## Raja99 3 years ago Any body on the lines of physical meaning of complex number?

1. nbouscal

Physical meaning is pretty tough because complex numbers don't really have a physical meaning. That's why \(i\) is called imaginary. There are tons of applications of complex numbers, but it doesn't really relate well to a physical interpretation. I tend to think of them purely mathematically rather than physically, and think of how they are useful. For example, complex numbers are essential in that every polynomial of degree \(n\) has \(n\) complex roots. That fact has massive implications, which is why we call it the fundamental theorem of algebra :)

2. Rohangrr
3. Rohangrr

u will get u r answer there

4. Rohangrr

or in short Complex numbers are a part of mathematics, just as are real numbers. Physical things can be modelled and described using complex numbers or real numbers, but the numbers themselves are not physical. To give a simple example, pi is the ratio of the circumference of a circle to its diameter, but the circle and its parts are mathematical constructs, not physical objects.

@Raja99 From a strictly philosophical perspective, nothing in the field of mathematics has an real meaning (citation: "Principia Mathematica" by Bertrand Russell). Even numbers like \(1,0\) are merely defined by the mapping of abstract objects. The meaning is whatever empirical construct you give it. "Imaginary" numbers is a misnomer. All numbers are imaginary.

6. Raja99

thanks to all

7. inkyvoyd
8. inkyvoyd

Rohangrr reported for plaigerism.

9. Raja99

plaigerism?

10. mekamonae

Any number of the form a + bi, where a and b are real numbers and i is an imaginary number whose square equals -1.

11. inkyvoyd

*plagiarism The stuff he said wasn't his own and he shamelessly stole it from the site I linked to.

12. Raja99

thax

13. inkyvoyd

If you were the one who gave him the medal, please remove it. He does not deserve it.