About me

I try to understand things clearly and explain them well

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General Relativity

Overview of posts related to GR

Mathematics of Curved Spacetime Differentiable Manifolds: Defining an abstract manifold as a space consisting of patches that look locally like the Euclidean space and are smoothly sewn together. Introducing functions and curves on manifolds. Tangent Spaces: Defining tangent vectors as derivations, or directional derivative operators acting on functions along curves. The set of tangent vectors at a point \(p\) of a manifold has the structure of a vector space under addition and scalar multiplication. [Read More]

Raspberry Pi / Arduino Robot

Overview of posts related to my evolving robot car, combining Arduino and Raspberry Pi

Bot in action . The Basics Basic setup using Arduino and Raspberry Pi: Describing the basic construction of the bot, using Pirate-4WD Mobile Platform, Raspberry Pi and Arduino Uno. Ultrasonic Range Sensor on the Raspberry Pi: Interfacing the HC-SR04 ultrasonic sensor module with a Raspberry Pi to measure distance. Using an oscilloscope to dive a little deeper into the inner workings of the sensor. [Read More]