I mean if i want to integral the dy=z*dx or something like this with an unknown z which may have some relation with the x, how can i do? Is there some area of mathematics concerning this kind of questions?
Homework Statement
How can I deal with such an integral: the integrand include another variable which has some relationship with the variable of integration, but i do not know the exact relationship. Can I just see the "another variable" mentioned above as a invariant and put it outside from...
I found it in the Walter Greiner‘s famous classical mechanics book “Classical Mechanics——Systems of Particles and Hamiltonian Dynamics” ,Chapter 19——Canonical Transformation,and what I asked is the point transformation which is discussed in detail in this book.
actually, I didn't find the relation between the vector transformation and my question, could you please be more specific and help me solve this problem?Thank you very much.
Is this transformation a contact transformation?
qi is the cartesian coordinate, and Qi is the Generalized coordinate, why the momentum under the two coordinates have this transformation way:
pi=∑Pj(∂Qj/∂qj)
pi and Pi are corresponding momentum under the two coordinate respectively.