118:@0.026565:0.967627:0.050760:0.967627:0.050760:0.951847:0.026565:0.951847:0.000000:0.000000:0.000000
Para calcular algunos valores de la función  , se procede así::@0.404235:0.501657:0.820087:0.501657:0.820087:0.485160:0.404235:0.485160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.706464:0.501773:0.710760:0.501773:0.710760:0.485304:0.706464:0.485304:0.000000
f:@0.418725:0.588552:0.423021:0.588552:0.423021:0.572083:0.418725:0.572083:0.000000
1:@0.436469:0.579602:0.444965:0.579602:0.444965:0.563104:0.436469:0.563104:0.000000
2:@0.435833:0.599801:0.444329:0.599801:0.444329:0.583303:0.435833:0.583303:0.000000
=:@0.456418:0.589073:0.466995:0.589073:0.466995:0.572792:0.456418:0.572792:0.000000
1 1:@0.479190:0.579602:0.513287:0.579602:0.513287:0.563104:0.479190:0.563104:0.000000:0.000000:0.000000
2 2:@0.478554:0.599801:0.512651:0.599801:0.512651:0.583303:0.478554:0.583303:0.000000:0.000000:0.000000
+:@0.490342:0.589073:0.500918:0.589073:0.500918:0.572792:0.490342:0.572792:0.000000
2:@0.522329:0.569163:0.527246:0.569163:0.527246:0.559614:0.522329:0.559614:0.000000
+ =:@0.530705:0.589073:0.568556:0.589073:0.568556:0.572792:0.530705:0.572792:0.000000:0.000000:0.000000
3:@0.544942:0.579602:0.553438:0.579602:0.553438:0.563104:0.544942:0.563104:0.000000
4:@0.544942:0.599801:0.553438:0.599801:0.553438:0.583303:0.544942:0.583303:0.000000
7:@0.572852:0.579602:0.581348:0.579602:0.581348:0.563104:0.572852:0.563104:0.000000
4:@0.573064:0.599801:0.581560:0.599801:0.581560:0.583303:0.573064:0.583303:0.000000
f:@0.417469:0.536140:0.421765:0.536140:0.421765:0.519671:0.417469:0.519671:0.000000
1:@0.446576:0.527183:0.455072:0.527183:0.455072:0.510685:0.446576:0.510685:0.000000
2:@0.445940:0.547382:0.454436:0.547382:0.454436:0.530885:0.445940:0.530885:0.000000
=:@0.466522:0.536661:0.477098:0.536661:0.477098:0.520380:0.466522:0.520380:0.000000
1 1:@0.500655:0.527183:0.534752:0.527190:0.534752:0.510692:0.500655:0.510685:0.000000:0.000000:0.000000
2 2:@0.500019:0.547382:0.534116:0.547389:0.534116:0.530892:0.500019:0.530885:0.000000:0.000000:0.000000
+:@0.511807:0.536661:0.522383:0.536661:0.522383:0.520380:0.511807:0.520380:0.000000
2:@0.543792:0.516751:0.548710:0.516751:0.548710:0.507202:0.543792:0.507202:0.000000
+ =:@0.552168:0.536661:0.590021:0.536661:0.590021:0.520380:0.552168:0.520380:0.000000:0.000000:0.000000
3:@0.566405:0.527190:0.574901:0.527190:0.574901:0.510692:0.566405:0.510692:0.000000
4:@0.566405:0.547389:0.574901:0.547389:0.574901:0.530892:0.566405:0.530892:0.000000
3:@0.594529:0.527190:0.603025:0.527190:0.603025:0.510692:0.594529:0.510692:0.000000
4:@0.594529:0.547389:0.603025:0.547389:0.603025:0.530892:0.594529:0.530892:0.000000
f:@0.653331:0.536564:0.657627:0.536564:0.657627:0.520095:0.653331:0.520095:0.000000
3:@0.682019:0.527608:0.690515:0.527608:0.690515:0.511110:0.682019:0.511110:0.000000
2:@0.681807:0.547807:0.690303:0.547807:0.690303:0.531310:0.681807:0.531310:0.000000
=:@0.702384:0.537084:0.712960:0.537084:0.712960:0.520804:0.702384:0.520804:0.000000
3 1:@0.736098:0.527608:0.770614:0.527614:0.770614:0.511116:0.736098:0.511110:0.000000:0.000000:0.000000
2 2:@0.735886:0.547807:0.769978:0.547813:0.769978:0.531315:0.735886:0.531310:0.000000:0.000000:0.000000
+:@0.747669:0.537084:0.758245:0.537084:0.758245:0.520804:0.747669:0.520804:0.000000
2:@0.779654:0.517176:0.784572:0.517176:0.784572:0.507627:0.779654:0.507627:0.000000
+ =:@0.788030:0.537084:0.825883:0.537084:0.825883:0.520804:0.788030:0.520804:0.000000:0.000000:0.000000
3:@0.802267:0.527614:0.810763:0.527614:0.810763:0.511116:0.802267:0.511116:0.000000
4:@0.802267:0.547813:0.810763:0.547813:0.810763:0.531315:0.802267:0.531315:0.000000
7:@0.830179:0.527614:0.838675:0.527614:0.838675:0.511116:0.830179:0.511116:0.000000
