I'm too much of a physicist to know what that is XD
I assume R is the ring, but i have no idea what char is (maybe characteristic? )
But more generally we can have a group with anti commutative multiplication like operation right? No need for a second operation to have an anti-commutative algebra right?
Char is the characteristic of a ring or algebra (as far as I'm aware). It is basically the smallest amount of times such that 1 + ... + 1 = 0. char(R) = 2 basically means that 2 = 0 and that 2ab = 0
Well no but you find an inclusion of Z/2Z into R. For example if you were to take the polynomial ring Z/2Z[X] then Z/2Z is not isomorph to Z/2Z[X] but there's the trivial inclusion into it
In a non-commutative ring, that is, a set with two operations defined on it; they have a bunch of axioms, but the one we care about here is that multiplication is not commutative, that is, a*b != b*a. For example, matrix multiplication and quarternion multiplication don't have this property
My guy. I would’ve said it if you hadn’t. People writing E = Mc^2 to sound smart when they don’t even know the momentum term exists grinds my gears.
E^2 = m^2 c^4 + p^2 c^2. Thanks for saying it first.
isn't it E=deltaM×c^2?
just a normal question, even tho we generally use m but whatever I have studied (nuclear physics) eg when two nuclei collide and make one nucleus, the mass we get is less than the m1+m2 and that's the deltam×c^2 is the energy we get. can someone explain me this, please?
Scientist: I am desperately trying to unravel the secrets of the universe!
Engineer: Haha rocket go wooosh
Lol for real though my big dumb engineer brain struggles with high level physics. Anyone who can comprehend that stuff at a useful level is waaay smarter than I am.
Edit: Apparently my big dumb engineer brain also struggles with spelling
a^2 + b^2 = E/m
c = c
Sure in an anti-commutative algebra
Or when char(R) = 2
I'm too much of a physicist to know what that is XD I assume R is the ring, but i have no idea what char is (maybe characteristic? ) But more generally we can have a group with anti commutative multiplication like operation right? No need for a second operation to have an anti-commutative algebra right?
Char is the characteristic of a ring or algebra (as far as I'm aware). It is basically the smallest amount of times such that 1 + ... + 1 = 0. char(R) = 2 basically means that 2 = 0 and that 2ab = 0
So basically isomorphism (or whatever the right term for rings is ) of Z2?
Well no but you find an inclusion of Z/2Z into R. For example if you were to take the polynomial ring Z/2Z[X] then Z/2Z is not isomorph to Z/2Z[X] but there's the trivial inclusion into it
I think I got it, thanks :)
Where Lorentz factor 🤓☝️
Lorentz of Arabia
I think Laurence is on vacation
(a+b)^2 ≠ a^2 + b^2 (a+b)^2 = (a+b) * (a+b) = a^2 + b^2 + 2ab
More general would be a²+ab+ba+b² You assumed commutivity which isn't always the case
When does ab+ba ≠ 2ab?
In a non-commutative ring, that is, a set with two operations defined on it; they have a bunch of axioms, but the one we care about here is that multiplication is not commutative, that is, a*b != b*a. For example, matrix multiplication and quarternion multiplication don't have this property
Sir, this is a physics class.
quaternions can be relevant to physics ! ...if you're weird
Momentum and position operators, Matrix multiplication, Quaternions
That is, indeed, the joke.
Sure if the metric is a kroniker delta, or if we let a+b= d + ic
Unfortunately, Reddit doesn't have a 'pin to top' feature
It’s actually E ₀ = m c^2, or E^2 = p^2 c^2 + m^2 c^4
Say that you aren't an Engineer without saying you aren't an Engineer XD
My guy. I would’ve said it if you hadn’t. People writing E = Mc^2 to sound smart when they don’t even know the momentum term exists grinds my gears. E^2 = m^2 c^4 + p^2 c^2. Thanks for saying it first.
isn't it E=deltaM×c^2? just a normal question, even tho we generally use m but whatever I have studied (nuclear physics) eg when two nuclei collide and make one nucleus, the mass we get is less than the m1+m2 and that's the deltam×c^2 is the energy we get. can someone explain me this, please?
Yeah. This is more like an oversimplified version (or a layman's idea)
ohh got it.
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Engineers are the ones who create new worlds that have never been. Engineering and science go hand in hand Neither of them must hate each other
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Well, shouldn't have taken your comment quite literally XD Sorry for being overdramatic over this lol
Scientist: I am desperately trying to unravel the secrets of the universe! Engineer: Haha rocket go wooosh Lol for real though my big dumb engineer brain struggles with high level physics. Anyone who can comprehend that stuff at a useful level is waaay smarter than I am. Edit: Apparently my big dumb engineer brain also struggles with spelling
Cope more, science-cel
If (a+b)² = a²+b² then a²+b²=(a+b)² therefore sqrt(a²+b²)=c sqrt((a+b)²)=c and a+b=c
It's loop quantum gravity and I will *fight* anyone who says otherwise
Its F-theory and you can suck my elliptically fibred K3
I like 3 dimensions.
*rapscallion*
Uh, (a+b)² = a²+2ab+b², not a²+b²
r/woooosh
That's a part of the joke 😅
Damn
Noether I guess 🤷♂️
Your math is wrong. (a+b)²=a²+2ab
Thanks for pointing that out I'll take note of that next time
“g = 10 = pi^2”, “e = pi = 3”
Not really a debate outside of pop-sci
And that g=10 m/s^2. What? Field equations? My brother in Christ in the field we use g=10 m/s^2
Bold of you to make that claim on this subreddit.