188:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
Definición :@0.404236:0.096657:0.491103:0.096657:0.491103:0.079711:0.404236:0.079711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean [ ,  ] un intervalo cerrado de   y   una función de :@0.484322:0.096194:0.895918:0.096194:0.895918:0.079697:0.484322:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.535028:0.096310:0.560304:0.096310:0.560304:0.079841:0.535028:0.079841:0.000000:0.000000:0.000000
:@0.741690:0.095107:0.754995:0.095107:0.754995:0.082245:0.741690:0.082245:0.000000
v:@0.771368:0.096310:0.779151:0.096310:0.779151:0.079841:0.771368:0.079841:0.000000
[ ,  ] de  . Se dice que   es escalonada o constante a trozos en [ ,  ] :@0.404230:0.113545:0.895919:0.113545:0.895919:0.097047:0.404230:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.410087:0.113661:0.435170:0.113661:0.435170:0.097192:0.410087:0.097192:0.000000:0.000000:0.000000
:@0.467063:0.112458:0.480367:0.112458:0.480367:0.099596:0.467063:0.099596:0.000000
v:@0.572166:0.113661:0.579950:0.113661:0.579950:0.097192:0.572166:0.097192:0.000000
a b:@0.860814:0.113661:0.885920:0.113661:0.885920:0.097192:0.860814:0.097192:0.000000:0.000000:0.000000
si y solo si existe una partición  ( ) de [ ,  ], tal que :@0.404250:0.130896:0.774817:0.130896:0.774817:0.114398:0.404250:0.114398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.621225:0.129981:0.629035:0.129981:0.631171:0.116925:0.623361:0.116925:0.000000
n:@0.636321:0.131011:0.645684:0.131011:0.645684:0.114543:0.636321:0.114543:0.000000
a b:@0.683637:0.131011:0.708778:0.131011:0.708778:0.114543:0.683637:0.114543:0.000000:0.000000:0.000000
v x:@0.532809:0.160435:0.554020:0.160435:0.554020:0.143967:0.532809:0.143967:0.000000:0.000000:0.000000
( ) =  ,      ]:@0.540592:0.160320:0.636484:0.160317:0.636484:0.143819:0.540592:0.143822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c x:@0.579065:0.160435:0.607692:0.160432:0.607692:0.143963:0.579065:0.143967:0.000000:0.000000:0.000000
j:@0.586258:0.163662:0.588504:0.163662:0.588504:0.154061:0.586258:0.154061:0.000000
:@0.611834:0.159798:0.626486:0.159798:0.626486:0.146425:0.611834:0.146425:0.000000
x:@0.636484:0.160432:0.643959:0.160432:0.643959:0.143963:0.636484:0.143963:0.000000
j:@0.643958:0.163662:0.646204:0.163662:0.646204:0.154061:0.643958:0.154061:0.000000
–1:@0.646204:0.163594:0.657279:0.163594:0.657279:0.153976:0.646204:0.153976:0.000000:0.000000
,  ],    = 1, …,  ,:@0.657279:0.160317:0.763191:0.160317:0.763191:0.143819:0.657279:0.143819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x j:@0.664176:0.160432:0.694645:0.160432:0.694645:0.143963:0.664176:0.143963:0.000000:0.000000:0.000000
j:@0.671650:0.163662:0.673896:0.163662:0.673896:0.154061:0.671650:0.154061:0.000000
n:@0.751073:0.160432:0.760436:0.160432:0.760436:0.143963:0.751073:0.143963:0.000000
y  ( ) está definido para cada   = 0, 1, …,   La partición  ( ) se llama :@0.404240:0.195018:0.895916:0.195018:0.895916:0.178520:0.404240:0.178520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v x:@0.416281:0.195134:0.437492:0.195134:0.437492:0.178665:0.416281:0.178665:0.000000:0.000000:0.000000
j:@0.437486:0.198363:0.439733:0.198363:0.439733:0.188762:0.437486:0.188762:0.000000
j:@0.619746:0.195134:0.623599:0.195134:0.623599:0.178665:0.619746:0.178665:0.000000
n.:@0.695805:0.195134:0.707711:0.195134:0.707711:0.178665:0.695805:0.178665:0.000000:0.000000
:@0.800349:0.194103:0.808159:0.194103:0.810295:0.181047:0.802485:0.181047:0.000000
n:@0.815445:0.195134:0.824808:0.195134:0.824808:0.178665:0.815445:0.178665:0.000000
partición asociada con la función  .:@0.404228:0.212369:0.654655:0.212369:0.654655:0.195871:0.404228:0.195871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.644117:0.212484:0.651900:0.212484:0.651900:0.196016:0.644117:0.196016:0.000000
