How to Use Directional Derivatives For Machine Learning: Topics of Partial Derivatives

Introduction By this point in our series on partial derivates, we not only have expanded upon the idea of multivariate equations, but also introduced the taking of partial derivatives and their associated tangent planes/linear approximations. If you have not referenced these items, we highly recommend it, for as we proceed in our application of theseContinue reading “How to Use Directional Derivatives For Machine Learning: Topics of Partial Derivatives”

Guide to Tangent Planes and Linear Approximation: Topics of Partial Derivatives

Overview Up to this point, we have really highlighted the nuts and bolts of working with partial derivatives. Firstly, it began by elaborating the roles of equations comprised of multiple variables. We extrapolate on those insights in this article. Secondly, we took a brief detour to examine the nuances of limits and continuity in theseContinue reading “Guide to Tangent Planes and Linear Approximation: Topics of Partial Derivatives”

A Guide to Partial Derivatives: Topics of Partial Derivatives

Setting the Ground on Partial Derivatives Our series which elaborates on the topic of partial derivatives began first by introducing functions of multiple variables. An understanding of how these functions operate is integral to executing partial derivatives. If you need a refresher on this subject before embarking further, check out this article. Furthermore, limits areContinue reading “A Guide to Partial Derivatives: Topics of Partial Derivatives”

Arc Length and Curvature: Computations for Vector Calculus

The Arc Length and Curvature Question Computing the arc length and curvature of various functions is one of the principal applications of the vectorial calculus we have just learned. Our first article provided a broad introduction into the world of calculus. The subsequent article takes time investigating the dot product and cross product in depth.Continue reading “Arc Length and Curvature: Computations for Vector Calculus”

Stuck On Vector Calculus? We Got You Covered.

The word ‘calculus’ itself is sufficient to make the average person cower away, let alone attaching obscure adjectives to such a terrifying concept. Nevertheless, vector calculus opens the portal to a much higher of mathematical computation, and for those in specialized fields, has a wide range of applications. This post serves to provide some clarityContinue reading “Stuck On Vector Calculus? We Got You Covered.”