207:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.608443:0.043660:0.931638:0.043660:0.931638:0.024915:0.608443:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 1 (Ev. 2) Propone y justifica diferentes estrategias para resolver problemas con números naturales en contextos escolares y extraescolares.:@0.083341:0.971338:0.828444:0.971338:0.828444:0.959911:0.083341:0.959911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.223345:0.134363:0.231146:0.134363:0.233280:0.121270:0.225478:0.121270:0.000000
( )   {    [ ,  ] |             …        }.:@0.231512:0.135050:0.555646:0.135050:0.555646:0.119337:0.231512:0.119337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.236317:0.135050:0.245815:0.135050:0.245815:0.119614:0.236317:0.119614:0.000000
5:@0.254484:0.134495:0.269818:0.134495:0.269818:0.120779:0.254484:0.120779:0.000000
x:@0.278469:0.135050:0.285924:0.135050:0.285924:0.119614:0.278469:0.119614:0.000000
j:@0.285865:0.138222:0.287980:0.138222:0.287980:0.129223:0.285865:0.129223:0.000000
[:@0.291891:0.134760:0.306528:0.134760:0.306528:0.121350:0.291891:0.121350:0.000000
a b x:@0.315183:0.135050:0.364588:0.135050:0.364588:0.119614:0.315183:0.119614:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.364553:0.138222:0.369790:0.138222:0.369790:0.129062:0.364553:0.129062:0.000000
5 ,:@0.373702:0.134495:0.421376:0.134495:0.421376:0.120779:0.373702:0.120779:0.000000:0.000000:0.000000
a:@0.392900:0.135050:0.402159:0.135050:0.402159:0.119614:0.392900:0.119614:0.000000
x:@0.425242:0.135050:0.432697:0.135050:0.432697:0.119614:0.425242:0.119614:0.000000
1:@0.432608:0.138222:0.437845:0.138222:0.437845:0.129062:0.432608:0.129062:0.000000
,:@0.441757:0.134495:0.457090:0.134495:0.457090:0.120779:0.441757:0.120779:0.000000
,:@0.483228:0.134495:0.498561:0.134495:0.498561:0.120779:0.483228:0.120779:0.000000
x:@0.502427:0.135050:0.509882:0.135050:0.509882:0.119614:0.502427:0.119614:0.000000
n:@0.509798:0.138222:0.515336:0.138222:0.515336:0.129223:0.509798:0.129223:0.000000
5:@0.519254:0.134495:0.534588:0.134495:0.534588:0.120779:0.519254:0.120779:0.000000
b:@0.538453:0.135050:0.547712:0.135050:0.547712:0.119614:0.538453:0.119614:0.000000
En la Figura 1.3. se muestra una partición  ( ) del intervalo [ ,  ].:@0.073099:0.176557:0.535173:0.176560:0.535173:0.160847:0.073099:0.160845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.371448:0.175873:0.379249:0.175873:0.381383:0.162780:0.373582:0.162780:0.000000
n:@0.384418:0.176560:0.393916:0.176560:0.393916:0.161124:0.384418:0.161124:0.000000
a b:@0.501727:0.176560:0.527240:0.176560:0.527240:0.161124:0.501727:0.161124:0.000000:0.000000:0.000000
x:@0.174962:0.210902:0.181061:0.210902:0.181061:0.198274:0.174962:0.198274:0.000000
₀ :@0.181061:0.210902:0.189028:0.210902:0.189028:0.197457:0.181061:0.197457:0.000000:0.000000
5 :@0.189028:0.210449:0.205339:0.210449:0.205339:0.199227:0.189028:0.199227:0.000000:0.000000
a:@0.205339:0.210902:0.212914:0.210902:0.212914:0.198274:0.205339:0.198274:0.000000
x:@0.263984:0.210902:0.270084:0.210902:0.270084:0.198274:0.263984:0.198274:0.000000
₁:@0.270084:0.210902:0.273246:0.210902:0.273246:0.197457:0.270084:0.197457:0.000000
x:@0.300747:0.210902:0.306846:0.210902:0.306846:0.198274:0.300747:0.198274:0.000000
₂:@0.306846:0.210902:0.311154:0.210902:0.311154:0.197457:0.306846:0.197457:0.000000
x:@0.375477:0.210902:0.381577:0.210902:0.381577:0.198274:0.375477:0.198274:0.000000
₃:@0.381577:0.210902:0.385778:0.210902:0.385778:0.197457:0.381577:0.197457:0.000000
x:@0.412511:0.210902:0.418610:0.210902:0.418610:0.198274:0.412511:0.198274:0.000000
₄:@0.418610:0.210902:0.423415:0.210902:0.423415:0.197457:0.418610:0.197457:0.000000
x:@0.450117:0.210902:0.456216:0.210902:0.456216:0.198274:0.450117:0.198274:0.000000
