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Das ist die Zeit, nach der nur noch die Hälfte der Menge vorhanden ist.",[564,685,686,687,846,847,951,952,1051,1052,1151,1152,1182],{},"Der Exponent ",[576,688,690,714],{"className":689},[579],[576,691,693],{"className":692},[583],[585,694,695],{"xmlns":587},[589,696,697,711],{},[592,698,699],{},[700,701,702,705],"mfrac",{},[598,703,704],{},"t",[595,706,707,709],{},[598,708,600],{},[598,710,603],{},[605,712,713],{"encoding":607},"\\frac{t}{T_H}",[576,715,717],{"className":716,"ariaHidden":613},[612],[576,718,720,724],{"className":719},[617],[576,721],{"className":722,"style":723},[621],"height:1.2699em;vertical-align:-0.4453em;",[576,725,727,732,842],{"className":726},[626],[576,728],{"className":729},[730,731],"mopen","nulldelimiter",[576,733,735],{"className":734},[700],[576,736,738,833],{"className":737},[639,640],[576,739,741,830],{"className":740},[644],[576,742,745,804,815],{"className":743,"style":744},[648],"height:0.8246em;",[576,746,748,752],{"style":747},"top:-2.655em;",[576,749],{"className":750,"style":751},[656],"height:3em;",[576,753,755],{"className":754},[661,662,663,664],[576,756,758],{"className":757},[626,664],[576,759,761,764],{"className":760},[626,664],[576,762,600],{"className":763,"style":631},[626,630,664],[576,765,767],{"className":766},[635],[576,768,770,795],{"className":769},[639,640],[576,771,773,792],{"className":772},[644],[576,774,777],{"className":775,"style":776},[648],"height:0.3448em;",[576,778,780,784],{"style":779},"top:-2.3567em;margin-left:-0.1389em;margin-right:0.0714em;",[576,781],{"className":782,"style":783},[656],"height:2.5em;",[576,785,789],{"className":786},[661,787,788,664],"reset-size3","size1",[576,790,603],{"className":791,"style":668},[626,630,664],[576,793,673],{"className":794},[672],[576,796,798],{"className":797},[644],[576,799,802],{"className":800,"style":801},[648],"height:0.1433em;",[576,803],{},[576,805,807,810],{"style":806},"top:-3.23em;",[576,808],{"className":809,"style":751},[656],[576,811],{"className":812,"style":814},[813],"frac-line","border-bottom-width:0.04em;",[576,816,818,821],{"style":817},"top:-3.394em;",[576,819],{"className":820,"style":751},[656],[576,822,824],{"className":823},[661,662,663,664],[576,825,827],{"className":826},[626,664],[576,828,704],{"className":829},[626,630,664],[576,831,673],{"className":832},[672],[576,834,836],{"className":835},[644],[576,837,840],{"className":838,"style":839},[648],"height:0.4453em;",[576,841],{},[576,843],{"className":844},[845,731],"mclose"," zählt, wie viele Halbwertszeiten vergangen sind. Nach einer Halbwertszeit ist noch ",[576,848,850,871],{"className":849},[579],[576,851,853],{"className":852},[583],[585,854,855],{"xmlns":587},[589,856,857,868],{},[592,858,859],{},[700,860,861,865],{},[862,863,864],"mn",{},"1",[862,866,867],{},"2",[605,869,870],{"encoding":607},"\\frac{1}{2}",[576,872,874],{"className":873,"ariaHidden":613},[612],[576,875,877,881],{"className":876},[617],[576,878],{"className":879,"style":880},[621],"height:1.1901em;vertical-align:-0.345em;",[576,882,884,887,948],{"className":883},[626],[576,885],{"className":886},[730,731],[576,888,890],{"className":889},[700],[576,891,893,939],{"className":892},[639,640],[576,894,896,936],{"className":895},[644],[576,897,900,914,922],{