I've started reading the Principia and have been trying to follow along with the examples. Unfortunately, I got stuck almost immediately. This example is from 'Axioms, or laws of motion', Law III, Corollary II. It is based on the following picture (everything in red is my addition):
The text...
I'm studying Quantum Field Theory for the Gifted Amateur and feel like my math background for it is a bit shaky. This was my attempt at a derivation of the above. I know it's not rigorous, but is it at least conceptually right? I'll only show it for bosons since it's pretty much the same for...
The Earth pulls different masses with different amounts of force according to Newton's law of gravitation ##F = G\frac{m_1m_2}{r^2}##. Gravitational force is proportional to both the mass of the Earth and the mass of the other object. You are correct that the force and acceleration of a given...
I'm an undergrad physics and computer science student most of the way done with my degrees. I have a background in math (calculus, linear algebra, a little bit of group theory). Machine learning and data science are also areas that I'm actively studying. For anyone interested, my name is based...