Abstract: In this paper, using the concept of horizontal membership functions, a new definition of fuzzy derivative called granular derivative is proposed based on granular difference. Moreover, a new ...

This video explains how differentiability implies continuity (3 conditions) of a function (e.g. composite or complex), including a basic introduction and visual proof using graphs and the limit formul ...

This video explains how to tell if a function is continuous or discontinuous using limits (one sided or both) in the 3 conditions (definition and meaning) of the continuity test (using the graph or ...