If energy and mass are physically the same thing, How can one be invariant and conserved and the other just be conserved?
Also, is the increased relative density due to the kinetic energy of the measuring stick?
Special relativity states that according to an observer at rest, a measuring stick on a moving platform will appear shorter.
Would this observer still see the measuring stick as comprising of the same amount of atoms as the observer who is at rest with respect to the measuring stick? If this is...
I know there is a modern paradigm that states that nothing, including information, can travel faster than the speed of light. (With exception to quantum entanglement, but I'm not going to pretend like I know the exact details of that subject).
Thought experiment.
Imagine there are a series...
"Some of you may ask, what is the good of working so hard merely to collect a few facts which will bring no pleasure except to a few long-haired professors who love to collect such things and will be of no use to anybody because only few specialists at best will be able to understand them? In...
I'm sorry for the vagueness.
I know that the derivative of the volume of the sphere is equal to the surface area of the sphere. That is intuitive to imagine, because with each infinitesimal change in the radius, it's like adding an infinitely thin coat of paint on the outside of the sphere...
I guess what I meant by meaningless is when it fails to have applications in terms of describing a physical system.
Do you know of any applications of the derivative of jounce?
I know that taking the derivative of certain functions that explain physical phenomena can lead to another statement describing the physical system, the most famous being the derivatives of position. That is,
position-->velocity-->acceleration-->jerk-->jounce...and taking any other further...
Ok I got it for 6x^3
--,--,--,--0
--,--,6,6
--,36,42,48
36,72,114,162
36,108,222,384
36,144,336,750However, when I try to do the same for another function, let's say 2x^4, it does not seem to work.
So, if I keep taking the derivative of 2x^4 -> 8x^3 -> 24x^2 -> 48x -> 48, then try to use 48 as...
I tried to follow what I thought was your algorithim but with replacing 6 with 36. This is what i got.
__,__,__,0
__,__,1,1
__,36,37,38
36,72,109,147
36,108,217,364
36,144,361,725maybe I just need to expand this out further. Hmmm...I wonder if I can predict how many more columns I will need to...