En la definición de función escalonada, observemos que la función :@0.404228:0.247070:0.895869:0.247070:0.895869:0.230573:0.404228:0.230573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.404228:0.264537:0.412011:0.264537:0.412011:0.248068:0.404228:0.248068:0.000000
 toma el valor constante   en el j-ésimo intervalo abierto ]:@0.412011:0.264421:0.843875:0.264421:0.843875:0.247923:0.412011:0.247923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.597454:0.264537:0.604640:0.264537:0.604640:0.248068:0.597454:0.248068:0.000000
j:@0.604667:0.267767:0.606913:0.267767:0.606913:0.258165:0.604667:0.258165:0.000000
x:@0.843875:0.264537:0.851350:0.264537:0.851350:0.248068:0.843875:0.248068:0.000000
j:@0.851368:0.267767:0.853614:0.267767:0.853614:0.258165:0.851368:0.258165:0.000000
–1:@0.853614:0.267699:0.864688:0.267699:0.864688:0.258081:0.853614:0.258081:0.000000:0.000000
,  ], :@0.864689:0.264421:0.895912:0.264421:0.895912:0.247923:0.864689:0.247923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.873436:0.264537:0.880911:0.264537:0.880911:0.248068:0.873436:0.248068:0.000000
j:@0.880912:0.267767:0.883159:0.267767:0.883159:0.258165:0.880912:0.258165:0.000000
v x:@0.404244:0.281888:0.425455:0.281888:0.425455:0.265419:0.404244:0.265419:0.000000:0.000000:0.000000
(:@0.412027:0.281772:0.417980:0.281772:0.417980:0.265274:0.412027:0.265274:0.000000
j:@0.425446:0.285117:0.427693:0.285117:0.427693:0.275516:0.425446:0.275516:0.000000
–1:@0.427693:0.285050:0.438767:0.285050:0.438767:0.275432:0.427693:0.275432:0.000000:0.000000
), y que  ( ) no necesariamente tiene que tomar el valor  .:@0.438766:0.281772:0.854181:0.281772:0.854181:0.265274:0.438766:0.265274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v x:@0.494730:0.281888:0.515941:0.281888:0.515941:0.265419:0.494730:0.265419:0.000000:0.000000:0.000000
j:@0.515941:0.285117:0.518187:0.285117:0.518187:0.275516:0.515941:0.275516:0.000000
c:@0.841320:0.281888:0.848506:0.281888:0.848506:0.265419:0.841320:0.265419:0.000000
j:@0.848506:0.285117:0.850753:0.285117:0.850753:0.275516:0.848506:0.275516:0.000000
El dominio de la función   es el intervalo [ ,  ], :@0.404241:0.316473:0.746296:0.316473:0.746296:0.299976:0.404241:0.299976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.585988:0.316589:0.593771:0.316589:0.593771:0.300120:0.585988:0.300120:0.000000
a b Dom v:@0.707667:0.316589:0.795923:0.316589:0.795923:0.300120:0.707667:0.300120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = [ ,  ], y el :@0.782187:0.316473:0.895910:0.316473:0.895910:0.299976:0.782187:0.299976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.828173:0.316589:0.854008:0.316589:0.854008:0.300120:0.828173:0.300120:0.000000:0.000000:0.000000
recorrido de   es el conjunto::@0.404241:0.333824:0.610279:0.333824:0.610279:0.317326:0.404241:0.317326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.495884:0.333940:0.503667:0.333940:0.503667:0.317471:0.495884:0.317471:0.000000
Rec v:@0.500683:0.368641:0.538250:0.368641:0.538250:0.352173:0.500683:0.352173:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = { , …,  }   { ( ) |   = 0, 1, …,  }.:@0.524514:0.368526:0.795326:0.368526:0.795326:0.352028:0.524514:0.352028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.569152:0.368641:0.576338:0.368641:0.576338:0.352173:0.569152:0.352173:0.000000
1:@0.576335:0.371804:0.581288:0.371804:0.581288:0.362185:0.576335:0.362185:0.000000
c:@0.610129:0.368641:0.617315:0.368641:0.617315:0.352173:0.610129:0.352173:0.000000
n:@0.617313:0.371804:0.622929:0.371804:0.622929:0.362185:0.617313:0.362185:0.000000
:@0.632929:0.368309:0.648977:0.368309:0.648977:0.353662:0.632929:0.353662:0.000000
v x:@0.658976:0.368641:0.680187:0.368641:0.680187:0.352173:0.658976:0.352173:0.000000:0.000000:0.000000
j:@0.680185:0.371871:0.682431:0.371871:0.682431:0.362270:0.680185:0.362270:0.000000
j:@0.701678:0.368641:0.705531:0.368641:0.705531:0.352173:0.701678:0.352173:0.000000
n:@0.777351:0.368641:0.786714:0.368641:0.786714:0.352173:0.777351:0.352173:0.000000