"className":898,"style":899},[648],"height:0.8451em;",[576,901,902,905],{"style":747},[576,903],{"className":904,"style":751},[656],[576,906,908],{"className":907},[661,662,663,664],[576,909,911],{"className":910},[626,664],[576,912,867],{"className":913},[626,664],[576,915,916,919],{"style":806},[576,917],{"className":918,"style":751},[656],[576,920],{"className":921,"style":814},[813],[576,923,924,927],{"style":817},[576,925],{"className":926,"style":751},[656],[576,928,930],{"className":929},[661,662,663,664],[576,931,933],{"className":932},[626,664],[576,934,864],{"className":935},[626,664],[576,937,673],{"className":938},[672],[576,940,942],{"className":941},[644],[576,943,946],{"className":944,"style":945},[648],"height:0.345em;",[576,947],{},[576,949],{"className":950},[845,731]," da, nach zwei ",[576,953,955,974],{"className":954},[579],[576,956,958],{"className":957},[583],[585,959,960],{"xmlns":587},[589,961,962,971],{},[592,963,964],{},[700,965,966,968],{},[862,967,864],{},[862,969,970],{},"4",[605,972,973],{"encoding":607},"\\frac{1}{4}",[576,975,977],{"className":976,"ariaHidden":613},[612],[576,978,980,983],{"className":979},[617],[576,981],{"className":982,"style":880},[621],[576,984,986,989,1048],{"className":985},[626],[576,987],{"className":988},[730,731],[576,990,992],{"className":991},[700],[576,993,995,1040],{"className":994},[639,640],[576,996,998,1037],{"className":997},[644],[576,999,1001,1015,1023],{"className":1000,"style":899},[648],[576,1002,1003,1006],{"style":747},[576,1004],{"className":1005,"style":751},[656],[576,1007,1009],{"className":1008},[661,662,663,664],[576,1010,1012],{"className":1011},[626,664],[576,1013,970],{"className":1014},[626,664],[576,1016,1017,1020],{"style":806},[576,1018],{"className":1019,"style":751},[656],[576,1021],{"className":1022,"style":814},[813],[576,1024,1025,1028],{"style":817},[576,1026],{"className":1027,"style":751},[656],[576,1029,1031],{"className":1030},[661,662,663,664],[576,1032,1034],{"className":1033},[626,664],[576,1035,864],{"className":1036},[626,664],[576,1038,673],{"className":1039},[672],[576,1041,1043],{"className":1042},[644],[576,1044,1046],{"className":1045,"style":945},[648],[576,1047],{},[576,1049],{"className":1050},[845,731],", nach drei ",[576,1053,1055,1074],{"className":1054},[579],[576,1056,1058],{"className":1057},[583],[585,1059,1060],{"xmlns":587},[589,1061,1062,1071],{},[592,1063,1064],{},[700,1065,1066,1068],{},[862,1067,864],{},[862,1069,1070],{},"8",[605,1072,1073],{"encoding":607},"\\frac{1}{8}",[576,1075,1077],{"className":1076,"ariaHidden":613},[612],[576,1078,1080,1083],{"className":1079},[617],[576,1081],{"className":1082,"style":880},[621],[576,1084,1086,1089,1148],{"className":1085},[626],[576,1087],{"className":1088},[730,731],[576,1090,1092],{"className":1091},[700],[576,1093,1095,1140],{"className":1094},[639,640],[576,1096,1098,1137],{"className":1097},[644],[576,1099,1101,1115,1123],{"className":1100,"style":899},[648],[576,1102,1103,1106],{"style":747},[576,1104],{"className":1105,"style":751},[656],[576,1107,1109],{"className":1108},[661,662,663,664],[576,1110,1112],{"className":1111},[626,664],[576,1113,1070],{"className":1114},[626,664],[576,1116,1117,1120],{"style":806},[576,1118],{"className":1119,"style":751},[656],[576,1121],{"className":1122,"style":814},[813],[576,1124,1125,1128],{"style":817},[576,1126],{"className":1127,"style":751},[656],[576,1129,1131],{"className":1130},[661,662,663,664],[576,1132,1134],{"className":1133},[626,664],[576,1135,864],{"className":1136},[626,664],[576,1138,673],{"className":1139},[672],[576,1141,1143],{"className":1142},[644],[576,1144,1146],{"className":1145,"style":945},[648],[576,1147],{},[576,1149],{"className":1150},[845,731],". Die