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The set of real numbers is simply denoted as
{-∞,…,-5,-4,-3,-2,-1,0,1,2,3,4,5,…,∞}
in basic set notation, and is any number beetween -∞ and ∞ (ie. any number with ℑ [imaginary part] 0).
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∙ 14y ago
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How can the set of real numbers be structured to show the elements that are included in the set?
It cannot be. The cardinality of the set of real numbers is the Continuum. This is greater than the total number of sub-atomic particles in the universe!
What is the set of numbers including all irrational and rational numbers?
real numbers
What is A set of numbers that is larger than the set of real numbers?
In a certain sense, the set of complex numbers is "larger" than the set of real numbers, since the set of real numbers is a proper subset of it.
What is the set of numbers that includes all rational and all irrational numbers?
the set of real numbers
which set show a subset of the set of natural numbers?
Natural numbers are just whole positive numbers. Since whole positive numbers can represent a distance along a line, they are a subset of real numbers.
The set of all rational and irrational numbers?
Are disjoint and complementary subsets of the set of real numbers.
Set of real numbers and set of complex numbers are equivalent?
Real numbers are a proper subset of Complex numbers.
What is the difference between a set of real numbers and a set of complex numbers?
The set of real numbers is a subset of the set of complex numbers. For the set of complex numbers, given in the form (a + bi), where a and b can be any real number, the number is only a real number, if b = 0.
Why do you think there are different set of real numbers?
There is only one set of Real numbers.
Does a real number contain the set of rational numbers?
No. A real number is only one number whereas the set of rational numbers has infinitely many numbers. However, the set of real numbers does contain the set of rational numbers.
How are rational numbers and integal numbers related to set of real numbers?
Both rational numbers and integers are subsets of the set of real numbers.
Set of real numbers?
The set of real numbers is the union of the set of rational and irrational numbers. But there are so many other ways to describe it. Real numbers can be constructed as Dedekind cuts of rational numbers. The set of real numbers can also be viewed as the set of equivalence classes of Cauchy sequences of rational numbers Some people like the definition, that the real numbers are all the numbers which can be expressed as decimals.
