Recent content by TSC

It is often stated and proved in textbooks that the momentum density is also the energy flux. The explanation is often done using the dust model. However, it is possible that in a real fluid, there is heat conduction via particle collision. There is energy flux, but since no molecules are ever...

Please indicate what are they useful for.

C++ is good for writing games Objective C is good for IOS app Java is good for Android app. Any other examples of programming languages?

Hakim : right!

This is the ergodic hypothesis.

Yes, the last notation is the most accurate one. D1, D2... or f1, f2 ... It is the parameter position or place holder location that is important

There is no need to use Green's Theorem. I have just checked Schaum's Advanced Calculus by Wrede & Speigel They just use the area of a parallelogram with vectors and derived the entire thing simply, geometrically and intuitively. The Jacobian just pops out naturally. (ref: page 216, Second...

No proof provided :(

I must apologize. What I meant is rank 3 and rank 4, and not 3rd and 4th dimension. So sorry. You have got a proof for the general form of rank 3 or rank 4 isotropic cartesian tensor?

There are 2 approaches to learning tensors. The component approach and the component-free approach. In general for physics and engineering students, the component approach is easier to start with. The one-form is the component-free approach. The 2 books I recommend is the component approach. It...

Does anyone have a proof of what a isotropic cartesian tensor should look like in three or four dimensions?

My first tensor book is Tensor Calculus by Kay. Very good for introduction. There are many which starts from even a simpler baseline. The second one is Synge and Schild. Try them! (note: isn't this suppose to be in the calculus page?)

Good explanation!

This is weird. I have never seen dirac delta appear without integration.

The last equation is unjustified.