Menge wird kleiner, erreicht aber nie genau ",[576,1153,1155,1169],{"className":1154},[579],[576,1156,1158],{"className":1157},[583],[585,1159,1160],{"xmlns":587},[589,1161,1162,1167],{},[592,1163,1164],{},[862,1165,1166],{},"0",[605,1168,1166],{"encoding":607},[576,1170,1172],{"className":1171,"ariaHidden":613},[612],[576,1173,1175,1179],{"className":1174},[617],[576,1176],{"className":1177,"style":1178},[621],"height:0.6444em;",[576,1180,1166],{"className":1181},[626],".",[564,1184,1185,1214,1215,1284],{},[576,1186,1188,1201],{"className":1187},[579],[576,1189,1191],{"className":1190},[583],[585,1192,1193],{"xmlns":587},[589,1194,1195,1199],{},[592,1196,1197],{},[598,1198,704],{},[605,1200,704],{"encoding":607},[576,1202,1204],{"className":1203,"ariaHidden":613},[612],[576,1205,1207,1211],{"className":1206},[617],[576,1208],{"className":1209,"style":1210},[621],"height:0.6151em;",[576,1212,704],{"className":1213},[626,630]," und ",[576,1216,1218,1235],{"className":1217},[579],[576,1219,1221],{"className":1220},[583],[585,1222,1223],{"xmlns":587},[589,1224,1225,1233],{},[592,1226,1227],{},[595,1228,1229,1231],{},[598,1230,600],{},[598,1232,603],{},[605,1234,608],{"encoding":607},[576,1236,1238],{"className":1237,"ariaHidden":613},[612],[576,1239,1241,1244],{"className":1240},[617],[576,1242],{"className":1243,"style":622},[621],[576,1245,1247,1250],{"className":1246},[626],[576,1248,600],{"className":1249,"style":631},[626,630],[576,1251,1253],{"className":1252},[635],[576,1254,1256,1276],{"className":1255},[639,640],[576,1257,1259,1273],{"className":1258},[644],[576,1260,1262],{"className":1261,"style":649},[648],[576,1263,1264,1267],{"style":652},[576,1265],{"className":1266,"style":657},[656],[576,1268,1270],{"className":1269},[661,662,663,664],[576,1271,603],{"className":1272,"style":668},[626,630,664],[576,1274,673],{"className":1275},[672],[576,1277,1279],{"className":1278},[644],[576,1280,1282],{"className":1281,"style":680},[648],[576,1283],{}," müssen in derselben Einheit stehen, also beide in Tagen oder beide in Stunden.",[559,1286,1288],{"id":1287},"beispiele","Beispiele",[564,1290,1291,1292,1320,1321,1371,1372,1401],{},"Ein radioaktives Präparat hat eine Halbwertszeit von ",[576,1293,1295,1308],{"className":1294},[579],[576,1296,1298],{"className":1297},[583],[585,1299,1300],{"xmlns":587},[589,1301,1302,1306],{},[592,1303,1304],{},[862,1305,1070],{},[605,1307,1070],{"encoding":607},[576,1309,1311],{"className":1310,"ariaHidden":613},[612],[576,1312,1314,1317],{"className":1313},[617],[576,1315],{"className":1316,"style":1178},[621],[576,1318,1070],{"className":1319},[626]," Tagen. Von ",[576,1322,1324,1346],{"className":1323},[579],[576,1325,1327],{"className":1326},[583],[585,1328,1329],{"xmlns":587},[589,1330,1331,1343],{},[592,1332,1333,1336,1340],{},[862,1334,1335],{},"80",[1337,1338,1339],"mtext",{}," ",[1337,1341,1342],{},"mg",[605,1344,1345],{"encoding":607},"80\\,\\text{mg}",[576,1347,1349],{"className":1348,"ariaHidden":613},[612],[576,1350,1352,1356,1359,1364],{"className":1351},[617],[576,1353],{"className":1354,"style":1355},[621],"height:0.8389em;vertical-align:-0.1944em;",[576,1357,1335],{"className":1358},[626],[576,1360],{"className":1361,"style":1363},[1362],"mspace","margin-right:0.1667em;",[576,1365,1368],{"className":1366},[626,1367],"text",[576,1369,1342],{"className":1370},[626]," sind nach ",[576,1373,1375,1389],{"className":1374},[579],[576,1376,1378],{"className":1377},[583],[585,1379,1380],{"xmlns":587},[589,1381,1382,1387],{},[592,1383,1384],{},[862,1385,1386],{},"24",[605,1388,1386],{"encoding":607},[576,1390,1392],{"className":1391,"ariaHidden":613},[612],[576,1393,1395,1398],{"className":1394},[617],[576,1396],{"className":1397,"style":1178},[621],[576,1399,1386],{"className":1400},[626]," Tagen, also nach drei Halbwertszeiten, noch",[576,1403,1406],{"className":1404},[1405],"katex-display",[576,1407,1409,1485],{"className":1408},[579],[576,1410,1412],{"className":1411},[583],[585,1413,1415],{"xmlns":587,"display":1414},"block",[589,1416,1417,1482],{},[592,1418,1419,1422,1427,1429,1432,1435,1437,1440,1461,1463,1465,1467,1473,1475,1478,1480],{},[598,1420,1421],{},"N",[1423,1424,1426],"mo",{"stretchy":1425},"false","(",[862,1428,1386],{},[1423,1430,1431],{"stretchy":1425},")",[1423,1433,1434],{},"=",[862,1436,1335],{},[1423,1438,1439],{},"⋅",[1441,1442,1443,1455],"msup",{},[592,1444,1445,1447,1453],{},[1423,1446,1426],{"fence":613},[700,1448,1449,1451],{},[862,1450,864],{},[862,1452,867],{},[1423,1454,1431],{"fence":613},[700,1456,1457,1459],{},[862,1458,1386],{},[862,1460,1070],{},[1423,1462,1434],{},[862,1464,1335],{},[1423,1466,1439],{},[700,1468,1469,1471],{},[862,1470,864],{},[862,1472,1070],{},[1423,1474,1434],{},[862,1476,1477],{},"10",[1337,1479,1339],{},[1337,1481,1342],{},[605,1483,1484],{"encoding":607},"N(24) = 80 \\cdot \\left(\\frac{1}{2}\\right)^{\\frac{24}{8}} = 80 \\cdot \\frac{1}{8} = 10\\,\\text{mg}",[576,1486,1488,1519,1539,1743,1761,1839],{"className":1487,"ariaHidden":613},[612],[576,1489,1491,1495,1499,1502,1505,1508,1512,1516],{"className":1490},[617],[576,1492],{"className":1493,"style":1494},[621],"height:1em;vertical-align:-0.25em;",[576,1496,1421],{"className":1497,"style":1498},[626,630],"margin-right:0.109em;",[576,1500,1426],{"className":1501},[730],[576,1503,1386],{"className":1504},[626],[576,1506,1431],{"className":1507},[845],[576,1509],{"className":1510,"style":1511},[1362],"margin-right:0.2778em;",[576,1513,1434],{"className":1514},[1515],"mrel",[576,1517],{"className":1518,"style":1511},[1362],[576,1520,1522,1525,1528,1532,1536],{"className":1521},[617],[576,1523],{"className":1524,"style":1178},[621],[576,1526,1335],{"className":1527},[626],[576,1529],{"className":1530,"style":1531},[1362],"margin-right:0.2222em;",[576,1533,1439],{"className":1534},[1535],"mbin",[576,1537],{"className":1538,"style":1531},[1362],[576,1540,1542,1546,1734,1737,1740],{"className":1541},[617],[576,1543],{"className":1544,"style":1545},[621],"height:2.744em;vertical-align:-0.95em;",[576,1547,1550,1634],{"className":1548},[1549],"minner",[576,1551,1553,1562,1628],{"className":1552},[1549],[576,1554,1558],{"className":1555,"style":1557},[730,1556],"