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There are many reasons, but the one I'm fond of is that if you plot a complex equation, you can visualize certain aspects of say electricity. A plot of w=(z-1)/(z+1)
can show a possible electromagnetic field of two wires carrying current as depicted
in the below LINK.
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Can a negative number be inside a square root?
Yes. But until you study complex numbers, there is no solution.
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.
Why are complex numbers useful in today's society?
1. A complex formula like (z+1/z) is used to study and design airplane wings. 2. I use complex numbers to make math related art. The LINK below shows artwork based on the formula (z-1)/(z+i)
Mapping of complex numbers in complex plane?
In the complex plane, each complex number is represented by a point, with the real part as the x-coordinate and the imaginary part as the y-coordinate. The mapping of complex numbers in the complex plane allows us to visualize operations like addition, subtraction, multiplication, and division geometrically. It also enables us to study properties such as modulus, argument, and conjugate of complex numbers.
Can a negative number be inside a square root?
Yes. But until you study complex numbers, there is no solution.
What is complex math?
Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.
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.
Why are complex numbers useful in today's society?
1. A complex formula like (z+1/z) is used to study and design airplane wings. 2. I use complex numbers to make math related art. The LINK below shows artwork based on the formula (z-1)/(z+i)
Mapping of complex numbers in complex plane?
In the complex plane, each complex number is represented by a point, with the real part as the x-coordinate and the imaginary part as the y-coordinate. The mapping of complex numbers in the complex plane allows us to visualize operations like addition, subtraction, multiplication, and division geometrically. It also enables us to study properties such as modulus, argument, and conjugate of complex numbers.
Set of real numbers and set of complex numbers are equivalent?
Real numbers are a proper subset of Complex numbers.
What year did Mr Kbh invent complex numbers?
Complex numbers were not invented by Mr KBH.
Why properties of square roots are true only for non negative numbers?
The square of a "normal" number is not negative. Consequently, within real numbers, the square root of a negative number cannot exist. However, they do exist within complex numbers (which include real numbers)and, if you do study the theory of complex numbers you wil find that all the familiar properties are true.
How the Real Numbers system is related to each number?
In all likelihood, all the numbers that you will come across during school will belong to the Real number system.In the UK , it is only when you study "Further Pure" mathematics at A-levels, or at university that you will study complex numbers which belong to a set that is the next step beyond Real numbers.
What are the kinds of complex numbers?
Complex numbers include real numbers, pure imaginary numbers, and the combination of those two.
Are complex numbers under addition and multiplication a field?
The complex numbers are a field.
