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”

Modeling Functions of Multiple Variables: Topics of Partial Derivatives

Introduction to Functions of Multiple Variables Prior to now, we have quite frequently worked with functions that relate a single variable to another variable. These functions tend to take the form: Here, f(x) represents the traditional variable y. However, in this article, we investigate higher functions that rely on relationships between multiple variable inputs. WeContinue reading “Modeling Functions of Multiple Variables: Topics of Partial Derivatives”

Vectorized String Operations: A Guide to Pandas String Methods

An Introduction to Pandas String Operations In previous investigations, we laboriously discussed the methods of creating Pandas data structures, an article which may be found here. Furthermore, we got deeper into the discussion by examining the methods of indexing these data structures. For greater insight into this topic, you may find such here. Our mostContinue reading “Vectorized String Operations: A Guide to Pandas String Methods”