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What else can I help you with?
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.
Why do we need complex numbers?
Complex numbers are essential because they extend the concept of numbers to include solutions to equations that cannot be solved using only real numbers, such as (x^2 + 1 = 0). They play a crucial role in various fields, including engineering, physics, and applied mathematics, particularly in signal processing, control theory, and quantum mechanics. Additionally, complex numbers facilitate the analysis of periodic functions and oscillations, making them invaluable in both theoretical and practical applications.
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.
Why do we need complex numbers?
Complex numbers are essential because they extend the concept of numbers to include solutions to equations that cannot be solved using only real numbers, such as (x^2 + 1 = 0). They play a crucial role in various fields, including engineering, physics, and applied mathematics, particularly in signal processing, control theory, and quantum mechanics. Additionally, complex numbers facilitate the analysis of periodic functions and oscillations, making them invaluable in both theoretical and practical applications.
What are the kinds of complex numbers?
Complex numbers include real numbers, pure imaginary numbers, and the combination of those two.
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.
Are complex numbers under addition and multiplication a field?
The complex numbers are a field.
