105:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento variacional, sistemas algebraicos y analíticos:@0.409018:0.043661:0.926896:0.043661:0.926896:0.024916:0.409018:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En operaciones :@0.740294:0.457959:0.845500:0.457959:0.845500:0.443019:0.740294:0.443019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 combinadas, se resuelven :@0.740294:0.473088:0.913319:0.473088:0.913319:0.458148:0.740294:0.458148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las operaciones en el :@0.740294:0.488217:0.881728:0.488217:0.881728:0.473277:0.740294:0.473277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 siguiente orden::@0.740294:0.503346:0.847193:0.503346:0.847193:0.488406:0.740294:0.488406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Potencias y raíces:@0.740294:0.518475:0.885631:0.518475:0.885631:0.503535:0.740294:0.503535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. Multiplicaciones y :@0.740294:0.533604:0.892682:0.533604:0.892682:0.518664:0.740294:0.518664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 divisiones:@0.770415:0.548733:0.835442:0.548733:0.835442:0.533793:0.770415:0.533793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. Sumas y restas:@0.740294:0.563862:0.866544:0.563862:0.866544:0.548922:0.740294:0.548922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.740294:0.418675:0.838985:0.418675:0.838985:0.403268:0.740294:0.403268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.740294:0.433803:0.828908:0.433803:0.828908:0.418397:0.740294:0.418397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1.3.2 Valor numérico de un polinomio:@0.073089:0.136836:0.357151:0.136836:0.357151:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El valor numérico de + :@0.073089:0.172203:0.261413:0.172203:0.261413:0.155769:0.073089:0.155769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ac:@0.225740:0.172203:0.242583:0.172203:0.242583:0.155797:0.225740:0.155797:0.000000:0.000000 b n:@0.261321:0.172203:0.285196:0.172203:0.285196:0.155797:0.261321:0.155797:0.000000:0.000000:0.000000 2 2:@0.270509:0.166139:0.290368:0.166139:0.290368:0.156558:0.270509:0.156558:0.000000:0.000000:0.000000 :@0.290320:0.172203:0.313550:0.172203:0.313550:0.155769:0.290320:0.155769:0.000000:0.000000:0.000000 2:@0.294278:0.171648:0.309611:0.171648:0.309611:0.157932:0.294278:0.157932:0.000000 bd,:@0.313476:0.172203:0.334855:0.172203:0.334855:0.155797:0.313476:0.155797:0.000000:0.000000:0.000000 para 3; 3; 13; 0,5, :@0.334792:0.172203:0.619884:0.172203:0.619884:0.155769:0.334792:0.155769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.374680:0.172203:0.383939:0.172203:0.383939:0.155797:0.374680:0.155797:0.000000 5:@0.387823:0.171648:0.403157:0.171648:0.403157:0.157932:0.387823:0.157932:0.000000 b:@0.422981:0.172203:0.432240:0.172203:0.432240:0.155797:0.422981:0.155797:0.000000 5:@0.436124:0.171648:0.451457:0.171648:0.451457:0.157932:0.436124:0.157932:0.000000 c:@0.471282:0.172203:0.478939:0.172203:0.478939:0.155797:0.471282:0.155797:0.000000 5:@0.482823:0.171648:0.498156:0.171648:0.498156:0.157932:0.482823:0.157932:0.000000 d:@0.526890:0.172203:0.536149:0.172203:0.536149:0.155797:0.526890:0.155797:0.000000 5:@0.540033:0.171648:0.555366:0.171648:0.555366:0.157932:0.540033:0.157932:0.000000 n:@0.587229:0.172203:0.596727:0.172203:0.596727:0.155797:0.587229:0.155797:0.000000 5:@0.600611:0.171648:0.615944:0.171648:0.615944:0.157932:0.600611:0.157932:0.000000 1:@0.622345:0.164832:0.630511:0.164832:0.630511:0.149892:0.622345:0.149892:0.000000 4:@0.622345:0.178801:0.630511:0.178801:0.630511:0.163862:0.622345:0.163862:0.000000 a c:@0.073089:0.204927:0.099062:0.204927:0.099062:0.188520:0.073089:0.188520:0.000000:0.000000:0.000000:0.000000 :@0.099010:0.204927:0.178337:0.204927:0.178337:0.188493:0.099010:0.188493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.102968:0.204372:0.118301:0.204372:0.118301:0.190656:0.102968:0.190656:0.000000 b n:@0.122166:0.204927:0.149990:0.204927:0.149990:0.188520:0.122166:0.188520:0.000000:0.000000:0.000000 