 :@0.404241:0.385876:0.408383:0.385876:0.408383:0.369379:0.404241:0.369379:0.000000
Se denota con  ([ ,  ]) el conjunto de todas las funciones escalona-:@0.404241:0.403227:0.891739:0.403227:0.891739:0.386729:0.404241:0.386729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ε:@0.512594:0.410814:0.520776:0.410814:0.520776:0.391814:0.512594:0.391814:0.000000
a b:@0.532582:0.403343:0.558243:0.403343:0.558243:0.386874:0.532582:0.386874:0.000000:0.000000:0.000000
das en [ ,  ]. Las funciones nula 0 y unidad   son escalonadas y están :@0.404237:0.420578:0.895977:0.420578:0.895977:0.404080:0.404237:0.404080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.459528:0.420694:0.484458:0.420694:0.484458:0.404225:0.459528:0.404225:0.000000:0.000000:0.000000
������:@0.710283:0.428677:0.719183:0.428677:0.719183:0.408814:0.710283:0.408814:0.000000:0.000000
definidas como::@0.404237:0.437929:0.517341:0.437929:0.517341:0.421431:0.404237:0.421431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0( ) = 0,       [ ,  ],:@0.579011:0.472630:0.731249:0.472630:0.731249:0.456132:0.579011:0.456132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.593460:0.472746:0.600935:0.472746:0.600935:0.456277:0.593460:0.456277:0.000000
∀:@0.649649:0.480217:0.661221:0.480217:0.661221:0.461217:0.649649:0.461217:0.000000
x:@0.661228:0.472746:0.668703:0.472746:0.668703:0.456277:0.661228:0.456277:0.000000
:@0.672846:0.472111:0.687498:0.472111:0.687498:0.458738:0.672846:0.458738:0.000000
a b:@0.697496:0.472746:0.722637:0.472746:0.722637:0.456277:0.697496:0.456277:0.000000:0.000000:0.000000
������:@0.578803:0.498080:0.587703:0.498080:0.587703:0.478217:0.578803:0.478217:0.000000:0.000000
( ) = 1,       [ ,  ].:@0.587703:0.489981:0.731455:0.489981:0.731455:0.473483:0.587703:0.473483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.593656:0.490097:0.601131:0.490097:0.601131:0.473628:0.593656:0.473628:0.000000
∀:@0.649855:0.497567:0.661427:0.497567:0.661427:0.478568:0.649855:0.478568:0.000000
x:@0.661436:0.490097:0.668911:0.490097:0.668911:0.473628:0.661436:0.473628:0.000000
:@0.673052:0.489462:0.687704:0.489462:0.687704:0.476089:0.673052:0.476089:0.000000
a b:@0.697702:0.490097:0.722843:0.490097:0.722843:0.473628:0.697702:0.473628:0.000000:0.000000:0.000000
 :@0.404235:0.507332:0.408377:0.507332:0.408377:0.490834:0.404235:0.490834:0.000000
Luego, 0,      ([ ,  ]). La igualdad de funciones escalonadas se define :@0.404235:0.524682:0.895881:0.524682:0.895881:0.508185:0.404235:0.508185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
������:@0.468542:0.532781:0.477442:0.532781:0.477442:0.512919:0.468542:0.512919:0.000000:0.000000
:@0.481007:0.524164:0.495660:0.524164:0.495660:0.510790:0.481007:0.510790:0.000000
ε:@0.499207:0.532269:0.507389:0.532269:0.507389:0.513270:0.499207:0.513270:0.000000
a b:@0.519197:0.524798:0.543741:0.524798:0.543741:0.508329:0.519197:0.508329:0.000000:0.000000:0.000000
en la forma habitual, esto es,  ,      ([ ,  ]),:@0.404241:0.542033:0.709415:0.542033:0.709415:0.525535:0.404241:0.525535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.608166:0.542149:0.626795:0.542149:0.626795:0.525680:0.608166:0.525680:0.000000:0.000000:0.000000
:@0.630926:0.541515:0.645579:0.541515:0.645579:0.528141:0.630926:0.528141:0.000000
ε:@0.649721:0.549620:0.657903:0.549620:0.657903:0.530620:0.649721:0.530620:0.000000
a b:@0.669709:0.542149:0.694850:0.542149:0.694850:0.525680:0.669709:0.525680:0.000000:0.000000:0.000000
f g:@0.535661:0.559500:0.566486:0.559500:0.566486:0.543031:0.535661:0.543031:0.000000:0.000000:0.000000
 =      ( ) =  ( ),       [ ,  ].:@0.539957:0.559384:0.760341:0.559384:0.760341:0.542886:0.539957:0.542886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.570633:0.558740:0.589834:0.558740:0.589834:0.541797:0.570633:0.541797:0.000000
f x:@0.593976:0.559500:0.611700:0.559500:0.611700:0.543031:0.593976:0.543031:0.000000:0.000000:0.000000
