":2195},[675,676,677,678],[568,2197,2199],{"className":2198},[641,678],[568,2200,1683],{"className":2201},[641,678],[568,2203,2204,2207],{"style":720},[568,2205],{"className":2206,"style":671},[670],[568,2208],{"className":2209,"style":728},[727],[568,2211,2212,2215],{"style":731},[568,2213],{"className":2214,"style":671},[670],[568,2216,2218],{"className":2217},[675,676,677,678],[568,2219,2221],{"className":2220},[641,678],[568,2222,596],{"className":2223},[641,678],[568,2225,748],{"className":2226},[747],[568,2228,2230],{"className":2229},[658],[568,2231,2233],{"className":2232,"style":755},[662],[568,2234],{},[568,2236],{"className":2237},[761,646],[568,2239],{"className":2240,"style":2241},[636],"margin-right:0.2222em;",[568,2243,2008],{"className":2244},[1306],[568,2246],{"className":2247,"style":2241},[636],[568,2249,2251,2254,2348,2351,2354],{"className":2250},[620],[568,2252],{"className":2253,"style":810},[624],[568,2255,2257,2260,2345],{"className":2256},[641],[568,2258],{"className":2259},[645,646],[568,2261,2263],{"className":2262},[591],[568,2264,2266,2337],{"className":2265},[653,654],[568,2267,2269,2334],{"className":2268},[658],[568,2270,2272,2286,2294],{"className":2271,"style":829},[662],[568,2273,2274,2277],{"style":666},[568,2275],{"className":2276,"style":671},[670],[568,2278,2280],{"className":2279},[675,676,677,678],[568,2281,2283],{"className":2282},[641,678],[568,2284,791],{"className":2285},[641,678],[568,2287,2288,2291],{"style":720},[568,2289],{"className":2290,"style":671},[670],[568,2292],{"className":2293,"style":728},[727],[568,2295,2296,2299],{"style":731},[568,2297],{"className":2298,"style":671},[670],[568,2300,2302],{"className":2301},[675,676,677,678],[568,2303,2305],{"className":2304},[641,678],[568,2306,2308,2311],{"className":2307},[641,678],[568,2309,786],{"className":2310,"style":869},[641,688,678],[568,2312,2314],{"className":2313},[692],[568,2315,2317],{"className":2316},[653],[568,2318,2320],{"className":2319},[658],[568,2321,2323],{"className":2322,"style":882},[662],[568,2324,2325,2328],{"style":885},[568,2326],{"className":2327,"style":709},[670],[568,2329,2331],{"className":2330},[675,713,714,678],[568,2332,606],{"className":2333},[641,678],[568,2335,748],{"className":2336},[747],[568,2338,2340],{"className":2339},[658],[568,2341,2343],{"className":2342,"style":755},[662],[568,2344],{},[568,2346],{"className":2347},[761,646],[568,2349],{"className":2350,"style":912},[636],[568,2352,976],{"className":2353},[916],[568,2355],{"className":2356,"style":912},[636],[568,2358,2360,2363],{"className":2359},[620],[568,2361],{"className":2362,"style":810},[624],[568,2364,2366,2369,2454],{"className":2365},[641],[568,2367],{"className":2368},[645,646],[568,2370,2372],{"className":2371},[591],[568,2373,2375,2446],{"className":2374},[653,654],[568,2376,2378,2443],{"className":2377},[658],[568,2379,2381,2395,2403],{"className":2380,"style":829},[662],[568,2382,2383,2386],{"style":666},[568,2384],{"className":2385,"style":671},[670],[568,2387,2389],{"className":2388},[675,676,677,678],[568,2390,2392],{"className":2391},[641,678],[568,2393,2031],{"className":2394},[641,678],[568,2396,2397,2400],{"style":720},[568,2398],{"className":2399,"style":671},[670],[568,2401],{"className":2402,"style":728},[727],[568,2404,2405,2408],{"style":731},[568,2406],{"className":2407,"style":671},[670],[568,2409,2411],{"className":2410},[675,676,677,678],[568,2412,2414],{"className":2413},[641,678],[568,2415,2417,2420],{"className":2416},[641,678],[568,2418,786],{"className":2419,"style":869},[641,688,678],[568,2421,2423],{"className":2422},[692],[568,2424,2426],{"className":2425},[653],[568,2427,2429],{"className":2428},[658],[568,2430,2432],{"className":2431,"style":882},[662],[568,2433,2434,2437],{"style":885},[568,2435],{"className":2436,"style":709},[670],[568,2438,2440],{"className":2439},[675,713,714,678],[568,2441,606],{"className":2442},[641,678],[568,2444,748],{"className":2445},[747],[568,2447,2449],{"className":2448},[658],[568,2450,2452],{"className":2451,"style":755},[662],[568,2453],{},[568,2455],{"className":2456},[761,646],[1934,2458,2459,2460,1965,2488,1926],{},"Nur ungerade ",[568,2461,2463,2476],{"className":2462},[571],[568,2464,2466],{"className":2465},[575],[577,2467,2468],{"xmlns":579},[581,2469,2470,2474],{},[584,2471,2472],{},[601,2473,603],{},[608,2475,603],{"encoding":610},[568,2477,2479],{"className":2478,"ariaHidden":616},[615],[568,2480,2482,2485],{"className":2481},[620],[568,2483],{"className":2484,"style":1020},[624],[568,2486,603],{"className":2487},[641,688],[568,2489,2491,2564],{"className":2490},[571],[568,2492,2494],{"className":2493},[575],[577,2495,2496],{"xmlns":579},[581,2497,2498,2561],{},[584,2499,2500,2502,2524,2526,2536,2538,2548,2550],{},[587,2501,589],{},[591,2503,2504,2506],{},[594,2505,596],{},[584,2507,2508,2510,2512,2514,2516,2518],{},[587,2509,967],{"stretchy":966},[594,2511,606],{},[601,2513,603],{},[587,2515,1041],{},[594,2517,596],{},[598,2519,2520,2522],{},[587,2521,973],{"stretchy":966},[594,2523,606],{},[587,2525,976],{},[591,2527,2528,2534],{},[598,2529,2530,2532],{},[601,2531,786],{},[594,2533,606],{},[594,2535,791],{},[587,2537,1041],{},[591,2539,2540,2546],{},[598,2541,2542,2544],{},[601,2543,786],{},[594,2545,606],{},[594,2547,2031],{},[587,2549,976],{},[591,2551,2552,2558],{},[598,2553,2554,2556],{},[601,2555,786],{},[594,2557,606],{},[594,2559,2560],{},"8",[608,2562,2563],{"encoding":610},"\\sum \\frac{1}{(2n - 1)^2} = \\frac{\\pi^2}{6} - \\frac{\\pi^2}{24} = \\frac{\\pi^2}{8}",[568,2565,2567,2697,2806,2915],{"className":2566,"ariaHidden":616},[615],[568,2568,2570,2573,2576,2579,2688,2691,2694],{"className":2569},[620],[568,2571],{"className":2572,"style":2044},[624],[568,2574,589],{"className":2575,"style":632},[629,630,631],[568,2577],{"className":2578,"style":637},[636],[568,2580,2582,2585,2685],{"className":2581},[641],[568,2583],{"className":2584},[645,646],[568,2586,2588],{"className":2587},[591],[568,2589,2591,2677],{"className":2590},[653,654],[568,2592,2594,2674],{"className":2593},[658],[568,2595,2597,2652,2660],{"className":2596,"style":663},[662],[568,2598,2599,2602],{"style":666},[568,2600],{"className":2601,"style":671},[670],[568,2603,2605],{"className":2604},[675,676,677,678],[568,2606,2608,2611,2614,2617,2620,2623],{"className":2607},[641,678],[568,2609,967],{"className":2610},[645,678],[568,2612,606],{"className":2613},[641,678],[568,2615,603],{"className":2616},[641,688,678],[568,2618,1041],{"className":2619},[1306,678],[568,2621,596],{"className":2622},[641,678],[568,2624,2626,2629],{"className":2625},[761,678],[568,2627,973],{"className":2628},[761,678],[568,2630,2632],{"className":2631},[692],[568,2633,2635],{"className":2634},[653],[568,2636,2638],{"className":2637},[658],[568,2639,2641],{"className":2640,"style":702},[662],[568,2642,2643,2646],{"style":705},[568,2644],{"className":2645,"style":709},[670],[568,2647,2649],{"className