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One way is to use them in graphics images. Inversion is by the formula 1/(x+iy).
Click on the INVERSION link below for an example.
Notice the yellow dot in the left pane has been inverted outside the circle in the
right pane and the checkerboard is now inside the circle.
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Why can not a complex number lesser or greater than another complex number?
Because a complex number is a two dimensional entity. The concept of less than or greater than, for ordinary numbers, is one-dimensional. It can be applied to the magnitude (absolute value) of a complex number.
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.
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 do you think is true of the square roots of a complex number?
I posted an answer about cube roots of complex numbers. The same info can be applied to square roots. (see related links)
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.
Why can not a complex number lesser or greater than another complex number?
Because a complex number is a two dimensional entity. The concept of less than or greater than, for ordinary numbers, is one-dimensional. It can be applied to the magnitude (absolute value) of a complex number.
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.
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.
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.
Do the complex numbers for a group under binary operation ' plus '?
Yes, the complex numbers, as well as the real numbers which are a subset of the complex numbers, form groups under addition.
Which of these are complex numbers 5 3i 1 2i?
All of them. Real numbers are a subset of complex numbers.
What are set of complex number?
Complex numbers are numbers of the form (x + yi) where x and y are real numbers and i is the imaginary square root of -1. Any collection of such numbers is a set of complex numbers.
