this post was submitted on 30 Mar 2025
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[–] [email protected] 135 points 2 days ago (1 children)

Just put two π ohm resistors in series duh

[–] [email protected] 41 points 2 days ago (1 children)
[–] [email protected] 41 points 2 days ago (3 children)

Ugh, 3 factorial is most definitely not equal to π. It's something more like, idk, 9? Honestly I don't even know how I got here; I majored in Latin and barely past

[–] [email protected] 26 points 2 days ago (2 children)

Barely passed your English classes as well I assume. /s

[–] [email protected] 12 points 2 days ago (1 children)
[–] [email protected] 2 points 2 days ago* (last edited 2 days ago)

My high school English teacher still has night terrors about me starting sentences with conjunctions. And that was the least of their problems.

Edit: kind of unrelated, but that song about conjunctions is now stuck in my head. 🎶Conjunction junction, what’s your function? 🎶

[–] [email protected] 6 points 2 days ago (1 children)

In case anyone wondering factorial is

n! = n * n-1 * n-2 * ... * 3 * 2 * 1

[–] [email protected] 1 points 2 days ago (1 children)

Erm. In what world do you live that the precedent in your expression is right?

In all languages and countries I know multiplication binds more strongly than addition. So what you wrote would be

n^2 - n - 2n - 3n....

[–] [email protected] 1 points 2 days ago (1 children)

I wrote it correctly. It is the definition of a factorial.

[–] [email protected] 1 points 2 days ago (1 children)

No, correctly it would be n * (n-1) * (n-2) * ... * 3 * 2* 1

Or the actual recursive definition

1! = 1

n! = (n-1)! * n

[–] [email protected] 2 points 2 days ago* (last edited 2 days ago) (1 children)

What I wrote and the context it makes sense.

E: ohh yeah I see

[–] [email protected] 1 points 2 days ago (1 children)

Yea, reading my message back I was unnecessarily harsh. But my math checks out.

Sorry, I had a bad day...

[–] [email protected] 3 points 1 day ago

No worries. It happens

[–] [email protected] 4 points 2 days ago (2 children)
[–] [email protected] 3 points 2 days ago

Seriously, if you're working with analog electronics, 𝛑=√1̅0̅ is close enough. If you need more precision, use active error correction, and in the 21st century that's easiest to do digitally anyway.

[–] [email protected] 1 points 2 days ago

Isn't 3 factorial equal to 6??

[–] [email protected] 7 points 2 days ago* (last edited 2 days ago) (2 children)
[–] [email protected] 10 points 2 days ago (2 children)

e = 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 ∞)

[–] [email protected] 6 points 2 days ago

I was not ready for this truth bomb

[–] [email protected] 1 points 2 days ago* (last edited 2 days ago) (1 children)

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…

[–] [email protected] 1 points 2 days ago (1 children)

The list of things I shouldn't do, but do regardless, stretches past infinity.

[–] [email protected] 2 points 2 days ago* (last edited 2 days ago) (1 children)

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 are 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 in second year algebra courses, where e and logs also 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.”

[–] [email protected] 2 points 2 days ago (1 children)

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

[–] [email protected] 2 points 2 days ago

Feynman has so much great stuff to plagiarize.

I think in precalculus at least, something like this is not too hard to show and explain to a student. This would be a fine “final” thing to end the typical high school math career on - showing how all of the different concepts you’ve explored come together.

[–] [email protected] 2 points 2 days ago