If you understand the definition of a mathematical function, a good way to judge it is that any line drawn parallel to the y-axis intersects with the values in the function’s curve only once. The same ...

A quadratic equation is drawn as a curve on a set of axes. This type of curve is called a parabola and it is symmetrical. To draw the graph we need coordinates. We generate these coordinates by ...

Thus {f, g} represents the unordered pair of functions f and g. So will plot both f and g on the same graph. We don't care wich order it does them in so we can give f and g as an unordered pair.

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Plot points with coordinates where \(x\) and \(y\) are equal. Three points are sufficient, but more can be plotted. Draw a line through the plotted points. If \(x\) is positive, \(y\) is negative. If ...

This is a preview. Log in through your library . Abstract A class of global Lyapunov functions is revisited and used to resolve a long-standing open problem on the uniqueness and global stability of ...