":2648},[675,713,714,678],[568,2650,606],{"className":2651},[641,678],[568,2653,2654,2657],{"style":720},[568,2655],{"className":2656,"style":671},[670],[568,2658],{"className":2659,"style":728},[727],[568,2661,2662,2665],{"style":731},[568,2663],{"className":2664,"style":671},[670],[568,2666,2668],{"className":2667},[675,676,677,678],[568,2669,2671],{"className":2670},[641,678],[568,2672,596],{"className":2673},[641,678],[568,2675,748],{"className":2676},[747],[568,2678,2680],{"className":2679},[658],[568,2681,2683],{"className":2682,"style":2149},[662],[568,2684],{},[568,2686],{"className":2687},[761,646],[568,2689],{"className":2690,"style":912},[636],[568,2692,976],{"className":2693},[916],[568,2695],{"className":2696,"style":912},[636],[568,2698,2700,2703,2797,2800,2803],{"className":2699},[620],[568,2701],{"className":2702,"style":810},[624],[568,2704,2706,2709,2794],{"className":2705},[641],[568,2707],{"className":2708},[645,646],[568,2710,2712],{"className":2711},[591],[568,2713,2715,2786],{"className":2714},[653,654],[568,2716,2718,2783],{"className":2717},[658],[568,2719,2721,2735,2743],{"className":2720,"style":829},[662],[568,2722,2723,2726],{"style":666},[568,2724],{"className":2725,"style":671},[670],[568,2727,2729],{"className":2728},[675,676,677,678],[568,2730,2732],{"className":2731},[641,678],[568,2733,791],{"className":2734},[641,678],[568,2736,2737,2740],{"style":720},[568,2738],{"className":2739,"style":671},[670],[568,2741],{"className":2742,"style":728},[727],[568,2744,2745,2748],{"style":731},[568,2746],{"className":2747,"style":671},[670],[568,2749,2751],{"className":2750},[675,676,677,678],[568,2752,2754],{"className":2753},[641,678],[568,2755,2757,2760],{"className":2756},[641,678],[568,2758,786],{"className":2759,"style":869},[641,688,678],[568,2761,2763],{"className":2762},[692],[568,2764,2766],{"className":2765},[653],[568,2767,2769],{"className":2768},[658],[568,2770,2772],{"className":2771,"style":882},[662],[568,2773,2774,2777],{"style":885},[568,2775],{"className":2776,"style":709},[670],[568,2778,2780],{"className":2779},[675,713,714,678],[568,2781,606],{"className":2782},[641,678],[568,2784,748],{"className":2785},[747],[568,2787,2789],{"className":2788},[658],[568,2790,2792],{"className":2791,"style":755},[662],[568,2793],{},[568,2795],{"className":2796},[761,646],[568,2798],{"className":2799,"style":2241},[636],[568,2801,1041],{"className":2802},[1306],[568,2804],{"className":2805,"style":2241},[636],[568,2807,2809,2812,2906,2909,2912],{"className":2808},[620],[568,2810],{"className":2811,"style":810},[624],[568,2813,2815,2818,2903],{"className":2814},[641],[568,2816],{"className":2817},[645,646],[568,2819,2821],{"className":2820},[591],[568,2822,2824,2895],{"className":2823},[653,654],[568,2825,2827,2892],{"className":2826},[658],[568,2828,2830,2844,2852],{"className":2829,"style":829},[662],[568,2831,2832,2835],{"style":666},[568,2833],{"className":2834,"style":671},[670],[568,2836,2838],{"className":2837},[675,676,677,678],[568,2839,2841],{"className":2840},[641,678],[568,2842,2031],{"className":2843},[641,678],[568,2845,2846,2849],{"style":720},[568,2847],{"className":2848,"style":671},[670],[568,2850],{"className":2851,"style":728},[727],[568,2853,2854,2857],{"style":731},[568,2855],{"className":2856,"style":671},[670],[568,2858,2860],{"className":2859},[675,676,677,678],[568,2861,2863],{"className":2862},[641,678],[568,2864,2866,2869],{"className":2865},[641,678],[568,2867,786],{"className":2868,"style":869},[641,688,678],[568,2870,2872],{"className":2871},[692],[568,2873,2875],{"className":2874},[653],[568,2876,2878],{"className":2877},[658],[568,2879,2881],{"className":2880,"style":882},[662],[568,2882,2883,2886],{"style":885},[568,2884],{"className":2885,"style":709},[670],[568,2887,2889],{"className":2888},[675,713,714,678],[568,2890,606],{"className":2891},[641,678],[568,2893,748],{"className":2894},[747],[568,2896,2898],{"className":2897},[658],[568,2899,2901],{"className":2900,"style":755},[662],[568,2902],{},[568,2904],{"className":2905},[761,646],[568,2907],{"className":2908,"style":912},[636],[568,2910,976],{"className":2911},[916],[568,2913],{"className":2914,"style":912},[636],[568,2916,2918,2921],{"className":2917},[620],[568,2919],{"className":2920,"style":810},[624],[568,2922,2924,2927,3012],{"className":2923},[641],[568,2925],{"className":2926},[645,646],[568,2928,2930],{"className":2929},[591],[568,2931,2933,3004],{"className":2932},[653,654],[568,2934,2936,3001],{"className":2935},[658],[568,2937,2939,2953,2961],{"className":2938,"style":829},[662],[568,2940,2941,2944],{"style":666},[568,2942],{"className":2943,"style":671},[670],[568,2945,2947],{"className":2946},[675,676,677,678],[568,2948,2950],{"className":2949},[641,678],[568,2951,2560],{"className":2952},[641,678],[568,2954,2955,2958],{"style":720},[568,2956],{"className":2957,"style":671},[670],[568,2959],{"className":2960,"style":728},[727],[568,2962,2963,2966],{"style":731},[568,2964],{"className":2965,"style":671},[670],[568,2967,2969],{"className":2968},[675,676,677,678],[568,2970,2972],{"className":2971},[641,678],[568,2973,2975,2978],{"className":2974},[641,678],[568,2976,786],{"className":2977,"style":869},[641,688,678],[568,2979,2981],{"className":2980},[692],[568,2982,2984],{"className":2983},[653],[568,2985,2987],{"className":2986},[658],[568,2988,2990],{"className":2989,"style":882},[662],[568,2991,2992,2995],{"style":885},[568,2993],{"className":2994,"style":709},[670],[568,2996,2998],{"className":2997},[675,713,714,678],[568,2999,606],{"className":3000},[641,678],[568,3002,748],{"className":3003},[747],[568,3005,3007],{"className":3006},[658],[568,3008,3010],{"className":3009,"style":755},[662],[568,3011],{},[568,3013],{"className":3014},[761,646],[1934,3016,3017,3018,1926],{},"Alternierend: ",[568,3019,3021,3104],{"className":3020},[571],[568,3022,3024],{"className":3023},[575],[577,3025,3026],{"xmlns":579},[581,3027,3028,3101],{},[584,3029,3030,3032,3060,3062,3072,3074,3076,3078,3088,3090],{},[587,3031,589],{},[591,3033,3034,3054],{},[584,3035,3036,3038,3040,3042],{},[587,3037,967],{"stretchy":966},[587,3039,1041],{},[594,3041,596],{},[598,3043,3044,3046],{},[587,3045,973],{"stretchy":966},[584,3047,3048,3050,3052],{},[601,3049,603],{},[587,3051,1128],{},[594,3053,596],{},[598,3055,3056,3058],{},[601,3057,603],{},[594,3059,606],{},[587,3061,976],{},[591,3063,3064,3070],{},[598,3065,3066,3068],{},[601,3067,786],{},[594,3069,606],{},[594,3071,791],{},[587,3073,1041],{},[594,3075,606],{},[587,3077,2008],{},[591,3079,3080,3086],{},[598,3081,3082,3084],{},[601,3083,786],{},[594,3085,606],{},[594,3087,2031],{},[587,3089,976],{},[591,3091,3092,3098],{},[598,3093,3094,3096],{},[601,3095,786],{},[594,3097,606],{},[594,3099,3100],{},"12",[608,3102,3103],{"encoding":610},"\\sum \\frac{(-1)^{n+1}}{n^2} = \\frac{\\pi^2}{6} - 2 \\cdot \\frac{\\pi^2}{24} = \\frac{\\pi^2}{12}",[568,3105,3107,3266,3375,3394,3503],{"className":3106,"ariaHidden":616},[615],[568,3108,3110,3113,3116,3119,3257,3260,3263],{"className":3109},[620],[568,3111],{"className":3112,"style":1205},[624],[568,3114,589],{"className":3115,"style":632},[629,630,631],[568,3117],{"className":3118,"style":637},[636],[568,3120,3122,3125,3254],{"className":3121},[641],[568,3123],{"className":3124},[645,646],[568,3126,3128],{"className":3127},[591],[568,3129,3131,3246],{"className":3130},[653,654],[568,3132,3134,3243],{"className":3133},[658],[568,3135,3137,3177,3185],{"className":3136,"style":1224},[662],[568,3138,3139,3142],{"style":666},[568,3140],{"className":3141,"style":671},[670],[568,3143,3145],{"className":3144},[675,676,677,678],[568,3146,3148],{"className":3147},[641,678],[568,3149,3151,3154],{"className":3150},[641,678],[568,3152,603],{"className":3153},[641,688,678],[568,3155,3157],{"className":3156},[692],[568,3158,3160],{"className":3159},[653],[568,3161,3163],{"className":3162},[658],[568,3164,3166],{"className":3165,"style":702},[662],[568,3167,3168,3171],{"style":705},[568,3169],{"className":3170,"style":709},[670],[568,3172,3174],{"className":3173},[675,713,714,678],[568,3175,606],{"className":3176},[641,678],[568,3178,3179,3182],{"style":720},[568,3180],{"className":3181,"style":671},[670],[568,3183],{"className":3184,"style":728},[727],[568,3186,3187,3190],{"style":1249},[568,3188],{"className":3189,"style":671},[670],[568,3191,3193],{"className":3192},[675,676,677,678],[568,3194,3196,3199,3202,3205],{"className":3195},[641,678],[568,3197,967],{"className":3198},[645,678],[568,3200,1041],{"className":3201},[641,678],[568,3203,596],{"className":3204},[641,678],[568,3206,3208,3211],{"className":3207},[761,678],[568,3209,973],{"className":3210},[761,678],[568,3212,3214],{"className":3213},[692],[568,3215,3217],{"className":3216},[653],[568,3218,3220],{"className":3219},[658],[568,3221,3223],{"className":3222,"style":882},[662],[568,3224,3225,3228],{"style":885},[568,3226],{"className":3227,"style":709},[670],[568,3229,3231],{"className":3230},[675,713,714,678],[568,3232,3234,3237,3240],{"className":3233},[641,678],[568,3235,603],{"className":3236},[641,688,678],[568,3238,1128],{"className":3239},[1306,678],[568,3241,596],{"className":3242},[641,678],[568,3244,748],{"className":3245},[747],[568,3247,3249],{"className":3248},[658],[568,3250,3252],{"className":3251,"style":755},[662],[568,3253],{},[568,3255],{"className":3256},[761,646],[568,3258],{"className":3259,"style":912},[636],[568,3261,976],{"className":3262},[916],[568,3264],{"className":3265,"style":912},[636],[568,3267,3269,3272,3366,3369,3372],{"className":3268},[620],[568,3270],{"className":3271,"style":810},[624],[568,3273,3275,3278,3363],{"className":3274},[641],[568,3276],{"className":3277},[645,646],[568,3279,3281],{"className":3280},[591],[568,3282,3284,3355],{"className":3283},[653,654],[568,3285,3287,3352],{"className":3286},[658],[568,3288,3290,3304,3312],{"className":3289,"style":829},[662],[568,3291,3292,3295],{"style":666},[568,3293],{"className":3294,"style":671},[670],[568,3296,3298],{"className":3297},[675,676,677,678],[568,3299,3301],{"className":3300},[641,678],[568,3302,791],{"className":3303},[641,678],[568,3305,3306,3309],{"style":720},[568,3307],{"className":3308,"style":671},[670],[568,3310],{"className":3311,"style":728},[727],[568,3313,3314,3317],{"style":731},[568,3315],{"className":3316,"style":671},[670],[568,3318,3320],{"className":3319},[675,676,677,678],[568,3321,3323],{"className":3322},[641,678],[568,3324,3326,3329],{"className":3325},[641,678],[568,3327,786],{"className":3328,"style":869},[641,688,678],[568,3330,3332],{"className":3331},[692],[568,3333,3335],{"className":3334},[653],[568,3336,3338],{"className":3337},[658],[568,3339,3341],{"className":3340,"style":882},[662],[568,3342,3343,3346],{"style":885},[568,3344],{"className":3345,"style":709},[670],[568,3347,3349],{"className":3348},[675,713,714,678],[568,3350,606],{"className":3351},[641,678],[568,3353,748],{"className":3354},[747],[568,3356,3358],{"className":3357},[658],[568,3359,3361],{"className":3360,"style":755},[662],[568,3362],{},[568,3364],{"className":3365},[761,646],[568,3367],{"className":3368,"style":2241},[636],[568,3370,1041],{"className":3371},[1306],[568,3373],{"className":3374,"style":2241},[636],[568,3376,3378,3382,3385,3388,3391],{"className":3377},[620],[568,3379],{"className":3380,"style":3381},[624],"height:0.6444em;",[568,3383,606],{"className":3384},[641],[568,3386],{"className":3387,"style":2241},[636],[568,3389,2008],{"className":3390},[1306],[568,3392],{"className":3393,"style":2241},[636],[568,3395,3397,3400,3494,3497,3500],{"className":3396},[620],[568,3398],{"className":3399,"style":810},[624],[568,3401,3403,3406,3491],{"className":3402},[641],[568,3404],{"className":3405},[645,646],[568,3407,3409],{"className":3408},[591],[568,3410,3412,3483],{"className":3411},[653,654],[568,3413,3415,3480],{"className":3414},[658],[568,3416,3418,3432,3440],{"className":3417,"style":829},[662],[568,3419,3420,3423],{"style":666},[568,3421],{"className":3422,"style":671},[670],[568,3424,3426],{"className":3425},[675,676,677,678],[568,3427,3429],{"className":3428},[641,678],[568,3430,2031],{"className":3431},[641,678],[568,3433,3434,3437],{"style":720},[568,3435],{"className":3436,"style":671},[670],[568,3438],{"className":3439,"style":728},[727],[568,3441,3442,3445],{"style":731},[568,3443],{"className":3444,"style":671},[670],[568,3446,3448],{"className":3447},[675,676,677,678],[568,3449,3451],{"className":3450},[641,678],[568,3452,3454,3457],{"className":3453},[641,678],[568,3455,786],{"className":3456,"style":869},[641,688,678],[568,3458,3460],{"className":3459},[692],[568,3461,3463],{"className":3462},[653],[568,3464,3466],{"className":3465},[658],[568,3467,3469],{"className":3468,"style":882},[662],[568,3470,3471,3474],{"style":885},[568,3472],{"className":3473,"style":709},[670],[568,3475,3477],{"className":3476},[675,713,714,678],[568,3478,606],{"className":3479},[641,678],[568,3481,748],{"className":3482},[747],[568,3484,3486],{"className":3485},[658],[568,3487,3489],{"className":3488,"style":755},[662],[568,3490],{},[568,3492],{"className":3493},[761,646],[568,3495],{"className":3496,"style":912},[636],[568,3498,976],{"className":3499},[916],[568,3501],{"className":3502,"style":912},[636],[568,3504,3506,3509],{"className":3505},[620],[568,3507],{"className":3508,"style":810},[624],[568,3510,3512,3515,3600],{"className":3511},[641],[568,3513],{"className":3514},[645,646],[568,3516,3518],{"className":3517},[591],[568,3519,3521,3592],{"className":3520},[653,654],[568,3522,3524,3589],{"className":3523},[658],[568,3525,3527,3541,3549],{"className":3526,"style":829},[662],[568,3528,3529,3532],{"style":666},[568,3530],{"className":3531,"style":671},[670],[568,3533,3535],{"className":3534},[675,676,677,678],[568,3536,3538],{"className":3537},[641,678],[568,3539,3100],{"className":3540},[641,678],[568,3542,3543,3546],{"style":720},[568,3544],{"className":3545,"style":671},[670],[568,3547],{"className":3548,"style":728},[727],[568,3550,3551,3554],{"style":731},[568,3552],{"className":3553,"style":671},[670],[568,3555,3557],{"className":3556},[675,676,677,678],[568,3558,3560],{"className":3559},[641,678],[568,3561,3563,3566],{"className":3562},[641,678],[568,3564,786],{"className":3565,"style":869},[641,688,678],[568,3567,3569],{"className":3568},[692],[568,3570,3572],{"className":3571},[653],[568,3573,3575],{"className":3574},[658],[568,3576,3578],{"className":3577,"style":882},[662],[568,3579,3580,3583],{"style":885},[568,3581],{"className":3582,"style":709},[670],[568,3584,3586],{"className":3585},[675,713,714,678],[568,3587,606],{"className":3588},[641,678],[568,3590,748],{"className":3591},[747],[568,3593,3595],{"className":3594},[658],[568,3596,3598],{"className":3597,"style":755},[662],[568,3599],{},[568,3601],{"className":3602},[761,646],[564,3604,3605,3606,1926],{},"Für