問題一覧
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is a term used to describe repeating objects or events.
Pattern
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he stated "by using mathematics to organize and systematize our ideas about patterns, we have discovered a great secret: nature's patterns are not just there to be admired, they are vital clues to the rules that govern natural processes".
lan Stewart's book "Nature's Numbers",
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which means patterns formed without external intervention.
"self-organized patterns"
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which means patterns formed with external intervention.
invoked organized patterns
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is a sequence of numbers in which terms are obtained by adding the two previous terms in the sequence.
Fibonacci sequence
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Fibonacci sequence" was named after an Italian mathematician
Leonardo Pisano Bigollo
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Set is a well-defined collection of distinct objects
TRUE
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Element is a member of the set
TRUE
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Sets are denoted by CAPITAL LETTERS and enclosed by curly brackets
TRUE
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Cardinality is number of elements
TRUE
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Two methods of sets: Roster-listing, enumerating, enclosed by brackets, separated by comma; Rule- describing the elements of the set
TRUE
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empty set
null set
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one element
singleton set
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contains all elements
Universal set
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it is limited, otherwise it is infinite.
infinite
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exactly same elements
Equal
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same number of elements
equivalent
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a set of which all elements are contained in another set.
subset
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ALL
proper subset
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SOME AND NONE
improper subset
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combining the elements
Union
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common of the elements
Intersection
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set of all elements which are in the universal set U but not in the given set.
Complement
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is a product of sets A and B, denoted by A × B is the set of all ordered pairs (a, b) where a ∈ A and b ∈ B.
Cartesian
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______a set of ordered pairs defining the ______ between two sets.
RELATION
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each element of the domain is related to a single element in the codomain.
Function
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A relation may or may not be a function. All functions are relations.
TRUE
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first set
Domain
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second set
Co-domain
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subset of the co-domain of R (commonly used in the set Y).
Range
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Combined with, plus the sum of
Addition (+)
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increased by
Addition (+)
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total
Addition (+)
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more than
Addition (+)
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added to
addition (+)
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the difference of, decreased by, fewer than, less than, subtracted, from less
Subraction (-)
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the difference
Subtraction (-)