40:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
2. :@0.115209:0.701783:0.133950:0.701783:0.133950:0.684647:0.115209:0.684647:0.000000:0.000000:0.000000
Dados el conjunto   = {1, 2, 3, 4} y la siguiente relación  = {(1, 1); (1, 2); (1, 3); (2, 1); (2, 2); (2, 3); (3, 1); :@0.148452:0.701783:0.883881:0.701783:0.883881:0.685394:0.148452:0.685394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.287231:0.701783:0.297127:0.701783:0.297127:0.685421:0.287231:0.685421:0.000000
R :@0.550728:0.701783:0.563000:0.701783:0.563000:0.685421:0.550728:0.685421:0.000000:0.000000
(3, 2); (3, 3)}, :@0.148637:0.718379:0.239651:0.718379:0.239651:0.701990:0.148637:0.701990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verificamos:@0.239651:0.718379:0.327532:0.718379:0.327532:0.701755:0.239651:0.701755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si   cumple con las propiedades reflexiva, simétrica y transitiva.:@0.327532:0.718379:0.790910:0.718379:0.790910:0.701990:0.327532:0.701990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.346328:0.718379:0.355284:0.718379:0.355284:0.702018:0.346328:0.702018:0.000000
•   sería reflexiva si contuviese a: (1, 1); (2, 2); (3, 3) y (4;4) ; pero como no contiene al par (4, 4) , no es :@0.148710:0.742098:0.884027:0.742098:0.884027:0.725709:0.148710:0.725709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.163784:0.742098:0.172740:0.742098:0.172740:0.725737:0.163784:0.725737:0.000000
reflexiva.:@0.163784:0.758694:0.227286:0.758694:0.227286:0.742305:0.163784:0.742305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•   es simétrica porque:  1,2, 2,1:@0.148710:0.783672:0.402926:0.783681:0.402926:0.767292:0.148710:0.767283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.163784:0.783672:0.172740:0.783672:0.172740:0.767311:0.163784:0.767311:0.000000
( ) ( ):@0.333176:0.786813:0.406481:0.786813:0.406481:0.766879:0.333176:0.766879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.444571:0.786813:0.517028:0.786813:0.517028:0.766879:0.444571:0.766879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ) ( ):@0.564185:0.786813:0.644400:0.786813:0.644400:0.766879:0.564185:0.766879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.409505:0.784358:0.422644:0.784358:0.422644:0.768785:0.409505:0.768785:0.000000
∈:@0.529137:0.784358:0.542276:0.784358:0.542276:0.768785:0.529137:0.768785:0.000000
∈:@0.647442:0.784358:0.660581:0.784358:0.660581:0.768785:0.647442:0.768785:0.000000
.:@0.370365:0.783681:0.373571:0.783681:0.373571:0.767292:0.370365:0.767292:0.000000
, 1,3; 3,1;:@0.435912:0.783681:0.521748:0.783681:0.521748:0.767292:0.435912:0.767292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.440058:0.783681:0.443264:0.783681:0.443264:0.767292:0.440058:0.767292:0.000000
.:@0.481373:0.783681:0.484579:0.783681:0.484579:0.767292:0.481373:0.767292:0.000000
.:@0.522687:0.783681:0.525894:0.783681:0.525894:0.767292:0.522687:0.767292:0.000000
, 2,3; 3,2:@0.555562:0.783681:0.638173:0.783681:0.638173:0.767292:0.555562:0.767292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.559690:0.783681:0.562896:0.783681:0.562896:0.767292:0.559690:0.767292:0.000000
.:@0.604875:0.783681:0.608081:0.783681:0.608081:0.767292:0.604875:0.767292:0.000000
