We estimate the expected number of limit cycles of a planar polynomial vector field situated in a neighbourhood of the origin provided that the field in a larger neighbourhood is close enough to a ...

Let X be a one-dimensional diffusion process. For each n ≥ 1 we have a round-off level $\alpha _{n}>0$ and we consider the rounded-off value Xt (α n)=α n[Xt/α n ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...