1This is maxima.info, produced by makeinfo version 6.6 from maxima.texi. 2 3Das ist ein Texinfo Maxima Manual 4 5 Copyright 1994,2001 William F. Schelter 6 7START-INFO-DIR-ENTRY 8* Maxima: (maxima). Ein Computer Algebra System. 9END-INFO-DIR-ENTRY 10 11 12Indirect: 13maxima.info-1: 246 14maxima.info-2: 302078 15maxima.info-3: 613751 16maxima.info-4: 910099 17maxima.info-5: 1234448 18maxima.info-6: 1501988 19maxima.info-7: 1800890 20maxima.info-8: 2116727 21maxima.info-9: 2433528 22 23Tag Table: 24(Indirect) 25Node: Top246 26Node: Einführung in Maxima15233 27Node: Programmfehler22021 28Node: Einführung in Programmfehler22244 29Node: Funktionen und Variablen für Programmfehler23251 30Ref: run_testsuite23479 31Ref: testsuite_files28312 32Ref: bug_report29149 33Ref: build_info30303 34Node: Hilfe32631 35Node: Dokumentation32805 36Node: Funktionen und Variablen der Hilfe33411 37Ref: apropos33588 38Ref: demo34389 39Ref: describe35748 40Ref: example38678 41Ref: manual_demo40254 42Node: Kommandozeile40469 43Node: Einführung in die Kommandozeile40731 44Node: Funktionen und Variablen der Eingabe46838 45Ref: ;47092 46Ref: $47625 47Ref: __48326 48Ref: _49562 49Ref: %51161 50Ref: %%51894 51Ref: 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875Ref: ieqnprint934618 876Ref: lhs935302 877Ref: linsolve937041 878Ref: linsolvewarn939968 879Ref: linsolve_params940170 880Ref: multiplicities940480 881Ref: nroots940876 882Ref: nthroot941358 883Ref: polyfactor941768 884Ref: programmode942135 885Ref: realonly942588 886Ref: realroots942772 887Ref: rhs944842 888Ref: rootsepsilon946582 889Ref: solve946782 890Ref: solvedecomposes953790 891Ref: solveexplicit953973 892Ref: solvefactors954614 893Ref: solvenullwarn954974 894Ref: solveradcan955612 895Ref: solvetrigwarn955847 896Node: Lineare Algebra956583 897Node: Einführung in die lineare Algebra956812 898Ref: dot957129 899Node: Nicht-kommutative Multiplikation957129 900Node: Vektoren958838 901Node: Eigenwerte959754 902Node: Funktionen und Variablen der linearen Algebra960595 903Ref: addcol960837 904Ref: addrow961399 905Ref: adjoint962139 906Ref: augcoefmatrix962218 907Ref: charpoly962914 908Ref: coefmatrix964587 909Ref: col965052 910Ref: columnvector965541 911Ref: copymatrix966136 912Ref: determinat966468 913Ref: detout966819 914Ref: diagmatrix967740 915Ref: doallmxops968107 916Ref: domexpt968384 917Ref: domxmxops969729 918Ref: domxnctimes969900 919Ref: doscmxops970065 920Ref: doscmxplus970213 921Ref: dot0nscsimp970439 922Ref: dot0simp970670 923Ref: dot1simp970892 924Ref: dotassoc971111 925Ref: dotconstrules971267 926Ref: dotdistrib971639 927Ref: dotexptsimp971806 928Ref: dotident971963 929Ref: dotscrules972098 930Ref: echelon972291 931Ref: eigenvalues973554 932Ref: eigenvectors974487 933Ref: ematrix978848 934Ref: entermatrix979034 935Ref: express980483 936Ref: genmatrix983138 937Ref: gramschmidt985812 938Ref: ident988288 939Ref: innerproduct988366 940Ref: invert988828 941Ref: matrix990684 942Ref: matrixmap996458 943Ref: matrixp996658 944Ref: matrix_element_add996789 945Ref: matrix_element_mult998028 946Ref: matrix_element_transpose1000017 947Ref: mattrace1002170 948Ref: minor1002259 949Ref: ncharpoly1002432 950Ref: newdet1002807 951Ref: permanent1003038 952Ref: rank1003209 953Ref: potenial1003427 954Ref: ratmx1003975 955Ref: rmxchar1004451 956Ref: row1004620 957Ref: scalarmatrixp1004742 958Ref: setelmx1006204 959Ref: similaritytransform1006472 960Ref: sparse1007658 961Ref: submatrix1007915 962Ref: transpose1008220 963Ref: triangularize1008625 964Ref: uniteigenvectors1009789 965Ref: unitvector1010316 966Ref: vectorpotential1010538 967Ref: vectorsimp1010862 968Ref: vect_cross1012240 969Ref: zeromatrix1012996 970Node: Tensoren1013105 971Node: Tensorpakete in Maxima1013315 972Node: Paket itensor1016764 973Node: Einführung in itensor1016991 974Node: Funktionen und Variablen für itensor1024682 975Node: Behandlung indizierter Größen1025170 976Ref: canten1025421 977Ref: changename1026349 978Ref: components1027104 979Ref: concan1031167 980Ref: contract1031330 981Ref: contractions1031975 982Ref: defcon1032152 983Ref: dispcon1033059 984Ref: entertensor1033605 985Ref: flipflag1034324 986Ref: icounter1034689 987Ref: idummy1035005 988Ref: idummyx1035234 989Ref: indexed_tensor1035405 990Ref: indices1035682 991Ref: ishow1036553 992Ref: kdels1037056 