vierte Potenzen gilt entsprechend ",[568,3607,3609,3646],{"className":3608},[571],[568,3610,3612],{"className":3611},[575],[577,3613,3614],{"xmlns":579},[581,3615,3616,3643],{},[584,3617,3618,3620,3630,3632],{},[587,3619,589],{},[591,3621,3622,3624],{},[594,3623,596],{},[598,3625,3626,3628],{},[601,3627,603],{},[594,3629,1683],{},[587,3631,976],{},[591,3633,3634,3640],{},[598,3635,3636,3638],{},[601,3637,786],{},[594,3639,1683],{},[594,3641,3642],{},"90",[608,3644,3645],{"encoding":610},"\\sum \\frac{1}{n^4} = \\frac{\\pi^4}{90}",[568,3647,3649,3764],{"className":3648,"ariaHidden":616},[615],[568,3650,3652,3655,3658,3661,3755,3758,3761],{"className":3651},[620],[568,3653],{"className":3654,"style":625},[624],[568,3656,589],{"className":3657,"style":632},[629,630,631],[568,3659],{"className":3660,"style":637},[636],[568,3662,3664,3667,3752],{"className":3663},[641],[568,3665],{"className":3666},[645,646],[568,3668,3670],{"className":3669},[591],[568,3671,3673,3744],{"className":3672},[653,654],[568,3674,3676,3741],{"className":3675},[658],[568,3677,3679,3719,3727],{"className":3678,"style":663},[662],[568,3680,3681,3684],{"style":666},[568,3682],{"className":3683,"style":671},[670],[568,3685,3687],{"className":3686},[675,676,677,678],[568,3688,3690],{"className":3689},[641,678],[568,3691,3693,3696],{"className":3692},[641,678],[568,3694,603],{"className":3695},[641,688,678],[568,3697,3699],{"className":3698},[692],[568,3700,3702],{"className":3701},[653],[568,3703,3705],{"className":3704},[658],[568,3706,3708],{"className":3707,"style":702},[662],[568,3709,3710,3713],{"style":705},[568,3711],{"className":3712,"style":709},[670],[568,3714,3716],{"className":3715},[675,713,714,678],[568,3717,1683],{"className":3718},[641,678],[568,3720,3721,3724],{"style":720},[568,3722],{"className":3723,"style":671},[670],[568,3725],{"className":3726,"style":728},[727],[568,3728,3729,3732],{"style":731},[568,3730],{"className":3731,"style":671},[670],[568,3733,3735],{"className":3734},[675,676,677,678],[568,3736,3738],{"className":3737},[641,678],[568,3739,596],{"className":3740},[641,678],[568,3742,748],{"className":3743},[747],[568,3745,3747],{"className":3746},[658],[568,3748,3750],{"className":3749,"style":755},[662],[568,3751],{},[568,3753],{"className":3754},[761,646],[568,3756],{"className":3757,"style":912},[636],[568,3759,976],{"className":3760},[916],[568,3762],{"className":3763,"style":912},[636],[568,3765,3767,3770],{"className":3766},[620],[568,3768],{"className":3769,"style":810},[624],[568,3771,3773,3776,3861],{"className":3772},[641],[568,3774],{"className":3775},[645,646],[568,3777,3779],{"className":3778},[591],[568,3780,3782,3853],{"className":3781},[653,654],[568,3783,3785,3850],{"className":3784},[658],[568,3786,3788,3802,3810],{"className":3787,"style":829},[662],[568,3789,3790,3793],{"style":666},[568,3791],{"className":3792,"style":671},[670],[568,3794,3796],{"className":3795},[675,676,677,678],[568,3797,3799],{"className":3798},[641,678],[568,3800,3642],{"className":3801},[641,678],[568,3803,3804,3807],{"style":720},[568,3805],{"className":3806,"style":671},[670],[568,3808],{"className":3809,"style":728},[727],[568,3811,3812,3815],{"style":731},[568,3813],{"className":3814,"style":671},[670],[568,3816,3818],{"className":3817},[675,676,677,678],[568,3819,3821],{"className":3820},[641,678],[568,3822,3824,3827],{"className":3823},[641,678],[568,3825,786],{"className":3826,"style":869},[641,688,678],[568,3828,3830],{"className":3829},[692],[568,3831,3833],{"className":3832},[653],[568,3834,3836],{"className":3835},[658],[568,3837,3839],{"className":3838,"style":882},[662],[568,3840,3841,3844],{"style":885},[568,3842],{"className":3843,"style":709},[670],[568,3845,3847],{"className":3846},[675,713,714,678],[568,3848,1683],{"className":3849},[641,678],[568,3851,748],{"className":3852},[747],[568,3854,3856],{"className":3855},[658],[568,3857,3859],{"className":3858,"style":755},[662],[568,3860],{},[568,3862],{"className":3863},[761,646],[559,3865,3867],{"id":3866},"beispiele","Beispiele",[564,3869,3870,3871,4302,4303,4334,4335,4433,4434,4475,4476,4516,4517,4614],{},"Die ersten vier Glieder ergeben ",[568,3872,3874,3929],{"className":3873},[571],[568,3875,3877],{"className":3876},[575],[577,3878,3879],{"xmlns":579},[581,3880,3881,3926],{},[584,3882,3883,3885,3887,3893,3895,3902,3904,3911,3913,3921,3923],{},[594,3884,596],{},[587,3886,1128],{},[591,3888,3889,3891],{},[594,3890,596],{},[594,3892,1683],{},[587,3894,1128],{},[591,3896,3897,3899],{},[594,3898,596],{},[594,3900,3901],{},"9",[587,3903,1128],{},[591,3905,3906,3908],{},[594,3907,596],{},[594,3909,3910],{},"16",[587,3912,976],{},[591,3914,3915,3918],{},[594,3916,3917],{},"205",[594,3919,3920],{},"144",[587,3922,794],{},[594,3924,3925],{},"1,4236",[608,3927,3928],{"encoding":610},"1 + \\frac{1}{4} + \\frac{1}{9} + \\frac{1}{16} = \\frac{205}{144} \\approx 