2:@0.131345:0.198863:0.136582:0.198863:0.136582:0.189282:0.131345:0.189282:0.000000 2:@0.149918:0.198863:0.155155:0.198863:0.155155:0.189282:0.149918:0.189282:0.000000 2:@0.159065:0.204372:0.174398:0.204372:0.174398:0.190656:0.159065:0.190656:0.000000 b d:@0.178250:0.204927:0.205824:0.204927:0.205824:0.188520:0.178250:0.188520:0.000000:0.000000:0.000000:0.000000 :@0.081579:0.237650:0.189350:0.237650:0.189350:0.221244:0.081579:0.221244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 :@0.073089:0.274803:0.094280:0.274803:0.094280:0.258370:0.073089:0.258370:0.000000:0.000000:0.000000:0.000000 ?:@0.084211:0.274665:0.090341:0.274665:0.090341:0.260616:0.084211:0.260616:0.000000 1:@0.095011:0.267433:0.103177:0.267433:0.103177:0.252493:0.095011:0.252493:0.000000 3:@0.095011:0.281402:0.103177:0.281402:0.103177:0.266462:0.095011:0.266462:0.000000 1:@0.105638:0.274249:0.120971:0.274249:0.120971:0.260533:0.105638:0.260533:0.000000 4 :@0.120879:0.274803:0.147261:0.274803:0.147261:0.258370:0.120879:0.258370:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.129781:0.268740:0.135018:0.268740:0.135018:0.259158:0.129781:0.259158:0.000000 ?:@0.137192:0.274665:0.143321:0.274665:0.143321:0.260616:0.137192:0.260616:0.000000 1:@0.151359:0.268036:0.158708:0.268036:0.158708:0.254590:0.151359:0.254590:0.000000 4:@0.151359:0.280120:0.158708:0.280120:0.158708:0.266674:0.151359:0.266674:0.000000 2 :@0.164555:0.268740:0.172099:0.268740:0.172099:0.259158:0.164555:0.259158:0.000000:0.000000 2:@0.172048:0.274249:0.187382:0.274249:0.187382:0.260533:0.172048:0.260533:0.000000 4 0,5 :@0.187290:0.274803:0.231656:0.274803:0.231656:0.258370:0.187290:0.258370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ?:@0.198413:0.274665:0.204542:0.274665:0.204542:0.260616:0.198413:0.260616:0.000000 Reemplazamos.:@0.253818:0.274803:0.368168:0.274803:0.368168:0.258370:0.253818:0.258370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 :@0.073089:0.311956:0.094280:0.311956:0.094280:0.295522:0.073089:0.295522:0.000000:0.000000:0.000000:0.000000 ?:@0.084211:0.311818:0.090341:0.311818:0.090341:0.297769:0.084211:0.297769:0.000000 1:@0.095011:0.304586:0.103177:0.304586:0.103177:0.289646:0.095011:0.289646:0.000000 3:@0.095011:0.318555:0.103177:0.318555:0.103177:0.303615:0.095011:0.303615:0.000000 1:@0.105638:0.311401:0.120971:0.311401:0.120971:0.297686:0.105638:0.297686:0.000000 16 :@0.120879:0.311956:0.150972:0.311956:0.150972:0.295522:0.120879:0.295522:0.000000:0.000000:0.000000:0.000000:0.000000 ?:@0.140903:0.311818:0.147033:0.311818:0.147033:0.297769:0.140903:0.297769:0.000000 1:@0.156242:0.305189:0.163591:0.305189:0.163591:0.291743:0.156242:0.291743:0.000000 16:@0.152597:0.317273:0.167236:0.317273:0.167236:0.303827:0.152597:0.303827:0.000000:0.000000 :@0.170609:0.305892:0.172959:0.305892:0.172959:0.296311:0.170609:0.296311:0.000000 2:@0.172912:0.311401:0.188245:0.311401:0.188245:0.297686:0.172912:0.297686:0.000000 4 0,5 :@0.188153:0.311956:0.232520:0.311956:0.232520:0.295522:0.188153:0.295522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ?:@0.199276:0.311818:0.205406:0.311818:0.205406:0.297769:0.199276:0.297769:0.000000 Resolvemos potencias.:@0.253817:0.311956:0.418672:0.311956:0.418672:0.295522:0.253817:0.295522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.073089:0.349109:0.101955:0.349109:0.101955:0.332703:0.073089:0.332703:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.088015:0.341739:0.096181:0.341739:0.096181:0.326799:0.088015:0.326799:0.000000 3:@0.088015:0.355708:0.096181:0.355708:0.096181:0.340768:0.088015:0.340768:0.000000 1:@0.107779:0.348554:0.123112:0.348554:0.123112:0.334839:0.107779:0.334839:0.000000 :@0.123020:0.349109:0.135463:0.349109:0.135463:0.332703:0.123020:0.332703:0.000000:0.000000 16:@0.144734:0.342341:0.159373:0.342341:0.159373:0.328896:0.144734:0.328896:0.000000:0.000000 16:@0.144734:0.354426:0.159373:0.354426:0.159373:0.340980:0.144734:0.340980:0.000000:0.000000 :@0.162743:0.343045:0.165093:0.343045:0.165093:0.333464:0.162743:0.333464:0.000000 2:@0.165045:0.348554:0.180379:0.348554:0.180379:0.334839:0.165045:0.334839:0.000000 