993Ref: kdelta1038018 994Ref: lc_l1038528 995Ref: lc_u1039669 996Ref: lc2kdt1040029 997Ref: levi_civita1043401 998Ref: listoftens1045962 999Ref: remcomps1046538 1000Ref: remcon1046707 1001Ref: rename1047059 1002Ref: showcomps1050318 1003Node: Tensorsymmetrien1052657 1004Ref: allsym1052860 1005Ref: decsym1053316 1006Ref: remsym1055909 1007Ref: canform1056076 1008Node: Tensoranalysis1057172 1009Ref: itensor_diff1057371 1010Ref: idiff1058866 1011Ref: liediff1059659 1012Ref: rediff1060479 1013Ref: undiff1060625 1014Ref: evundiff1060838 1015Ref: flush1063149 1016Ref: flushd1063341 1017Ref: flushnd1063528 1018Ref: coord1064250 1019Ref: remcoord1064924 1020Ref: makebox1065211 1021Ref: conmetderiv1065561 1022Ref: simpmetderiv1066366 1023Ref: flush1deriv1069101 1024Ref: vect_coords1069248 1025Node: Tensoren in gekrümmten Räumen1069557 1026Ref: imetric1069791 1027Ref: idim1070090 1028Ref: ichr11070349 1029Ref: ichr21070744 1030Ref: icurvature1071035 1031Ref: covdiff1071564 1032Ref: lorentz gauge1073523 1033Ref: igeodesic_coords1073747 1034Node: Begleitende Vielbeine1075564 1035Ref: iframe_flag1078969 1036Ref: iframes1080280 1037Ref: ifb1080480 1038Ref: icc11081477 1039Ref: ifc11082714 1040Ref: ifc21083151 1041Ref: ifr1083550 1042Ref: ifri1083680 1043Ref: ifg1083875 1044Ref: ifgi1083985 1045Ref: iframe_bracket_form1084096 1046Node: Torsion und Nichtmetrizität1084224 1047Ref: inm1084720 1048Ref: inmc11085055 1049Ref: inmc21085420 1050Ref: ikt11085956 1051Ref: ikt21086392 1052Ref: itr1086663 1053Node: Graßmann-Algebra1089417 1054Ref: extdiff1094317 1055Ref: hodge1095798 1056Ref: igeowedge_flag1097294 1057Node: Exportiere als TeX1097688 1058Ref: tentex1098245 1059Node: Schnittstelle zum Paket ctensor1099375 1060Ref: ic_convert1099798 1061Node: Reservierte Bezeichner1101905 1062Node: Paket ctensor1102668 1063Node: Einführung in ctensor1102886 1064Node: Funktionen und Variablen für ctensor1107113 1065Ref: csetup1107369 1066Ref: cmetric1107588 1067Ref: ct_coordsys1108601 1068Ref: init_ctensor1114812 1069Ref: christof1116176 1070Ref: ricci1117072 1071Ref: uricci1117343 1072Ref: scurvature1117877 1073Ref: einstein1118039 1074Ref: leinstein1118635 1075Ref: riemann1119040 1076Ref: lriemann1120285 1077Ref: uriemann1120756 1078Ref: rinvariant1120951 1079Ref: weyl1121198 1080Ref: ctaylor1122257 1081Ref: cframe_flag1127651 1082Ref: frame_bracket1127841 1083Ref: nptetrad1128445 1084Ref: ctensor_psi1129146 1085Ref: petrov1130390 1086Ref: nonmetricity1135845 1087Ref: ctransform1136036 1088Ref: findde1136338 1089Ref: cograd1138682 1090Ref: contragrad1138881 1091Ref: ctensor_dscalar1140017 1092Ref: checkdiv1140919 1093Ref: cgeodesic1141362 1094Ref: bdvac1141656 1095Ref: invariant11142052 1096Ref: invariant21142258 1097Ref: bimetric1142516 1098Ref: diagmatrixp1142768 1099Ref: symmetricp1142865 1100Ref: ntermst1142962 1101Ref: cdisplay1143333 1102Ref: deleten1156875 1103Ref: dim1157065 1104Ref: diagmetric1157315 1105Ref: ctrgsimp1157774 1106Ref: cfram_flag1157971 1107Ref: ctorsion_flag1158403 1108Ref: cnonmet_flag1158644 1109Ref: ctayswitch1158927 1110Ref: ctayvar1159182 1111Ref: ctaypov1159299 1112Ref: ctaypt1159422 1113Ref: gdet1159556 1114Ref: ratchristof1159698 1115Ref: ratstein1159798 1116Ref: ratriemann1160040 1117Ref: ratweyl1160318 1118Ref: lfg1160575 1119Ref: ufg1160766 1120Ref: riem1160906 1121Ref: lriem1161192 1122Ref: uriem1161274 1123Ref: ric1161360 1124Ref: uric1161431 1125Ref: lg1161512 1126Ref: ug1161664 1127Ref: variable_weyl1161746 1128Ref: fb1161810 1129Ref: kinvariant1161894 1130Ref: np1161979 1131Ref: npi1162058 1132Ref: tr1162690 1133Ref: kt1162792 1134Ref: nm1162875 1135Ref: nmc1162959 1136Ref: tensorkill1163058 1137Ref: ct_coords1163217 1138Node: Paket atensor1166629 1139Node: Einführung in atensor1166825 1140Node: Funktionen und Variablen für atensor1170919 1141Ref: init_atensor1171124 1142Ref: atensimp1174825 1143Ref: alg_type1175874 1144Ref: adim1176329 1145Ref: aform1177080 1146Ref: asymbol1178089 1147Ref: sf1178845 1148Ref: af1179273 1149Ref: av1179708 1150Ref: abasep1180906 1151Node: Zahlentheorie1181455 1152Node: Funktionen und Variablen der Zahlentheorie1181646 1153Ref: bern1181857 1154Ref: bernpoly1182632 1155Ref: bfzeta1182736 1156Ref: bfhzeta1183473 1157Ref: burn1184055 1158Ref: chinese1184895 1159Ref: divsum1185844 1160Ref: euler1186435 1161Ref: