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Flashcards on Sets
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What is a set?
A set is a collection of distinct objects, considered as an object in its own right.
What is an element in a set?
An element is a member or an object that belongs to a particular set.
What is the cardinality of a set?
The cardinality of a set is the number of elements in the set.
What is an empty set?
An empty set, also known as the null set, is a set that contains no elements.
What is the union of two sets?
The union of two sets is a set that contains all the elements of both sets.
What is the intersection of two sets?
The intersection of two sets is a set that contains only the common elements of both sets.
What is a subset?
A subset is a set where all the elements of one set are also elements of another set.
What is a proper subset?
A proper subset is a subset that is not equal to the original set.
What is the power set of a set?
The power set of a set is the set of all possible subsets of the original set.
What is the complement of a set?
The complement of a set is the set of all elements in the universal set that are not in the given set.
What is a Venn diagram?
A Venn diagram is a graphical representation of sets using circles or other shapes.
What is the difference between a set and a subset?
A set is a collection of distinct objects, while a subset is a set where all the elements are also elements of another set.
What is the symmetric difference of two sets?
The symmetric difference of two sets is a set that contains all the elements that are in either of the sets but not in their intersection.
What is the universal set?
The universal set is the set that contains all the elements under consideration in a particular context or discussion.
What is the disjoint set?
The disjoint set is a set that has no common elements with another set.
What is a set?
A set is a collection of distinct objects, considered as an object in its own right.
What is an element in a set?
An element is a member or an object that belongs to a particular set.
What is the cardinality of a set?
The cardinality of a set is the number of elements in the set.
What is an empty set?
An empty set, also known as the null set, is a set that contains no elements.
What is the union of two sets?
The union of two sets is a set that contains all the elements of both sets.
What is the intersection of two sets?
The intersection of two sets is a set that contains only the common elements of both sets.
What is a subset?
A subset is a set where all the elements of one set are also elements of another set.
What is a proper subset?
A proper subset is a subset that is not equal to the original set.
What is the power set of a set?
The power set of a set is the set of all possible subsets of the original set.
What is the complement of a set?
The complement of a set is the set of all elements in the universal set that are not in the given set.
What is a Venn diagram?
A Venn diagram is a graphical representation of sets using circles or other shapes.
What is the difference between a set and a subset?
A set is a collection of distinct objects, while a subset is a set where all the elements are also elements of another set.
What is the symmetric difference of two sets?
The symmetric difference of two sets is a set that contains all the elements that are in either of the sets but not in their intersection.
What is the universal set?
The universal set is the set that contains all the elements under consideration in a particular context or discussion.
What is the disjoint set?
The disjoint set is a set that has no common elements with another set.
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