1{,}4236",[568,3930,3932,3951,4034,4117,4200,4283],{"className":3931,"ariaHidden":616},[615],[568,3933,3935,3939,3942,3945,3948],{"className":3934},[620],[568,3936],{"className":3937,"style":3938},[624],"height:0.7278em;vertical-align:-0.0833em;",[568,3940,596],{"className":3941},[641],[568,3943],{"className":3944,"style":2241},[636],[568,3946,1128],{"className":3947},[1306],[568,3949],{"className":3950,"style":2241},[636],[568,3952,3954,3957,4025,4028,4031],{"className":3953},[620],[568,3955],{"className":3956,"style":625},[624],[568,3958,3960,3963,4022],{"className":3959},[641],[568,3961],{"className":3962},[645,646],[568,3964,3966],{"className":3965},[591],[568,3967,3969,4014],{"className":3968},[653,654],[568,3970,3972,4011],{"className":3971},[658],[568,3973,3975,3989,3997],{"className":3974,"style":663},[662],[568,3976,3977,3980],{"style":666},[568,3978],{"className":3979,"style":671},[670],[568,3981,3983],{"className":3982},[675,676,677,678],[568,3984,3986],{"className":3985},[641,678],[568,3987,1683],{"className":3988},[641,678],[568,3990,3991,3994],{"style":720},[568,3992],{"className":3993,"style":671},[670],[568,3995],{"className":3996,"style":728},[727],[568,3998,3999,4002],{"style":731},[568,4000],{"className":4001,"style":671},[670],[568,4003,4005],{"className":4004},[675,676,677,678],[568,4006,4008],{"className":4007},[641,678],[568,4009,596],{"className":4010},[641,678],[568,4012,748],{"className":4013},[747],[568,4015,4017],{"className":4016},[658],[568,4018,4020],{"className":4019,"style":755},[662],[568,4021],{},[568,4023],{"className":4024},[761,646],[568,4026],{"className":4027,"style":2241},[636],[568,4029,1128],{"className":4030},[1306],[568,4032],{"className":4033,"style":2241},[636],[568,4035,4037,4040,4108,4111,4114],{"className":4036},[620],[568,4038],{"className":4039,"style":625},[624],[568,4041,4043,4046,4105],{"className":4042},[641],[568,4044],{"className":4045},[645,646],[568,4047,4049],{"className":4048},[591],[568,4050,4052,4097],{"className":4051},[653,654],[568,4053,4055,4094],{"className":4054},[658],[568,4056,4058,4072,4080],{"className":4057,"style":663},[662],[568,4059,4060,4063],{"style":666},[568,4061],{"className":4062,"style":671},[670],[568,4064,4066],{"className":4065},[675,676,677,678],[568,4067,4069],{"className":4068},[641,678],[568,4070,3901],{"className":4071},[641,678],[568,4073,4074,4077],{"style":720},[568,4075],{"className":4076,"style":671},[670],[568,4078],{"className":4079,"style":728},[727],[568,4081,4082,4085],{"style":731},[568,4083],{"className":4084,"style":671},[670],[568,4086,4088],{"className":4087},[675,676,677,678],[568,4089,4091],{"className":4090},[641,678],[568,4092,596],{"className":4093},[641,678],[568,4095,748],{"className":4096},[747],[568,4098,4100],{"className":4099},[658],[568,4101,4103],{"className":4102,"style":755},[662],[568,4104],{},[568,4106],{"className":4107},[761,646],[568,4109],{"className":4110,"style":2241},[636],[568,4112,1128],{"className":4113},[1306],[568,4115],{"className":4116,"style":2241},[636],[568,4118,4120,4123,4191,4194,4197],{"className":4119},[620],[568,4121],{"className":4122,"style":625},[624],[568,4124,4126,4129,4188],{"className":4125},[641],[568,4127],{"className":4128},[645,646],[568,4130,4132],{"className":4131},[591],[568,4133,4135,4180],{"className":4134},[653,654],[568,4136,4138,4177],{"className":4137},[658],[568,4139,4141,4155,4163],{"className":4140,"style":663},[662],[568,4142,4143,4146],{"style":666},[568,4144],{"className":4145,"style":671},[670],[568,4147,4149],{"className":4148},[675,676,677,678],[568,4150,4152],{"className":4151},[641,678],[568,4153,3910],{"className":4154},[641,678],[568,4156,4157,4160],{"style":720},[568,4158],{"className":4159,"style":671},[670],[568,4161],{"className":4162,"style":728},[727],[568,4164,4165,4168],{"style":731},[568,4166],{"className":4167,"style":671},[670],[568,4169,4171],{"className":4170},[675,676,677,678],[568,4172,4174],{"className":4173},[641,678],[568,4175,596],{"className":4176},[641,678],[568,4178,748],{"className":4179},[747],[568,4181,4183],{"className":4182},[658],[568,4184,4186],{"className":4185,"style":755},[662],[568,4187],{},[568,4189],{"className":4190},[761,646],[568,4192],{"className":4193,"style":912},[636],[568,4195,976],{"className":4196},[916],[568,4198],{"className":4199,"style":912},[636],[568,4201,4203,4206,4274,4277,4280],{"className":4202},[620],[568,4204],{"className":4205,"style":625},[624],[568,4207,4209,4212,4271],{"className":4208},[641],[568,4210],{"className":4211},[645,646],[568,4213,4215],{"className":4214},[591],[568,4216,4218,4263],{"className":4217},[653,654],[568,4219,4221,4260],{"className":4220},[658],[568,4222,4224,4238,4246],{"className":4223,"style":663},[662],[568,4225,4226,4229],{"style":666},[568,4227],{"className":4228,"style":671},[670],[568,4230,4232],{"className":4231},[675,676,677,678],[568,4233,4235],{"className":4234},[641,678],[568,4236,3920],{"className":4237},[641,678],[568,4239,4240,4243],{"style":720},[568,4241],{"className":4242,"style":671},[670],[568,4244],{"className":4245,"style":728},[727],[568,4247,4248,4251],{"style":731},[568,4249],{"className":4250,"style":671},[670],[568,4252,4254],{"className":4253},[675,676,677,678],[568,4255,4257],{"className":4256},[641,678],[568,4258,3917],{"className":4259},[641,678],[568,4261,748],{"className":4262},[747],[568,4264,4266],{"className":4265},[658],[568,4267,4269],{"className":4268,"style":755},[662],[568,4270],{},[568,4272],{"className":4273},[761,646],[568,4275],{"className":4276,"style":912},[636],[568,4278,794],{"className":4279},[916],[568,4281],{"className":4282,"style":912},[636],[568,4284,4286,4289,4292,4298],{"className":4285},[620],[568,4287],{"className":4288,"style":926},[624],[568,4290,596],{"className":4291},[641],[568,4293,4295],{"className":4294},[641],[568,4296,937],{"className":4297},[936],[568,4299,4301],{"className":4300},[641],"4236",". Die Reihe konvergiert langsam: Nach ",[568,4304,4306,4320],{"className":4305},[571],[568,4307,4309],{"className":4308},[575],[577,4310,4311],{"xmlns":579},[581,4312,4313,4318],{},[584,4314,4315],{},[601,4316,4317],{},"N",[608,4319,4317],{"encoding":610},[568,4321,4323],{"className":4322,"ariaHidden":616},[615],[568,4324,4326,4330],{"className":4325},[620],[568,4327],{"className":4328,"style":4329},[624],"height:0.6833em;",[568,4331,4317],{"className":4332,"style":4333},[641,688],"margin-right:0.109em;"," Gliedern fehlt noch etwa ",[568,4336,4338,4356],{"className":4337},[571],[568,4339,4341],{"className":4340},[575],[577,4342,4343],{"xmlns":579},[581,4344,4345,4353],{},[584,4346,4347],{},[591,4348,4349,4351],{},[594,4350,596],{},[601,4352,4317],{},[608,4354,4355],{"encoding":610},"\\frac{1}{N}",[568,4357,4359],{"className":4358,"ariaHidden":616},[615],[568,4360,4362,4365],{"className":4361},[620],[568,4363],{"className":4364,"style":625},[624],[568,4366,4368,4371,4430],{"className":4367},[641],[568,4369],{"className":4370},[645,646],[568,4372,4374],{"className":4373},[591],[568,4375,4377,4422],{"className":4376},[653,654],[568,4378,4380,4419],{"className":4379},[658],[568,4381,4383,4397,4405],{"className":4382,"style":663},[662],[568,4384,4385,4388],{"style":666},[568,4386],{"className":4387,"style":671},[670],[568,4389,4391],{"className":4390},[675,676,677,678],[568,4392,4394],{"className":4393},[641,678],[568,4395,4317],{"className":4396,"style":4333},[641,688,678],[568,4398,4399,4402],{"style":720},[568,4400],{"className":4401,"style":671},[670],[568,4403],{"className":4404,"style":728},[727],[568,4406,4407,4410],{"style":731},[568,4408],{"className":4409,"style":671},[670],[568,4411,4413],{"className":4412},[675,676,677,678],[568,4414,4416],{"className":4415},[641,678],[568,4417,596],{"className":4418},[641,678],[568,4420,748],{"className":4421},[747],[568,4423,4425],{"className":4424},[658],[568,4426,4428],{"className":4427,"style":755},[662],[568,4429],{},[568,4431],{"className":4432},[761,646],". Mit ",[568,4435,4437,4457],{"className":4436},[571],[568,4438,4440],{"className":4439},[575],[577,4441,4442],{"xmlns":579},[581,4443,4444,4454],{},[584,4445,4446,4449,4451],{},[594,4447,4448],{},"10",[1364,4450,1366],{},[594,4452,4453],{},"000",[608,4455,4456],{"encoding":610},"10\\,000",[568,4458,4460],{"className":4459,"ariaHidden":616},[615],[568,4461,4463,4466,4469,4472],{"className":4462},[620],[568,4464],{"className":4465,"style":3381},[624],[568,4467,4448],{"className":4468},[641],[568,4470],{"className":4471,"style":637},[636],[568,4473,4453],{"className":4474},[641]," Gliedern stimmen deshalb erst drei Nachkommastellen (gerundet ",[568,4477,4479,4494],{"className":4478},[571],[568,4480,4482],{"className":4481},[575],[577,4483,4484],{"xmlns":579},[581,4485,4486,4491],{},[584,4487,4488],{},[594,4489,4490],{},"1,645",[608,4492,4493],{"encoding":610},"1{,}645",[568,4495,4497],{"className":4496,"ariaHidden":616},[615],[568,4498,4500,4503,4506,4512],{"className":4499},[620],[568,4501],{"className":4502,"style":926},[624],[568,4504,596],{"className":4505},[641],[568,4507,4509],{"className":4508},[641],[568,4510,937],{"className":4511},[936],[568,4513,4515],{"className":4514},[641],"645","); addiert man die Restkorrektur ",[568,4518,4520,4537],{"className":4519},[571],[568,4521,4523],{"className":4522},[575],[577,4524,4525],{"xmlns":579},[581,4526,4527,4535],{},[584,4528,4529],{},[591,4530,4531,4533],{},[594,4532,596],{},[601,4534,4317],{},[608,4536,4355],{"encoding":610},[568,4538,4540],{"className":4539,"ariaHidden":616},[615],[568,4541,4543,4546],{"className":4542},[620],[568,4544],{"className":4545,"style":625},[624],[568,4547,4549,4552,4611],{"className":4548},[641],[568,4550],{"className":4551},[645,646],[568,4553,4555],{"className":4554},[591],[568,4556,4558,4603],{"className":4557},[653,654],[568,4559,4561,4600],{"className":4560},[658],[568,4562,4564,4578,4586],{"className":4563,"style":663},[662],[568,4565,4566,4569],{"style":666},[568,4567],{"className":4568,"style":671},[670],[568,4570,4572],{"className":4571},[675,676,677,678],[568,4573,4575],{"className":4574},[641,678],[568,4576,4317],{"className":4577,"style":4333},[641,688,678],[568,4579,4580,4583],{"style":720},[568,4581],{"className":4582,"style":671},[670],[568,4584],{"className":4585,"style":728},[727],[568,4587,4588,4591],{"style":731},[568,4589],{"className":4590,"style":671},[670],[568,4592,4594],{"className":4593},[675,676,677,678],[568,4595,4597],{"className":4596},[641,678],[568,4598,596],{"className":4599},[641,678],[568,4601,748],{"className":4602},[747],[568,4604,4606],{"className":4605},[658],[568,4607,4609],{"className":4608,"style":755},[662],[568,4610],{},[568,4612],{"className":4613},[761,646],", sind es sieben.",[559,4616,4618],{"id":4617},"typische-fehler","Typische Fehler",[1931,4620,4621,4866,5520],{},[1934,4622,4623,4758,4759,4865],{},[568,4624,4626,4649],{"className":4625},[571],[568,4627,4629],{"className":4628},[575],[577,4630,4631],{"xmlns":579},[581,4632,4633,4647],{},[584,4634,4635,4637],{},[587,4636,589],{},[591,4638,4639,4641],{},[594,4640,596],{},[598,4642,4643,4645],{},[601,4644,603],{},[594,4646,606],{},[608,4648,611],{"encoding":610},[568,4650,4652],{"className":4651,"ariaHidden":616},[615],[568,4653,4655,4658,4661,4664],{"className":4654},[620],[568,4656],{"className":4657,"style":625},[624],[568,4659,589],{"className":4660,"style":632},[629,630,631],[568,4662],{"className":4663,"style":637},[636],[568,4665,4667,4670,4755],{"className":4666},[641],[568,4668],{"className":4669},[645,646],[568,4671,4673],{"className":4672},[591],[568,4674,4676,4747],{"className":4675},[653,654],[568,4677,4679,4744],{"className":4678},[658],[568,4680,4682,4722,4730],{"className":4681,"style":663},[662],[568,4683,4684,4687],{"style":666},[568,4685],{"className":4686,"style":671},[670],[568,4688,4690],{"className":4689},[675,676,677,678],[568,4691,4693],{"className":4692},[641,678],[568,4694,4696,4699],{"className":4695},[641,678],[568,4697,603],{"className":4698},[641,688,678],[568,4700,4702],{"className":4701},[692],[568,4703,4705],{"className":4704},[653],[568,4706,4708],{"className":4707},[658],[568,4709,4711],{"className":4710,"style":702},[662],[568,4712,4713,4716],{"style":705},[568,4714],{"className":4715,"style":709},[670],[568,4717,4719],{"className":4718},[675,713,714,678],[568,4720,606],{"className":4721},[641,678],[568,4723,4724,4727],{"style":720},[568,4725],{"className":4726,"style":671},[670],[568,4728],{"className":4729,"style":728},[727],[568,4731,4732,4735],{"style":731},[568,4733],{"className":4734,"style":671},[670],[568,4736,4738],{"className":4737},[675,676,677,678],[568,4739,4741],{"className":4740},[641,678],[568,4742,596],{"className":4743},[641,678],[568,4745,748],{"className":4746},[747],[568,4748,4750],{"className":4749},[658],[568,4751,4753],{"className":4752,"style":755},[662],[568,4754],{},[568,4756],{"className":4757},[761,646]," mit der harmonischen Reihe ",[568,4760,4762,4782],{"className":4761},[571],[568,4763,4765],{"className":4764},[575],[577,4766,4767],{"xmlns":579},[581,4768,4769,4779],{},[584,4770,4771,4773],{},[587,4772,589],{},[591,4774,4775,4777],{},[594,4776,596],{},[601,4778,603],{},[608,4780,4781],{"encoding":610},"\\sum \\frac{1}{n}",[568,4783,4785],{"className":4784,"ariaHidden":616},[615],[568,4786,4788,4791,4794,4797],{"className":4787},[620],[568,4789],{"className":4790,"style":625},[624],[568,4792,589],{"className":4793,"style":632},[629,630,631],[568,4795],{"className":4796,"style":637},[636],[568,4798,4800,4803,4862],{"className":4799},[641],[568,4801],{"className":4802},[645,646],[568,4804,4806],{"className":4805},[591],[568,4807,4809,4854],{"className":4808},[653,654],[568,4810,4812,4851],{"className":4811},[658],[568,4813,4815,4829,4837],{"className":4814,"style":663},[662],[568,4816,4817,4820],{"style":666},[568,4818],{"className":4819,"style":671},[670],[568,4821,4823],{"className":4822},[675,676,677,678],[568,4824,4826],{"className":4825},[641,678],[568,4827,603],{"className":4828},[641,688,678],[568,4830,4831,4834],{"style":720},[568,4832],{"className":4833,"style":671},[670],[568,4835],{"className":4836,"style":728},[727],[568,4838,4839,4842],{"style":731},[568,4840],{"className":4841,"style":671},[670],[568,4843,4845],{"className":4844},[675,676,677,678],[568,4846,4848],{"className":4847},[641,678],[568,4849,596],{"className":4850},[641,678],[568,4852,748],{"className":4853},[747],[568,4855,4857],{"className":4856},[658],[568,4858,4860],{"className":4859,"style":755},[662],[568,4861],{},[568,4863],{"className":4864},[761,646]," verwechseln. Die harmonische Reihe