factors_only1186757 1162Ref: fib1187115 1163Ref: fibtophi1187756 1164Ref: ifactors1188929 1165Ref: igcdex1189883 1166Ref: inrt1190551 1167Ref: inv_mod1190842 1168Ref: isqrt1191517 1169Ref: jacobi1191700 1170Ref: lcm1191974 1171Ref: lucas1192222 1172Ref: mod1193304 1173Ref: next_prime1195459 1174Ref: power_mod1195630 1175Ref: primep1196891 1176Ref: primep_number_of_tests1197811 1177Ref: primes1197970 1178Ref: prev_prime1198159 1179Ref: qunit1198338 1180Ref: totient1198625 1181Ref: zerobern1198764 1182Ref: zeta1199036 1183Ref: zeta%pi1200964 1184Ref: zn_add_table1201630 1185Ref: zn_characteristic_factors1201783 1186Ref: zn_carmichael_lambda1205453 1187Ref: zn_determinant1205697 1188Ref: zn_factor_generators1206872 1189Ref: zn_invert_by_lu1207113 1190Ref: zn_log1208200 1191Ref: zn_mult_table1210802 1192Ref: zn_nth_root1216434 1193Ref: zn_order1221370 1194Ref: zn_power_table1223765 1195Ref: zn_primroot1228783 1196Ref: zn_primroot_limit1231338 1197Ref: zn_primroot_p1231690 1198Ref: zn_primroot_pretest1233484 1199Ref: zn_primroot_verbose1234030 1200Node: Spezielle Funktionen1234448 1201Node: Einführung für spezielle Funktionen1234910 1202Node: Bessel-Funktionen und verwandte Funktionen1237214 1203Node: Bessel-Funktionen1237599 1204Ref: bessel_j1237823 1205Ref: bessel_y1244792 1206Ref: bessel_i1248706 1207Ref: bessel_k1252329 1208Ref: bessel_reduce1256147 1209Ref: besselexpand1256412 1210Ref: scaled_bessel_i1258194 1211Ref: scaled_bessel_i01259471 1212Ref: scaled_bessel_i11259576 1213Node: Hankel-Funktionen1259681 1214Ref: hankel_11259878 1215Ref: hankel_21262391 1216Node: Airy-Funktionen1263549 1217Ref: airy_ai1264068 1218Ref: airy_dai1267107 1219Ref: airy_bi1268116 1220Ref: airy_dbi1269207 1221Node: Struve-Funktionen1270216 1222Ref: struve_h1270387 1223Ref: struve_l1272919 1224Node: Gammafunktionen und verwandte Funktionen1275456 1225Ref: bffac1275923 1226Ref: bfpsi1276869 1227Ref: cbffac1277870 1228Ref: gamma1278561 1229Ref: gamma_expand1282127 1230Ref: log_gamma1282501 1231Ref: gamma_incomplete1282573 1232Ref: gamma_incomplete_regularized1282939 1233Ref: gamma_incomplete_generalized1283196 1234Ref: gammalim1283551 1235Ref: makegamma1284048 1236Ref: beta1284720 1237Ref: beta_incomplete1289499 1238Ref: beta_incomplete_regularized1295954 1239Ref: beta_incomplete_generalized1300485 1240Ref: beta_expand1306110 1241Ref: beta_args_sum_to_integer1306365 1242Ref: psi1306663 1243Ref: maxpsiposint1307356 1244Ref: maxpsinegint1308345 1245Ref: maxpsifracnum1309382 1246Ref: maxpsifracdenom1310367 1247Ref: makefact1311706 1248Ref: numfactor1311892 1249Node: Exponentielle Integrale1312448 1250Ref: expintegral_e11312804 1251Ref: expintegral_ei1312894 1252Ref: expintegral_li1312984 1253Ref: expintegral_e1313078 1254Ref: expintegral_si1313174 1255Ref: expintegral_ci1313264 1256Ref: expintegral_shi1313354 1257Ref: expintegral_chi1313446 1258Ref: expintrep1313538 1259Ref: expintexpand1313858 1260Node: Fehlerfunktionen1314127 1261Ref: erf1314455 1262Ref: erfc1314575 1263Ref: erfi1314683 1264Ref: erf_generalized1314771 1265Ref: fresnel_c1314870 1266Ref: fresnel_s1315660 1267Ref: erf_representation1316450 1268Ref: hypergeometric_representation1316743 1269Node: Elliptische Funktionen und Integrale1317011 1270Node: Einführung in Elliptische Funktionen und Integrale1317427 1271Node: Funktionen und Variablen für Elliptische Funktionen1321309 1272Node: Funktionen und Variablen für Elliptische Integrale1324094 1273Ref: elliptic_f1324394 1274Ref: elliptic_e1324622 1275Ref: elliptic_eu1324870 1276Ref: elliptic_pi1325282 1277Ref: elliptic_kc1325546 1278Ref: elliptic_ec1325885 1279Node: Hypergeometrische Funktionen1326223 1280Ref: %m1326459 1281Ref: %w1326635 1282Ref: %f1326752 1283Ref: hypergeometric1327010 1284Ref: parabolic_cylinder_d1328775 1285Node: Weitere spezielle Funktionen1329178 1286Ref: li1329369 1287Ref: specint1331963 1288Ref: hgfred1336464 1289Ref: lambert_w1338629 1290Ref: nzeta1338749 1291Ref: nzetar1338870 1292Ref: nzetai1338938 1293Ref: %s1339006 1294Node: Fourier-Transformationen1339124 1295Node: Einführung in die schnelle Fourier-Transformation1339512 1296Node: Funktionen und Variablen für die schnelle Fourier-Transformation1339976 1297Ref: polartorect1340336 1298Ref: recttopolar1340908 1299Ref: inverse_fft1341550 1300Ref: fft1343936 1301Ref: horner1347967 1302Ref: find_root1349016 1303Ref: find_root_error1349016 1304Ref: find_root_abs1349016 1305Ref: find_root_rel1349016 1306Node: Einführung in Fourierreihen1352444 1307Node: Funktionen und Variablen für Fourierreihen1352923 1308Ref: equalp1353159 1309Ref: funp1353606 1310Ref: absint1353958 1311Ref: fourier1354701 1312Ref: foursimp1358176 1313Ref: sinnpiflag1358785 1314Ref: cosnpiflag1358968 1315Ref: fourexpand1359153 1316Ref: fourcos1359495 1317Ref: foursin1359679 1318Ref: totalfourier1359861 1319Ref: fourint1361446 1320Ref: fourintcos1361629 1321Ref: fourintsin1361809 1322Node: Muster und Regeln1361987 1323Node: Einführung in Muster und Regeln1362247 1324Node: Funktionen und Variablen für Muster und Regeln1363581 1325Ref: announce_rules_firing1363826 1326Ref: apply11364941 1327Ref: apply21367801 1328Ref: applyb11371289 1329Ref: clear_rules1373896 1330Ref: current_let_rule_package1376605 1331Ref: default_let_rule_package1377286 1332Ref: defmatch1377640 1333Ref: defrule1382702 1334Ref: disprule1385479 1335Ref: let1387075 1336Ref: let_rule_packages1392320 1337Ref: letrat1392534 1338Ref: letrules1393465 1339Ref: letsimp1395785 1340Ref: matchdeclare1396881 1341Ref: maxapplydepth1405832 1342Ref: maxapplyheight1406065 1343Ref: remlet1406294 1344Ref: remrule1407394 1345Ref: rules1409584 1346Ref: tellsimp1410126 1347Ref: tellsimpafter1412657 1348Node: Funktionsdefinitionen1421788 1349Node: Funktionen1422042 1350Ref: Array-Funktionen1425247 1351Node: Makros1428002 1352Ref: buildq1428169 1353Ref: macroexpand1432152 1354Ref: macroexpand11433321 1355Ref: macros1440300 1356Ref: splice1440687 1357Node: Funktionen und Variablen für Funktionsdefinitionen1441675 1358Ref: apply1441911 1359Ref: define1444296 1360Ref: define_variable1448108 1361Ref: dispfun1452226 1362Ref: fullmap1455507 1363Ref: fullmapl1456245 1364Ref: functions1456571 1365Ref: fundef1458163 1366Ref: funmake1458447 1367Ref: lambda1461592 1368Ref: map1467490 1369Ref: mapatom1469011 1370Ref: maperror1469337 1371Ref: mapprint1469782 1372Ref: maplist1470224 1373Ref: outermap1470613 1374Ref: remfunction1476456 1375Ref: scanmap1477344 1376Node: Laufzeitumgebung1478584 1377Node: Initialisierung von Maxima1478840 1378Node: Interrupts1483392 1379Node: Funktionen und Variablen der Laufzeitumgebung1487712 1380Ref: maxima_tempdir1487932 1381Ref: maxima_userdir1488562 1382Ref: room1489619 1383Ref: sstatus1490763 1384Ref: status1491217 1385Ref: system1492399 1386Ref: time1492737 1387Ref: timedate1493388 1388Ref: absolute_real_time1493681 1389Ref: elapsed_real_time1494120 1390Ref: elapsed_run_time1494575 1391Node: Programmierung1495065 1392Node: Lisp und Maxima1495315 1393Node: Einführung in die Programmierung1501988 1394Node: Funktionen und Variablen der Programmierung1504087 1395Ref: backtrace1504321 1396Ref: block1505774 1397Ref: break1508888 1398Ref: catch1509498 1399Ref: do1510582 1400Ref: eval_when1518225 1401Ref: errcatch1524567 1402Ref: error1525394 1403Ref: error_size1526572 1404Ref: error_syms1528036 1405Ref: errormsg1528488 1406Ref: variable_errormsg1528701 1407Ref: for1530039 1408Ref: go1530196 1409Ref: if1530665 1410Ref: local1533390 1411Ref: return1534683 1412Ref: throw1534876 1413Ref: while1535068 1414Ref: unless1535068 1415Node: Übersetzer1535163 1416Node: Einführung in den Übersetzer1535373 1417Node: Funktionen und Variablen des Übersetzers1535585 1418Ref: compfile1535802 1419Ref: compile1536705 1420Ref: compile_file1537270 1421Ref: declare_translated1538913 1422Ref: mode_checkp1539612 1423Ref: mode_check_errorp1540597 1424Ref: mode_check_warnp1541398 1425Ref: mode_declare1541813 1426Ref: mode_identity1543547 1427Ref: savedef1544532 1428Ref: transcompile1546105 1429Ref: translate1546396 1430Ref: translate_file1548724 1431Ref: transrun1551173 1432Ref: tr_array_as_ref1551381 1433Ref: tr_bound_function_applyp1551774 1434Ref: tr_file_tty_messagep1552190 1435Ref: tr_float_can_branch_complex1552527 1436Ref: tr_function_call_default1552729 1437Ref: tr_numer1553238 1438Ref: tr_optimize_max_loop1553408 1439Ref: tr_semicompile1553672 1440Ref: tr_state_vars1553925 1441Ref: tr_warnings_get1554243 1442Ref: tr_warn_bad_function_calls1554373 1443Ref: tr_warn_fexpr1554624 1444Ref: tr_warn_meval1554775 1445Ref: tr_warn_mode1554963 1446Ref: tr_warn_undeclared1555136 1447Ref: tr_warn_undedined_variable1555304 1448Node: Fehlersuche1555459 1449Node: Quellcode-Debugger1555683 1450Node: Debugger-Kommandos1559341 1451Node: Funktionen und Variablen der Fehlersuche1561614 1452Ref: debugmode1561822 1453Ref: refcheck1562246 1454Ref: setcheck1562439 1455Ref: setcheckbreak1563539 1456Ref: setval1564029 1457Ref: timer1564314 1458Ref: untimer1565902 1459Ref: timer_devalue1566680 1460Ref: timer_info1567091 1461Ref: trace1567870 1462Ref: trace_options1568736 1463Ref: untrace1570752 1464Node: Verschiedenes1571082 1465Node: Einführung in Verschiedenes1571318 1466Node: Share-Pakete1571575 1467Node: Funktionen und Variablen für Verschiedenes1572369 1468Ref: askexp1572579 1469Ref: gensym1572826 1470Ref: packagefile1573811 1471Ref: remvalue1574525 1472Ref: rncombine1574873 1473Ref: setup_autoload1575374 1474Node: abs_integrate1576861 1475Node: Introduction to abs_integrate1577076 1476Node: Functions and Variables for abs_integrate1581117 1477Ref: extra_integration_methods1581341 1478Ref: extra_definite_integration_methods1584825 1479Ref: intfudu1585974 1480Ref: intfugudu1588267 1481Ref: signum_to_abs1589511 1482Ref: simp_assuming1590120 1483Ref: conditional_integrate1590891 1484Ref: convert_to_signum1592773 1485Node: affine1593710 1486Node: Introduction to Affine1593890 1487Node: Functions and Variables for Affine1594129 1488Ref: fast_linsolve1594318 1489Ref: grobner_basis1594981 1490Ref: set_up_dot_simplifications1595789 1491Ref: declare_weights1596665 1492Ref: nc_degree1596907 1493Ref: dotsimp1597070 1494Ref: fast_central_elements1597317 1495Ref: check_overlaps1597730 1496Ref: mono1598357 1497Ref: monomial_dimensions1598598 1498Ref: extract_linear_equations1598763 1499Ref: list_nc_monomials1599149 1500Ref: all_dotsimp_denoms1599417 1501Node: asympa1599759 1502Node: Introduction to asympa1599946 1503Ref: function_asympa1600126 1504Node: Functions and variables for asympa1600447 1505Node: augmented_lagrangian1600636 1506Node: Functions and Variables for augmented_lagrangian1600841 1507Ref: augmented_lagrangian_method1601084 1508Node: bernstein1604802 1509Node: Functions and Variables for Bernstein1604972 1510Node: bode1609811 1511Node: Functions and Variables for bode1609952 1512Ref: bode_gain1610115 1513Ref: bode_phase1611534 1514Node: cobyla1613066 1515Node: Introduction to cobyla1613266 1516Node: Functions and Variables for cobyla1615688 1517Ref: fmin_cobyla1615905 1518Ref: bf_fmin_cobyla1618111 1519Node: Examples for cobyla1618468 1520Node: contrib_ode1619218 1521Node: Introduction to contrib_ode1619532 1522Node: Functions and Variables for contrib_ode1624860 1523Ref: function_contrib_ode1625119 1524Ref: odelin1625278 1525Ref: ode_check1626579 1526Ref: method1627737 1527Ref: %c1627836 1528Ref: %k11627915 1529Ref: %k21628003 1530Ref: gauss_a1628092 1531Ref: gauss_b1628635 1532Ref: dgauss_a1628700 1533Ref: dgauss_b1628825 1534Ref: kummer_m1628950 1535Ref: kummer_u1629359 1536Ref: dkummer_m1629542 1537Ref: dkummer_u1629654 1538Node: Possible improvements to contrib_ode1629766 1539Node: Test cases for contrib_ode1630865 1540Node: References for contrib_ode1631625 1541Node: Package descriptive1633074 1542Node: Introduction to descriptive1633488 1543Node: Functions and Variables for data manipulation1638547 1544Ref: continuous_freq1641175 1545Ref: discrete_freq1643096 1546Ref: subsample1643698 1547Node: Functions and Variables for descriptive statistics1649877 1548Ref: mean1650231 1549Ref: var1651091 1550Ref: var11651689 1551Ref: std1652527 1552Ref: std11653157 1553Ref: noncentral_moment1653793 1554Ref: central_moment1654704 1555Ref: cv1655636 1556Ref: mini1656271 1557Ref: maxi1656735 1558Ref: range1657202 1559Ref: quantile1657664 1560Ref: median1658548 1561Ref: qrange1659269 1562Ref: mean_deviation1659998 1563Ref: median_deviation1660940 1564Ref: harmonic_mean1661806 1565Ref: geometric_mean1662715 1566Ref: kurtois1663615 1567Ref: skewness1664474 1568Ref: pearson_skewness1665345 1569Ref: quarile_skewness1666149 1570Node: Functions and Variables for specific multivariate descriptive statistics1667040 1571Ref: cov1667439 1572Ref: cov11668704 1573Ref: global_variance1669969 1574Ref: cor1671723 1575Ref: list_correlations1673811 1576Node: Functions and Variables for statistical graphs1677034 1577Ref: barsplot1677322 1578Ref: barsplot_description1677322 1579Ref: boxplot1682646 1580Ref: boxplot_description1682646 