₅:@0.456216:0.210902:0.460493:0.210902:0.460493:0.197457:0.456216:0.197457:0.000000
x:@0.524576:0.210902:0.530675:0.210902:0.530675:0.198274:0.524576:0.198274:0.000000
₆:@0.530675:0.210902:0.535389:0.210902:0.535389:0.197457:0.530675:0.197457:0.000000
b:@0.548417:0.210902:0.555992:0.210902:0.555992:0.198274:0.548417:0.198274:0.000000
 :@0.555992:0.210902:0.559290:0.210902:0.559290:0.197457:0.555992:0.197457:0.000000
5 :@0.559290:0.210449:0.575601:0.210449:0.575601:0.199227:0.559290:0.199227:0.000000:0.000000
x:@0.575601:0.210902:0.581700:0.210902:0.581700:0.198274:0.575601:0.198274:0.000000
n:@0.581715:0.213498:0.586246:0.213498:0.586246:0.206135:0.581715:0.206135:0.000000
  :@0.605921:0.218070:0.613983:0.218070:0.613983:0.202357:0.605921:0.202357:0.000000:0.000000
Figura 1.3.:@0.523834:0.235405:0.577490:0.235405:0.577490:0.223978:0.523834:0.223978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los   subintervalos son:  [ ,  ], [ ,  ], …, [:@0.073089:0.277861:0.397708:0.277861:0.397708:0.262148:0.073089:0.262148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.102927:0.277861:0.112425:0.277861:0.112425:0.262425:0.102927:0.262425:0.000000
x x:@0.266844:0.277861:0.295370:0.277861:0.295370:0.262425:0.266844:0.262425:0.000000:0.000000:0.000000
0:@0.274363:0.281033:0.279599:0.281033:0.279599:0.271872:0.274363:0.271872:0.000000
1:@0.295444:0.281033:0.300681:0.281033:0.300681:0.271872:0.295444:0.271872:0.000000
x x:@0.318938:0.277861:0.347470:0.277861:0.347470:0.262425:0.318938:0.262425:0.000000:0.000000:0.000000
1:@0.326460:0.281033:0.331697:0.281033:0.331697:0.271872:0.326460:0.271872:0.000000
2:@0.347542:0.281033:0.352778:0.281033:0.352778:0.271872:0.347542:0.271872:0.000000
x:@0.397782:0.277861:0.405237:0.277861:0.405237:0.262425:0.397782:0.262425:0.000000
n:@0.405319:0.281033:0.410856:0.281033:0.410856:0.272034:0.405319:0.272034:0.000000
2:@0.410899:0.277306:0.426233:0.277306:0.426233:0.263590:0.410899:0.263590:0.000000
1:@0.426335:0.281033:0.431571:0.281033:0.431571:0.271872:0.426335:0.271872:0.000000
,  ], que abreviadamente escribimos :@0.431624:0.277861:0.710429:0.277861:0.710429:0.262148:0.431624:0.262148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.439889:0.277861:0.447344:0.277861:0.447344:0.262425:0.439889:0.262425:0.000000
n:@0.447416:0.281033:0.452953:0.281033:0.452953:0.272034:0.447416:0.272034:0.000000
[:@0.073089:0.296139:0.077967:0.296139:0.077967:0.280426:0.073089:0.280426:0.000000
x:@0.077894:0.296139:0.085349:0.296139:0.085349:0.280704:0.077894:0.280704:0.000000
j:@0.085275:0.299314:0.087389:0.299314:0.087389:0.290315:0.085275:0.290315:0.000000
2:@0.087350:0.295587:0.102683:0.295587:0.102683:0.281871:0.087350:0.281871:0.000000
1:@0.102591:0.299314:0.107828:0.299314:0.107828:0.290153:0.102591:0.290153:0.000000
,  ],     1, …,  , lo cual se lee “intervalo cerrado [:@0.107781:0.296141:0.458219:0.296141:0.458219:0.280429:0.107781:0.280429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x j:@0.115254:0.296141:0.140624:0.296141:0.140624:0.280706:0.115254:0.280706:0.000000:0.000000:0.000000
j:@0.122645:0.299314:0.124759:0.299314:0.124759:0.290315:0.122645:0.290315:0.000000
5:@0.144913:0.295587:0.160247:0.295587:0.160247:0.281871:0.144913:0.281871:0.000000
n:@0.206688:0.296141:0.216186:0.296141:0.216186:0.280706:0.206688:0.280706:0.000000
x:@0.457965:0.296141:0.465420:0.296141:0.465420:0.280706:0.457965:0.280706:0.000000
j:@0.465353:0.299314:0.467467:0.299314:0.467467:0.290315:0.465353:0.290315:0.000000
2:@0.467430:0.295587:0.482763:0.295587:0.482763:0.281871:0.467430:0.281871:0.000000
1:@0.482669:0.299314:0.487906:0.299314:0.487906:0.290153:0.482669:0.290153:0.000000
