Maybe a little motivation for the definition will help: Assume for a minute that there are infinitely many (visible) stars in the universe, and we...
Well, it's probably just because noone has explained to him yet that the point is to synchronize GPS clocks in the ECI frame. I guess he hasn't read...
Time doesn't have a two-dimensional nature.
I'm still here, I'll post something tomorrow, hopefully~
Alright, let's give it a try. For the purposes of this exercise I will write an integer m = a1 a2 a3 ... an where a1 a2 a3 ... are just the...
Whatever you want to think. That's not what SRT predicts, though.
The same argument that I used for the reals doesn't work for the integers because each integer has a finite number of digits, and we don't know how...
The rest mass is the mass observed in the rest frame of the object. Sorry :)
Actually, it's not nearly so simple. There are equally many rational numbers (ie. all those with a repeating pattern starting at some point in their...
Okay, back. We want to show that the real numbers can't be put into one-to-one correspondence with the positive integers (Z+). The only apparent path...
I have to go, so I'll post something more detailed later. First, we have to be clear about what "decimals" mean: As a matter of fact, the rational...
And I will note that your function as defined is not from the integers to the even integers. It is from the even integers to the even integers. In...
Well, you have to understand that in mathematics the notion of size of sets is defined by saying that the size (<=> cardinality) of set A is the same...
I will. Thanks for pointing out that mistake! I did it by hand correctly, but I don't know how to use symbols here yet so I copied your line and...
Actually, I think you were right in the other thread now. Sorry :) should be Δ[Mov/(1-v²/c²)½] = MoΔv/(1-v²/c²)½ + Mov²Δv/[c²(1-v²/c²)^(3/2)]...
So basically whenever you say temperature you mean "kinetic energy?" I don't see why you don't just call it kinetic energy then, since temperature...
Sure. First, I don't see how you get this: The rest of the post is fine, provided that you can show me why that's true.
Let's just do an example: Note that here "dt" means some change in time, not the multiplication of d and t (and dt' does as well). I need more...
Well, frankly, what I said earlier about not having much expertise was true. I'm just starting to study quantum mechanics! My math background is more...
What exactly do you mean by a "light event?" As far as I'm aware, everything I perceive is a direct result of electromagnetic interactions. What...
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