g x:@0.636745:0.559500:0.657609:0.559500:0.657609:0.543031:0.636745:0.543031:0.000000:0.000000:0.000000
∀:@0.678741:0.566970:0.690314:0.566970:0.690314:0.547971:0.678741:0.547971:0.000000
x:@0.690320:0.559500:0.697795:0.559500:0.697795:0.543031:0.690320:0.543031:0.000000
:@0.701936:0.558865:0.716589:0.558865:0.716589:0.545492:0.701936:0.545492:0.000000
a b:@0.726588:0.559500:0.751729:0.559500:0.751729:0.543031:0.726588:0.543031:0.000000:0.000000:0.000000
 :@0.404242:0.576735:0.408384:0.576735:0.408384:0.560237:0.404242:0.560237:0.000000
En el conjunto de funciones escalonadas  ([ ,  ]) se definen tres ope-:@0.404242:0.594085:0.891801:0.594085:0.891801:0.577588:0.404242:0.577588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ε:@0.693334:0.601672:0.701516:0.601672:0.701516:0.582673:0.693334:0.582673:0.000000
a b:@0.713322:0.594201:0.737924:0.594201:0.737924:0.577732:0.713322:0.577732:0.000000:0.000000:0.000000
raciones: adición “+” , producto de escalares por funciones escalona-:@0.404250:0.611436:0.891776:0.611436:0.891776:0.594938:0.404250:0.594938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
das “ ∙ ” , y producto de funciones escalonadas “×”.  Sean  ,      ([ ,  ]), :@0.404250:0.628787:0.895908:0.628787:0.895908:0.612289:0.404250:0.612289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.793676:0.628903:0.811575:0.628903:0.811575:0.612434:0.793676:0.612434:0.000000:0.000000:0.000000
:@0.814891:0.628268:0.829544:0.628268:0.829544:0.614895:0.814891:0.614895:0.000000
ε:@0.832881:0.636373:0.841063:0.636373:0.841063:0.617374:0.832881:0.617374:0.000000
a b:@0.852870:0.628903:0.877202:0.628903:0.877202:0.612434:0.852870:0.612434:0.000000:0.000000:0.000000
λ:@0.404236:0.653212:0.412820:0.653212:0.412820:0.635076:0.404236:0.635076:0.000000
    , se definen las funciones escalonadas   +  ,  , y  , en la forma :@0.412817:0.646138:0.895903:0.646138:0.895903:0.629640:0.412817:0.629640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.417291:0.645619:0.431944:0.645619:0.431944:0.632246:0.417291:0.632246:0.000000
:@0.436419:0.645051:0.449724:0.645051:0.449724:0.632189:0.436419:0.632189:0.000000
f:@0.720861:0.646253:0.725157:0.646253:0.725157:0.629785:0.720861:0.629785:0.000000
g f:@0.744904:0.646253:0.772490:0.646253:0.772490:0.629785:0.744904:0.629785:0.000000:0.000000:0.000000
λ:@0.759613:0.653212:0.768197:0.653212:0.768197:0.635076:0.759613:0.635076:0.000000
fg:@0.792006:0.646253:0.803854:0.646253:0.803854:0.629785:0.792006:0.629785:0.000000:0.000000
habitual. Así::@0.404254:0.663488:0.493625:0.663488:0.493625:0.646991:0.404254:0.646991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  )( ) =  ( ) +  ( ),       [ ,  ],:@0.524238:0.689630:0.771786:0.689637:0.771786:0.673139:0.524238:0.673133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g x:@0.530191:0.689746:0.580396:0.689746:0.580396:0.673277:0.530191:0.673277:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.605441:0.689746:0.623165:0.689746:0.623165:0.673277:0.605441:0.673277:0.000000:0.000000:0.000000
g x:@0.648210:0.689746:0.669074:0.689746:0.669074:0.673277:0.648210:0.673277:0.000000:0.000000:0.000000
∀:@0.690186:0.697223:0.701759:0.697223:0.701759:0.678224:0.690186:0.678224:0.000000
x:@0.701767:0.689752:0.709242:0.689752:0.709242:0.673283:0.701767:0.673283:0.000000
:@0.713383:0.689118:0.728036:0.689118:0.728036:0.675745:0.713383:0.675745:0.000000
a b:@0.738034:0.689752:0.763175:0.689752:0.763175:0.673283:0.738034:0.673283:0.000000:0.000000:0.000000
( )( ) =  ( ),       [ ,  ], :@0.520201:0.706987:0.716643:0.706987:0.716643:0.690490:0.520201:0.690490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
λ:@0.526162:0.714061:0.534746:0.714061:0.534746:0.695926:0.526162:0.695926:0.000000
f x:@0.534742:0.707103:0.558419:0.707103:0.558419:0.690634:0.534742:0.690634:0.000000:0.000000:0.000000
λ:@0.583463:0.714061:0.592047:0.714061:0.592047:0.695926:0.583463:0.695926:0.000000
