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Leo Authersh
How is it possible to ignore the addition sign and imaginary number without contradicting fundamental Mathematics?
I find it difficult to understand.
I find it difficult to understand.
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is not correct. Where did you get this ?Leo Authersh said:X2 + Y2 = (X + iY)/(X + iY)
It is just a different way to represent the numbers.How can we consider a complex number as two separate real numbers for in X and Y plane?
True that. I have edited it. But my question is correct and after thinking about it, I have found the answer myself. I just find it hard to put into words the exact thing in my mind. That's why the question is incomprehensible. But I think fresh_42 has understood my question.BvU said:Hi,
We don't ignore anything. Don't contradict anything either.
is not correct. Where did you get this ?
Hi fresh_42 I skimmed through this article and it seems like it addresses my question. Thank you for the link. Will let you know once I read it fully.fresh_42 said:And always worth a read if it comes to complex numbers is
https://www.physicsforums.com/insights/things-can-go-wrong-complex-numbers/
A complex number is a number that contains both a real part and an imaginary part. It is expressed in the form a + bi, where a is the real part and bi is the imaginary part with the imaginary unit i = √(-1).
A complex number can be represented in a Cartesian coordinate system by considering the real part as the x-coordinate and the imaginary part as the y-coordinate. This allows us to visualize the complex number as a point on a 2-dimensional plane.
Representing complex numbers in the x and y plane allows us to perform mathematical operations on them, such as addition, subtraction, multiplication, and division. It also helps us to visualize and understand the properties of complex numbers.
The magnitude of a complex number is represented by the distance from the origin to the point on the x and y plane. The direction of the complex number is represented by the angle formed between the positive x-axis and the line connecting the origin to the complex number.
Yes, a complex number can also be represented in a polar coordinate system, where the magnitude is represented by the distance from the origin and the direction is represented by the angle formed with the positive x-axis. However, representing complex numbers in the x and y plane is more commonly used for calculations and visualizations.