it means positive energy theorem if the wronskian is zero.
it means positive energy theorem if the wronskian is zero.
what does it mean if the wronskian is zero?
positive energy theorem
if the functions are linearly dependent, then so are the columns of the wronskian as differentiation is a linear operation, so the wronskian vanishes. thus, the wronskian can be used to show that a set of differentiable functions is linearly independent on an interval by showing that it does not vanish identically. it may, however, vanish at isolated points.
wronskian
wronskian









































in mathematics, the wronskian (or wrońskian) is a determinant introduced by and named by . it is used in the study of differential equations, where it can sometimes show linear independence in a set of solutions.









































section::::definition.









































the wronskian of two differentiable functions and is .









































more generally, for real- or complex-valued functions , which are times differentiable on an interval , the wronskian as a function on is defined by
wronskian