4:@0.830391:0.547813:0.838887:0.547813:0.838887:0.531315:0.830391:0.531315:0.000000
x:@0.353138:0.164386:0.358560:0.164386:0.358560:0.152662:0.353138:0.152662:0.000000
b:@0.255374:0.169253:0.262021:0.169253:0.262021:0.157529:0.255374:0.157529:0.000000
2a:@0.251889:0.179725:0.264348:0.179725:0.264348:0.168001:0.251889:0.168001:0.000000:0.000000
0:@0.223485:0.167003:0.229445:0.167003:0.229445:0.155279:0.223485:0.155279:0.000000
decrece:@0.167229:0.134154:0.211279:0.134154:0.211279:0.122016:0.167229:0.122016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crece:@0.299640:0.134154:0.329362:0.134154:0.329362:0.122016:0.299640:0.122016:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.308064:0.201412:0.319544:0.201412:0.319544:0.191388:0.308064:0.191388:0.000000
 Figura 3.1.:@0.319544:0.202120:0.370994:0.202120:0.370994:0.190643:0.319544:0.190643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.308064:0.346467:0.319544:0.346467:0.319544:0.336442:0.308064:0.336442:0.000000
 :@0.319544:0.347175:0.322426:0.347175:0.322426:0.335698:0.319544:0.335698:0.000000
Figura 3.2.:@0.322426:0.347175:0.370994:0.347175:0.370994:0.335698:0.322426:0.335698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.353413:0.312610:0.358752:0.312610:0.358752:0.301067:0.353413:0.301067:0.000000
b:@0.250557:0.317403:0.257101:0.317403:0.257101:0.305859:0.250557:0.305859:0.000000
2a:@0.247126:0.327713:0.259393:0.327713:0.259393:0.316170:0.247126:0.316170:0.000000:0.000000
0:@0.219162:0.315189:0.225031:0.315189:0.225031:0.303646:0.219162:0.303646:0.000000
decrece:@0.311379:0.261676:0.354751:0.261676:0.354751:0.249725:0.311379:0.249725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crece:@0.166422:0.264251:0.195686:0.264251:0.195686:0.252300:0.166422:0.252300:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.375337:0.926921:0.386817:0.926921:0.386817:0.916897:0.375337:0.916897:0.000000
 Figura 3.3.:@0.386817:0.927629:0.438267:0.927629:0.438267:0.916153:0.386817:0.916153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3:@0.170922:0.886031:0.185110:0.886031:0.185110:0.874019:0.170922:0.874019:0.000000:0.000000
–2:@0.214271:0.886031:0.228459:0.886031:0.228459:0.874019:0.214271:0.874019:0.000000:0.000000
–1:@0.257619:0.886031:0.271807:0.886031:0.271807:0.874019:0.257619:0.874019:0.000000:0.000000
0:@0.298697:0.886031:0.305192:0.886031:0.305192:0.874019:0.298697:0.874019:0.000000
1:@0.348156:0.886031:0.354651:0.886031:0.354651:0.874019:0.348156:0.874019:0.000000
2:@0.391504:0.886031:0.397999:0.886031:0.397999:0.874019:0.391504:0.874019:0.000000
1:@0.281826:0.889666:0.288321:0.889666:0.288321:0.877654:0.281826:0.877654:0.000000
2:@0.281826:0.900376:0.288321:0.900376:0.288321:0.888365:0.281826:0.888365:0.000000
1:@0.326914:0.889665:0.333409:0.889665:0.333409:0.877654:0.326914:0.877654:0.000000
2:@0.326914:0.900376:0.333409:0.900376:0.333409:0.888364:0.326914:0.888364:0.000000
x:@0.421195:0.884925:0.426741:0.884925:0.426741:0.872934:0.421195:0.872934:0.000000
y:@0.297865:0.685250:0.303589:0.685250:0.303589:0.673259:0.297865:0.673259:0.000000
y = x + x + 1:@0.164668:0.696952:0.223672:0.696951:0.223672:0.684960:0.164668:0.684960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 :@0.186564:0.692301:0.191514:0.692301:0.191514:0.685310:0.186564:0.685310:0.000000:0.000000
1:@0.293525:0.843622:0.300020:0.843622:0.300020:0.831611:0.293525:0.831611:0.000000
2:@0.293525:0.811088:0.300020:0.811088:0.300020:0.799077:0.293525:0.799077:0.000000
3:@0.293525:0.778555:0.300020:0.778555:0.300020:0.766543:0.293525:0.766543:0.000000
4:@0.293525:0.746021:0.300020:0.746021:0.300020:0.734009:0.293525:0.734009:0.000000
5:@0.293525:0.713487:0.300020:0.713487:0.300020:0.701475:0.293525:0.701475:0.000000