.:@0.673040:0.783681:0.676247:0.783681:0.676247:0.767292:0.673040:0.767292:0.000000
R:@0.425996:0.783681:0.434952:0.783681:0.434952:0.767319:0.425996:0.767319:0.000000
R:@0.545628:0.783681:0.554584:0.783681:0.554584:0.767319:0.545628:0.767319:0.000000
R:@0.663932:0.783681:0.672888:0.783681:0.672888:0.767319:0.663932:0.767319:0.000000
 y el resto de sus elementos :@0.674431:0.783681:0.883933:0.783681:0.883933:0.767292:0.674431:0.767292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son de la forma ( ,  ) , por lo tanto   sí cumple con la propiedad simétrica.:@0.163782:0.800277:0.701272:0.800277:0.701272:0.783888:0.163782:0.783888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.285974:0.800277:0.308143:0.800277:0.308143:0.783916:0.285974:0.783916:0.000000:0.000000:0.000000
R:@0.414855:0.800277:0.423811:0.800277:0.423811:0.783916:0.414855:0.783916:0.000000
•   es transitiva porque::@0.148709:0.823996:0.324119:0.823996:0.324119:0.807607:0.148709:0.807607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.163782:0.823996:0.172738:0.823996:0.172738:0.807635:0.163782:0.807635:0.000000
• :@0.173825:0.847715:0.182413:0.847715:0.182413:0.831326:0.173825:0.831326:0.000000:0.000000
∧:@0.216561:0.852176:0.185381:0.852176:0.185381:0.836603:0.216561:0.836603:0.000000
⇒:@0.258852:0.852176:0.227673:0.852176:0.227673:0.836603:0.258852:0.836603:0.000000
1 2 2 3:@0.190375:0.851498:0.256746:0.851498:0.256746:0.835829:0.190375:0.835829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 3:@0.278798:0.851498:0.303758:0.851498:0.303758:0.835829:0.278798:0.835829:0.000000:0.000000:0.000000
R:@0.196806:0.851498:0.205762:0.851498:0.205762:0.836105:0.196806:0.836105:0.000000
R:@0.238213:0.851498:0.247169:0.851498:0.247169:0.836105:0.238213:0.836105:0.000000
R:@0.285224:0.851498:0.294180:0.851498:0.294180:0.836105:0.285224:0.836105:0.000000
 :@0.317078:0.847726:0.321114:0.847726:0.321114:0.831337:0.317078:0.831337:0.000000
 :@0.356444:0.847726:0.360479:0.847726:0.360479:0.831337:0.356444:0.831337:0.000000
•  :@0.416754:0.847726:0.429377:0.847726:0.429377:0.831337:0.416754:0.831337:0.000000:0.000000:0.000000
∧:@0.456597:0.850919:0.428864:0.850919:0.428864:0.835346:0.456597:0.835346:0.000000
⇒:@0.495443:0.850919:0.467709:0.850919:0.467709:0.835346:0.495443:0.835346:0.000000
3 1 1 2:@0.431997:0.850241:0.492922:0.850241:0.492922:0.834571:0.431997:0.834571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 2:@0.516544:0.850241:0.543808:0.850241:0.543808:0.834571:0.516544:0.834571:0.000000:0.000000:0.000000
R:@0.440731:0.850241:0.449687:0.850241:0.449687:0.834848:0.440731:0.834848:0.000000
R:@0.474399:0.850241:0.483354:0.850241:0.483354:0.834848:0.474399:0.834848:0.000000
R:@0.525285:0.850241:0.534240:0.850241:0.534240:0.834848:0.525285:0.834848:0.000000
• :@0.173842:0.871450:0.182429:0.871450:0.182429:0.855061:0.173842:0.855061:0.000000:0.000000
∧:@0.216142:0.874643:0.184962:0.874643:0.184962:0.859070:0.216142:0.859070:0.000000
⇒:@0.258433:0.874643:0.227254:0.874643:0.227254:0.859070:0.258433:0.859070:0.000000
1 3 3 2:@0.190380:0.873965:0.255912:0.873965:0.255912:0.858295:0.190380:0.858295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 2:@0.278383:0.873965:0.303343:0.873965:0.303343:0.858295:0.278383:0.858295:0.000000:0.000000:0.000000
