- Видео 10
- Просмотров 38 401
Casual Science
Добавлен 2 май 2020
Why Pretty Much Everything is a Harmonic Oscillator
Here we discuss why the harmonic oscillator is such an important and ubiquitous system. We give a basic summary of classical mechanics and attempt to both sketch a rigorous idea and focus on the connections that can be found between systems using mathematics.
0:00 - Introduction
2:23 - Mass on a spring
5:24 - Constructing the differential equation
6:34 - Properties of the equation
8:15 - Physics background
12:50 - Generalization to systems of particles
14:41 - Why the oscillator arises
26:37 - What this means
30:15 - Outro
0:00 - Introduction
2:23 - Mass on a spring
5:24 - Constructing the differential equation
6:34 - Properties of the equation
8:15 - Physics background
12:50 - Generalization to systems of particles
14:41 - Why the oscillator arises
26:37 - What this means
30:15 - Outro
Просмотров: 434
Видео
Attention and Transformer Neural Networks: A Pedagogical and Detailed Explanation
Просмотров 6312 года назад
In this video we break down attention based layers and transformer neural networks. We cover how information flows in detail, the inductive bias of the network, intuition behind why it works, and so on. Further Reading: lena-voita.github.io/nlp_course/seq2seq_and_attention.html
A Brief History Of Elementary Particles (Part 1)
Просмотров 1,9 тыс.2 года назад
In this video, we discuss the discovery of atoms, the electron, nucleus, and photon spanning the years of 1896-1915. The key experiments are presented with some detail, and the discussion around the discoveries are also presented. Further Reading: Electrons www.britannica.com/science/atom/Discovery-of-electrons Nucleus www.aps.org/publications/apsnews/200605/history.cfm www.britannica.com/scien...
Intuition and Examples for Lagrange Multipliers (Animated)
Просмотров 34 тыс.3 года назад
We discuss the idea behind Lagrange Multipliers, why they work, as well as why and when they are useful. External Images Used: 1. www.greenbelly.co/pages/contour-lines 2. mathoverflow.net/questions/1977/why-is-the-gradient-normal Further Reading: 1. The Variational Principles of Mechanics, Cornelius Lanczos, 2.1-2.6 2. www.math.toronto.edu/courses/mat237y1/20189/notes/Chapter2/S2.8.html 3. abel...
What you need to know about Bayes' Rule, Probability Density Functions, Marginal/Conditional Probs
Просмотров 5833 года назад
We cover the basic ideas of probability theory from probability density functions (i.e. functions that tell us how likely different events are to occur) to conditional and marginal probability distributions. The focus is on a pedagogical presentation over a strictly rigorous one. Each idea is presented with the context of specific examples and then generalized. The final example uses data from:...