delimcenter","top:0em;",[576,1559,1426],{"className":1560},[1561,663],"delimsizing",[576,1563,1565,1568,1625],{"className":1564},[626],[576,1566],{"className":1567},[730,731],[576,1569,1571],{"className":1570},[700],[576,1572,1574,1616],{"className":1573},[639,640],[576,1575,1577,1613],{"className":1576},[644],[576,1578,1581,1593,1601],{"className":1579,"style":1580},[648],"height:1.3214em;",[576,1582,1584,1587],{"style":1583},"top:-2.314em;",[576,1585],{"className":1586,"style":751},[656],[576,1588,1590],{"className":1589},[626],[576,1591,867],{"className":1592},[626],[576,1594,1595,1598],{"style":806},[576,1596],{"className":1597,"style":751},[656],[576,1599],{"className":1600,"style":814},[813],[576,1602,1604,1607],{"style":1603},"top:-3.677em;",[576,1605],{"className":1606,"style":751},[656],[576,1608,1610],{"className":1609},[626],[576,1611,864],{"className":1612},[626],[576,1614,673],{"className":1615},[672],[576,1617,1619],{"className":1618},[644],[576,1620,1623],{"className":1621,"style":1622},[648],"height:0.686em;",[576,1624],{},[576,1626],{"className":1627},[845,731],[576,1629,1631],{"className":1630,"style":1557},[845,1556],[576,1632,1431],{"className":1633},[1561,663],[576,1635,1637],{"className":1636},[635],[576,1638,1640],{"className":1639},[639],[576,1641,1643],{"className":1642},[644],[576,1644,1647],{"className":1645,"style":1646},[648],"height:1.7939em;",[576,1648,1650,1653],{"style":1649},"top:-4.2029em;margin-right:0.05em;",[576,1651],{"className":1652,"style":751},[656],[576,1654,1656],{"className":1655},[661,662,663,664],[576,1657,1659],{"className":1658},[626,664],[576,1660,1662,1666,1731],{"className":1661},[626,664],[576,1663],{"className":1664},[730,731,661,787,1665],"size6",[576,1667,1669],{"className":1668},[700],[576,1670,1672,1722],{"className":1671},[639,640],[576,1673,1675,1719],{"className":1674},[644],[576,1676,1679,1694,1704],{"className":1677,"style":1678},[648],"height:0.8443em;",[576,1680,1682,1685],{"style":1681},"top:-2.656em;",[576,1683],{"className":1684,"style":751},[656],[576,1686,1688],{"className":1687},[661,787,788,664],[576,1689,1691],{"className":1690},[626,664],[576,1692,1070],{"className":1693},[626,664],[576,1695,1697,1700],{"style":1696},"top:-3.2255em;",[576,1698],{"className":1699,"style":751},[656],[576,1701],{"className":1702,"style":1703},[813,664],"border-bottom-width:0.049em;",[576,1705,1707,1710],{"style":1706},"top:-3.384em;",[576,1708],{"className":1709,"style":751},[656],[576,1711,1713],{"className":1712},[661,787,788,664],[576,1714,1716],{"className":1715},[626,664],[576,1717,1386],{"className":1718},[626,664],[576,1720,673],{"className":1721},[672],[576,1723,1725],{"className":1724},[644],[576,1726,1729],{"className":1727,"style":1728},[648],"height:0.344em;",[576,1730],{},[576,1732],{"className":1733},[845,731,661,787,1665],[576,1735],{"className":1736,"style":1511},[1362],[576,1738,1434],{"className":1739},[1515],[576,1741],{"className":1742,"style":1511},[1362],[576,1744,1746,1749,1752,1755,1758],{"className":1745},[617],[576,1747],{"className":1748,"style":1178},[621],[576,1750,1335],{"className":1751},[626],[576,1753],{"className":1754,"style":1531},[1362],[576,1756,1439],{"className":1757},[1535],[576,1759],{"className":1760,"style":1531},[1362],[576,1762,1764,1768,1830,1833,1836],{"className":