Intervalos de la función cuadrática donde es decreciente  :@0.404235:0.097328:0.864319:0.097328:0.864319:0.079645:0.404235:0.079645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o creciente:@0.404235:0.115433:0.492343:0.115433:0.492343:0.097750:0.404235:0.097750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  >0, la función cuadrática es estrictamente decreciente en el :@0.404235:0.139269:0.895955:0.139269:0.895955:0.122772:0.404235:0.122772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.424868:0.139385:0.433845:0.139385:0.433845:0.122916:0.424868:0.122916:0.000000
 :@0.891780:0.139269:0.895922:0.139269:0.895922:0.122772:0.891780:0.122772:0.000000
intervalo :@0.404254:0.167305:0.471104:0.167305:0.471104:0.150808:0.404254:0.150808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.503375:0.164461:0.506130:0.164461:0.506130:0.147963:0.503375:0.147963:0.000000
b:@0.524316:0.155736:0.533582:0.155736:0.533582:0.139267:0.524316:0.139267:0.000000
2:@0.519962:0.175820:0.528458:0.175820:0.528458:0.159322:0.519962:0.159322:0.000000
a:@0.529132:0.175935:0.538110:0.175935:0.538110:0.159467:0.529132:0.159467:0.000000
b:@0.501067:0.220649:0.510333:0.220649:0.510333:0.204181:0.501067:0.204181:0.000000
2:@0.496713:0.240733:0.505209:0.240733:0.505209:0.224235:0.496713:0.224235:0.000000
a:@0.505883:0.240849:0.514861:0.240849:0.514861:0.224380:0.505883:0.224380:0.000000
,:@0.518292:0.229374:0.521046:0.229374:0.521046:0.212876:0.518292:0.212876:0.000000
 y creciente en el intervalo  :@0.549861:0.167307:0.743381:0.167307:0.743381:0.150809:0.549861:0.150809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.767267:0.155494:0.776393:0.155494:0.776393:0.139275:0.767267:0.139275:0.000000
2:@0.762980:0.175272:0.771346:0.175272:0.771346:0.159025:0.762980:0.159025:0.000000
a:@0.772010:0.175386:0.780852:0.175386:0.780852:0.159167:0.772010:0.159167:0.000000
,:@0.784229:0.164085:0.786942:0.164085:0.786942:0.147838:0.784229:0.147838:0.000000
 .:@0.821012:0.167307:0.827909:0.167307:0.827909:0.150809:0.821012:0.150809:0.000000:0.000000
Este resultado lo interpretamos en el diagrama siguiente (figura 3.1.)::@0.404228:0.198914:0.886493:0.198914:0.886493:0.182417:0.404228:0.182417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si  <0, la función cuadrática es estrictamente creciente en el intervalo :@0.404228:0.223393:0.895914:0.223393:0.895914:0.206896:0.404228:0.206896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.419505:0.223509:0.428483:0.223509:0.428483:0.207040:0.419505:0.207040:0.000000
 :@0.891772:0.223393:0.895914:0.223393:0.895914:0.206896:0.891772:0.206896:0.000000
 :@0.891772:0.223393:0.895914:0.223393:0.895914:0.206896:0.891772:0.206896:0.000000
,:@0.436525:0.248584:0.439280:0.248584:0.439280:0.232086:0.436525:0.232086:0.000000
b:@0.457465:0.239860:0.466732:0.239860:0.466732:0.223391:0.457465:0.223391:0.000000
2:@0.453120:0.259939:0.461616:0.259939:0.461616:0.243441:0.453120:0.243441:0.000000
a:@0.462290:0.260054:0.471268:0.260054:0.471268:0.243586:0.462290:0.243586:0.000000
b:@0.434218:0.304773:0.443485:0.304773:0.443485:0.288304:0.434218:0.288304:0.000000
2:@0.429864:0.324856:0.438360:0.324856:0.438360:0.308359:0.429864:0.308359:0.000000
a:@0.439034:0.324972:0.448012:0.324972:0.448012:0.308503:0.439034:0.308503:0.000000
,:@0.451441:0.313497:0.454196:0.313497:0.454196:0.297000:0.451441:0.297000:0.000000
 y decreciente en el intervalo  :@0.483011:0.251431:0.694542:0.251431:0.694542:0.234933:0.483011:0.234933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.718429:0.241746:0.727555:0.241746:0.727555:0.225527:0.718429:0.225527:0.000000
2:@0.714150:0.261521:0.722517:0.261521:0.722517:0.245274:0.714150:0.245274:0.000000
a:@0.723181:0.261635:0.732023:0.261635:0.732023:0.245416:0.723181:0.245416:0.000000
