The overlapping sections show elements that belong to each of the two (or maybe three) sets that overlap there.The overlapping sections show elements that belong to each of the two (or maybe three) sets that overlap there.The overlapping sections show elements that belong to each of the two (or maybe three) sets that overlap there.The overlapping sections show elements that belong to each of the two (or maybe three) sets that overlap there.
The set of elements that are elements of the two (or more) given sets is called the intersection of the sets.
You need two sets to have an intersection. If you have two sets, call them R and S, then their intersection is the set T that contains all elements of R that also belong to S OR all elements of S and also belong to R...it's the same thing.
Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".
Two sets are equal if they have the same elements. Two sets are equivalent if there is a bijection from one set to the other. that is, each element of one set can be mapped, one-to-one, onto elements of the second set.
The overlapping sections show elements that belong to each of the two (or maybe three) sets that overlap there.The overlapping sections show elements that belong to each of the two (or maybe three) sets that overlap there.The overlapping sections show elements that belong to each of the two (or maybe three) sets that overlap there.The overlapping sections show elements that belong to each of the two (or maybe three) sets that overlap there.
Two sets are said to be equivalent if the elements of each set can be put into a one-to-one relationship with the elements of the other set.
If a set has six elements, for example {A, B, C, D, E, F}, then it may have the following subsets: - the set itself - 6 sets of five elements - 15 sets of four elements - 20 sets of three elements - 15 sets of two elements - 6 sets of one element - 1 set with no elements (the null set), for a total of 64 sets, which is 2^6, or 2 to the 6th power.
The set of elements that are elements of the two (or more) given sets is called the intersection of the sets.
The number of elements in a Cartesian product is equal to the product in the number of elements of each set. The idea of a Cartesian product is that you combine each element from set A with each element from set B. If the product set (the Cartesian product) of sets A and B has a finite number of elements, this may be due to the fact that both A and B are finite. However, there is another possibility: that one of the sets, for example, set A, has zero elements, and the other is infinite. In this case, the Cartesian product would also have zero elements.
equal sets with exactly the same elements and number of elements.equivalent sets with numbers of elements
You need two sets to have an intersection. If you have two sets, call them R and S, then their intersection is the set T that contains all elements of R that also belong to S OR all elements of S and also belong to R...it's the same thing.
equivalent sets are sets having the same number of elements Example: a= {dog, cat, buffalo, horse, cow} b= { lion, tiger, zebra, wolf, puma} set a has 5 elements, so with set b which has 5 elements. so, sets a and b are equivalent sets.
Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".
Polyploidy
An element doesn't have subsets. Sets can have subsets.
Two sets are equal if they have the same elements. Two sets are equivalent if there is a bijection from one set to the other. that is, each element of one set can be mapped, one-to-one, onto elements of the second set.