1763},[617],[576,1765],{"className":1766,"style":1767},[621],"height:2.0074em;vertical-align:-0.686em;",[576,1769,1771,1774,1827],{"className":1770},[626],[576,1772],{"className":1773},[730,731],[576,1775,1777],{"className":1776},[700],[576,1778,1780,1819],{"className":1779},[639,640],[576,1781,1783,1816],{"className":1782},[644],[576,1784,1786,1797,1805],{"className":1785,"style":1580},[648],[576,1787,1788,1791],{"style":1583},[576,1789],{"className":1790,"style":751},[656],[576,1792,1794],{"className":1793},[626],[576,1795,1070],{"className":1796},[626],[576,1798,1799,1802],{"style":806},[576,1800],{"className":1801,"style":751},[656],[576,1803],{"className":1804,"style":814},[813],[576,1806,1807,1810],{"style":1603},[576,1808],{"className":1809,"style":751},[656],[576,1811,1813],{"className":1812},[626],[576,1814,864],{"className":1815},[626],[576,1817,673],{"className":1818},[672],[576,1820,1822],{"className":1821},[644],[576,1823,1825],{"className":1824,"style":1622},[648],[576,1826],{},[576,1828],{"className":1829},[845,731],[576,1831],{"className":1832,"style":1511},[1362],[576,1834,1434],{"className":1835},[1515],[576,1837],{"className":1838,"style":1511},[1362],[576,1840,1842,1845,1848,1851],{"className":1841},[617],[576,1843],{"className":1844,"style":1355},[621],[576,1846,1477],{"className":1847},[626],[576,1849],{"className":1850,"style":1363},[1362],[576,1852,1854],{"className":1853},[626,1367],[576,1855,1342],{"className":1856},[626],[564,1858,1859],{},"übrig.",[564,1861,1862,1863,1892,1893,1371,1936,1965],{},"Ein Medikament hat im Körper eine Halbwertszeit von ",[576,1864,1866,1880],{"className":1865},[579],[576,1867,1869],{"className":1868},[583],[585,1870,1871],{"xmlns":587},[589,1872,1873,1878],{},[592,1874,1875],{},[862,1876,1877],{},"6",[605,1879,1877],{"encoding":607},[576,1881,1883],{"className":1882,"ariaHidden":613},[612],[576,1884,1886,1889],{"className":1885},[617],[576,1887],{"className":1888,"style":1178},[621],[576,1890,1877],{"className":1891},[626]," Stunden. Von ",[576,1894,1896,1915],{"className":1895},[579],[576,1897,1899],{"className":1898},[583],[585,1900,1901],{"xmlns":587},[589,1902,1903,1912],{},[592,1904,1905,1908,1910],{},[862,1906,1907],{},"400",[1337,1909,1339],{},[1337,1911,1342],{},[605,1913,1914],{"encoding":607},"400\\,\\text{mg}",[576,1916,1918],{"className":1917,"ariaHidden":613},[612],[576,1919,1921,1924,1927,1930],{"className":1920},[617],[576,1922],{"className":1923,"style":1355},[621],[576,1925,1907],{"className":1926},[626],[576,1928],{"className":1929,"style":1363},[1362],[576,1931,1933],{"className":1932},[626,1367],[576,1934,1342],{"className":1935},[626],[576,1937,1939,1953],{"className":1938},[579],[576,1940,1942],{"className":1941},[583],[585,1943,1944],{"xmlns":587},[589,1945,1946,1951],{},[592,1947,1948],{},[862,1949,1950],{},"9",[605,1952,1950],{"encoding":607},[576,1954,1956],{"className":1955,"ariaHidden":613},[612],[576,1957,1959,1962],{"className":1958},[617],[576,1960],{"className":1961,"style":1178},[621],[576,1963,1950],{"className":1964},[626]," Stunden