,:@0.735391:0.250339:0.738104:0.250339:0.738104:0.234092:0.735391:0.234092:0.000000
. :@0.772176:0.251431:0.779073:0.251431:0.779073:0.234933:0.772176:0.234933:0.000000:0.000000
La figura 3.2. interpreta se interpreta este resultado.:@0.404229:0.283038:0.764331:0.283038:0.764331:0.266540:0.404229:0.266540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.404229:0.318115:0.534884:0.318115:0.534884:0.301329:0.404229:0.301329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404229:0.342435:0.416501:0.342435:0.416501:0.325721:0.404229:0.325721:0.000000:0.000000
  Consideremos la función cuadrática  , definida por :@0.416501:0.342218:0.789644:0.342218:0.789644:0.325721:0.416501:0.325721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.686846:0.342334:0.691142:0.342334:0.691142:0.325865:0.686846:0.325865:0.000000
fx:@0.410359:0.361569:0.431647:0.361569:0.431647:0.345100:0.410359:0.345100:0.000000:0.000000
x:@0.455276:0.361569:0.462751:0.361569:0.462751:0.345100:0.455276:0.345100:0.000000
x:@0.488161:0.361569:0.495636:0.361569:0.495636:0.345100:0.488161:0.345100:0.000000
x x:@0.530757:0.361569:0.552195:0.361569:0.552195:0.345100:0.530757:0.345100:0.000000:0.000000:0.000000
++:@0.473693:0.362089:0.509604:0.362089:0.509604:0.345809:0.473693:0.345809:0.000000:0.000000
∈:@0.541950:0.362089:0.555686:0.362089:0.555686:0.345809:0.541950:0.345809:0.000000
()=:@0.417479:0.361453:0.451688:0.361453:0.451688:0.344956:0.417479:0.344956:0.000000:0.000000:0.000000
1,  :@0.511565:0.361453:0.530984:0.361453:0.530984:0.344956:0.511565:0.344956:0.000000:0.000000:0.000000:0.000000
2:@0.463967:0.353418:0.468884:0.353418:0.468884:0.343869:0.463967:0.343869:0.000000
∀:@0.530984:0.362003:0.544720:0.362003:0.544720:0.343163:0.530984:0.343163:0.000000
:@0.552195:0.361236:0.568243:0.361236:0.568243:0.346589:0.552195:0.346589:0.000000
R:@0.568243:0.360485:0.582152:0.360485:0.582152:0.347038:0.568243:0.347038:0.000000
. Se tiene :@0.582152:0.361453:0.649234:0.361453:0.649234:0.344956:0.582152:0.344956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom f:@0.649234:0.361569:0.694700:0.361569:0.694700:0.345100:0.649234:0.345100:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  . Como: :@0.684451:0.361453:0.792452:0.361453:0.792452:0.344956:0.684451:0.344956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.719745:0.360485:0.733654:0.360485:0.733654:0.347038:0.719745:0.347038:0.000000
f x:@0.407180:0.391499:0.428487:0.391499:0.428487:0.375030:0.407180:0.375030:0.000000:0.000000:0.000000
( )=:@0.414308:0.391383:0.448407:0.391383:0.448407:0.374886:0.414308:0.374886:0.000000:0.000000:0.000000:0.000000
x:@0.451894:0.391499:0.459369:0.391499:0.459369:0.375030:0.451894:0.375030:0.000000
2:@0.460578:0.383348:0.465495:0.383348:0.465495:0.373799:0.460578:0.373799:0.000000
+ +:@0.468954:0.392020:0.502822:0.392020:0.502822:0.375739:0.468954:0.375739:0.000000:0.000000:0.000000
x:@0.482401:0.391499:0.489876:0.391499:0.489876:0.375030:0.482401:0.375030:0.000000
1=:@0.503766:0.391383:0.524110:0.391383:0.524110:0.374886:0.503766:0.374886:0.000000:0.000000
x:@0.535072:0.391499:0.542547:0.391499:0.542547:0.375030:0.535072:0.375030:0.000000
+:@0.544917:0.392020:0.555494:0.392020:0.555494:0.375739:0.544917:0.375739:0.000000
1:@0.559366:0.382549:0.567862:0.382549:0.567862:0.366051:0.559366:0.366051:0.000000
2:@0.558730:0.402748:0.567226:0.402748:0.567226:0.386250:0.558730:0.386250:0.000000
2:@0.576903:0.372111:0.581821:0.372111:0.581821:0.362562:0.576903:0.362562:0.000000
+:@0.585279:0.392020:0.595856:0.392020:0.595856:0.375739:0.585279:0.375739:0.000000
3:@0.599516:0.382549:0.608012:0.382549:0.608012:0.366051:0.599516:0.366051:0.000000
4:@0.599516:0.402748:0.608012:0.402748:0.608012:0.386250:0.599516:0.386250:0.000000