2 Resolvemos multiplicaciones.:@0.180287:0.349109:0.406600:0.349109:0.406600:0.332675:0.180287:0.332675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.073089:0.381833:0.159921:0.381833:0.159921:0.365427:0.073089:0.365427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 + 1:@0.091364:0.381833:0.156688:0.381833:0.156688:0.365399:0.091364:0.365399:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.165745:0.381278:0.181078:0.381278:0.181078:0.367563:0.165745:0.367563:0.000000 :@0.180986:0.381833:0.193429:0.381833:0.193429:0.365427:0.180986:0.365427:0.000000:0.000000:0.000000 2 0 Resolvemos sumas y restas.:@0.193371:0.381833:0.451729:0.381833:0.451729:0.365399:0.193371:0.365399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.206219:0.381278:0.221552:0.381278:0.221552:0.367563:0.206219:0.367563:0.000000 1.4 Términos semejantes:@0.073089:0.414557:0.266188:0.414557:0.266188:0.397610:0.073089:0.397610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Los :@0.084829:0.441461:0.113213:0.441461:0.113213:0.425027:0.084829:0.425027:0.000000:0.000000:0.000000:0.000000 términos semejantes:@0.112721:0.441461:0.270514:0.441461:0.270514:0.424792:0.112721:0.424792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 son aquellos que tienen las mismas variables elevadas a los :@0.270361:0.441461:0.702050:0.441461:0.702050:0.425027:0.270361:0.425027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mismos exponentes. Solo los coeficientes (los números que multiplican a las variables) :@0.084834:0.458103:0.701468:0.458103:0.701468:0.441669:0.084834:0.441669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pueden ser diferentes.:@0.084834:0.474745:0.245944:0.474745:0.245944:0.458311:0.084834:0.458311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Características de los términos semejantes:@0.073091:0.515101:0.393027:0.515101:0.393027:0.498432:0.073091:0.498432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Mismas variables::@0.073089:0.546043:0.236196:0.546043:0.236196:0.529373:0.073089:0.529373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.099889:0.573406:0.108394:0.573406:0.108394:0.556972:0.099889:0.556972:0.000000:0.000000 Los términos deben contener las mismas variables.:@0.130091:0.573406:0.497809:0.573406:0.497809:0.556972:0.130091:0.556972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.099889:0.600769:0.108394:0.600769:0.108394:0.584335:0.099889:0.584335:0.000000:0.000000 Ejemplo 3 y 5 son términos semejantes porque ambos tienen la variable x:@0.130091:0.600769:0.678572:0.600769:0.678572:0.584335:0.130091:0.584335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.202763:0.600769:0.210218:0.600769:0.210218:0.584363:0.202763:0.584363:0.000000 x:@0.234957:0.600769:0.242412:0.600769:0.242412:0.584363:0.234957:0.584363:0.000000 2. Mismos exponentes::@0.073089:0.628132:0.259440:0.628132:0.259440:0.611463:0.073089:0.611463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.099889:0.655495:0.108394:0.655495:0.108394:0.639062:0.099889:0.639062:0.000000:0.000000 Las variables en los términos deben estar elevadas a los mismos exponentes.:@0.130091:0.655495:0.684731:0.655495:0.684731:0.639062:0.130091:0.639062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 • :@0.099889:0.682859:0.108394:0.682859:0.108394:0.666425:0.099889:0.666425:0.000000:0.000000 Ejemplo 2 y 7 son términos semejantes porque ambas tienen la variable x :@0.130091:0.682859:0.710433:0.682859:0.710433:0.666425:0.130091:0.666425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.204769:0.682859:0.212224:0.682859:0.212224:0.666453:0.204769:0.666453:0.000000 2:@0.212283:0.676795:0.217520:0.676795:0.217520:0.667214:0.212283:0.667214:0.000000 x:@0.244396:0.682859:0.251851:0.682859:0.251851:0.666453:0.244396:0.666453:0.000000 2:@0.251907:0.676795:0.257144:0.676795:0.257144:0.667214:0.251907:0.667214:0.000000 elevada al exponente 2.:@0.130006:0.699500:0.301731:0.699500:0.301731:0.683067:0.130006:0.683067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 