Graph Theory Courses

Ryan O'Donnell

Fast Fourier Transform - Lecture 7c of CS Theory Toolkit

Explore the Fast Fourier Transform algorithm and its application in efficient integer multiplication, with insights from a CMU graduate-level computer science theory course.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Ryan O'Donnell

The Word RAM Model - Lecture 6c of CS Theory Toolkit

Explore the Word RAM model for algorithms and its impact on integer sorting complexity in this graduate-level lecture on theoretical computer science fundamentals.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Ryan O'Donnell

Computational Models - Turing Machines - CMU - CS Theory Toolkit

Explore Turing Machines as a computational model, covering historical advantages, multitape variations, and key concepts like memory, time, and space bounds in theoretical computer science.

• YouTube
• 26 minutes
• Self-Paced
• Free Video

Ryan O'Donnell

Factorial Asymptotics, Stirling's Formula - Lecture 3b of CS Theory Toolkit

Explore factorial asymptotics and Stirling's Formula in this graduate-level lecture, covering mathematical techniques for theoretical computer science research.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

Ryan O'Donnell

Big O and Friends - Lecture 2a of CS Theory Toolkit

Explore asymptotic notation in theoretical computer science, covering Big O, Omega, and related concepts. Essential for understanding algorithm efficiency and complexity analysis.

• YouTube
• 28 minutes
• Self-Paced
• Free Video

Ryan O'Donnell

How to Do CS Theory - Lecture 1b: Research Tips for Theoretical Computer Science

Insights and tips for aspiring theoretical computer science researchers, covering research methods, paper writing, presentation skills, and essential resources in the field.

• YouTube
• 36 minutes
• Self-Paced
• Free Video

Paul Hand

Theory of GANs for Compressed Sensing

Explore the theory of GAN priors in compressed sensing, covering key concepts, proofs, and optimization problems. Gain insights into visual representation and set restricted eigen value conditions.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Brian McLogan

Graph Rational Functions - Rational Functions - Pre-Calculus

Learn to identify asymptotes and intercepts of rational functions, starting with reciprocal functions. Master graphing techniques and gain practical skills for analyzing complex mathematical relationships.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

HandleBar3D

Electra Wheel Design Theory - Finding Form in Space - Part 1

Explore 3D wheel design theory using Alias Autostudio Pro, focusing on volume creation, sketching techniques, and form development for automotive applications.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

Models of Consciousness Conferences

Expected Float Entropy Minimisation: A Relationship Content Theory of Consciousness

Explores a mathematical theory of consciousness called Expected Float Entropy minimization, proposing how the brain defines conscious content through relationships and information processing.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Models of Consciousness Conferences

Sketches of a Mathematical Theory of Qualia

Exploración matemática de los qualia: definición, estructura y relación con la teoría cuántica. Propone un modelo de conciencia basado en principios abstractos del comportamiento de dispositivos que detectan qualia.

• YouTube
• 20 minutes
• Self-Paced
• Free Video

Insights into Mathematics

How to Develop a Proper Theory of Infinitesimals I - Famous Math Problems

Explore the history and development of infinitesimals in mathematics, from Archimedes to modern approaches, with a focus on the Dihedron algebra and dual complex numbers.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Maxel Theory - New Thinking About Matrices II - Data Structures Math Foundations

Exploring maxel theory as an extension of matrix theory, focusing on multiset views, distributive and associative laws, 1-maxels, and frames. Introduces new terminology and notation for a data structure-oriented approach.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Logical Difficulties With the Modern Theory of Limits - Real Numbers + Limits Math Foundations

Explores logical issues in modern limit theory, examining extended harmonic sequences and the Collatz problem to reveal challenges in defining limits for infinite computations in mathematical analysis.

• YouTube
• 37 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Algebraic Number Theory and Rings I - Math History - NJ Wildberger

Explore algebraic number theory and rings, focusing on extension fields, Gaussian integers, and the development of abstract ring theory in 19th-century mathematics.

• YouTube
• 48 minutes
• Self-Paced
• Free Video