f x:@0.592044:0.707103:0.609768:0.707103:0.609768:0.690634:0.592044:0.690634:0.000000:0.000000:0.000000
∀:@0.630899:0.714574:0.642472:0.714574:0.642472:0.695575:0.630899:0.695575:0.000000
x:@0.642480:0.707103:0.649955:0.707103:0.649955:0.690634:0.642480:0.690634:0.000000
:@0.654097:0.706469:0.668749:0.706469:0.668749:0.693095:0.654097:0.693095:0.000000
a b:@0.678748:0.707103:0.703890:0.707103:0.703890:0.690634:0.678748:0.690634:0.000000:0.000000:0.000000
∀:@0.716642:0.714574:0.728214:0.714574:0.728214:0.695575:0.716642:0.695575:0.000000
λ:@0.728221:0.714061:0.736805:0.714061:0.736805:0.695926:0.728221:0.695926:0.000000
    ,:@0.736801:0.706987:0.775797:0.706987:0.775797:0.690490:0.736801:0.690490:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.740943:0.706469:0.755595:0.706469:0.755595:0.693095:0.740943:0.693095:0.000000
:@0.759737:0.705900:0.773042:0.705900:0.773042:0.693038:0.759737:0.693038:0.000000
( )( ) =  ( ) ( ),       [ ,  ].:@0.543246:0.724338:0.752754:0.724338:0.752754:0.707840:0.543246:0.707840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fg x:@0.549199:0.724454:0.580428:0.724454:0.580428:0.707985:0.549199:0.707985:0.000000:0.000000:0.000000:0.000000
f x g x:@0.605473:0.724454:0.650014:0.724454:0.650014:0.707985:0.605473:0.707985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.671152:0.731924:0.682725:0.731924:0.682725:0.712925:0.671152:0.712925:0.000000
x:@0.682733:0.724454:0.690208:0.724454:0.690208:0.707985:0.682733:0.707985:0.000000
:@0.694349:0.723819:0.709002:0.723819:0.709002:0.710446:0.694349:0.710446:0.000000
a b:@0.719001:0.724454:0.744142:0.724454:0.744142:0.707985:0.719001:0.707985:0.000000:0.000000:0.000000
Definición:@0.404245:0.759502:0.484329:0.759502:0.484329:0.742556:0.404245:0.742556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sean      ([ ,  ]) y  ( ) una subdivisión compatible con :@0.484331:0.759040:0.895935:0.759040:0.895935:0.742542:0.484331:0.742542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.529258:0.759155:0.533554:0.759155:0.533554:0.742686:0.529258:0.742686:0.000000
:@0.537781:0.758521:0.552434:0.758521:0.552434:0.745148:0.537781:0.745148:0.000000
ε:@0.556686:0.766626:0.564868:0.766626:0.564868:0.747627:0.556686:0.747627:0.000000
a b:@0.576674:0.759155:0.601931:0.759155:0.601931:0.742686:0.576674:0.742686:0.000000:0.000000:0.000000
:@0.629605:0.758125:0.637415:0.758125:0.639551:0.745068:0.631741:0.745068:0.000000
n:@0.644701:0.759155:0.654064:0.759155:0.654064:0.742686:0.644701:0.742686:0.000000
f:@0.404232:0.776506:0.408528:0.776506:0.408528:0.760037:0.404232:0.760037:0.000000
, esto es,:@0.408528:0.776390:0.466649:0.776390:0.466649:0.759893:0.408528:0.759893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.491043:0.799955:0.498853:0.799955:0.500988:0.786899:0.493179:0.786899:0.000000
( ) = {    [ ,  ] |   =   <   < … <   =  },:@0.500186:0.800870:0.804510:0.800870:0.804510:0.784372:0.500186:0.784372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.506138:0.800986:0.515501:0.800986:0.515501:0.784517:0.506138:0.784517:0.000000
x:@0.546403:0.800986:0.553878:0.800986:0.553878:0.784517:0.546403:0.784517:0.000000
j:@0.553877:0.804214:0.556123:0.804214:0.556123:0.794613:0.553877:0.794613:0.000000
:@0.560265:0.800351:0.574917:0.800351:0.574917:0.786978:0.560265:0.786978:0.000000
a b x:@0.584917:0.800986:0.636682:0.800986:0.636682:0.784517:0.584917:0.784517:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.636679:0.804147:0.641632:0.804147:0.641632:0.794528:0.636679:0.794528:0.000000
a x:@0.660725:0.800986:0.696269:0.800986:0.696269:0.784517:0.660725:0.784517:0.000000:0.000000:0.000000
1:@0.696267:0.804147:0.701220:0.804147:0.701220:0.794528:0.696267:0.794528:0.000000
x:@0.754451:0.800986:0.761926:0.800986:0.761926:0.784517:0.754451:0.784517:0.000000
n:@0.761925:0.804147:0.767541:0.804147:0.767541:0.794528:0.761925:0.794528:0.000000
