"The true metaphysics of the square root negative 1 remains elusive." - C.F. Gauss

trying to prove to mostly a bunch of trolls how thuper thmart you are.
Once again, remember that you MAGA morons spent years on JPP howling that liberal arts were useless, and all college education should be STEM majors.

But yet here you are getting flummoxed and angry about high school math.
 
I see, it's phase dependent. Thanks for the info on electrical engineering. :thumbsup:
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I didn't write the article posted in the OP.
The scientists who wrote the article seem to claim that imaginary numbers have some tangible connection to reality at the quantum scale; they're not just subjective conveniences.

You don't know anything about any of this stuff but you desperately want people to think you know about quantum. So all you EVER do is quote other people without comment in your own words.

Then you follow up with gnomic phrases to add to the illusion of your incredible intellect.

LOLOLOL
 
"In mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the horizontal x-axis, called the real axis, is formed by the real numbers, and the vertical y-axis, called the imaginary axis, is formed by the imaginary numbers."


https://en.m.wikipedia.org/wiki/Complex_plane

Thank GOD you didn't "frantically Google". No, you used WIkipedia. Just like someone who really knows all this stuff. LOL
 
I know, it seemed bizarre even in high school precalculus. What a mess!
The graphs and trigonometric functions are necessary because the complex numbers by convention exists on a plane outside the real number line, and their values can be represented by angles and trig functions. I never took linear algebra, so I don't understand how the matrix represents i.

There are algebraic polynomials that do not have solutions using the real numbers from the traditional real number line, they only have solutions that lie on the complex numbers plane. That's why the universe of numbers extends into a two dimensional plane off of the real number line.

The thing that interests me is the question about whether these imaginary numbers are just conveniences that simplify calculations, or whether they have an independent connection to reality.

It's at least as interesting a question as transgender athletics and drag queen shows, but maybe that's just me!
they are not real.

its just a theoretic part of theory.
 
"carrier wave: in electronics, the unmodulated single-frequency electromagnetic wave that carries the desired information."

https://www.britannica.com/technology/carrier-wave
Nope. A carrier frequency is modulated or it carries no information.
I'm sure this thread was the first time you've heard of it.
Knowledge of acoustic impedance was important to one of my careers.
BULLSHIT. You were never in electronics and you deny physics.
 
You seem to get way stressed out about what my interests are, and cannot resist clicking on my threads.

The worst way to impress girls, to impress people at parties, and to impress relatives at family reunions is to discuss math.

It's gotta say something about your social awareness for you to believe otherwise.
Go pop your ego balloon. It's full of hot air.
 
It's up to you if you want to believe imaginary numbers have no place in math or science.
They really don't. Not even in calculating antenna impedance.

The 'imaginary' number used there isn't. It's just the reactive component of the equation. That's a real value. Go see a Smith chart and learn how it's used.
I doubt your opinion will change mathematics or science.
You deny both.
 
"In mathematics, the complex plane is the plane formed by the complex numbers, with a Cartesian coordinate system such that the horizontal x-axis, called the real axis, is formed by the real numbers, and the vertical y-axis, called the imaginary axis, is formed by the imaginary numbers."


https://en.m.wikipedia.org/wiki/Complex_plane
There is no such thing as 'complex plane' in mathematics. Buzzword fallacy.
 
There are electrical engineers, people with physics degrees, and interested laypersons who made serious contributions to this thread.

You're focused on the fact you and your boyfriend Dimlight63 have festering grievances about me, and clicking on this thread was really just about your imaginary grievances.
Go pop your ego balloon.
 
I've heard some scientists say it's just a mathematical convenience, particularly at the scale of classical physics.

I didn't write the article posted in the OP.
I believe it. You cut and paste mindlessly. You don't even know if what your cutting and pasting is legit.
The scientists who wrote the article seem to claim that imaginary numbers have some tangible connection to reality at the quantum scale; they're not just subjective conveniences.
Scientists didn't write the article. It has nothing to do with science.
 
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