,  ] con   que varía de 1 a  ”. El :@0.487860:0.296141:0.710355:0.296141:0.710355:0.280429:0.487860:0.280429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.495333:0.296141:0.502788:0.296141:0.502788:0.280706:0.495333:0.280706:0.000000
j:@0.502725:0.299314:0.504839:0.299314:0.504839:0.290315:0.502725:0.290315:0.000000
j:@0.545921:0.296141:0.549548:0.296141:0.549548:0.280706:0.545921:0.280706:0.000000
n:@0.674018:0.296141:0.683516:0.296141:0.683516:0.280706:0.674018:0.280706:0.000000
intervalo [:@0.073058:0.314420:0.146158:0.314420:0.146158:0.298707:0.073058:0.298707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.146024:0.314420:0.153479:0.314420:0.153479:0.298984:0.146024:0.298984:0.000000
j:@0.153445:0.317595:0.155560:0.317595:0.155560:0.308596:0.153445:0.308596:0.000000
2:@0.155520:0.313868:0.170854:0.313868:0.170854:0.300152:0.155520:0.300152:0.000000
1:@0.170762:0.317595:0.175998:0.317595:0.175998:0.308434:0.170762:0.308434:0.000000
,  ] se llama j-ésimo intervalo de [ ,  ]. Las longitudes de cada uno de los :@0.175952:0.314422:0.710560:0.314422:0.710560:0.298710:0.175952:0.298710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.183407:0.314422:0.190862:0.314422:0.190862:0.298987:0.183407:0.298987:0.000000
j:@0.190787:0.317595:0.192901:0.317595:0.192901:0.308596:0.190787:0.308596:0.000000
a b:@0.419586:0.314422:0.445485:0.314422:0.445485:0.298987:0.419586:0.298987:0.000000:0.000000:0.000000
intervalos son::@0.073088:0.332701:0.177241:0.332701:0.177241:0.316988:0.073088:0.316988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.225113:0.376358:0.234611:0.376358:0.234611:0.360922:0.225113:0.360922:0.000000
1:@0.234551:0.379530:0.239788:0.379530:0.239788:0.370369:0.234551:0.370369:0.000000
        ,           , …,  :@0.239742:0.376358:0.444805:0.376358:0.444805:0.360645:0.239742:0.360645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.243699:0.375803:0.259033:0.375803:0.259033:0.362087:0.243699:0.362087:0.000000
x:@0.262898:0.376358:0.270353:0.376358:0.270353:0.360922:0.262898:0.360922:0.000000
1:@0.270271:0.379530:0.275508:0.379530:0.275508:0.370369:0.270271:0.370369:0.000000
2:@0.279420:0.375803:0.294753:0.375803:0.294753:0.362087:0.279420:0.362087:0.000000
x h:@0.298618:0.376358:0.331706:0.376358:0.331706:0.360922:0.298618:0.360922:0.000000:0.000000:0.000000
0:@0.305993:0.379530:0.311230:0.379530:0.311230:0.370369:0.305993:0.370369:0.000000
2:@0.331638:0.379530:0.336874:0.379530:0.336874:0.370369:0.331638:0.370369:0.000000
5:@0.340784:0.375803:0.356118:0.375803:0.356118:0.362087:0.340784:0.362087:0.000000
x:@0.359983:0.376358:0.367438:0.376358:0.367438:0.360922:0.359983:0.360922:0.000000
2:@0.367358:0.379530:0.372595:0.379530:0.372595:0.370369:0.367358:0.370369:0.000000
2:@0.376504:0.375803:0.391838:0.375803:0.391838:0.362087:0.376504:0.362087:0.000000
x:@0.395703:0.376358:0.403158:0.376358:0.403158:0.360922:0.395703:0.360922:0.000000
1:@0.403078:0.379530:0.408315:0.379530:0.408315:0.370369:0.403078:0.370369:0.000000
h:@0.444695:0.376358:0.454193:0.376358:0.454193:0.360922:0.444695:0.360922:0.000000
n:@0.454121:0.379530:0.459659:0.379530:0.459659:0.370531:0.454121:0.370531:0.000000
 :@0.459616:0.379530:0.461966:0.379530:0.461966:0.370369:0.459616:0.370369:0.000000
5:@0.461924:0.375803:0.477257:0.375803:0.477257:0.362087:0.461924:0.362087:0.000000
     :@0.477165:0.376358:0.517233:0.376358:0.517233:0.360645:0.477165:0.360645:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.481123:0.376358:0.488578:0.376358:0.488578:0.360922:0.481123:0.360922:0.000000
n:@0.488504:0.379530:0.494042:0.379530:0.494042:0.370531:0.488504:0.370531:0.000000
2 2:@0.497961:0.375803:0.545364:0.375803:0.545364:0.362087:0.497961:0.362087:0.000000:0.000000:0.000000
x:@0.517159:0.376358:0.524614:0.376358:0.524614:0.360922:0.517159:0.360922:0.000000