x:@0.622292:0.391499:0.629767:0.391499:0.629767:0.375030:0.622292:0.375030:0.000000
,:@0.666477:0.391383:0.669231:0.391383:0.669231:0.374886:0.666477:0.374886:0.000000
y dado que :@0.675317:0.393263:0.757597:0.393263:0.757597:0.376765:0.675317:0.376765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.768293:0.392756:0.775767:0.392756:0.775767:0.376288:0.768293:0.376288:0.000000
+:@0.778137:0.393277:0.788714:0.393277:0.788714:0.376996:0.778137:0.376996:0.000000
1:@0.792586:0.383806:0.801082:0.383806:0.801082:0.367309:0.792586:0.367309:0.000000
2:@0.791950:0.404005:0.800446:0.404005:0.800446:0.387508:0.791950:0.387508:0.000000
2:@0.810122:0.373368:0.815039:0.373368:0.815039:0.363820:0.810122:0.363820:0.000000
0   :@0.833314:0.392641:0.852270:0.393263:0.852270:0.376765:0.833314:0.376143:0.000000:0.000000:0.000000:0.000000
∀:@0.404238:0.431536:0.417974:0.431536:0.417974:0.412696:0.404238:0.412696:0.000000
x:@0.417588:0.431102:0.425063:0.431102:0.425063:0.414633:0.417588:0.414633:0.000000
  :@0.424678:0.430770:0.461436:0.430770:0.461436:0.416123:0.424678:0.416123:0.000000:0.000000:0.000000
R:@0.440341:0.430018:0.454250:0.430018:0.454250:0.416571:0.440341:0.416571:0.000000
, entonces :@0.453865:0.430987:0.529903:0.430987:0.529903:0.414489:0.453865:0.414489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.533000:0.429219:0.555418:0.429219:0.555418:0.412751:0.533000:0.412751:0.000000:0.000000:0.000000
( )=:@0.540500:0.429104:0.576376:0.429104:0.576376:0.412606:0.540500:0.412606:0.000000:0.000000:0.000000:0.000000
x:@0.587909:0.429219:0.595774:0.429219:0.595774:0.412751:0.587909:0.412751:0.000000
+:@0.598267:0.429740:0.609395:0.429740:0.609395:0.413459:0.598267:0.413459:0.000000
1:@0.613469:0.420269:0.622408:0.420269:0.622408:0.403772:0.613469:0.403772:0.000000
2:@0.612800:0.440468:0.621739:0.440468:0.621739:0.423971:0.612800:0.423971:0.000000
2:@0.631923:0.409830:0.637097:0.409830:0.637097:0.400281:0.631923:0.400281:0.000000
+:@0.640735:0.429740:0.651863:0.429740:0.651863:0.413459:0.640735:0.413459:0.000000
3:@0.655714:0.420269:0.664653:0.420269:0.664653:0.403772:0.655714:0.403772:0.000000
4:@0.655714:0.440468:0.664653:0.440468:0.664653:0.423971:0.655714:0.423971:0.000000
3:@0.685293:0.420264:0.694232:0.420264:0.694232:0.403766:0.685293:0.403766:0.000000
4:@0.685293:0.440463:0.694232:0.440463:0.694232:0.423965:0.685293:0.423965:0.000000
 ,  :@0.700397:0.430982:0.715578:0.430982:0.715578:0.414484:0.700397:0.414484:0.000000:0.000000:0.000000:0.000000
∀:@0.715578:0.431531:0.729314:0.431531:0.729314:0.412691:0.715578:0.412691:0.000000
x:@0.728929:0.431098:0.736404:0.431098:0.736404:0.414629:0.728929:0.414629:0.000000
:@0.736018:0.430765:0.752066:0.430765:0.752066:0.416118:0.736018:0.416118:0.000000
R:@0.751681:0.430013:0.765590:0.430013:0.765590:0.416566:0.751681:0.416566:0.000000
, y se sigue que :@0.765205:0.430982:0.872761:0.430982:0.872761:0.414484:0.765205:0.414484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rec f:@0.404235:0.456290:0.441613:0.456290:0.441613:0.439821:0.404235:0.439821:0.000000:0.000000:0.000000:0.000000:0.000000
( )=:@0.428205:0.456175:0.463518:0.456175:0.463518:0.439677:0.428205:0.439677:0.000000:0.000000:0.000000:0.000000
3:@0.474122:0.447334:0.482618:0.447334:0.482618:0.430837:0.474122:0.430837:0.000000
4:@0.474122:0.467529:0.482618:0.467529:0.482618:0.451032:0.474122:0.451032:0.000000
,:@0.486531:0.456175:0.489286:0.456175:0.489286:0.439677:0.486531:0.439677:0.000000
.:@0.511135:0.456175:0.513890:0.456175:0.513890:0.439677:0.511135:0.439677:0.000000
 :@0.404234:0.626281:0.408376:0.626281:0.408376:0.609784:0.404234:0.609784:0.000000
