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Set.md (769B)


      1 # Set
      2 
      3 U 2.1.1
      4 
      5 **Definition:** A set is an unordered list of elements.
      6 
      7 Common Sets:
      8 
      9 $\N$ - Natural Numbers
     10 
     11 $\mathbb{W}$ - Whole Numbers (0 + Natural Numbers)
     12 
     13 $\Z$ - Integers
     14 
     15 $\mathbb{Q}$ - Rational Numbers ($\frac{a}{b}, b \neq 0$) 
     16 
     17 $\R$ - Real numbers (not imaginary)
     18 
     19 $\mathbb{C}$ - Complex numbers (of the form a + bi)
     20 
     21 ## Specifications
     22 
     23 Set specification types:
     24 
     25 1. Roster - list of all members (discrete)
     26 2. Set Builder - specify all members by form (discrete or continuous)
     27 3. Interval Notation - specify set as [a,b) where a is inclusive and b is exclusive (continuous)
     28 
     29 Inverval notation is best for continuous sets where it is applicable, otherwise we generally use set builder notation unless there is a really small cardinality of the specified set.