Homework Statement
Proof:Suppose that V is a real inner product space and T\in \wp(V). If (v1... vn) is a basis for V consisting of eigenvectors for T, then there exists an inner product for V such that T is self-adjoint.
Homework Equations
The Real Spectral Theorem: Suppose that V is a...
Ok, so I am doing a typical momentum problem with a varying mass (here dm/dt > 0). I am also taking into account air resistance (stoke's law essentially). After some manipulations I basically get:
6πnRv - mg(1 - p(water)/p(object)) = m (d/dt(v)) + v (d/dt(m))
I know I need to separate the...