  En la figura se muestra la gráfica de   . Esta es una parábola que se :@0.427688:0.626281:0.895970:0.626281:0.895970:0.609784:0.427688:0.609784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.680877:0.626397:0.685173:0.626397:0.685173:0.609928:0.680877:0.609928:0.000000
abre hacia arriba (  = 1) y su vértice es el punto :@0.427680:0.654317:0.767095:0.654317:0.767095:0.637820:0.427680:0.637820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.554098:0.654433:0.563076:0.654433:0.563076:0.637964:0.554098:0.637964:0.000000
1 3:@0.788858:0.643804:0.814777:0.643811:0.814777:0.627313:0.788858:0.627306:0.000000:0.000000:0.000000
2 4:@0.788222:0.664003:0.814777:0.664010:0.814777:0.647513:0.788222:0.647506:0.000000:0.000000:0.000000
,:@0.800636:0.652645:0.803391:0.652645:0.803391:0.636148:0.800636:0.636148:0.000000
.:@0.828442:0.654319:0.831197:0.654319:0.831197:0.637821:0.828442:0.637821:0.000000
  Obsérvese que :@0.462017:0.699171:0.571998:0.699171:0.571998:0.682673:0.462017:0.682673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.576613:0.697608:0.580909:0.697608:0.580909:0.681139:0.576613:0.681139:0.000000
3:@0.605302:0.688652:0.613798:0.688652:0.613798:0.672154:0.605302:0.672154:0.000000
2:@0.605090:0.708851:0.613586:0.708851:0.613586:0.692354:0.605090:0.692354:0.000000
=:@0.625666:0.697492:0.636474:0.697492:0.636474:0.680994:0.625666:0.680994:0.000000
f:@0.642369:0.697608:0.646665:0.697608:0.646665:0.681139:0.642369:0.681139:0.000000
1:@0.660112:0.688658:0.668608:0.688658:0.668608:0.672160:0.660112:0.672160:0.000000
2:@0.659477:0.708857:0.667973:0.708857:0.667973:0.692359:0.659477:0.692359:0.000000
= ,:@0.680059:0.697492:0.710298:0.697492:0.710298:0.680994:0.680059:0.680994:0.000000:0.000000:0.000000
7:@0.694932:0.688658:0.703428:0.688658:0.703428:0.672160:0.694932:0.672160:0.000000
4:@0.695144:0.708857:0.703640:0.708857:0.703640:0.692359:0.695144:0.692359:0.000000
f:@0.723707:0.698027:0.728003:0.698027:0.728003:0.681558:0.723707:0.681558:0.000000
5:@0.752185:0.689077:0.760681:0.689077:0.760681:0.672579:0.752185:0.672579:0.000000
2:@0.752185:0.709276:0.760681:0.709276:0.760681:0.692779:0.752185:0.692779:0.000000
=:@0.772759:0.697917:0.783567:0.697917:0.783567:0.681419:0.772759:0.681419:0.000000
f:@0.789462:0.698033:0.793758:0.698033:0.793758:0.681564:0.789462:0.681564:0.000000
3:@0.806781:0.689083:0.815277:0.689083:0.815277:0.672585:0.806781:0.672585:0.000000
2:@0.806569:0.709282:0.815065:0.709282:0.815065:0.692784:0.806569:0.692784:0.000000
=:@0.827152:0.697917:0.837960:0.697917:0.837960:0.681419:0.827152:0.681419:0.000000
19:@0.841023:0.689083:0.857938:0.689083:0.857938:0.672585:0.841023:0.672585:0.000000:0.000000
4:@0.845839:0.709282:0.854335:0.709282:0.854335:0.692784:0.845839:0.692784:0.000000
,:@0.861860:0.697917:0.864615:0.697917:0.864615:0.681419:0.861860:0.681419:0.000000
  :@0.875147:0.699166:0.883431:0.699166:0.883431:0.682668:0.875147:0.682668:0.000000:0.000000
y en general :@0.462004:0.736889:0.550930:0.736889:0.550930:0.720392:0.462004:0.720392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.557234:0.735327:0.581470:0.735327:0.581470:0.718858:0.557234:0.718858:0.000000:0.000000:0.000000
0:@0.582363:0.737430:0.587280:0.737430:0.587280:0.727881:0.582363:0.727881:0.000000
1:@0.605607:0.726371:0.614103:0.726371:0.614103:0.709873:0.605607:0.709873:0.000000
2:@0.604971:0.746570:0.613467:0.746570:0.613467:0.730073:0.604971:0.730073:0.000000
=:@0.625552:0.735211:0.636360:0.735211:0.636360:0.718713:0.625552:0.718713:0.000000
x:@0.639847:0.735327:0.647322:0.735327:0.647322:0.718858:0.639847:0.718858:0.000000
0:@0.648221:0.737430:0.653139:0.737430:0.653139:0.727881:0.648221:0.727881:0.000000
2:@0.648534:0.727178:0.653451:0.727178:0.653451:0.717629:0.648534:0.717629:0.000000
+:@0.656911:0.735847:0.667488:0.735847:0.667488:0.719567:0.656911:0.719567:0.000000