R:@0.196811:0.873965:0.205767:0.873965:0.205767:0.858572:0.196811:0.858572:0.000000
R:@0.237389:0.873965:0.246345:0.873965:0.246345:0.858572:0.237389:0.858572:0.000000
R:@0.284820:0.873965:0.293776:0.873965:0.293776:0.858572:0.284820:0.858572:0.000000
 :@0.316660:0.871450:0.320695:0.871450:0.320695:0.855061:0.316660:0.855061:0.000000
 :@0.356445:0.871450:0.360481:0.871450:0.360481:0.855061:0.356445:0.855061:0.000000
•  :@0.416759:0.871450:0.429382:0.871450:0.429382:0.855061:0.416759:0.855061:0.000000:0.000000:0.000000
∧:@0.453141:0.875900:0.425408:0.875900:0.425408:0.860327:0.453141:0.860327:0.000000
⇒:@0.491987:0.875900:0.464253:0.875900:0.464253:0.860327:0.491987:0.860327:0.000000
1 1 1 2:@0.430844:0.875222:0.489466:0.875222:0.489466:0.859553:0.430844:0.859553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 2:@0.511937:0.875222:0.536897:0.875222:0.536897:0.859553:0.511937:0.859553:0.000000:0.000000:0.000000
R:@0.437275:0.875222:0.446231:0.875222:0.446231:0.859829:0.437275:0.859829:0.000000
R:@0.470943:0.875222:0.479898:0.875222:0.479898:0.859829:0.470943:0.859829:0.000000
R:@0.518373:0.875222:0.527329:0.875222:0.527329:0.859829:0.518373:0.859829:0.000000
• :@0.173842:0.895174:0.182429:0.895174:0.182429:0.878785:0.173842:0.878785:0.000000:0.000000
∧:@0.220017:0.898367:0.192707:0.898367:0.192707:0.882794:0.220017:0.882794:0.000000
⇒:@0.258438:0.898367:0.231129:0.898367:0.231129:0.882794:0.258438:0.882794:0.000000
2 3 31:@0.191528:0.897689:0.258630:0.897689:0.258630:0.882019:0.191528:0.882019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 1:@0.279531:0.897689:0.306063:0.897689:0.306063:0.882019:0.279531:0.882019:0.000000:0.000000:0.000000
R:@0.200686:0.897689:0.209642:0.897689:0.209642:0.882296:0.200686:0.882296:0.000000
R:@0.241264:0.897689:0.250220:0.897689:0.250220:0.882296:0.241264:0.882296:0.000000
R:@0.288695:0.897689:0.297651:0.897689:0.297651:0.882296:0.288695:0.882296:0.000000
 :@0.319379:0.895174:0.323414:0.895174:0.323414:0.878785:0.319379:0.878785:0.000000
 :@0.356442:0.895174:0.360478:0.895174:0.360478:0.878785:0.356442:0.878785:0.000000
•  Así sucesivamente.:@0.416750:0.895174:0.567448:0.895174:0.567448:0.878785:0.416750:0.878785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El producto cartesiano de los conjuntos A y B se define como: :@0.115200:0.175597:0.570820:0.175597:0.570820:0.159208:0.115200:0.159208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.619987:0.179150:0.628403:0.179150:0.628403:0.159591:0.619987:0.159591:0.000000
}:@0.765443:0.179150:0.773859:0.179150:0.773859:0.159591:0.765443:0.159591:0.000000
(:@0.628305:0.178843:0.634143:0.178843:0.634143:0.159877:0.628305:0.159877:0.000000
):@0.657936:0.178843:0.663774:0.178843:0.663774:0.159877:0.657936:0.159877:0.000000
×=:@0.585469:0.176508:0.618308:0.176508:0.618308:0.161691:0.585469:0.161691:0.000000:0.000000
∈:@0.688178:0.176508:0.700679:0.176508:0.700679:0.161691:0.688178:0.161691:0.000000
∈:@0.741426:0.176508:0.753927:0.176508:0.753927:0.161691:0.741426:0.161691:0.000000
AB:@0.574709:0.175863:0.605444:0.175863:0.605444:0.160296:0.574709:0.160296:0.000000:0.000000
