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Basically you can have an order on a number line, but complex numbers are points on a plane. You can invent some arbitrary order, like which number has the largest real part, or the biggest absolute value, but many of the order properties of real numbers are no longer valid with such definitions.
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What is the relation of complex numbers to real numbers?
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
Could anyone list numbers not in the set of complex numbers?
No. Complex numbers is the highest set of numbers you can go, and there are no sets outside of complex numbers.
How many unreal numbers are there?
Unreal numbers are complex numbers and numbers of higher order. There are infinitely many of them. It can be shown that the cardinality of complex numbers is the same as that of real numbers: this cardinality is called the continuum, C.There are À0 (aleph-null) counting numbers or integers or rational numbers - the "smallest infinity"!!!. C is equal to 2À0.
Set of real numbers and set of complex numbers are equivalent?
Real numbers are a proper subset of Complex numbers.
What are the kinds of complex numbers?
Complex numbers include real numbers, pure imaginary numbers, and the combination of those two.
What mathematician introduced complex numbers?
Gerolamo Cardano is an Italian mathematician who introduced complex numbers. Complex numbers are those that can be expressed in the form of a+bi where a and b represent real numbers.
Is all complex numbers imaginary?
No.
What are complex fractions?
They could be fractions in which the numerator or the denominator, or both, are complex numbers.
Is mcdonalds 6 line order is considered a simple moderate or complex order?
Complex
What are pure imaginary numbers?
complex numbers with no real partif any complex number z can be written a + i bthen pure imaginary numbers have a=0 and b not equal to 0
Which subsets does the number -22 belong?
Integers, Rational numbers, Real numbers and Complex numbers.
Can you compare two complex numbers?
You can compare their magnitude (absolute values) but not the numbers themselves.
Which is not included in the set of rational numbers?
All irrational numbers, complex number and so on.
Why should a complex number be looked at as all real?
They should not. If you did that it would defeat the whole purpose of having complex numbers!
What numbers have an absolute value of 8?
8, and minus 8. If you want to include complex numbers, all numbers on a circle with radius 8.
What number systems include the square root of 49?
Integers, rational numbers, real numbers, complex numbers, quaternions are some systems. Counting numbers is not a valid answer.
What happens when you square root a negative number?
The square root of a negative number is not real. However, there is a field of numbers known as the complex number field which contains the reals and in which negative numbers have square roots. Complex numbers can all be expressed in the form a+bi where a and b are real and i is the pure imaginary such that i2=1. Please see the related links for more information about complex and imaginary numbers.
