Aspectos Teóricos Generales Sobre Conjuntos

 

O@UTOT[EOG@ O@UTOT[EOG @ [@O\KZUOTHZOH EGCGNJG HNKZOEH@H  Hsoa`hturh=  Hsoa`htur h= Lu`dhnk`tgs Lu`dhnk`tgs dk nhtknètoehs nhtknètoehs O

Vrglksgr= Vrglksgr= Cojhrdg Nkmî Nkmîh h Turozg

Ak`krhcodhdkss sgjrk Eg`mu`tgs Ak`krhcodhdk

Cgs eg`mu`tgs sk rkprksk`th` eg` cktrhs nhyýseuchs= H, J, E, D,… ., y cgs kcknk`tgs dk u` eg`mu`tg eg` cktrhs no`ýseuchs= h, j, e, d, ………

Kmknpcg=   >  {, , , , }  o`doeh quk cgs kcknk`tgs dk  sg` , , , ,   Vhrh dkeor quk kc kcknk`tg   pkrtk`kek hc eg`mu`tg  sk kserojk=  ∂   y phrh kxprkshr quk kc kcknk`tg    `g pkrtk`kek hc eg`mu`tg  sk kserojk  ∏  

Eg`mu`tg vheîg ks hqukc quk ehrkek dk kcknk`tgs y sk kxprksh egng=   >  { }    > ∋  Eg`mu`tg [`ovkrshc ks kc eg`mu`tg lgrnhdg pgr tgdgs cgs kcknk`tgs quk sk eg`sodkrh` k` u` eg`tkxtg kspkeîloeg y sk rkprksk`th pgr   Uujeg`mu`tgs. Ukh`  y  dgs eg`mu`tgs. Dkeongs quk  kstè eg`tk`odg k`  g quk  ks u` sujeg`mu`tg dk , so tgdg cgs kcknk`tgs dk   pkrtk`kek` h . Uk kxprksh hsî=   ⊊  

Gtrh lgrnh dk o`doehrcg ks nkdoh`tk ch soauok`tk arèloeh

Dgs eg`mu`tgs sg` oauhcks so kstè` lgrnhdgs l grnhdgs pgr cgs nosngs kcknk`tgs [`oõ` dk eg`mu`tgs. Ch u`oõ` dk cgs eg`mu`tgs  y  sk rkprksk`th egng  ∭  y kstè lgrnhdg pgr cgs kcknk`tgs quk pkrtk`kek` h   g h  , arèloehnk`tk=

Kmknpcg 8=  { }   > 8,:,5,4    >  { 8,5,;,1}    ∭  > {8,:,5,4,;,1 } 

Kmknpcg :=  >  {  }   > { }   ∭  > {     } 

O`tkrskeeoõ` dk eg`mu`tgs. Ch o`tkrskeeoõ` dk dgs eg`mu`tgs  y  sk rkprksk`th pgr  ∯   y kstè lgrnhdg pgr cgs kcknk`tgs quk pkrtk`kek` h ch vkz h   y h , arèloehnk`tk=

 

  Kmknpcg 8=   >  { 8,:,5,4}   >  {8,5,;,1  { 8,5,;,1}}    ∯  > {8, 5} 

Kmknpcg :=  >  {  }   > { }   ∯  > {     } 

Kmkreoeogs phrh rksgcvkr

8.  Ehlï dk Egcgnjoh dkskh ng`thr u`h ehnphøh pujcoeothroh k` u` tgr`kg o`tkr`heog`hc dk Tk`os. Cgs tgr`kgs dk o`tkrïs sg`= [U Gpk`, Qonjckdg` y Hustrhcoh Gpk`. Vhrh kstg, rkhcozõ u`h pkqukøh o`vkstoaheoõ` dk nkrehdg, k`euksth`dg h :66 pkrsg`hs rkspketg h cgs phrtodgs h cgs quk bhjîh` hsostodg y k`eg`trõ quk= 56 `g bhjîh` hsostodg h `o`au`g dk cgs trks tgr`kgs 86 bhjîh` hsostodg h tgdgs :; hsostokrg` h Qonjckdg` y Hustrhcoh Gpk` :6 hsostokrg` h [U Gpk` y Hustrhcoh Gpk` pkrg `g h Qonjckdg`