1581Ref: histogram1684982 1582Ref: histogram_description1684982 1583Ref: piechart1688346 1584Ref: scatterplot1690156 1585Ref: starplot1692273 1586Ref: starplot_description1692273 1587Ref: stemplot1694746 1588Node: diag1695726 1589Node: Functions and Variables for diag1695886 1590Node: Package distrib1712674 1591Node: Introduction to distrib1712944 1592Node: Functions and Variables for continuous distributions1719046 1593Ref: pdf_normal1719358 1594Ref: cdf_normal1719569 1595Ref: quantile_normal1720155 1596Ref: mean_normal1720753 1597Ref: var_normal1720935 1598Ref: std_normal1721127 1599Ref: skewness_normal1721327 1600Ref: kurtois_normal1721550 1601Ref: random_norml1721773 1602Ref: pdf_student_t1722270 1603Ref: cdf_student_t1722499 1604Ref: quantile_student_t1723102 1605Ref: mean_student_t1723396 1606Ref: var_student_t1723598 1607Ref: std_student_t1723922 1608Ref: skewness_student_t1724109 1609Ref: kurtois_student_t1724331 1610Ref: random_student_t1724525 1611Ref: pdf_noncentral_student_t1725349 1612Ref: cdf_noncentral_student_t1726237 1613Ref: quantile_noncentral_student_t1726926 1614Ref: mean_noncentral_student_t1727324 1615Ref: var_noncentral_student_t1727982 1616Ref: std_noncentral_student_t1728251 1617Ref: skewness_noncentral_student_t1728530 1618Ref: kurtois_noncentral_student_t1728816 1619Ref: random_noncentral_t1729102 1620Ref: pdf_chi21730046 1621Ref: cdf_chi21730948 1622Ref: quantile_chi21731416 1623Ref: mean_chi21732246 1624Ref: var_chi21732849 1625Ref: std_chi21733458 1626Ref: skewness_chi21734093 1627Ref: kurtois_chi21734845 1628Ref: random_chi21735585 1629Ref: pdf_noncentral_chi21735989 1630Ref: cdf_noncentral_chi21736277 1631Ref: quantile_noncentral_chi21736570 1632Node: Functions and Variables for discrete distributions1776601 1633Ref: pdf_general_finite_discrete1776877 1634Ref: cdf_general_finite_discrete1777736 1635Ref: quantile_general_finite_discrete1778620 1636Ref: var_general_finite_discrete1779059 1637Ref: std_general_finite_discrete1779273 1638Ref: skewness_general_finite_discrete1779497 1639Ref: random_general_finite_discrete1779959 1640Ref: pdf_hypergeometric1794604 1641Ref: cdf_hypergeometric1795138 1642Node: draw1800890 1643Node: Introduction to draw1801144 1644Node: Functions and Variables for draw1801607 1645Ref: background_color1811121 1646Ref: color_graphic_option1813581 1647Ref: colorbox_graphic_option1815813 1648Ref: draw_realpart1823150 1649Ref: enhanced3d1823928 1650Ref: file_name1829832 1651Ref: font1832131 1652Ref: font_size1835518 1653Ref: palette_graphic_option1847225 1654Ref: surface_hide1854986 1655Ref: terminal1855510 1656Ref: title1858265 1657Ref: transform1858690 1658Ref: transparent1860129 1659Ref: tube_extremes1860649 1660Ref: view1862567 1661Ref: wired_surface1863156 1662Ref: x_voxel1863638 1663Ref: bars1884534 1664Ref: cylindrical1885433 1665Ref: elevation_grid1886151 1666Ref: ellipse1887181 1667Ref: errors1888361 1668Ref: explicit1889727 1669Ref: image1891524 1670Ref: implicit1895274 1671Ref: label1897257 1672Ref: mesh1898558 1673Ref: parametric1899997 1674Ref: parametric_surface1901499 1675Ref: points1902751 1676Ref: polar1909273 1677Ref: polygon1910155 1678Ref: quadrilateral1911002 1679Ref: rectangle1912069 1680Ref: region1913056 1681Ref: spherical1913798 1682Ref: triangle1914525 1683Ref: tube1915451 1684Ref: vector1916246 1685Node: Functions and Variables for pictures1917568 1686Node: Functions and Variables for worldmap1921836 1687Node: drawdf1933934 1688Node: Introduction to drawdf1934107 1689Node: Functions and Variables for drawdf1935965 1690Ref: function_drawdf1936189 1691Node: dynamics1944411 1692Node: Introduction to dynamics1944595 1693Node: Functions and Variables for dynamics1946146 1694Node: ezunits1955905 1695Node: Introduction to ezunits1956121 1696Node: Introduction to physical_constants1959713 1697Node: Functions and Variables for ezunits1964368 1698Node: f901992235 1699Node: Functions and Variables for f901992371 1700Ref: function_f901992529 1701Node: finance1994345 1702Node: Introduction to finance1994522 1703Node: Functions and Variables for finance1995105 1704Node: fractals2006030 1705Node: Introduction to fractals2006307 1706Node: Definitions for IFS fractals2006907 1707Node: Definitions for complex fractals2008612 1708Node: Definitions for Koch snowflakes2010899 1709Node: Definitions for Peano maps2011877 1710Node: ggf2012662 1711Node: Functions and Variables for ggf2012798 1712Node: graphs2014566 1713Node: Introduction to graphs2014737 1714Node: Functions and Variables for graphs2015803 1715Ref: draw_graph2056373 1716Node: grobner2064335 1717Node: Introduction to grobner2064515 1718Node: Functions and Variables for grobner2066325 1719Ref: poly_gcd2076644 1720Node: groups2080454 1721Node: Functions and Variables for Groups2080602 1722Node: impdiff2082541 1723Node: Functions and Variables for impdiff2082693 1724Node: interpol2083330 1725Node: Introduction to interpol2083514 1726Node: Functions and Variables for interpol2083913 1727Node: lapack2096630 1728Node: Introduction to lapack2096804 1729Node: Functions and Variables for lapack2097115 1730Node: lbfgs2116727 1731Node: Introduction to lbfgs2116898 1732Node: Functions and Variables for lbfgs2117902 1733Node: lindstedt2133312 1734Node: Functions and Variables for lindstedt2133476 1735Node: linearalgebra2134998 1736Node: Introduction to linearalgebra2135211 1737Node: Functions and Variables for linearalgebra2139733 1738Node: lsquares2165854 1739Node: Introduction to lsquares2166048 1740Node: Functions and Variables for lsquares2166378 1741Node: makeOrders2187820 1742Node: Functions and Variables for makeOrders2187985 1743Node: minpack2188989 1744Node: Introduction to minpack2189172 1745Node: Functions and Variables for minpack2189394 1746Node: mnewton2193439 1747Node: Einführung in mnewton2193622 1748Node: Funktionen und Variablen für mnewton2194060 1749Ref: newtonepsilon2194255 1750Ref: newtonmaxiter2194567 1751Ref: function_mnewton2194748 1752Ref: newton2196573 1753Node: numericalio2198436 1754Node: Introduction to numericalio2198708 1755Node: Functions and Variables for plain-text input and output2202744 1756Node: Functions and Variables for binary input and output2207723 1757Node: opsubst2211331 1758Node: Functions and Variables for opsubst2211489 1759Ref: function_opsubst2211667 1760Node: orthopoly2213990 1761Node: Introduction to orthogonal polynomials2214205 1762Ref: Floating point Evaluation2224767 1763Node: Functions and Variables for orthogonal polynomials2231850 1764Ref: assoc_legendre_p2232106 1765Ref: assoc_legendre_q2232375 1766Ref: chebyshev_t2232581 1767Ref: chebyshev_u2232735 1768Ref: gen_laguerre2232890 1769Ref: hermite2233059 1770Ref: intervalp2233191 1771Ref: jacobi_p2233305 1772Ref: laguerre2233645 1773Ref: legendre_p2233797 1774Ref: legendre_q2233969 1775Ref: orthopoly_recur2234122 1776Ref: orthopoly_returns_intervals2235301 1777Ref: orthopoly_weight2235672 1778Ref: pochhammer2236417 1779Ref: pochhammer_max_index2237692 1780Ref: spherical_bessel_j2238201 1781Ref: spherical_bessel_y2238396 1782Ref: spherical_hankel12238592 1783Ref: spherical_hankel22238759 1784Ref: spherical_harmonic2238927 1785Ref: unit_step2239055 1786Ref: ultraspherical2239321 1787Node: plotdf2239519 1788Node: Introduction to plotdf2239696 1789Node: Functions and Variables for plotdf2241652 1790Node: romberg2250467 1791Node: Functions and Variables for romberg2250618 1792Ref: function_romberg2250788 1793Ref: rombergabs2255748 1794Ref: rombergit2256294 1795Ref: rombergmin2256724 1796Ref: rombergtol2257010 1797Node: simplex2257557 1798Node: Introduction to simplex2257744 1799Node: Functions and Variables for simplex2258225 1800Node: simplification2262011 1801Node: Introduction to simplification2262312 1802Node: Package absimp2262689 1803Node: Package facexp2263734 1804Ref: facsum2265005 1805Ref: nextlayerfactor2266906 1806Ref: facsum_combine2267603 1807Ref: factorfacsum2268290 1808Ref: collectterms2268617 1809Node: Package functs2269466 1810Ref: rempart2269616 1811Ref: wronskian2269849 1812Ref: tracematrix2270314 1813Ref: function_rational2270472 1814Ref: nonzeroandfreeof2270789 1815Ref: function_linear2271008 1816Ref: gcdivide2271293 1817Ref: arithmetic2272972 1818Ref: geometric2273186 1819Ref: harmonic2273392 1820Ref: arithsum2273629 1821Ref: geosum2273786 1822Ref: gaussprob2274049 1823Ref: gd2274219 1824Ref: agd2274360 1825Ref: vers2274521 1826Ref: covers2274647 1827Ref: exsec2274779 1828Ref: hav2274905 1829Ref: combination2275031 1830Ref: permutation2275206 1831Node: Package ineq2275396 1832Node: Package rducon2279924 1833Ref: reduce_consts2280074 1834Node: Package scifac2281442 