b:@0.786632:0.800986:0.795899:0.800986:0.795899:0.784517:0.786632:0.784517:0.000000
f x:@0.538804:0.818336:0.556528:0.818336:0.556528:0.801868:0.538804:0.801868:0.000000:0.000000:0.000000
( ) =  ,     ]:@0.543100:0.818221:0.634847:0.818221:0.634847:0.801723:0.543100:0.801723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c x:@0.581573:0.818336:0.606054:0.818336:0.606054:0.801868:0.581573:0.801868:0.000000:0.000000:0.000000
j:@0.588762:0.821565:0.591008:0.821565:0.591008:0.811964:0.588762:0.811964:0.000000
:@0.610195:0.817702:0.624848:0.817702:0.624848:0.804329:0.610195:0.804329:0.000000
x:@0.634847:0.818336:0.642322:0.818336:0.642322:0.801868:0.634847:0.801868:0.000000
j:@0.642321:0.821565:0.644568:0.821565:0.644568:0.811964:0.642321:0.811964:0.000000
–1:@0.644568:0.821497:0.655642:0.821497:0.655642:0.811879:0.644568:0.811879:0.000000:0.000000
,  ],   = 1, …, :@0.655641:0.818221:0.745294:0.818221:0.745294:0.801723:0.655641:0.801723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x j:@0.662538:0.818336:0.688866:0.818336:0.688866:0.801868:0.662538:0.801868:0.000000:0.000000:0.000000
j:@0.670013:0.821565:0.672259:0.821565:0.672259:0.811964:0.670013:0.811964:0.000000
n.:@0.745294:0.818336:0.757200:0.818336:0.757200:0.801868:0.745294:0.801868:0.000000:0.000000
La integral definida de   sobre [ ,  ] se nota       ( ) , o, en forma:@0.404241:0.852922:0.863140:0.852922:0.863140:0.836425:0.404241:0.836425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.565990:0.853038:0.570286:0.853038:0.570286:0.836569:0.565990:0.836569:0.000000
a b:@0.623557:0.853038:0.648698:0.853038:0.648698:0.836569:0.623557:0.836569:0.000000:0.000000:0.000000
f x dx:@0.735621:0.853038:0.775789:0.853038:0.775789:0.836569:0.735621:0.836569:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abreviada,      , y se define como el número real::@0.404241:0.877401:0.737623:0.877401:0.737623:0.860904:0.404241:0.860904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.496233:0.877517:0.500529:0.877517:0.500529:0.861048:0.496233:0.861048:0.000000
      =      :@0.503785:0.912103:0.564451:0.912103:0.564451:0.895605:0.503785:0.895605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.520353:0.912218:0.524649:0.912218:0.524649:0.895750:0.520353:0.895750:0.000000
ch h  x:@0.564451:0.912218:0.634559:0.912218:0.634559:0.895749:0.564451:0.895750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j j:@0.571635:0.915447:0.585383:0.915447:0.585383:0.905846:0.571635:0.905846:0.000000:0.000000:0.000000
,   =   – :@0.585383:0.912102:0.655588:0.912102:0.655588:0.895604:0.585383:0.895604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.605746:0.915447:0.607992:0.915447:0.607992:0.905846:0.605746:0.905846:0.000000
j:@0.634558:0.915447:0.636805:0.915447:0.636805:0.905846:0.634558:0.905846:0.000000
x:@0.655588:0.912218:0.663063:0.912218:0.663063:0.895749:0.655588:0.895749:0.000000
j:@0.663062:0.915447:0.665309:0.915447:0.665309:0.905846:0.663062:0.905846:0.000000
–1:@0.665309:0.915379:0.676383:0.915379:0.676383:0.905761:0.665309:0.905761:0.000000:0.000000
  para   = 1, …, :@0.676384:0.912102:0.780320:0.912102:0.780320:0.895604:0.676384:0.895604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.720039:0.912218:0.723892:0.912218:0.723892:0.895749:0.720039:0.895749:0.000000
n.:@0.780320:0.912218:0.792226:0.912218:0.792226:0.895749:0.780320:0.895749:0.000000:0.000000
Recuerda que…:@0.199646:0.121000:0.309406:0.121000:0.309406:0.105527:0.199646:0.105527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es natural preguntar-:@0.199884:0.149627:0.335292:0.149627:0.335292:0.134564:0.199884:0.134564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se si el símbolo de la integral :@0.153341:0.165469:0.341128:0.165469:0.341128:0.150406:0.153341:0.150406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definida tiene relación con la :@0.153341:0.181311:0.343979:0.181311:0.343979:0.166248:0.153341:0.166248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral indefinida o primitiva, :@0.153341:0.197153:0.351772:0.197153:0.351772:0.182090:0.153341:0.182090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pues observamos que represen-:@0.153341:0.212995:0.359390:0.212995:0.359390:0.197932:0.153341:0.197932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tan cosas :@0.153341:0.228837:0.217368:0.228837:0.217368:0.213774:0.153341:0.213774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