n:@0.524534:0.379530:0.530071:0.379530:0.530071:0.370531:0.524534:0.370531:0.000000
1:@0.545272:0.379530:0.550509:0.379530:0.550509:0.370369:0.545272:0.370369:0.000000
,:@0.551107:0.376358:0.554310:0.376358:0.554310:0.360645:0.551107:0.360645:0.000000
que  abreviadamente  escribimos :@0.073089:0.420015:0.346071:0.420015:0.346071:0.404302:0.073089:0.404302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.351315:0.420015:0.360813:0.420015:0.360813:0.404579:0.351315:0.404579:0.000000
j:@0.361481:0.423185:0.363595:0.423185:0.363595:0.414186:0.361481:0.414186:0.000000
 :@0.363992:0.423185:0.366342:0.423185:0.366342:0.414024:0.363992:0.414024:0.000000
5:@0.369458:0.419457:0.384791:0.419457:0.384791:0.405742:0.369458:0.405742:0.000000
   :@0.385730:0.420012:0.409780:0.420012:0.409780:0.404299:0.385730:0.404299:0.000000:0.000000:0.000000
x:@0.395099:0.420012:0.402554:0.420012:0.402554:0.404577:0.395099:0.404577:0.000000
j:@0.403240:0.423185:0.405354:0.423185:0.405354:0.414186:0.403240:0.414186:0.000000
2:@0.415118:0.419457:0.430451:0.419457:0.430451:0.405742:0.415118:0.405742:0.000000
 :@0.431390:0.420012:0.435421:0.420012:0.435421:0.404299:0.431390:0.404299:0.000000
x:@0.440759:0.420012:0.448214:0.420012:0.448214:0.404577:0.440759:0.404577:0.000000
j:@0.448910:0.423185:0.451024:0.423185:0.451024:0.414186:0.448910:0.414186:0.000000
2:@0.451419:0.419457:0.466752:0.419457:0.466752:0.405742:0.451419:0.405742:0.000000
1:@0.467692:0.423185:0.472929:0.423185:0.472929:0.414024:0.467692:0.414024:0.000000
,     :@0.474053:0.420012:0.505180:0.420012:0.505180:0.404299:0.474053:0.404299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.496841:0.420012:0.500467:0.420012:0.500467:0.404577:0.496841:0.404577:0.000000
5:@0.510518:0.419457:0.525851:0.419457:0.525851:0.405742:0.510518:0.405742:0.000000
  1,  …,  ,  que  se  lee :@0.526790:0.420012:0.710365:0.420012:0.710365:0.404299:0.526790:0.404299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.592007:0.420012:0.601505:0.420012:0.601505:0.404577:0.592007:0.404577:0.000000
“:@0.073088:0.438290:0.078481:0.438290:0.078481:0.422578:0.073088:0.422578:0.000000
h:@0.078407:0.438290:0.087906:0.438290:0.087906:0.422855:0.078407:0.422855:0.000000
j:@0.087833:0.441465:0.089947:0.441465:0.089947:0.432467:0.087833:0.432467:0.000000
 :@0.089904:0.441465:0.092254:0.441465:0.092254:0.432305:0.089904:0.432305:0.000000
5 2 2:@0.092212:0.437738:0.168807:0.437738:0.168807:0.424023:0.092212:0.424023:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.107453:0.438293:0.144097:0.438293:0.144097:0.422580:0.107453:0.422580:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.111410:0.438293:0.118865:0.438293:0.118865:0.422858:0.111410:0.422858:0.000000
j:@0.118792:0.441465:0.120906:0.441465:0.120906:0.432467:0.118792:0.432467:0.000000
x:@0.144023:0.438293:0.151478:0.438293:0.151478:0.422858:0.144023:0.422858:0.000000
j:@0.151397:0.441465:0.153511:0.441465:0.153511:0.432467:0.151397:0.432467:0.000000
1:@0.168715:0.441465:0.173952:0.441465:0.173952:0.432305:0.168715:0.432305:0.000000
 con   que varía de 1 a  ”. Se tiene::@0.174548:0.438293:0.416709:0.438293:0.416709:0.422580:0.174548:0.422580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.210074:0.438293:0.213701:0.438293:0.213701:0.422858:0.210074:0.422858:0.000000
n:@0.335759:0.438293:0.345257:0.438293:0.345257:0.422858:0.335759:0.422858:0.000000
[ ,  ]   [ ,  ]   [ ,  ]   … :@0.073069:0.481950:0.285886:0.481948:0.285886:0.466235:0.073069:0.466237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.077874:0.481950:0.103386:0.481950:0.103386:0.466515:0.077874:0.466515:0.000000:0.000000:0.000000
5:@0.112056:0.481395:0.127389:0.481395:0.127389:0.467680:0.112056:0.467680:0.000000
