Please make more videos on approximation method. The way explained with animation is fantastic. Please i am requesting you to make more videos on approximation method.
From Equipartition theorem for vibration motion we get KT (1/2KT for K.E.+1/2KT for P.E.) And 1/2 KT for Rotation motion And 1/2 KT for Translation motion Isn't it correct?
I would disagree that a scalar requires 0 basis 'vectors' / component. It requires 1 basis (the definition of the unit being used), but it's not a 'vector' per se, of if it is, it's a a 'degenerate' vector, having only 1 dimension.
Hmmm.... m^n components.... Temperature is clearly a 1-d space. I know that a scalar is considered a 0-degree tensor, but 1^0=1. There's clearly something I'm not understanding here.
At 7:50 you start that the vector is a sub times the sub plus a sub two times E sub two, but you are ignoring the dual basis factors which give the covariant projection as a sub. One is super script one plus a sub two superscript two I’m wondering What you say true if you only consider the basis factors the sub one and the sub two and do not consider the dual basis factors the script one and the superscript two
Hello, At minute 5:28 you said that doubling the X axis doubles the Y axis, but I’ve seen no evidence of that on your graph. It seems like you double the axis, but the Y axis as in the original.
Let's say you are representing a vector with covariant components in a given basis (e1,e2). You want to change to a new basis (e'1,e'2). Let's say the matrix of the change of basis is A. if the components of the vector are (a,b)^t in the first basis, to get the components in the new basis you have to multiply A transpose to the left of (a,b), so (a',b')=A^t*(a,b)^t. So the components change with the transpose of A and not with A itself. Is this correct?
The explanation was excellent but I think There is a problem in 3:33. If the the piston is PRESSED downward, it means that an external force is being applied on the system and thus an external energy is being given to the system. But in adiabatic process, no energy can flow in or out of the system.