totalmente diferentes:@0.217368:0.228943:0.351527:0.228943:0.351527:0.213906:0.217368:0.213906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. :@0.351527:0.228837:0.357825:0.228837:0.357825:0.213774:0.351527:0.213774:0.000000:0.000000
En efecto, la integral indefini-:@0.153341:0.244679:0.341075:0.244679:0.341075:0.229616:0.153341:0.229616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da representa una familia de :@0.153341:0.260521:0.340145:0.260521:0.340145:0.245458:0.153341:0.245458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones y la integral definida :@0.153341:0.276363:0.354831:0.276363:0.354831:0.261300:0.153341:0.261300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
representa un número.:@0.153341:0.292205:0.301025:0.292205:0.301025:0.277142:0.153341:0.277142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simbología matemática:@0.199250:0.396375:0.365453:0.396375:0.365453:0.380902:0.199250:0.380902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.152950:0.439447:0.159026:0.439447:0.159026:0.425992:0.152950:0.425992:0.000000
  El símbolo     tiene la forma :@0.159026:0.439373:0.349313:0.439373:0.349313:0.424310:0.159026:0.424310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la letra   mayúscula estira-:@0.169563:0.455215:0.359443:0.455215:0.359443:0.440152:0.169563:0.440152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.236473:0.455321:0.243668:0.455321:0.243668:0.440284:0.236473:0.440284:0.000000
da y denota o indica suma; :@0.169563:0.471057:0.347729:0.471057:0.347729:0.455994:0.169563:0.455994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  el símbolo     ( )  se lee::@0.152940:0.494028:0.330404:0.494028:0.330404:0.478965:0.152940:0.478965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x dx:@0.251900:0.494134:0.288575:0.494134:0.288575:0.479097:0.251900:0.479097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  “integral de  ( ) de   =   hasta :@0.152940:0.516999:0.364390:0.516999:0.364390:0.501936:0.152940:0.501936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.245921:0.517105:0.261928:0.517105:0.261928:0.502068:0.245921:0.502068:0.000000:0.000000:0.000000
x a:@0.290705:0.517105:0.322807:0.517105:0.322807:0.502068:0.290705:0.502068:0.000000:0.000000:0.000000
x b:@0.169563:0.532947:0.201928:0.532947:0.201928:0.517910:0.169563:0.517910:0.000000:0.000000:0.000000
 =  ” o también, “integral de :@0.176300:0.532841:0.359623:0.532841:0.359623:0.517778:0.176300:0.517778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.169563:0.548789:0.185570:0.548789:0.185570:0.533752:0.169563:0.533752:0.000000:0.000000:0.000000
( ) sobre el intervalo [ ,  ]”.:@0.173397:0.548683:0.347204:0.548683:0.347204:0.533620:0.173397:0.533620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.313115:0.548789:0.335806:0.548789:0.335806:0.533752:0.313115:0.533752:0.000000:0.000000:0.000000
•:@0.152950:0.571725:0.159026:0.571725:0.159026:0.558271:0.152950:0.558271:0.000000
  En la integral definida se :@0.159026:0.571651:0.330140:0.571651:0.330140:0.556588:0.159026:0.556588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debe observar los siguientes :@0.169563:0.587493:0.354397:0.587493:0.354397:0.572430:0.169563:0.572430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elementos::@0.169563:0.603335:0.239708:0.603335:0.239708:0.588272:0.169563:0.588272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Se lee: \integral de   desde   :@0.152940:0.776409:0.351881:0.776409:0.351881:0.761346:0.152940:0.761346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.289824:0.776515:0.293747:0.776515:0.293747:0.761478:0.289824:0.761478:0.000000