x x:@0.136040:0.481950:0.163181:0.481948:0.163181:0.466512:0.136040:0.466515:0.000000:0.000000:0.000000
0:@0.143469:0.485120:0.148706:0.485120:0.148706:0.475959:0.143469:0.475959:0.000000
1:@0.163119:0.485120:0.168356:0.485120:0.168356:0.475959:0.163119:0.475959:0.000000
ø:@0.177054:0.481809:0.192387:0.481809:0.192387:0.467760:0.177054:0.467760:0.000000
x x:@0.201038:0.481948:0.228149:0.481948:0.228149:0.466512:0.201038:0.466512:0.000000:0.000000:0.000000
1:@0.208435:0.485120:0.213671:0.485120:0.213671:0.475959:0.208435:0.475959:0.000000
2 :@0.228087:0.485120:0.235631:0.485120:0.235631:0.475959:0.228087:0.475959:0.000000:0.000000
ø:@0.244322:0.481809:0.259655:0.481809:0.259655:0.467760:0.244322:0.467760:0.000000
ø :@0.285794:0.481809:0.305637:0.481809:0.305637:0.467760:0.285794:0.467760:0.000000:0.000000
[:@0.305545:0.481948:0.310422:0.481948:0.310422:0.466235:0.305545:0.466235:0.000000
x:@0.310349:0.481948:0.317804:0.481948:0.317804:0.466512:0.310349:0.466512:0.000000
n–:@0.317732:0.485120:0.328592:0.485120:0.328592:0.476121:0.317732:0.476121:0.000000:0.000000
1:@0.328560:0.485120:0.333797:0.485120:0.333797:0.475959:0.328560:0.475959:0.000000
,  ]   [:@0.333748:0.481948:0.386528:0.481948:0.386528:0.466235:0.333748:0.466235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.340816:0.481948:0.348271:0.481948:0.348271:0.466512:0.340816:0.466512:0.000000
n:@0.348209:0.485120:0.353747:0.485120:0.353747:0.476121:0.348209:0.476121:0.000000
5 2 2:@0.362451:0.481393:0.435630:0.481393:0.435630:0.467677:0.362451:0.467677:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.386436:0.481948:0.393891:0.481948:0.393891:0.466512:0.386436:0.466512:0.000000
j:@0.393832:0.485120:0.395947:0.485120:0.395947:0.476121:0.393832:0.476121:0.000000
1:@0.411149:0.485120:0.416385:0.485120:0.416385:0.475959:0.411149:0.475959:0.000000
    ]         [:@0.416339:0.481948:0.504215:0.481948:0.504215:0.466235:0.416339:0.466235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.439496:0.481948:0.446951:0.481948:0.446951:0.466512:0.439496:0.466512:0.000000
j:@0.446870:0.485120:0.448985:0.485120:0.448985:0.476121:0.446870:0.476121:0.000000
5:@0.457689:0.481393:0.473022:0.481393:0.473022:0.467677:0.457689:0.467677:0.000000
x:@0.504094:0.481948:0.511548:0.481948:0.511548:0.466512:0.504094:0.466512:0.000000
j:@0.511485:0.485120:0.513599:0.485120:0.513599:0.476121:0.511485:0.476121:0.000000
2 2:@0.513560:0.481393:0.553281:0.481393:0.553281:0.467677:0.513560:0.467677:0.000000:0.000000:0.000000
1:@0.528801:0.485120:0.534038:0.485120:0.534038:0.475959:0.528801:0.475959:0.000000
    ].:@0.533990:0.481948:0.574605:0.481948:0.574605:0.466235:0.533990:0.466235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.557147:0.481948:0.564602:0.481948:0.564602:0.466512:0.557147:0.466512:0.000000
j:@0.564521:0.485120:0.566635:0.485120:0.566635:0.476121:0.564521:0.476121:0.000000
Notemos que los extremos del intervalo [ ,  ] pertenecen a  ( ), esto es,  ,      ( ). :@0.073081:0.525605:0.710383:0.525602:0.710383:0.509889:0.073081:0.509892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.384992:0.525605:0.411977:0.525605:0.411977:0.510169:0.384992:0.510169:0.000000:0.000000:0.000000
t:@0.526608:0.524915:0.534409:0.524915:0.536543:0.511823:0.528741:0.511823:0.000000
n:@0.539964:0.525602:0.549462:0.525602:0.549462:0.510167:0.539964:0.510167:0.000000
a b:@0.623736:0.525602:0.650721:0.525602:0.650721:0.510167:0.623736:0.510167:0.000000:0.000000:0.000000
[:@0.655855:0.525312:0.670491:0.525312:0.670491:0.511902:0.655855:0.511902:0.000000
t:@0.675218:0.524915:0.683019:0.524915:0.685153:0.511823:0.677351:0.511823:0.000000
n:@0.688576:0.525602:0.698074:0.525602:0.698074:0.510167:0.688576:0.510167:0.000000