divergiert.",[1934,4867,4868,5003,5004,5168,5169,5367,5368,1926],{},[568,4869,4871,4894],{"className":4870},[571],[568,4872,4874],{"className":4873},[575],[577,4875,4876],{"xmlns":579},[581,4877,4878,4892],{},[584,4879,4880,4882],{},[587,4881,589],{},[591,4883,4884,4886],{},[594,4885,596],{},[598,4887,4888,4890],{},[601,4889,603],{},[594,4891,606],{},[608,4893,611],{"encoding":610},[568,4895,4897],{"className":4896,"ariaHidden":616},[615],[568,4898,4900,4903,4906,4909],{"className":4899},[620],[568,4901],{"className":4902,"style":625},[624],[568,4904,589],{"className":4905,"style":632},[629,630,631],[568,4907],{"className":4908,"style":637},[636],[568,4910,4912,4915,5000],{"className":4911},[641],[568,4913],{"className":4914},[645,646],[568,4916,4918],{"className":4917},[591],[568,4919,4921,4992],{"className":4920},[653,654],[568,4922,4924,4989],{"className":4923},[658],[568,4925,4927,4967,4975],{"className":4926,"style":663},[662],[568,4928,4929,4932],{"style":666},[568,4930],{"className":4931,"style":671},[670],[568,4933,4935],{"className":4934},[675,676,677,678],[568,4936,4938],{"className":4937},[641,678],[568,4939,4941,4944],{"className":4940},[641,678],[568,4942,603],{"className":4943},[641,688,678],[568,4945,4947],{"className":4946},[692],[568,4948,4950],{"className":4949},[653],[568,4951,4953],{"className":4952},[658],[568,4954,4956],{"className":4955,"style":702},[662],[568,4957,4958,4961],{"style":705},[568,4959],{"className":4960,"style":709},[670],[568,4962,4964],{"className":4963},[675,713,714,678],[568,4965,606],{"className":4966},[641,678],[568,4968,4969,4972],{"style":720},[568,4970],{"className":4971,"style":671},[670],[568,4973],{"className":4974,"style":728},[727],[568,4976,4977,4980],{"style":731},[568,4978],{"className":4979,"style":671},[670],[568,4981,4983],{"className":4982},[675,676,677,678],[568,4984,4986],{"className":4985},[641,678],[568,4987,596],{"className":4988},[641,678],[568,4990,748],{"className":4991},[747],[568,4993,4995],{"className":4994},[658],[568,4996,4998],{"className":4997,"style":755},[662],[568,4999],{},[568,5001],{"className":5002},[761,646]," und ",[568,5005,5007,5037],{"className":5006},[571],[568,5008,5010],{"className":5009},[575],[577,5011,5012],{"xmlns":579},[581,5013,5014,5034],{},[584,5015,5016],{},[598,5017,5018,5032],{},[584,5019,5020,5022,5024,5030],{},[587,5021,967],{"fence":616},[587,5023,589],{},[591,5025,5026,5028],{},[594,5027,596],{},[601,5029,603],{},[587,5031,973],{"fence":616},[594,5033,606],{},[608,5035,5036],{"encoding":610},"\\left(\\sum \\frac{1}{n}\\right)^2",[568,5038,5040],{"className":5039,"ariaHidden":616},[615],[568,5041,5043,5047],{"className":5042},[620],[568,5044],{"className":5045,"style":5046},[624],"height:1.404em;vertical-align:-0.35em;",[568,5048,5051,5143],{"className":5049},[5050],"minner",[568,5052,5054,5063,5066,5069,5137],{"className":5053},[5050],[568,5055,5059],{"className":5056,"style":5058},[645,5057],"delimcenter","top:0em;",[568,5060,967],{"className":5061},[5062,714],"delimsizing",[568,5064,589],{"className":5065,"style":632},[629,630,631],[568,5067],{"className":5068,"style":637},[636],[568,5070,5072,5075,5134],{"className":5071},[641],[568,5073],{"className":5074},[645,646],[568,5076,5078],{"className":5077},[591],[568,5079,5081,5126],{"className":5080},[653,654],[568,5082,5084,5123],{"className":5083},[658],[568,5085,5087,5101,5109],{"className":5086,"style":663},[662],[568,5088,5089,5092],{"style":666},[568,5090],{"className":5091,"style":671},[670],[568,5093,5095],{"className":5094},[675,676,677,678],[568,5096,5098],{"className":5097},[641,678],[568,5099,603],{"className":5100},[641,688,678],[568,5102,5103,5106],{"style":720},[568,5104],{"className":5105,"style":671},[670],[568,5107],{"className":5108,"style":728},[727],[568,5110,5111,5114],{"style":731},[568,5112],{"className":5113,"style":671},[670],[568,5115,5117],{"className":5116},[675,676,677,678],[568,5118,5120],{"className":5119},[641,678],[568,5121,596],{"className":5122},[641,678],[568,5124,748],{"className":5125},[747],[568,5127,5129],{"className":5128},[658],[568,5130,5132],{"className":5131,"style":755},[662],[568,5133],{},[568,5135],{"className":5136},[761,646],[568,5138,5140],{"className":5139,"style":5058},[761,5057],[568,5141,973],{"className":5142},[5062,714],[568,5144,5146],{"className":5145},[692],[568,5147,5149],{"className":5148},[653],[568,5150,5152],{"className":5151},[658],[568,5153,5156],{"className":5154,"style":5155},[662],"height:1.054em;",[568,5157,5159,5162],{"style":5158},"top:-3.3029em;margin-right:0.05em;",[568,5160],{"className":5161,"style":1171},[670],[568,5163,5165],{"className":5164},[675,676,677,678],[568,5166,606],{"className":5167},[641,678]," gleichsetzen. Schon für zwei Glieder ist ",[568,5170,5172,5209],{"className":5171},[571],[568,5173,5175],{"className":5174},[575],[577,5176,5177],{"xmlns":579},[581,5178,5179,5206],{},[584,5180,5181,5201,5203],{},[598,5182,5183,5199],{},[584,5184,5185,5187,5189,5191,5197],{},[587,5186,967],{"fence":616},[594,5188,596],{},[587,5190,1128],{},[591,5192,5193,5195],{},[594,5194,596],{},[594,5196,606],{},[587,5198,973],{"fence":616},[594,5200,606],{},[587,5202,976],{},[594,5204,5205],{},"2,25",[608,5207,5208],{"encoding":610},"\\left(1 + \\frac{1}{2}\\right)^2 = 2{,}25",[568,5210,5212,5348],{"className":5211,"ariaHidden":616},[615],[568,5213,5215,5218,5339,5342,5345],{"className":5214},[620],[568,5216],{"className":5217,"style":5046},[624],[568,5219,5221,5316],{"className":5220},[5050],[568,5222,5224,5230,5233,5236,5239,5242,5310],{"className":5223},[5050],[568,5225,5227],{"className":5226,"style":5058},[645,5057],[568,5228,967],{"className":5229},[5062,714],[568,5231,596],{"className":5232},[641],[568,5234],{"className":5235,"style":2241},[636],[568,5237,1128],{"className":5238},[1306],[568,5240],{"className":5241,"style":2241},[636],[568,5243,5245,5248,5307],{"className":5244},[641],[568,5246],{"className":5247},[645,646],[568,5249,5251],{"className":5250},[591],[568,5252,5254,5299],{"className":5253},[653,654],[568,5255,5257,5296],{"className":5256},[658],[568,5258,5260,5274,5282],{"className":5259,"style":663},[662],[568,5261,5262,5265],{"style":666},[568,5263],{"className":5264,"style":671},[670],[568,5266,5268],{"className":5267},[675,676,677,678],[568,5269,5271],{"className":5270},[641,678],[568,5272,606],{"className":5273},[641,678],[568,5275,5276,5279],{"style":720},[568,5277],{"className":5278,"style":671},[670],[568,5280],{"className":5281,"style":728},[727],[568,5283,5284,5287],{"style":731},[568,5285],{"className":5286,"style":671},[670],[568,5288,5290],{"className":5289},[675,676,677,678],[568,5291,5293],{"className":5292},[641,678],[568,5294,596],{"className":5295},[641,678],[568,5297,748],{"className":5298},[747],[568,5300,5302],{"className":5301},[658],[568,5303,5305],{"className":5304,"style":755},[662],[568,5306],{},[568,5308],{"className":5309},[761,646],[568,5311,5313],{"className":5312,"style":5058},[761,5057],[568,5314,973],{"className":5315},[5062,714],[568,5317,5319],{"className":5318},[692],[568,5320,5322],{"className":5321},[653],[568,5323,5325],{"className":5324},[658],[568,5326,5328],{"className":5327,"style":5155},[662],[568,5329,5330,5333],{"style":5158},[568,5331],{"className":5332,"style":1171},[670],[568,5334,5336],{"className":5335},[675,676,677,678],[568,5337,606],{"className":5338},[641,678],[568,5340],{"className":5341,"style":912},[636],[568,5343,976],{"className":5344},[916],[568,5346],{"className":5347,"style":912},[636],[568,5349,5351,5354,5357,5363],{"className":5350},[620],[568,5352],{"className":5353,"style":926},[624],[568,5355,606],{"className":5356},[641],[568,5358,5360],{"className":5359},[641],[568,5361,937],{"className":5362},[936],[568,5364,5366],{"className":5365},[641],"25",", aber ",[568,5369,5371,5398],{"className":5370},[571],[568,5372,5374],{"className":5373},[575],[577,5375,5376],{"xmlns":579},[581,5377,5378,5395],{},[584,5379,5380,5382,5384,5390,5392],{},[594,5381,596],{},[587,5383,1128],{},[591,5385,5386,5388],{},[594,5387,596],{},[594,5389,1683],{},[587,5391,976],{},[594,5393,5394],{},"1,25",[608,5396,5397],{"encoding":610},"1 + \\frac{1}{4} = 1{,}25",[568,5399,5401,5419,5502],{"className":5400,"ariaHidden":616},[615],[568,5402,5404,5407,5410,5413,5416],{"className":5403},[620],[568,5405],{"className":5406,"style":3938},[624],[568,5408,596],{"className":5409},[641],[568,5411],{"className":5412,"style":2241},[636],[568,5414,1128],{"className":5415},[1306],[568,5417],{"className":5418,"style":2241},[636],[568,5420,5422,5425,5493,5496,5499],{"className":5421},[620],[568,5423],{"className":5424,"style":625},[624],[568,5426,5428,5431,5490],{"className":5427},[641],[568,5429],{"className":5430},[645,646],[568,5432,5434],{"className":5433},[591],[568,5435,5437,5482],{"className":5436},[653,654],[568,5438,5440,5479],{"className":5439},[658],[568,5441,5443,5457,5465],{"className":5442,"style":663},[662],[568,5444,5445,5448],{"style":666},[568,5446],{"className":5447,"style":671},[670],[568,5449,5451],{"className":5450},[675,676,677,678],[568,5452,5454],{"className":5453},[641,678],[568,5455,1683],{"className":5456},[641,678],[568,5458,5459,5462],{"style":720},[568,5460],{"className":5461,"style":671},[670],[568,5463],{"className":5464,"style":728},[727],[568,5466,5467,5470],{"style":731},[568,5468],{"className":5469,"style":671},[670],[568,5471,5473],{"className":5472},[675,676,677,678],[568,5474,5476],{"className":5475},[641,678],[568,5477,596],{"className":5478},[641,678],[568,5480,748],{"className":5481},[747],[568,5483,5485],{"className":5484},[658],[568,5486,5488],{"className":5487,"style":755},[662],[568,5489],{},[568,5491],{"className":5492},[761,646],[568,5494],{"className":5495,"style":912},[636],[568,5497,976],{"className":5498},[916],[568,5500],{"className":5501,"style":912},[636],[568,5503,5505,5508,5511,5517],{"className":5504},[620],[568,5506],{"className":5507,"style":926},[624],[568,5509,596],{"className":5510},[641],[568,5512,5514],{"className":5513},[641],[568,5515,937],{"className":5516},[936],[568,5518,5366],{"className":5519},[641],[1934,5521,5522,5523,5574,5575,1926],{},"Den Summationsbeginn übersehen. Startet die Summe bei ",[568,5524,5526,5544],{"className":5525},[571],[568,5527,5529],{"className":5528},[575],[577,5530,5531],{"xmlns":579},[581,5532,5533,5541],{},[584,5534,5535,5537,5539],{},[601,5536,603],{},[587,5538,976],{},[594,5540,606],{},[608,5542,5543],{"encoding":610},"n = 2",[568,5545,5547,5565],{"className":5546,"ariaHidden":616},[615],[568,5548,5550,5553,5556,5559,5562],{"className":5549},[620],[568,5551],{"className":5552,"style":1020},[624],[568,5554,603],{"className":5555},[641,688],[568,5557],{"className":5558,"style":912},[636],[568,5560,976],{"className":5561},[916],[568,5563],{"className":5564,"style":912},[636],[568,5566,5568,5571],{"className":5567},[620],[568,5569],{"className":5570,"style":3381},[624],[568,5572,606],{"className":5573},[641],", ist der Wert 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+ \\dots = \\frac{\\pi^2}{6}","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmunderover>\u003Cmo>∑\u003C\u002Fmo>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cmi mathvariant=\"normal\">∞\u003C\u002Fmi>\u003C\u002Fmunderover>\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmsup>\u003Cmi>n\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003C\u002Fmfrac>\u003Cmo>=\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo>+\u003C\u002Fmo>\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmn>4\u003C\u002Fmn>\u003C\u002Fmfrac>\u003Cmo>+\u003C\u002Fmo>\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmn>9\u003C\u002Fmn>\u003C\u002Fmfrac>\u003Cmo>+\u003C\u002Fmo>\u003Cmfrac>\u003Cmn>1\u003C\u002Fmn>\u003Cmn>16\u003C\u002Fmn>\u003C\u002Fmfrac>\u003Cmo>+\u003C\u002Fmo>\u003Cmo>⋯\u003C\u002Fmo>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmsup>\u003Cmi>π\u003C\u002Fmi>\u003Cmn>2\u003C\u002Fmn>\u003C\u002Fmsup>\u003Cmn>6\u003C\u002Fmn>\u003C\u002Fmfrac>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\sum_{n=1}^{\\infty} \\frac{1}{n^2} = 1 + \\frac{1}{4} + \\frac{1}{9} + \\frac{1}{16} + \\dots = 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style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">π\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8141em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">2\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","university",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fsequences-series\u002Fbasler-problem",[],[5780,5781,5782,5783],"p-series","fourier-coefficients","integral-test","sum-of-squares",{"title":548,"description":5726},"de\u002Fformulas\u002Fmath\u002Fsequences-series\u002Fbasler-problem","Die Summe der Kehrwerte aller Quadratzahlen ist π²\u002F6, etwa 1,6449 (Basler Problem, gelöst von Euler).",[5788,5789,5790,5791,5792],"basler problem","reihe","zeta-funktion","pi","euler",[5794,5797],{"symbol":603,"meaning":5795,"symbolHtml":5796},"Index der Reihenglieder, natürliche Zahl ab 1","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n\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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":5798,"meaning":5799,"symbolHtml":5800},"\\pi","Kreiszahl, etwa 3,14159","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>π\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\pi\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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0359em;\">π\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","8qx2eRmNJ_HwHGlSyR78komAWDMH4-c3QueZtSpdqKU",[5803,5806,5809,5812],{"stem":5804,"title":5805,"category":412},"de\u002Fformulas\u002Fmath\u002Fsequences-series\u002Ffourierkoeffizienten","Fourierkoeffizienten",{"stem":5807,"title":5808,"category":412},"de\u002Fformulas\u002Fmath\u002Fsequences-series\u002Fintegralkriterium","Integralkriterium",{"stem":5810,"title":5811,"category":412},"de\u002Fformulas\u002Fmath\u002Fsequences-series\u002Fsumme-der-quadratzahlen","Summe der Quadratzahlen",{"stem":5813,"title":5814,"category":412},"de\u002Fformulas\u002Fmath\u002Fsequences-series\u002Fverallgemeinerte-harmonische-reihe","Konvergenz der Reihe 1\u002Fnᵖ",1793824264905]