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Is the union of finite countable sets finite?
YES
Cartesian product of sets A and B is finite then does it follow that A and B are finite?
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.
What are the examples of a finite set?
In mathematics, a finite set is a set that has a finite number of elements. For example, (2,4,6,8,10) is a finite set with five elements. The number of elements of a finite set is a natural number (non-negative integer), and is called the cardinality of the set. A set that is not finite is called infinite. For example, the set of all positive integers is infinite: (1,2,3,4, . . .)
What is the cardinality of a union of two infinite sets?
The cardinality of finite sets are the number of elements included in them however, union of infinite sets can be different as it includes the matching of two different sets one by one and finding a solution by matching the same amount of elements in those sets.
Prove that a finite cartesian product of countable sets is countable?
here is the proof: http://planetmath.org/encyclopedia/ProductOfAFiniteNumberOfCountableSetsIsCountable.html
Give you examples of finite sets of numbers?
sets
What are finite sets?
They are sets with a finite number of elements. For example the days of the week, or the 12 months of the year. Modular arithmetic is based on finite sets.
What is the kinds of sets?
Closed sets and open sets, or finite and infinite sets.
Is the union of finite countable sets finite?
YES
What is the two kind of sets?
Closed sets and open sets, or finite and infinite sets.
What is kind of set?
Closed sets and open sets, or finite and infinite sets.
What the kinds of set?
Closed sets and open sets, or finite and infinite sets.
What are sets of finite?
They are numbers that terminate.
What are the examples of finite and infinite sets in your daily life?
The set of your friends is finite. The set of counting numbers (part of which you will use to count your friends) is infinite.
What are kind of set?
There are finite sets, countably infinite sets and uncountably infinite sets.
Can finite sets could be infinite sets?
The way I understand it, a finite set can not be an infinite set, because if it were an infinite set, then it would not be a finite set, and the original premise would be violated.
What is finite sets?
A finite set is a set that has numbers you can count. Its not like infinite with no end it has an end.