Además,  ( ) tiene exactamente     1 puntos distintos del intervalo [ ,  ].:@0.073093:0.543880:0.608960:0.543883:0.608960:0.528170:0.073093:0.528168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.138846:0.543196:0.146647:0.543196:0.148780:0.530104:0.140979:0.530104:0.000000
n:@0.151815:0.543883:0.161314:0.543883:0.161314:0.528448:0.151815:0.528448:0.000000
n:@0.309860:0.543883:0.319358:0.543883:0.319358:0.528448:0.309860:0.528448:0.000000
1:@0.323242:0.543328:0.338575:0.543328:0.338575:0.529613:0.323242:0.529613:0.000000
a b:@0.575514:0.543883:0.601026:0.543883:0.601026:0.528448:0.575514:0.528448:0.000000:0.000000:0.000000
Se llama partición uniforme  ( ) a la partición de [ ,  ] dada por  :@0.073051:0.587540:0.540471:0.587537:0.540471:0.571825:0.073051:0.571827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.276719:0.586850:0.284521:0.586850:0.286654:0.573758:0.278853:0.573758:0.000000
n:@0.289691:0.587537:0.299189:0.587537:0.299189:0.572102:0.289691:0.572102:0.000000
a b:@0.432568:0.587537:0.458080:0.587537:0.458080:0.572102:0.432568:0.572102:0.000000:0.000000:0.000000
x:@0.231377:0.631195:0.238832:0.631195:0.238832:0.615759:0.231377:0.615759:0.000000
j:@0.238788:0.634364:0.240902:0.634364:0.240902:0.625366:0.238788:0.625366:0.000000
        ,       0, 1, …,  , donde     :@0.240863:0.631192:0.509683:0.631192:0.509683:0.615479:0.240863:0.615479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 1:@0.244821:0.630637:0.292495:0.630637:0.292495:0.616922:0.244821:0.616922:0.000000:0.000000:0.000000
a:@0.264019:0.631192:0.273278:0.631192:0.273278:0.615757:0.264019:0.615757:0.000000
jh j:@0.296361:0.631192:0.327948:0.631192:0.327948:0.615757:0.296361:0.615757:0.000000:0.000000:0.000000:0.000000
5:@0.331832:0.630637:0.347165:0.630637:0.347165:0.616922:0.331832:0.616922:0.000000
n:@0.408369:0.631192:0.417867:0.631192:0.417867:0.615757:0.408369:0.615757:0.000000
h:@0.477028:0.631192:0.486526:0.631192:0.486526:0.615757:0.477028:0.615757:0.000000
5:@0.490410:0.630637:0.505743:0.630637:0.505743:0.616922:0.490410:0.616922:0.000000
b  a:@0.509636:0.623246:0.545051:0.623246:0.545051:0.607810:0.509636:0.607810:0.000000:0.000000:0.000000:0.000000
2:@0.520643:0.622691:0.535977:0.622691:0.535977:0.608975:0.520643:0.608975:0.000000
n:@0.522594:0.639638:0.532093:0.639638:0.532093:0.624202:0.522594:0.624202:0.000000
.:@0.544830:0.631192:0.548033:0.631192:0.548033:0.615479:0.544830:0.615479:0.000000
Esta es la partición que utilizaremos más adelante.:@0.073089:0.674849:0.435464:0.674849:0.435464:0.659136:0.073089:0.659136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.073089:0.718506:0.151059:0.718506:0.151059:0.701837:0.073089:0.701837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean [ ,  ] un intervalo cerrado de   y   una función de [ ,  ] de  . Se dice :@0.150952:0.718506:0.710398:0.718506:0.710398:0.702793:0.150952:0.702793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.154081:0.718506:0.157892:0.718506:0.157892:0.701559:0.154081:0.701559:0.000000
a b:@0.202824:0.718506:0.228741:0.718506:0.228741:0.703071:0.202824:0.703071:0.000000:0.000000:0.000000
R:@0.413071:0.717646:0.426361:0.717646:0.426361:0.704749:0.413071:0.704749:0.000000
v:@0.443002:0.718506:0.450733:0.718506:0.450733:0.703071:0.443002:0.703071:0.000000
a b:@0.575018:0.718506:0.600936:0.718506:0.600936:0.703071:0.575018:0.703071:0.000000:0.000000:0.000000
R:@0.633148:0.717646:0.646438:0.717646:0.646438:0.704749:0.633148:0.704749:0.000000
que   es escalonada o constante a trozos en [ ,  ] si y solo si existe una partición  ( ) de :@0.073089:0.736784:0.710392:0.736782:0.710392:0.721069:0.073089:0.721072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.105541:0.736784:0.113272:0.736784:0.113272:0.721349:0.105541:0.721349:0.000000