ab:@0.634777:0.175863:0.657343:0.175863:0.657343:0.160296:0.634777:0.160296:0.000000:0.000000
a:@0.676173:0.175863:0.684993:0.175863:0.684993:0.160296:0.676173:0.160296:0.000000
A yb:@0.704910:0.175863:0.738241:0.175863:0.738241:0.160296:0.704910:0.160296:0.000000:0.000000:0.000000:0.000000
B:@0.756774:0.175863:0.765190:0.175863:0.765190:0.160296:0.756774:0.160296:0.000000
,:@0.644210:0.175863:0.647261:0.175863:0.647261:0.160270:0.644210:0.160270:0.000000
/:@0.666881:0.175863:0.673035:0.175863:0.673035:0.160270:0.666881:0.160270:0.000000
.:@0.713589:0.175863:0.716640:0.175863:0.716640:0.160270:0.713589:0.160270:0.000000
.:@0.726196:0.175863:0.729246:0.175863:0.729246:0.160270:0.726196:0.160270:0.000000
.:@0.774114:0.175863:0.777165:0.175863:0.777165:0.160270:0.774114:0.160270:0.000000
Si   contiene   elementos y   contiene   elementos, entonces  ×  contiene  ·  elementos.:@0.115209:0.199329:0.796073:0.199329:0.796073:0.182940:0.115209:0.182940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.131646:0.199329:0.141542:0.199329:0.141542:0.182967:0.131646:0.182967:0.000000
n:@0.214810:0.199329:0.224319:0.199329:0.224319:0.182967:0.214810:0.182967:0.000000
B:@0.322481:0.199329:0.331326:0.199329:0.331326:0.182967:0.322481:0.182967:0.000000
m:@0.404595:0.199329:0.419226:0.199329:0.419226:0.182967:0.404595:0.182967:0.000000
A B:@0.580392:0.199329:0.610116:0.199329:0.610116:0.182967:0.580392:0.182967:0.000000:0.000000:0.000000
n m:@0.683385:0.199329:0.711085:0.199329:0.711085:0.182967:0.683385:0.182967:0.000000:0.000000:0.000000
Una relación binaria   de   en   es una correspondencia de los elementos del conjunto A con los elemen-:@0.115209:0.223048:0.879827:0.223048:0.879827:0.206659:0.115209:0.206659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.263625:0.223048:0.272581:0.223048:0.272581:0.206686:0.263625:0.206686:0.000000
A:@0.298472:0.223048:0.308367:0.223048:0.308367:0.206686:0.298472:0.206686:0.000000
B:@0.334111:0.223048:0.342956:0.223048:0.342956:0.206686:0.334111:0.206686:0.000000
tos de un conjunto  , que relacionan dichos elementos respectivamente con un criterio dado: :@0.115209:0.240446:0.805447:0.240446:0.805447:0.224057:0.115209:0.224057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.258685:0.240446:0.267530:0.240446:0.267530:0.224085:0.258685:0.224085:0.000000
⊆ ×:@0.820222:0.239850:0.857339:0.239850:0.857339:0.225032:0.820222:0.225032:0.000000:0.000000:0.000000
R:@0.808211:0.239205:0.816732:0.239205:0.816732:0.224559:0.808211:0.224559:0.000000
AB:@0.836952:0.239205:0.867688:0.239205:0.867688:0.224559:0.836952:0.224559:0.000000:0.000000
Se dice que :@0.115209:0.265587:0.204638:0.265587:0.204638:0.249198:0.115209:0.249198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.219829:0.266186:0.232330:0.266186:0.232330:0.251369:0.219829:0.251369:0.000000
x:@0.208520:0.265541:0.215621:0.265541:0.215621:0.249974:0.208520:0.249974:0.000000
A:@0.236556:0.265541:0.245971:0.265541:0.245971:0.249974:0.236556:0.249974:0.000000
 está relacionado con y    , si y solo si, :@0.249266:0.265587:0.534268:0.265587:0.534268:0.249198:0.249266:0.249198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.421712:0.266265:0.434851:0.266265:0.434851:0.250692:0.421712:0.250692:0.000000