noch",[576,1967,1969],{"className":1968},[1405],[576,1970,1972,2032],{"className":1971},[579],[576,1973,1975],{"className":1974},[583],[585,1976,1977],{"xmlns":587,"display":1414},[589,1978,1979,2029],{},[592,1980,1981,1983,1985,1987,1989,1991,1993,1995,2006,2008,2010,2012,2019,2022,2025,2027],{},[598,1982,1421],{},[1423,1984,1426],{"stretchy":1425},[862,1986,1950],{},[1423,1988,1431],{"stretchy":1425},[1423,1990,1434],{},[862,1992,1907],{},[1423,1994,1439],{},[1441,1996,1997,2000],{},[862,1998,1999],{},"0,5",[700,2001,2002,2004],{},[862,2003,1950],{},[862,2005,1877],{},[1423,2007,1434],{},[862,2009,1907],{},[1423,2011,1439],{},[1441,2013,2014,2016],{},[862,2015,1999],{},[862,2017,2018],{},"1,5",[1423,2020,2021],{},"≈",[862,2023,2024],{},"141,4",[1337,2026,1339],{},[1337,2028,1342],{},[605,2030,2031],{"encoding":607},"N(9) = 400 \\cdot 0{,}5^{\\frac{9}{6}} = 400 \\cdot 0{,}5^{1{,}5} \\approx 141{,}4\\,\\text{mg}",[576,2033,2035,2062,2080,2207,2225,2293],{"className":2034,"ariaHidden":613},[612],[576,2036,2038,2041,2044,2047,2050,2053,2056,2059],{"className":2037},[617],[576,2039],{"className":2040,"style":1494},[621],[576,2042,1421],{"className":2043,"style":1498},[626,630],[576,2045,1426],{"className":2046},[730],[576,2048,1950],{"className":2049},[626],[576,2051,1431],{"className":2052},[845],[576,2054],{"className":2055,"style":1511},[1362],[576,2057,1434],{"className":2058},[1515],[576,2060],{"className":2061,"style":1511},[1362],[576,2063,2065,2068,2071,2074,2077],{"className":2064},[617],[576,2066],{"className":2067,"style":1178},[621],[576,2069,1907],{"className":2070},[626],[576,2072],{"className":2073,"style":1531},[1362],[576,2075,1439],{"className":2076},[1535],[576,2078],{"className":2079,"style":1531},[1362],[576,2081,2083,2087,2090,2098,2198,2201,2204],{"className":2082},[617],[576,2084],{"className":2085,"style":2086},[621],"height:1.1985em;vertical-align:-0.1944em;",[576,2088,1166],{"className":2089},[626],[576,2091,2093],{"className":2092},[626],[576,2094,2097],{"className":2095},[2096],"mpunct",",",[576,2099,2101,2105],{"className":2100},[626],[576,2102,2104],{"className":2103},[626],"5",[576,2106,2108],{"className":2107},[635],[576,2109,2111],{"className":2110},[639],[576,2112,2114],{"className":2113},[644],[576,2115,2118],{"className":2116,"style":2117},[648],"height:1.004em;",[576,2119,2121,2124],{"style":2120},"top:-3.413em;margin-right:0.05em;",[576,2122],{"className":2123,"style":751},[656],[576,2125,2127],{"className":2126},[661,662,663,664],[576,2128,2130],{"className":2129},[626,664],[576,2131,2133,2136,2195],{"className":2132},[626,664],[576,2134],{"className":2135},[730,731,661,787,1665],[576,2137,2139],{"className":2138},[700],[576,2140,2142,2187],{"className":2141},[639,640],[576,2143,2145,2184],{"className":2144},[644],[576,2146,2148,2162,2170],{"className":2147,"style":1678},[648],[576,2149,2150,2153],{"style":1681},[576,2151],{"className":2152,"style":751},[656],[576,2154,2156],{"className":2155},[661,787,788,664],[576,2157,2159],{"className":2158},[626,664],[576,2160,1877],{"className":2161},[626,664],[576,2163,2164,2167],{"style":1696},[576,2165],{"className":2166,"style":751},[656],[576,2168],{"className":2169,"style":1703},[813,664],[576,2171,2172,2175],{"style":1706},[576,2173],{"className":2174,"style":751},[656],[576,2176,2178],{"className":2177},[661,787,788,664],[576,2179,2181],{"className":2180},[626,664],[576,2182,1950],{"className":2183},[626,664],[576,2185,673],{"className":2186},[672],[576,2188,2190],{"className":2189},[644],[576,2191,2193],{"className":2192,"style