a b:@0.400757:0.736784:0.426343:0.736784:0.426343:0.721349:0.400757:0.721349:0.000000:0.000000:0.000000
t:@0.656263:0.736095:0.664065:0.736095:0.666198:0.723003:0.658397:0.723003:0.000000
n:@0.669233:0.736782:0.678732:0.736782:0.678732:0.721347:0.669233:0.721347:0.000000
[ ,  ], tal que :@0.073096:0.755060:0.169476:0.755060:0.169476:0.739348:0.073096:0.739348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.077900:0.755060:0.103413:0.755060:0.103413:0.739625:0.077900:0.739625:0.000000:0.000000:0.000000
v x:@0.266354:0.798717:0.286270:0.798717:0.286270:0.783282:0.266354:0.783282:0.000000:0.000000:0.000000
( )    ,      ]:@0.274011:0.798717:0.370201:0.798717:0.370201:0.783005:0.274011:0.783005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.294940:0.798163:0.310274:0.798163:0.310274:0.784447:0.294940:0.784447:0.000000
c x:@0.314139:0.798717:0.342935:0.798717:0.342935:0.783282:0.314139:0.783282:0.000000:0.000000:0.000000
j:@0.321735:0.801890:0.323849:0.801890:0.323849:0.792891:0.321735:0.792891:0.000000
[:@0.346817:0.798427:0.361453:0.798427:0.361453:0.785017:0.346817:0.785017:0.000000
x:@0.370109:0.798717:0.377564:0.798717:0.377564:0.783282:0.370109:0.783282:0.000000
j:@0.377502:0.801890:0.379616:0.801890:0.379616:0.792891:0.377502:0.792891:0.000000
2:@0.379577:0.798163:0.394910:0.798163:0.394910:0.784447:0.379577:0.784447:0.000000
1:@0.394818:0.801890:0.400055:0.801890:0.400055:0.792729:0.394818:0.792729:0.000000
,  ],      1, …,  ,:@0.400007:0.798717:0.513053:0.798717:0.513053:0.783005:0.400007:0.783005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x j:@0.407076:0.798717:0.435982:0.798717:0.435982:0.783282:0.407076:0.783282:0.000000:0.000000:0.000000
j:@0.414469:0.801890:0.416583:0.801890:0.416583:0.792891:0.414469:0.792891:0.000000
5:@0.439866:0.798163:0.455199:0.798163:0.455199:0.784447:0.439866:0.784447:0.000000
n:@0.500425:0.798717:0.509924:0.798717:0.509924:0.783282:0.500425:0.783282:0.000000
y  ( ) está definido para cada     0, 1, …,   La partición  ( ) se llama partición asociada :@0.073064:0.842374:0.710559:0.842372:0.710559:0.826659:0.073064:0.826662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v x:@0.085176:0.842374:0.105093:0.842374:0.105093:0.826939:0.085176:0.826939:0.000000:0.000000:0.000000
j:@0.105057:0.845544:0.107171:0.845544:0.107171:0.836545:0.105057:0.836545:0.000000
j:@0.289014:0.842372:0.292640:0.842372:0.292640:0.826937:0.289014:0.826937:0.000000
5:@0.296672:0.841817:0.312005:0.841817:0.312005:0.828101:0.296672:0.828101:0.000000
n.:@0.373798:0.842372:0.386554:0.842372:0.386554:0.826937:0.373798:0.826937:0.000000:0.000000
t:@0.479746:0.841685:0.487548:0.841685:0.489681:0.828593:0.481880:0.828593:0.000000
n:@0.492716:0.842372:0.502214:0.842372:0.502214:0.826937:0.492716:0.826937:0.000000
con la función  .:@0.073086:0.860650:0.191132:0.860650:0.191132:0.844937:0.073086:0.844937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.180271:0.860650:0.188002:0.860650:0.188002:0.845215:0.180271:0.845215:0.000000
En la definición de función escalonada, observemos que la función   toma el valor :@0.073068:0.904307:0.710364:0.904307:0.710364:0.888595:0.073068:0.888595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.592281:0.904307:0.600012:0.904307:0.600012:0.888872:0.592281:0.888872:0.000000
constante   en el j-ésimo intervalo abierto ]:@0.073086:0.922585:0.384258:0.922588:0.384258:0.906876:0.073086:0.906873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.148556:0.922585:0.156213:0.922585:0.156213:0.907150:0.148556:0.907150:0.000000
j:@0.156116:0.925761:0.158230:0.925761:0.158230:0.916762:0.156116:0.916762:0.000000
x:@0.384098:0.922588:0.391553:0.922588:0.391553:0.907153:0.384098:0.907153:0.000000