a:@0.339903:0.776515:0.348100:0.776515:0.348100:0.761478:0.339903:0.761478:0.000000
hasta  .:@0.169563:0.792251:0.223054:0.792251:0.223054:0.777188:0.169563:0.777188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b\:@0.207891:0.792357:0.220539:0.792357:0.220539:0.777320:0.207891:0.777320:0.000000:0.000000
∫:@0.719078:0.858425:0.726101:0.858425:0.728541:0.832241:0.721518:0.832241:0.000000
b:@0.729863:0.839040:0.735265:0.839040:0.735265:0.829439:0.729863:0.829439:0.000000
a:@0.726291:0.860721:0.731525:0.860721:0.731525:0.851120:0.726291:0.851120:0.000000
∫:@0.480744:0.883189:0.487766:0.883189:0.490206:0.857005:0.483183:0.857005:0.000000
b:@0.491528:0.863804:0.496930:0.863804:0.496930:0.854203:0.491528:0.854203:0.000000
a:@0.487956:0.885485:0.493190:0.885485:0.493190:0.875883:0.487956:0.875883:0.000000
∫:@0.505872:0.917136:0.512895:0.917136:0.515335:0.890953:0.508312:0.890953:0.000000
b:@0.516656:0.897751:0.522059:0.897751:0.522059:0.888150:0.516656:0.888150:0.000000
a:@0.513085:0.919432:0.518319:0.919432:0.518319:0.909831:0.513085:0.909831:0.000000
∑:@0.545444:0.916127:0.560823:0.916127:0.560823:0.890305:0.545444:0.890305:0.000000
n:@0.550878:0.896760:0.556337:0.896760:0.556337:0.887159:0.550878:0.887159:0.000000
j:@0.546857:0.921821:0.549104:0.921821:0.549104:0.912220:0.546857:0.912220:0.000000
=1:@0.549104:0.921754:0.560358:0.921754:0.560358:0.912136:0.549104:0.912136:0.000000:0.000000
∫:@0.243378:0.443408:0.249790:0.443408:0.252018:0.419503:0.245606:0.419503:0.000000
∫:@0.240007:0.498141:0.246327:0.498141:0.248523:0.474576:0.242202:0.474576:0.000000
b:@0.249712:0.480695:0.254574:0.480695:0.254574:0.472054:0.249712:0.472054:0.000000
a:@0.246498:0.500208:0.251208:0.500208:0.251208:0.491567:0.246498:0.491567:0.000000
∫:@0.206185:0.704246:0.218826:0.704246:0.223217:0.657116:0.210576:0.657116:0.000000
b:@0.225597:0.669352:0.235321:0.669352:0.235321:0.652069:0.225597:0.652069:0.000000
a:@0.219168:0.708377:0.228589:0.708377:0.228589:0.691095:0.219168:0.691095:0.000000
f x dx:@0.231867:0.696393:0.305218:0.696393:0.305218:0.666319:0.231867:0.666319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.239713:0.696181:0.275104:0.696181:0.275104:0.666055:0.239713:0.666055:0.000000:0.000000:0.000000
límite superior :@0.174177:0.626370:0.248571:0.626370:0.248571:0.614893:0.174177:0.614893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la integral:@0.178332:0.638440:0.241547:0.638440:0.241547:0.626963:0.178332:0.626963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
límite inferior :@0.198810:0.735031:0.267830:0.735031:0.267830:0.723554:0.198810:0.723554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la integral:@0.200271:0.747101:0.263486:0.747101:0.263486:0.735624:0.200271:0.735624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
signo de :@0.153632:0.669098:0.197845:0.669098:0.197845:0.657621:0.153632:0.657621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integral:@0.155830:0.681168:0.192752:0.681168:0.192752:0.669691:0.155830:0.669691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función es :@0.277506:0.641709:0.342504:0.641709:0.342504:0.630232:0.277506:0.630232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el integrando:@0.275844:0.653779:0.341271:0.653779:0.341271:0.642302:0.275844:0.642302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.286646:0.715970:0.291846:0.715970:0.291846:0.704514:0.286646:0.704514:0.000000
 es la variable :@0.291846:0.715890:0.359471:0.715890:0.359471:0.704413:0.291846:0.704413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de integración:@0.286043:0.727960:0.357180:0.727960:0.357180:0.716483:0.286043:0.716483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000