#Type/Example #Topic/Linear_Algebra

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Examples: N/A
Constructions: N/A
Generalizations: 1.1 Set

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Element enumeration

Element enumeration involves listing every element in the set. Let's define two sets.

  • Lower-case English letters:
L={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}
  • Upper-case English letters:
U={A,B,C,…,Z}

By definition of our sets, we see that lowercase letter "d" is an element of L while "d" is not an element of U.

Likewise, the upper case letter "Z" is not in L but is in U.