10. :@0.073091:0.730440:0.165808:0.730440:0.165808:0.713771:0.073091:0.713771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Determine cuáles de los siguientes términos son semejantes entre sí.:@0.165680:0.730440:0.663666:0.730440:0.663666:0.714007:0.165680:0.714007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6 , 7 , 20 , 15 , 5 , 10 , 12 , 3 , 13 , y 2 .:@0.073091:0.761380:0.429804:0.761374:0.429804:0.744940:0.073091:0.744946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.082000:0.761380:0.089455:0.761380:0.089455:0.744974:0.082000:0.744974:0.000000 2:@0.096450:0.760826:0.111783:0.760826:0.111783:0.747110:0.096450:0.747110:0.000000 y:@0.120600:0.761380:0.128073:0.761380:0.128073:0.744974:0.120600:0.744974:0.000000 xy:@0.156826:0.761380:0.171883:0.761380:0.171883:0.744974:0.156826:0.744974:0.000000:0.000000 y y:@0.196696:0.761380:0.227546:0.761380:0.227546:0.744974:0.196696:0.744974:0.000000:0.000000:0.000000 2:@0.227494:0.755310:0.232731:0.755310:0.232731:0.745729:0.227494:0.745729:0.000000 x:@0.257553:0.761374:0.265008:0.761374:0.265008:0.744968:0.257553:0.744968:0.000000 2:@0.264950:0.755310:0.270187:0.755310:0.270187:0.745729:0.264950:0.745729:0.000000 2:@0.277209:0.760819:0.292542:0.760819:0.292542:0.747104:0.277209:0.747104:0.000000 x x:@0.310250:0.761374:0.341064:0.761374:0.341064:0.744968:0.310250:0.744968:0.000000:0.000000:0.000000 2:@0.341010:0.755310:0.346247:0.755310:0.346247:0.745729:0.341010:0.745729:0.000000 x:@0.371069:0.761374:0.378524:0.761374:0.378524:0.744968:0.371069:0.744968:0.000000 2:@0.378467:0.755310:0.383704:0.755310:0.383704:0.745729:0.378467:0.745729:0.000000 xy:@0.411599:0.761374:0.426656:0.761374:0.426656:0.744968:0.411599:0.744968:0.000000:0.000000 Para poder realizar la clasificación de semejanza, solo tendremos en cuenta que se :@0.073089:0.792314:0.710512:0.792314:0.710512:0.775880:0.073089:0.775880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cumpla la definición en primera instancia::@0.073089:0.808956:0.375255:0.808956:0.375255:0.792522:0.073089:0.792522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6 es semejante a 12 , dado que los dos tienen la variable de grado 1.:@0.073089:0.839896:0.586552:0.839896:0.586552:0.823462:0.073089:0.823462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.081998:0.839896:0.089453:0.839896:0.089453:0.823490:0.081998:0.823490:0.000000 x:@0.222630:0.839896:0.230085:0.839896:0.230085:0.823490:0.222630:0.823490:0.000000 x:@0.493309:0.839896:0.500763:0.839896:0.500763:0.823490:0.493309:0.823490:0.000000 2:@0.073071:0.873845:0.088404:0.873845:0.088404:0.860129:0.073071:0.860129:0.000000 7 es semejante a 15 , dado que los dos tienen la variable y de grado 1.:@0.088312:0.874400:0.602707:0.874400:0.602707:0.857966:0.088312:0.857966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.097221:0.874400:0.104695:0.874400:0.104695:0.857994:0.097221:0.857994:0.000000 y:@0.237871:0.874400:0.245344:0.874400:0.245344:0.857994:0.237871:0.857994:0.000000 20 es semejante a 2 , dado que los dos tienen las variables e y de grado 1.:@0.073053:0.908904:0.640119:0.908904:0.640119:0.892470:0.073053:0.892470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 xy:@0.090852:0.908904:0.105909:0.908904:0.105909:0.892498:0.090852:0.892498:0.000000:0.000000 xy:@0.230214:0.908904:0.245271:0.908904:0.245271:0.892498:0.230214:0.892498:0.000000:0.000000 x:@0.522079:0.908904:0.529534:0.908904:0.529534:0.892498:0.522079:0.892498:0.000000 10 es semejante a 3 , dado que ambos tienen la variable de grado 2.:@0.073053:0.943408:0.596077:0.943422:0.596077:0.926988:0.073053:0.926974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.090852:0.943408:0.098307:0.943408:0.098307:0.927002:0.090852:0.927002:0.000000 2:@0.098282:0.937358:0.103519:0.937358:0.103519:0.927777:0.098282:0.927777:0.000000 x:@0.227831:0.943422:0.235286:0.943422:0.235286:0.927016:0.227831:0.927016:0.000000 2:@0.235212:0.937358:0.240449:0.937358:0.240449:0.927777:0.235212:0.927777:0.000000 x:@0.502833:0.943422:0.510288:0.943422:0.510288:0.927016:0.502833:0.927016:0.000000 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