B:@0.438887:0.265587:0.447732:0.265587:0.447732:0.249226:0.438887:0.249226:0.000000
(:@0.536753:0.267508:0.542591:0.267508:0.542591:0.248542:0.536753:0.248542:0.000000
):@0.567436:0.267508:0.573274:0.267508:0.573274:0.248542:0.567436:0.248542:0.000000
∈:@0.576153:0.265173:0.588654:0.265173:0.588654:0.250356:0.576153:0.250356:0.000000
xy:@0.544277:0.264528:0.565843:0.264528:0.565843:0.248961:0.544277:0.248961:0.000000:0.000000
R:@0.591845:0.264528:0.600366:0.264528:0.600366:0.248961:0.591845:0.248961:0.000000
,:@0.552991:0.264528:0.556042:0.264528:0.556042:0.248935:0.552991:0.248935:0.000000
,:@0.601260:0.264528:0.604311:0.264528:0.604311:0.248935:0.601260:0.248935:0.000000
y se escribe :@0.607582:0.265587:0.696163:0.265587:0.696163:0.249198:0.607582:0.249198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xRy:@0.696163:0.265587:0.720414:0.265587:0.720414:0.249226:0.696163:0.249226:0.000000:0.000000:0.000000
.:@0.720414:0.265587:0.723621:0.265587:0.723621:0.249198:0.720414:0.249198:0.000000
Una relación   de   en  , o simplemente sobre   :@0.115214:0.291920:0.475286:0.291920:0.475286:0.275531:0.115214:0.275531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.211259:0.291920:0.220214:0.291920:0.220214:0.275559:0.211259:0.275559:0.000000
A:@0.247248:0.291920:0.257143:0.291920:0.257143:0.275559:0.247248:0.275559:0.000000
A:@0.284029:0.291920:0.293925:0.291920:0.293925:0.275559:0.284029:0.275559:0.000000
A:@0.461355:0.291920:0.471250:0.291920:0.471250:0.275559:0.461355:0.275559:0.000000
(:@0.477769:0.293837:0.415263:0.293837:0.415263:0.274871:0.477769:0.274871:0.000000
):@0.546114:0.293837:0.483608:0.293837:0.483608:0.274871:0.546114:0.274871:0.000000
⊆ ×:@0.496249:0.291501:0.533367:0.291501:0.533367:0.276684:0.496249:0.276684:0.000000:0.000000:0.000000
R:@0.484238:0.290856:0.492760:0.290856:0.492760:0.276210:0.484238:0.276210:0.000000
AA:@0.512979:0.290856:0.546099:0.290856:0.546099:0.276210:0.512979:0.276210:0.000000:0.000000
,:@0.553319:0.290856:0.556370:0.290856:0.556370:0.275947:0.553319:0.275947:0.000000
 se dice::@0.560926:0.291915:0.619047:0.291915:0.619047:0.275526:0.560926:0.275526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Reflexiva cuando: :@0.115217:0.315634:0.262104:0.315634:0.262104:0.299245:0.115217:0.299245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀∈:@0.264587:0.316239:0.300793:0.316239:0.300793:0.301422:0.264587:0.301422:0.000000:0.000000
x:@0.276982:0.315594:0.284083:0.315594:0.284083:0.300027:0.276982:0.300027:0.000000
A xRx:@0.305018:0.315594:0.345888:0.315594:0.345888:0.300027:0.305018:0.300027:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.316275:0.315594:0.319325:0.315594:0.319325:0.300001:0.316275:0.300001:0.000000
•  Simétrica cuando: :@0.115209:0.339364:0.265761:0.339364:0.265761:0.322975:0.115209:0.322975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.268254:0.340146:0.236922:0.340146:0.236922:0.325329:0.268254:0.325329:0.000000
∈:@0.312087:0.340146:0.280755:0.340146:0.280755:0.325329:0.312087:0.325329:0.000000
⇒:@0.373555:0.340146:0.342223:0.340146:0.342223:0.325329:0.373555:0.325329:0.000000
