Understanding the gradient of a stream is essential for many disciplines, including geology, hydrology, environmental management, and even civil engineering. The gradient or slope of a stream refers ...

To construct the tangent to a curve at a certain point A, you draw a line that follows the general direction of the curve at that point. An example of this can be seen below. Once the tangent is found ...

Elastic flows and gradient flows in planar curves form a vibrant area of research in geometric analysis, where curves evolve in time under rules dictated by an energy functional. Central to this ...