":1728},[648],[576,2194],{},[576,2196],{"className":2197},[845,731,661,787,1665],[576,2199],{"className":2200,"style":1511},[1362],[576,2202,1434],{"className":2203},[1515],[576,2205],{"className":2206,"style":1511},[1362],[576,2208,2210,2213,2216,2219,2222],{"className":2209},[617],[576,2211],{"className":2212,"style":1178},[621],[576,2214,1907],{"className":2215},[626],[576,2217],{"className":2218,"style":1531},[1362],[576,2220,1439],{"className":2221},[1535],[576,2223],{"className":2224,"style":1531},[1362],[576,2226,2228,2232,2235,2241,2284,2287,2290],{"className":2227},[617],[576,2229],{"className":2230,"style":2231},[621],"height:1.0585em;vertical-align:-0.1944em;",[576,2233,1166],{"className":2234},[626],[576,2236,2238],{"className":2237},[626],[576,2239,2097],{"className":2240},[2096],[576,2242,2244,2247],{"className":2243},[626],[576,2245,2104],{"className":2246},[626],[576,2248,2250],{"className":2249},[635],[576,2251,2253],{"className":2252},[639],[576,2254,2256],{"className":2255},[644],[576,2257,2260],{"className":2258,"style":2259},[648],"height:0.8641em;",[576,2261,2263,2266],{"style":2262},"top:-3.113em;margin-right:0.05em;",[576,2264],{"className":2265,"style":657},[656],[576,2267,2269],{"className":2268},[661,662,663,664],[576,2270,2272,2275,2281],{"className":2271},[626,664],[576,2273,864],{"className":2274},[626,664],[576,2276,2278],{"className":2277},[626,664],[576,2279,2097],{"className":2280},[2096,664],[576,2282,2104],{"className":2283},[626,664],[576,2285],{"className":2286,"style":1511},[1362],[576,2288,2021],{"className":2289},[1515],[576,2291],{"className":2292,"style":1511},[1362],[576,2294,2296,2299,2303,2309,2312,2315],{"className":2295},[617],[576,2297],{"className":2298,"style":1355},[621],[576,2300,2302],{"className":2301},[626],"141",[576,2304,2306],{"className":2305},[626],[576,2307,2097],{"className":2308},[2096],[576,2310,970],{"className":2311},[626],[576,2313],{"className":2314,"style":1363},[1362],[576,2316,2318],{"className":2317},[626,1367],[576,2319,1342],{"className":2320},[626],[564,2322,2323],{},"vorhanden.",[559,2325,2327],{"id":2326},"typische-fehler","Typische Fehler",[2329,2330,2331,2520,2691],"ul",{},[2332,2333,2334,2335,1182],"li",{},"Glauben, dass nach zwei Halbwertszeiten alles weg ist: Es ist noch ein Viertel da, ",[576,2336,2338,2371],{"className":2337},[579],[576,2339,2341],{"className":2340},[583],[585,2342,2343],{"xmlns":587},[589,2344,2345,2368],{},[592,2346,2347,2363,2365],{},[1441,2348,2349,2361],{},[592,2350,2351,2353,2359],{},[1423,2352,1426],{"fence":613},[700,2354,2355,2357],{},[862,2356,864],{},[862,2358,867],{},[1423,2360,1431],{"fence":613},[862,2362,867],{},[1423,2364,1434],{},[862,2366,2367],{},"0,25",[605,2369,2370],{"encoding":607},"\\left(\\frac{1}{2}\\right)^2 = 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Exponenten nur ",[576,2524,2526,2539],{"className":2525},[579],[576,2527,2529],{"className":2528},[583],[585,2530,2531],{"xmlns":587},[589,2532,2533,2537],{},[592,2534,2535],{},[598,2536,704],{},[605,2538,704],{"encoding":607},[576,2540,2542],{"className":2541,"ariaHidden":613},[612],[576,2543,2545,2548],{"className":2544},[617],[576,2546],{"className":2547,"style":1210},[621],[576,2549,704],{"className":2550},[626,630]," statt 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