x y:@0.280650:0.339501:0.305052:0.339501:0.305052:0.324855:0.280650:0.324855:0.000000:0.000000:0.000000
A xRy:@0.328817:0.339501:0.369703:0.339501:0.369703:0.324855:0.328817:0.324855:0.000000:0.000000:0.000000:0.000000:0.000000
yRx:@0.395010:0.339501:0.417398:0.339501:0.417398:0.324855:0.395010:0.324855:0.000000:0.000000:0.000000
,:@0.289364:0.339501:0.292414:0.339501:0.292414:0.324592:0.289364:0.324592:0.000000
. .:@0.293291:0.339501:0.308948:0.339501:0.308948:0.324592:0.293291:0.324592:0.000000:0.000000:0.000000
::@0.340070:0.339501:0.343120:0.339501:0.343120:0.324592:0.340070:0.324592:0.000000
•  Transitiva cuando: :@0.115209:0.363088:0.266113:0.363088:0.266113:0.346699:0.115209:0.346699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.268605:0.363871:0.240026:0.363871:0.240026:0.349054:0.268605:0.349054:0.000000
∈:@0.326139:0.363871:0.297560:0.363871:0.297560:0.349054:0.326139:0.349054:0.000000
∧:@0.385864:0.363871:0.357285:0.363871:0.357285:0.349054:0.385864:0.349054:0.000000
⇒:@0.425016:0.363871:0.396437:0.363871:0.396437:0.349054:0.425016:0.349054:0.000000
x y z:@0.281001:0.363226:0.322112:0.363226:0.322112:0.348580:0.281001:0.348580:0.000000:0.000000:0.000000:0.000000:0.000000
A xRy yRz:@0.342866:0.363226:0.421344:0.363226:0.421344:0.348580:0.342866:0.348580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xRz:@0.446482:0.363226:0.468679:0.363226:0.468679:0.348580:0.446482:0.348580:0.000000:0.000000:0.000000
, ,:@0.289715:0.363226:0.310036:0.363226:0.310036:0.348317:0.289715:0.348317:0.000000:0.000000:0.000000
. .:@0.293643:0.363226:0.313964:0.363226:0.313964:0.348317:0.293643:0.348317:0.000000:0.000000:0.000000
,:@0.352257:0.363226:0.355307:0.363226:0.355307:0.348317:0.352257:0.348317:0.000000
.:@0.356184:0.363226:0.359235:0.363226:0.359235:0.348317:0.356184:0.348317:0.000000
Actividad resuelta:@0.115209:0.394357:0.264707:0.394357:0.264707:0.376814:0.115209:0.376814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.115209:0.414213:0.130227:0.414213:0.130227:0.397077:0.115209:0.397077:0.000000:0.000000
 :@0.130227:0.414045:0.133769:0.414045:0.133769:0.397741:0.130227:0.397741:0.000000
Dados los conjuntos A = {1, 2, 3} y B = {4, 5}, :@0.148444:0.414045:0.455539:0.414045:0.455539:0.398452:0.148444:0.398452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hallamos:@0.455539:0.414045:0.521639:0.414045:0.521639:0.398228:0.455539:0.398228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 A×B:@0.521639:0.414045:0.555040:0.414045:0.555040:0.398452:0.521639:0.398452:0.000000:0.000000:0.000000:0.000000
A B:@0.148452:0.437937:0.178176:0.437937:0.178176:0.421576:0.148452:0.421576:0.000000:0.000000:0.000000
×  = {(1, 4); (1, 5); (2, 4); (2, 5); (3, 4); (3, 5)}.:@0.158348:0.437937:0.461534:0.437937:0.461534:0.421548:0.158348:0.421548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115209:0.460688:0.118751:0.460688:0.118751:0.444384:0.115209:0.444384:0.000000
Una relación de   en   es por ejemplo:   = {(1, 4); (2, 4); (3, 4)}, que a cada elemento de   le hace corres-:@0.146839:0.460688:0.879896:0.460688:0.879896:0.445095:0.146839:0.445095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.261734:0.460688:0.271149:0.460688:0.271149:0.445121:0.261734:0.445121:0.000000
