Tag: Algebra

Abstract algebra is one of the foundational fields of modern mathematics. It contains a wide variety of subfields and has an immense number of applications. More specifically, abstract algebra is the study of algebraic structures, which are all sorts of things like groups, rings,&nbsp...

Abstract algebra is one of the foundational fields of modern mathematics. It contains a wide variety of subfields and has an immense number of applications. More specifically, abstract algebra is the study of algebraic structures, which are all sorts of things like groups, rings,&nbsp...

Linear algebra is the branch of mathematics that concerns linear equations, maps and their representations in vector spaces and through matrices. This technical definition and most proofs, concepts and theorems that we learn hide the visual beauty of linear algebra. My goal in this article is to ...

Welcome to the “Don’t Worry About It” series, where we break down the mathematical concepts that underpin modern Data Science and Machine Learning Algorithms. Even though we have powerful tools for creating machine learning systems, it’s crucial to grasp the basic math behind...

Your robot has a LIDAR attached to it. The LIDAR senses an obstacle at a point P from it. But where is the object relative to the robot? Where is the obstacle relative to the global frame? The sensor measures the distance of the object relative to the sensor. The robot measures the distance of the ...

In the previous blog, we learned about the advent of mobile robotics and how it is currently rocking the entire automotive industry. But whatever happens inside the brain of a robot is definitely not magic! No magic literally! Many of us used to dread learning Mathematics. I remember my si...

Abig part of why we use Lie groups for robotics is because they enable efficient optimization for large scale robotics problems. The reason why Lie groups enable this is because we can represent objects like rotation matrices in lower dimensions and perform unconstrained optimization inste...

In the age of Big Data, the ability to manage and analyze huge volumes of information has become a key skill in many industries, from scientific research to marketing. Tensor algebra, with its applications in optimizing operations on matrices and tensors, plays a crucial role in this context. This a...

For most, simple linear regression is a common starting point for understanding model-based estimation and model comparison. Regardless of whether you’re taking an introductory statistics or data science course, you can bet your bottom dollar that linear regression will crop up at some point. ...