Term
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Definition
| a colletion fo well defined objects,c alled elements which is described eiher by a listing of all of the objects (a roster) or by a symbolic description that specifies the objects in a set (a rule), In math, we use braces {}, to show a set and name it using a capital letter |
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Term
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Definition
| one fo the objects in a set. We indicate this relationship by using a lower case Greek letter (epsilon) as follows: 2 is an element fo set A would be represented by 2_A |
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Term
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Definition
| a set containing a quantity of members or elements which cannot be counted. AN ellipsis is used in ssuch a set, to indicate that quantity |
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Term
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Definition
| a set whose meenrs can be counted beucase it has a definite muber of elements |
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Term
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Definition
a set which contains no memebers It si sometimes called teh null set adn is denoted by empty braces{}
an empty set is a subset of any set
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Term
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Definition
| a mathematical shorthand used oto desctipbe a set For example, "the set of all number srepresented by n such that n is a multiple of 5" would be {nln is a multiple of 5} |
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Term
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Definition
| an operation on two or more sets which unties or combines the sets so that all fo the emenets in all of hte sets are listed in asingle set. each element apperars only once in teh unioun even if it apperas in both sets. THis operation is symbolized by a "cup" (U). "the union of sets x and y would be x U y" |
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Term
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Definition
| an peration on two or more sets, which selects onl those elements common to (or belonging to) all of the original sets. This oeration is symoblized by a cap (upside down U) |
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Term
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Definition
| two or more sets wihch have no members in common |
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Term
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Definition
| two or more sets which contain exactly the same elements. This relation is symbolized by the standard equality symbol (=). Set M is wqual to set N would be M=N |
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Term
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Definition
| a set all of whose elements are contained in antoher set. tHis realtion is symbolized as follows: set E is a subset of set F would be reperesented by e (sideways U to the right with line under it) f. |
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Term
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Definition
| a subset which contains only part of another set. THis relation is symolized by an U on its side. |
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Definition
| a subset which contains all of hte element sof another set. It is equal to the original set |
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Term
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Definition
| a pictorial reperesentaion of the relationships between sets, within a Universal set. The universla set is shown by a rectangle and is represented by a U all other sets are shown by circles placced appropriately in teh rectangle |
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