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MATH 1350-Ch 2 Terms
Sets, Whole #s, Numeration Sys
27
Mathematics
Undergraduate 2
02/10/2013

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Term
Sets
Definition
collection of objects.
Term
Elements/Members
Definition
objects in a set
Term
3 ways to define a set
Definition
1. verbal description
2. Listing using braces { }
3. Set Builder notation: (x|x>2}
Term
Set Builder Notation
Definition
ex: (x|x>2}
"The set of all x such that x is greater than 2"
Term
Symbol "€" (or € with slash through it)
Definition
Element of (or NOT an element of)
Term
"=" or (or = with slash through it)
Definition
Equal to (or NOT equal to)
same ELEMENT, may differ in number of occurances
Term
"~"
Definition
Equivalent to
1-1 Correspondance, same # of elements
Term
C or (or C with slash through it)
Definition
Subset Every element of first set IS ALSO an element of second set
Term
C or (or C with slash through it)
Definition
Proper subset Somethint is included in the SECOND set that is NOT in the first set
Term
Number of Subsets
Definition

23 = 8 total subsets

2=base
3=# of elements

Term
Universal Set (universe)
Definition
the set comprised of all elements being considered
(the box around the circles)
Term
Finite Set
Definition
if it is EMPTY OR you can count or list/ it ends
Term
Infinite Set
Definition
NO END
...
Term
Disjoint Sets
Definition
two sets with NO COMMON elements
Term
Union "U"
Definition
the set that consists of ALL elements belonging to BOTH set A and set B.
Term
Intersection "upside down U"
Definition
the set of all elements common to set A and set B
Term
Compliment "represented by line over set name"
Definition
all elements NOT in the set
Term
Difference of Sets (relative complement)
Definition
the set of all elements in set A that are NOT in set B
Term
Cartesian Product of sets
Definition
AxB "A crosses B"
set of all ordered pairs from AxB
Term
Tally Numeration System
Definition
grouping by "hash" marks, later improved to include grouping by 5s
Term
Egyptian Numeration System
Definition
grouping by 10s
Term
Roman Numeration System
Definition
grouing, additive, multiplicative, subtractive,, positional, many symbols
Term
Babylonian Nymeration System
Definition
2 numerals
Base 60
Positional, additive
Term
Mayan Numeration System
Definition
3 symbols, verticle placement
Base 20
first system to use "zero"
Term
Hindu-Arabic Numeration System
Definition
Used today, 10 "digits" (0,1,2,3,4,5,6,7,8,9)
Grouping by 10s
Term
Dienes Blocks
Definition
base 10 pieces
Term
Expanded form (Expanded Notation)
Definition
ex 507
5x100 + 2x10 + 7x1
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