3:@0.671148:0.726377:0.679644:0.726377:0.679644:0.709879:0.671148:0.709879:0.000000
4:@0.671148:0.746576:0.679644:0.746576:0.679644:0.730078:0.671148:0.730078:0.000000
,:@0.683557:0.735211:0.686312:0.735211:0.686312:0.718713:0.683557:0.718713:0.000000
f:@0.699336:0.736353:0.703632:0.736353:0.703632:0.719885:0.699336:0.719885:0.000000
x:@0.726462:0.736359:0.733937:0.736359:0.733937:0.719890:0.726462:0.719890:0.000000
0:@0.734838:0.738462:0.739756:0.738462:0.739756:0.728913:0.734838:0.728913:0.000000
1:@0.758082:0.727403:0.766578:0.727403:0.766578:0.710906:0.758082:0.710906:0.000000
2:@0.757446:0.747602:0.765942:0.747602:0.765942:0.731105:0.757446:0.731105:0.000000
=:@0.778027:0.736243:0.788835:0.736243:0.788835:0.719746:0.778027:0.719746:0.000000
x:@0.792322:0.736359:0.799797:0.736359:0.799797:0.719890:0.792322:0.719890:0.000000
0:@0.800695:0.738462:0.805613:0.738462:0.805613:0.728913:0.800695:0.728913:0.000000
2:@0.801007:0.728211:0.805925:0.728211:0.805925:0.718662:0.801007:0.718662:0.000000
+:@0.809386:0.736880:0.819963:0.736880:0.819963:0.720599:0.809386:0.720599:0.000000
3:@0.823623:0.727409:0.832119:0.727409:0.832119:0.710911:0.823623:0.710911:0.000000
4:@0.823623:0.747608:0.832119:0.747608:0.832119:0.731110:0.823623:0.731110:0.000000
.:@0.835300:0.736243:0.838055:0.736243:0.838055:0.719746:0.835300:0.719746:0.000000
 Luego,  :@0.840007:0.736884:0.895086:0.736884:0.895086:0.720387:0.840007:0.720387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.462003:0.774608:0.466145:0.774608:0.466145:0.758110:0.462003:0.758110:0.000000
f:@0.556150:0.774303:0.560446:0.774303:0.560446:0.757834:0.556150:0.757834:0.000000
x:@0.583269:0.774303:0.590744:0.774303:0.590744:0.757834:0.583269:0.757834:0.000000
0:@0.591645:0.776406:0.596563:0.776406:0.596563:0.766858:0.591645:0.766858:0.000000
1:@0.614889:0.765347:0.623385:0.765347:0.623385:0.748850:0.614889:0.748850:0.000000
2:@0.614253:0.785547:0.622749:0.785547:0.622749:0.769049:0.614253:0.769049:0.000000
=:@0.634835:0.774187:0.645642:0.774187:0.645642:0.757690:0.634835:0.757690:0.000000
x:@0.649129:0.774303:0.656604:0.774303:0.656604:0.757834:0.649129:0.757834:0.000000
0:@0.657502:0.776406:0.662420:0.776406:0.662420:0.766858:0.657502:0.766858:0.000000
2:@0.657815:0.766155:0.662732:0.766155:0.662732:0.756606:0.657815:0.756606:0.000000
+:@0.666193:0.774824:0.676770:0.774824:0.676770:0.758543:0.666193:0.758543:0.000000
3:@0.680430:0.765353:0.688926:0.765353:0.688926:0.748855:0.680430:0.748855:0.000000
4:@0.680430:0.785552:0.688926:0.785552:0.688926:0.769055:0.680430:0.769055:0.000000
f x:@0.469098:0.774859:0.493334:0.774859:0.493334:0.758390:0.469098:0.758390:0.000000:0.000000:0.000000
0:@0.494227:0.776962:0.499144:0.776962:0.499144:0.767413:0.494227:0.767413:0.000000
1:@0.517471:0.765903:0.525967:0.765903:0.525967:0.749405:0.517471:0.749405:0.000000
2:@0.516835:0.786102:0.525331:0.786102:0.525331:0.769605:0.516835:0.769605:0.000000
=:@0.537416:0.774743:0.548224:0.774743:0.548224:0.758246:0.537416:0.758246:0.000000
,   :@0.693140:0.774603:0.708321:0.774603:0.708321:0.758106:0.693140:0.758106:0.000000:0.000000:0.000000:0.000000
x:@0.708321:0.774719:0.715796:0.774719:0.715796:0.758250:0.708321:0.758250:0.000000
0:@0.715796:0.777338:0.720092:0.777338:0.720092:0.768571:0.715796:0.768571:0.000000
:@0.720093:0.774387:0.736141:0.774387:0.736141:0.759740:0.720093:0.759740:0.000000
R:@0.736141:0.773635:0.750050:0.773635:0.750050:0.760188:0.736141:0.760188:0.000000
.:@0.750050:0.774604:0.752805:0.774604:0.752805:0.758106:0.750050:0.758106:0.000000
Se tiene :@0.462015:0.821971:0.524126:0.821971:0.524126:0.805474:0.462015:0.805474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.528859:0.812709:0.537355:0.812709:0.537355:0.796211:0.528859:0.796211:0.000000
