CyMark sorry, but your post is out of context here (it seems you are comp sci engineer--i am more interested in mathematicians' views). Just to avoid that I had started this discussion in Maths section, but mentors paid no heed to my considerations!
Adding more fuel...
Matlab (C# is of no concern for us, at least in the present scenario) can never over shadow the importance of a full fledged programming language for scientific computations which is owned by the scientific community (not by a particular organization). It is at most popular...
The following question pertains to programming, but I have posted it here because I want the views of mathematicians (also of physicists and engineers), not those of computer scientists (which i already know) and I do not know how many of the former category care to look into programming...
Thermodynamics: Engineering Thermodynamics by Rogers and Mayhew
If I were to write praise for this book it woukd turn out to be a long article but you can get a glimpse of its features at http://www.amazon.com/dp/0582045665/?tag=pfamazon01-20---indeed a ten star book.
Actually it's about...
Do you expect rolling over ice?
Put it the other way, if friction is present do you expect the wheel to slow down (considering zero flattening)?
And one more thing, do you expect the friction to spontaneously start a wheel lying on a floor (is it sufficient and/or necessary to start the rolling?)?
I,ve seen your post only today (I was busy with my exams). And last night while preparing for 'Numerical methods and optimization' I chanced to get an interesting relation (which is very relevant here) between D and \Delta in a book.
\Delta \equiv e^{hD} - 1
And about Fourier, those were...
Bernoulli's equation in fluid dynamics is a peculiar thing. Although it is one of the most popular equations in science, it is a source of controversy and confusion (in fact I was going to start a thread for discussion on its limitations and validity).
It is extensively applied for real world...
Simply speaking, dx is a special limiting case of \Delta x in the limit x_{i} is very very very very ....(an infinite chain of very's!) close to x_{i-1}.
Note that strictly speaking we define forward difference operator by
\Delta x=x_{i+1}-x_{i}
and backward difference operator by
\nabla...
Eureka!
Well there is nothing new, but a slight modification to the first proof given by you in post#6 will serve our purpose well.
Remember my objection to it in post#7. \vec{r_G} in the two equations may not be the same (actually they are not a fixed vector but locii representing straight...
If you don't mind intrusions at such a later stage...
Pressure has a great role to play not only in mechanics but also in thermodynamics (and probably greater) and thermodynamicists do not have much concern for vectors and tensors- you know. Take pressure as scalar or not mechanics has a better...