cantor set
Universal set.
Once example is the whole numbers and subsets are the numbers 1,2 and 3 written {1,2,3}. Another example is all the colors. Subsets would be any number of individual colors. The universal set may be finite or infinite.
Sets are collection of distinct objects. In mathematics there are different types of sets like Finite set, Infinite set, Universal set, subset, equal set, equivalent set. Example of Finite set {1,2,3,4}. Infinite set:{1,2,3....}.
There is only one empty set - the universal empty set. It is a set that contains no elements. It is usually denoted by { } or the Greek letter phi = Φ (not pi = π).
This television set is only useful with a universal remote.
cantor set
It is the set of all the things you are dealing with or considering. For example, if I am looking at subsets that are even integers and I am looking at all integers, then the set of all integers is the universal set. If we are looking at hair color, some subsets are redheads, blondes etc. The universal sets is the set of all possible hair colors.
Universal set.
Once example is the whole numbers and subsets are the numbers 1,2 and 3 written {1,2,3}. Another example is all the colors. Subsets would be any number of individual colors. The universal set may be finite or infinite.
Sets are collection of distinct objects. In mathematics there are different types of sets like Finite set, Infinite set, Universal set, subset, equal set, equivalent set. Example of Finite set {1,2,3,4}. Infinite set:{1,2,3....}.
The universal set is the set of all possible elements under consideration. You can have a universal set of all people, or all bird species, or all numbers or whatever. You can even have a universal set of all people and all bird species and all numbers as one big set.
"Universe" and "universal set" are two unrelated concepts.
example of universal agent
If the universal set contains N elements then it has 2N subsets.
This example will set you apart!
There is only one empty set - the universal empty set. It is a set that contains no elements. It is usually denoted by { } or the Greek letter phi = Φ (not pi = π).