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Are time derivatives not derivatives of functions of space? Or like, do functions of space take in some point/position x and output some other output value?


What are the reasons of not writing variables in the partial form except simplicity? Doesn't u' create confusions when x is not specified?


I don't quite understand the influence with alpha, so the bigger the alpha is the function will propagate faster to the right through time?


How do we even come up with these equations for simulating various effects such as different elastic/viscuous materials and snow simulation?