B:@0.297817:0.460688:0.306233:0.460688:0.306233:0.445121:0.297817:0.445121:0.000000
R:@0.423881:0.460688:0.432402:0.460688:0.432402:0.445121:0.423881:0.445121:0.000000
A:@0.763717:0.460688:0.773133:0.460688:0.773133:0.445121:0.763717:0.445121:0.000000
ponder un número par de  .:@0.146835:0.476479:0.344558:0.476479:0.344558:0.460886:0.146835:0.460886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.333091:0.476479:0.341507:0.476479:0.341507:0.460912:0.333091:0.460912:0.000000
9:@0.054068:0.122645:0.076443:0.122645:0.076443:0.065614:0.054068:0.065614:0.000000
Producto cartesiano:@0.115891:0.141978:0.412157:0.141978:0.412157:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.42. Calcular el producto cartesiano entre dos conjuntos para definir relaciones binarias (subconjuntos), representándolas con pares ordenados.  :@0.125388:0.069719:0.819800:0.069719:0.819800:0.059289:0.125388:0.059289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.43. Identificar relaciones reflexivas, simétricas, transitivas y de equivalencia sobre un subconjunto del producto cartesiano.:@0.125388:0.080280:0.717835:0.080280:0.717835:0.069851:0.125388:0.069851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representación sagital A×B:@0.267465:0.643104:0.449511:0.643104:0.449511:0.628205:0.267465:0.628205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representación cartesiana A×B:@0.564518:0.670086:0.771492:0.670086:0.771492:0.655187:0.564518:0.655187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.306692:0.548102:0.313232:0.548102:0.313232:0.536182:0.306692:0.536182:0.000000
4:@0.412232:0.551310:0.418772:0.551310:0.418772:0.539391:0.412232:0.539391:0.000000
A:@0.305655:0.530093:0.315455:0.530093:0.315455:0.515194:0.305655:0.515194:0.000000
B:@0.401898:0.530093:0.410358:0.530093:0.410358:0.515194:0.401898:0.515194:0.000000
5:@0.403802:0.573940:0.410342:0.573940:0.410342:0.562021:0.403802:0.562021:0.000000
2:@0.291615:0.573940:0.298155:0.573940:0.298155:0.562021:0.291615:0.562021:0.000000
3:@0.304910:0.604417:0.311450:0.604417:0.311450:0.592498:0.304910:0.592498:0.000000
6:@0.605689:0.504574:0.612229:0.504574:0.612229:0.492655:0.605689:0.492655:0.000000
4:@0.605689:0.546809:0.612229:0.546809:0.612229:0.534890:0.605689:0.534890:0.000000
2:@0.605689:0.590392:0.612229:0.590392:0.612229:0.578473:0.605689:0.578473:0.000000
2:@0.667967:0.639497:0.674508:0.639497:0.674508:0.627578:0.667967:0.627578:0.000000
y:@0.624148:0.487101:0.628909:0.487101:0.628909:0.476689:0.624148:0.476689:0.000000
x:@0.744171:0.625921:0.748920:0.625921:0.748920:0.615509:0.744171:0.615509:0.000000
4:@0.723200:0.639491:0.729740:0.639491:0.729740:0.627572:0.723200:0.627572:0.000000
0:@0.605692:0.639491:0.612232:0.639491:0.612232:0.627572:0.605692:0.627572:0.000000
(1, 4):@0.631223:0.555896:0.656673:0.555896:0.656673:0.543976:0.631223:0.543976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(3, 4):@0.686667:0.555896:0.712117:0.555896:0.712117:0.543976:0.686667:0.543976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2, 4):@0.658308:0.540929:0.683758:0.540929:0.683758:0.529009:0.658308:0.529009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000