How to identify secular terms in multiscale expansion? How can one identify secular terms while doing multiscale expansion? For e g in an initial value problem, can any term where t appears can be counted as secular term?
differential geometry - How is the definition of a regular curve . . . The definition of a regular curve is usually given by the non-vanishing of the tangent vector to every parametrization of curve at every point on the interval On the other hand, the definition of a regular surface is given by saying that it is a subset of $\mathbb R^3$ with all the standard properties
When do we get extraneous roots? - Mathematics Stack Exchange There are only two situations that I am aware of that give rise to extraneous roots, namely, the “square both sides” situation (in order to eliminate a square root symbol), and the “half absolute v