1835Ref: gcfac2281594 1836Node: Package sqdnst2282564 1837Ref: sqrtdenest2282693 1838Node: solve_rec2283706 1839Node: Introduction to solve_rec2283901 1840Node: Functions and Variables for solve_rec2284610 1841Ref: simplify_products2286605 1842Ref: simplify_sum2286799 1843Ref: solve_rec_function2287767 1844Ref: solve_rec_rat2290745 1845Ref: product_use_gamma2291609 1846Ref: summand_to_rec2291856 1847Node: stats2293098 1848Node: Introduction to stats2293374 1849Node: Functions and Variables for inference_result2294477 1850Node: Functions and Variables for stats2299248 1851Node: Functions and Variables for special distributions2334231 1852Node: stirling2335439 1853Node: Functions and Variables for stirling2335596 1854Node: stringproc2338531 1855Node: Einführung in die Verarbeitung von Zeichenketten2338832 1856Node: Ein- und Ausgabe2342774 1857Ref: close2343736 1858Ref: flength2343869 1859Ref: flush_output2344130 1860Ref: fposition2344280 1861Ref: freshline2344769 1862Ref: get_output_stream_string2345242 1863Ref: make_string_input_stream2345635 1864Ref: make_string_output_stream2346502 1865Ref: newline2347224 1866Ref: opena2347610 1867Ref: openr2348039 1868Ref: openw2348380 1869Ref: printf2348780 1870Ref: readbyte2353803 1871Ref: readchar2354722 1872Ref: readline2354973 1873Ref: sprint2355201 1874Ref: writebyte2355975 1875Node: Schriftzeichen2357421 1876Ref: adjust_external_format2357645 1877Ref: alphacharp2360204 1878Ref: alphanumericp2361241 1879Ref: ascii2361515 1880Ref: cequal2362064 1881Ref: cequalignore2362205 1882Ref: cgreaterp2362562 1883Ref: cgreaterpignore2362722 1884Ref: charp2363085 1885Ref: cint2363209 1886Ref: clessp2364259 1887Ref: clesspignore2364417 1888Ref: constituent2364774 1889Ref: digitcharp2365518 1890Ref: lowercasep2365703 1891Ref: newline_variable2365856 1892Ref: space2365946 1893Ref: tab2365990 1894Ref: unicode2366037 1895Ref: unicode_to_utf82368299 1896Ref: uppercasep2368862 1897Ref: us_ascii_only2369014 1898Ref: utf8_to_unicode2370080 1899Node: Verarbeitung von Zeichenketten2370323 1900Ref: charat2370671 1901Ref: charlist2371002 1902Ref: eval_string2371204 1903Ref: parse_string2371790 1904Ref: scopy2372427 1905Ref: sdowncase2372542 1906Ref: sequal2372766 1907Ref: sequalignore2372911 1908Ref: sexplode2373272 1909Ref: simplode2373373 1910Ref: sinsert2373983 1911Ref: sinvertcase2374508 1912Ref: slength2374948 1913Ref: smake2375053 1914Ref: smismatch2375249 1915Ref: split2375720 1916Ref: sposition2376514 1917Ref: sremove2376762 1918Ref: sremovefirst2377547 1919Ref: sreverse2377871 1920Ref: ssearch2378006 1921Ref: ssort2378664 1922Ref: ssubst2379397 1923Ref: ssubstfirst2380321 1924Ref: strim2380684 1925Ref: striml2381019 1926Ref: strimr2381143 1927Ref: stringp2381266 1928Ref: substring2381391 1929Ref: supcase2381956 1930Ref: tokens2382419 1931Node: Oktette und Werkzeuge für die Kryptographie2383241 1932Ref: base642383469 1933Ref: base64_decode2384577 1934Ref: crc24sum2385090 1935Ref: md5sum2386888 1936Ref: mgf1_sha12388144 1937Ref: number_to_octets2389103 1938Ref: octets_to_number2389552 1939Ref: octets_to_oid2389752 1940Ref: octets_to_string2390159 1941Ref: oid_to_octets2392277 1942Ref: sha1sum2392436 1943Ref: sha256sum2393742 1944Ref: string_to_octets2394576 1945Node: symmetries2395408 1946Node: Introduction to Symmetries2395612 1947Node: Functions and Variables for Symmetries2397061 1948Node: to_poly_solve2433528 1949Node: Functions and Variables for to_poly_solve2433704 1950Node: unit2480696 1951Node: Introduction to Units2480872 1952Node: Functions and Variables for Units2484546 1953Node: zeilberger2504054 1954Node: Introduction to zeilberger2504246 1955Node: Functions and Variables for zeilberger2506166 1956Ref: AntiDifference2506375 1957Ref: Gosper2506553 1958Ref: GosperSum2506777 1959Ref: parGosper2508809 1960Ref: Zeilberger2509132 1961Ref: MAX_ORD2509872 1962Ref: simplified_output2510004 1963Ref: linear_solver2510205 1964Ref: warnings2510390 1965Ref: Gosper_in_Zeilberger2510565 1966Ref: trivial_solutions2510817 1967Ref: mod_test2511127 1968Ref: modular_linear_solver2511302 1969Ref: ev_point2511477 1970Ref: mod_big_prime2511667 1971Ref: mod_threshold2511822 1972Node: Glossar2511985 1973Node: Index der Variablen und Funktionen2516759 1974 1975End Tag Table 1976 1977 1978Local Variables: 1979coding: iso-8859-1 1980End: 1981