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PATTERN
is considered as any kind of regularity that the mind can recognize. These could be nonmathematical patterns, number patterns, man-made or natural
ARITMETIC SEQUENCE
common differnce
GEOMETRIC SEQUENCE
common ratio
PRECISE, CONCISE, POWERFUL
mathematics as a language? (3)
EXPRESSIONS
do not contain equality or inequality signs
MATHEMATICAL SENTENCE
analogue of an english sentence
SET
collection of elements
ELEMENTS
objects contained in the set ∈
UNIT OF A SET
a set that contains only one element
NULL SET
set that has no element
FINITE SET
elements in a given set is countable
INFINITE SET
elements in a given set is not countable
CARDINAL SET
measures the amount of elements within a set
EQUAL SET
two sets containing the exact same elements regardless of their order
JOINT SET
when the intersection of 2 elements is not empty
intersection of 2 sets / common element
DISJOINT SET
sets that have no elements in common
UNION OF SETS
combines the elements from both sets without duplicates
INTERSECTION
includes only the elements that are present in both sets
DIFFERENCE
includes the elements that are in the first set but not in the second set
COMPLIMENT
includes all the elements in the universal set that are not in the given set
FUNCTIONS
it is any set of ordered pairs.
DOMAIN
set of first elements of the ordered pairs
RANGE
set of second elements of the ordered pairs