Shouldn’t have i in there, or j if you’re using that to represent the imaginary number.
The complex plane is separate.
Let epsilon be substantially greater than zero…
Comment on Virgin Physicists
My_IFAKs___gone@lemmy.world 3 weeks agoe = π = σ = ε = µ = Avogadro’s Number = k = g = G = α = i = j = 3
(at least that’s how they all look when viewed from ∞)
andros_rex@lemmy.world 3 weeks ago
My_IFAKs___gone@lemmy.world 3 weeks ago
The list of things I shouldn’t do, but do regardless, stretches past infinity.
andros_rex@lemmy.world 3 weeks ago
Imaginary numbers are best understood as symbolizing rotation. If we’re imagining a number line here, “looking back from infinity” - at a scale where Grahams number looks like the mass of an atom expressed in kilograms, i would not be in that infinite set of numbers, it would be a point above that line and creating a perpendicular plane to it.
I hate the term “imaginary” because it’s misleading. Most high school algebra teachers don’t understand what they mean either, so people learn about these things called “imaginary” numbers, never learn any applications with them, hopefully graph them at best, and then move on understanding nothing new about math.
Students also tend to get really confused about it as possibly a variable, (it’s really annoying with second year algebra courses, where e and logs show up). We say “ah yeah, if you get a negative sign, just pull it out as an i and don’t worry about it. or just say no real solutions.”
My_IFAKs___gone@lemmy.world 3 weeks ago
I agree. Although better and more illustrative videos have since been made on YouTube, my favorite introduction to the square root of negative one is Chapter 22 of the Feynman Lectures on Physics Vol. I
InternetCitizen2@lemmy.world 3 weeks ago
I was not ready for this truth bomb