4:@0.528859:0.832908:0.537355:0.832908:0.537355:0.816410:0.528859:0.816410:0.000000
=:@0.541894:0.821549:0.552702:0.821549:0.552702:0.805051:0.541894:0.805051:0.000000
f:@0.558597:0.821664:0.562893:0.821664:0.562893:0.805196:0.558597:0.805196:0.000000
1:@0.587702:0.812709:0.596198:0.812709:0.596198:0.796211:0.587702:0.796211:0.000000
2:@0.587066:0.832908:0.595562:0.832908:0.595562:0.816410:0.587066:0.816410:0.000000
=mín:@0.607647:0.821549:0.648836:0.821549:0.648836:0.805051:0.607647:0.805051:0.000000:0.000000:0.000000:0.000000
x:@0.649371:0.823835:0.653697:0.823835:0.653697:0.814303:0.649371:0.814303:0.000000
f x:@0.674499:0.821664:0.695807:0.821664:0.695807:0.805196:0.674499:0.805196:0.000000:0.000000:0.000000
( ).:@0.681627:0.821549:0.704592:0.821549:0.704592:0.805051:0.681627:0.805051:0.000000:0.000000:0.000000:0.000000
 = mín   ( ). Por otro lado, la función   :@0.606739:0.821965:0.895947:0.821965:0.895947:0.805467:0.606739:0.805467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.664092:0.822081:0.687884:0.822081:0.687884:0.805612:0.664092:0.805612:0.000000:0.000000:0.000000
f:@0.887509:0.822081:0.891805:0.822081:0.891805:0.805612:0.887509:0.805612:0.000000
es estrictamente decreciente sobre el intervalo :@0.462019:0.853399:0.810639:0.853399:0.810639:0.836901:0.462019:0.836901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.845870:0.853067:0.848625:0.853067:0.848625:0.836569:0.845870:0.836569:0.000000
1:@0.863093:0.844225:0.871589:0.844225:0.871589:0.827728:0.863093:0.827728:0.000000
2:@0.862457:0.864425:0.870953:0.864425:0.870953:0.847927:0.862457:0.847927:0.000000
y :@0.883946:0.853397:0.895910:0.853397:0.895910:0.836900:0.883946:0.836900:0.000000:0.000000
 :@0.891768:0.853397:0.895910:0.853397:0.895910:0.836900:0.891768:0.836900:0.000000
estrictamente creciente sobre el intervalo :@0.462018:0.884831:0.751087:0.884831:0.751087:0.868334:0.462018:0.868334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.773271:0.875658:0.781767:0.875658:0.781767:0.859160:0.773271:0.859160:0.000000
2:@0.772636:0.895857:0.781132:0.895857:0.781132:0.879359:0.772636:0.879359:0.000000
,:@0.785050:0.884499:0.787805:0.884499:0.787805:0.868002:0.785050:0.868002:0.000000
.:@0.809654:0.884499:0.812409:0.884499:0.812409:0.868002:0.809654:0.868002:0.000000
En efecto, sean :@0.462010:0.918739:0.571204:0.918739:0.571204:0.902241:0.462010:0.902241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.575035:0.918523:0.604443:0.918523:0.604443:0.902054:0.575035:0.902054:0.000000:0.000000:0.000000
1:@0.582731:0.920626:0.587649:0.920626:0.587649:0.911078:0.582731:0.911078:0.000000
,:@0.589590:0.918407:0.592345:0.918407:0.592345:0.901910:0.589590:0.901910:0.000000
2:@0.605138:0.920626:0.610055:0.920626:0.610055:0.911078:0.605138:0.911078:0.000000
,:@0.663352:0.918407:0.666107:0.918407:0.666107:0.901910:0.663352:0.901910:0.000000
1:@0.680575:0.909567:0.689071:0.909567:0.689071:0.893070:0.680575:0.893070:0.000000
2:@0.679940:0.929767:0.688436:0.929767:0.688436:0.913269:0.679940:0.913269:0.000000
 con  < :@0.699445:0.918739:0.761402:0.918739:0.761402:0.902241:0.699445:0.902241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x .:@0.734681:0.918855:0.778230:0.918855:0.778230:0.902386:0.734681:0.902386:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.742155:0.921472:0.746452:0.921472:0.746452:0.912706:0.742155:0.912706:0.000000
2 :@0.768877:0.921472:0.775379:0.921472:0.775379:0.912706:0.768877:0.912706:0.000000:0.000000
x:@0.634677:0.831957:0.640657:0.831957:0.640657:0.818782:0.634677:0.818782:0.000000
:@0.640657:0.831691:0.653495:0.831691:0.653495:0.819973:0.640657:0.819973:0.000000
R:@0.653495:0.831089:0.664623:0.831089:0.664623:0.820332:0.653495:0.820332:0.000000