You can use ellipsis (three points), implying there is some logical sequence (which should not be too hard to guess). For example; {1, 3, 5, 7, 9, ...} implies the set of odd numbers. Or you could write a rule, like "the set of all odd numbers", "the set of prime numbers", etc.
Some formula similar to this is often used: {x : x > 5} (the set of all x, such that x > 5).
The set of integers is an infinite set as there are an infinite number of integers.
A null set, a finite set, a countable infinite set and an uncountably infinite set.
Infinite set is a counting number has no end.ex:{1,2,3,4....}
An infinite set whose elements can be put into a one-to-one correspondence with the set of integers is said to be countably infinite; otherwise, it is called uncountably infinite.
The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three.
The set of integers is an infinite set as there are an infinite number of integers.
infinite
No. It can be infinite, finite or null. The set of odd integers is infinite, the set of even integers is infinite. Their intersection is void, or the null set.
Yes. For example, the set of odd natural numbers is a infinite subset of the set of integers.
It seems there might be a typo in your question as it mentions "infinite set" twice. However, if you're looking to differentiate between a countably infinite set and an uncountably infinite set, a countably infinite set, like the set of natural numbers, can be put into a one-to-one correspondence with the positive integers. In contrast, an uncountably infinite set, such as the set of real numbers, cannot be listed in such a way; its size is strictly greater than that of any countably infinite set.
for(; ;);..this will do for an infinite loop
There are an infinite number of them. All you have to do is write down a pair of curly brackets facing each other, and you have an empty set.
A null set, a finite set, a countable infinite set and an uncountably infinite set.
Infinite set is a counting number has no end.ex:{1,2,3,4....}
An infinite set whose elements can be put into a one-to-one correspondence with the set of integers is said to be countably infinite; otherwise, it is called uncountably infinite.
The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three. The infinite set of numbers which are multiples of three.
No. Large, but not infinite.