j:@0.391451:0.925761:0.393565:0.925761:0.393565:0.916762:0.391451:0.916762:0.000000
2:@0.393503:0.922034:0.408836:0.922034:0.408836:0.908318:0.393503:0.908318:0.000000
1:@0.408687:0.925761:0.413924:0.925761:0.413924:0.916600:0.408687:0.916600:0.000000
,  ],  (:@0.413848:0.922588:0.453638:0.922588:0.453638:0.906876:0.413848:0.906876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x v x:@0.420419:0.922588:0.460964:0.922588:0.460964:0.907153:0.420419:0.907153:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.427767:0.925761:0.429881:0.925761:0.429881:0.916762:0.427767:0.916762:0.000000
j:@0.460858:0.925761:0.462972:0.925761:0.462972:0.916762:0.460858:0.916762:0.000000
2:@0.462910:0.922034:0.478243:0.922034:0.478243:0.908318:0.462910:0.908318:0.000000
1:@0.478094:0.925761:0.483331:0.925761:0.483331:0.916600:0.478094:0.916600:0.000000
), y que  ( ) no necesariamente :@0.483255:0.922588:0.710387:0.922588:0.710387:0.906876:0.483255:0.906876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v x:@0.537832:0.922588:0.557657:0.922588:0.557657:0.907153:0.537832:0.907153:0.000000:0.000000:0.000000
j:@0.557547:0.925761:0.559661:0.925761:0.559661:0.916762:0.557547:0.916762:0.000000
tiene que tomar el valor  .:@0.073094:0.940867:0.263537:0.940869:0.263537:0.925156:0.073094:0.925154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.250025:0.940867:0.257682:0.940867:0.257682:0.925431:0.250025:0.925431:0.000000
j:@0.257615:0.944041:0.259730:0.944041:0.259730:0.935043:0.257615:0.935043:0.000000
Es natural preguntarse :@0.744288:0.741328:0.895741:0.741328:0.895741:0.727044:0.744288:0.727044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si el símbolo de la :@0.744288:0.756457:0.865207:0.756457:0.865207:0.742173:0.744288:0.742173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral definida tiene :@0.744288:0.771586:0.892637:0.771586:0.892637:0.757302:0.744288:0.757302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
relación con la integral :@0.744288:0.786715:0.897418:0.786715:0.897418:0.772431:0.744288:0.772431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indefinida o primitiva, :@0.744288:0.801844:0.891171:0.801844:0.891171:0.787560:0.744288:0.787560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pues observamos que :@0.744288:0.816973:0.894567:0.816973:0.894567:0.802689:0.744288:0.802689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representan cosas :@0.744288:0.832102:0.867019:0.832102:0.867019:0.817818:0.744288:0.817818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
totalmente diferentes:@0.744288:0.847231:0.878281:0.847231:0.878281:0.833199:0.744288:0.833199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.878343:0.847231:0.884920:0.847231:0.884920:0.832946:0.878343:0.832946:0.000000:0.000000
En efecto, la integral :@0.744288:0.862360:0.880708:0.862360:0.880708:0.848075:0.744288:0.848075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indefinida representa :@0.744288:0.877489:0.888071:0.877489:0.888071:0.863204:0.744288:0.863204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una familia de funciones :@0.744288:0.892618:0.909333:0.892618:0.909333:0.878333:0.744288:0.878333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la integral definida :@0.744288:0.907746:0.881007:0.907746:0.881007:0.893462:0.744288:0.893462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representa un número.:@0.744288:0.922875:0.895120:0.922875:0.895120:0.908591:0.744288:0.908591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.740294:0.698046:0.848854:0.698046:0.848854:0.681099:0.740294:0.681099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.740294:0.714687:0.837769:0.714687:0.837769:0.697740:0.740294:0.697740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000