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219 short explanations, each with a definition, intuition, a worked example and the math. Every topic links to a chat assistant you can ask follow-ups.
80 topics
Game theory
Strategy, equilibrium and incentives, from the prisoner’s dilemma to mechanism design.
50 topics
Islamic Golden Age
Scholars, institutions and ideas of the Islamic Golden Age: algebra, optics, medicine and philosophy.
41 topics
Data science
Statistics, evaluation and machine-learning concepts with the math shown.
Train/Test SplitLogistic RegressionProbability Distributions
16 topics
Linear algebra
Vectors, matrices, eigenvalues and projections: the algebra behind machine learning.
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Game theory
- Nash Equilibrium
- Prisoner's Dilemma
- Dominant Strategy
- Mixed Strategy
- Pure Strategy
- Zero-Sum Game
- Cooperative Game
- Non-Cooperative Game
- Minimax Theorem
- Extensive-Form Game
- Normal-Form Game
- Bayesian Game
- Repeated Game
- Evolutionary Game Theory
- Evolutionarily Stable Strategy
- Replicator Dynamics
- Stackelberg Competition
- Cournot Competition
- Bertrand Competition
- Auction Theory
- Vickrey Auction
- Mechanism Design
- Revelation Principle
- Shapley Value
- Core (of a Cooperative Game)
- Coalition Formation
- Nash Bargaining Solution
- Rubinstein Bargaining
- Correlated Equilibrium
- Subgame Perfect Equilibrium
- Perfect Bayesian Equilibrium
- Trembling-Hand Perfection
- Battle of the Sexes
- Hawk-Dove Game
- Stag Hunt
- Chicken Game
- Matching Pennies
- Ultimatum Game
- Centipede Game
- Public-Goods Game
- Tragedy of the Commons
- Signaling Games
- Screening Games
- Principal-Agent Problem
- Folk Theorem
- Tit-for-Tat
- Backward Induction
- Iterated Elimination of Dominated Strategies
- Rationalizability
- Common Knowledge
- Potential Games
- Congestion Games
- Price of Anarchy
- Zermelo's Theorem
- Harsanyi Transformation
- Pareto Efficiency
- Sequential Equilibrium
- Proper Equilibrium
- Quantal Response Equilibrium
- Level-k Reasoning
- Global Games
- Supermodular Games
- Wardrop Equilibrium
- Price of Stability
- Smoothed Analysis of Price of Anarchy
- No-Regret Learning
- Fictitious Play
- Evolutionarily Stable Sets
- Cheap Talk
- Berge Equilibrium
- Mean Field Game
- Algorithmic Mechanism Design
- Fair Division
- Voting Theory
- Social Choice Theory
- Banzhaf Power Index
- Core Selection (Matching)
- Best-response table
- Mixed-equilibrium calculation
- Limits of equilibrium predictions
Islamic Golden Age
- House of Wisdom
- Al-Khwarizmi
- Algebra
- Al-Kindi
- Ibn Sina (Avicenna)
- Canon of Medicine
- Ibn al-Haytham (Alhazen)
- Optics in the Golden Age
- Translation Movement
- Al-Razi (Rhazes)
- Astrolabe
- Astronomy in the Golden Age
- Development of Algebra
- Maragha School
- Paper Making
- Ibn Rushd (Averroes)
- Al-Ghazali
- Medicine in the Golden Age
- Al-Biruni
- Al-Zahrawi (Abulcasis)
- Ibn al-Nafis
- Philosophy in the Golden Age
- Al-Farabi
- Omar Khayyam
- Al-Zarqali
- Nasir al-Din al-Tusi
- Ibn al-Shatir
- Ulugh Beg
- Al-Battani
- Hunayn ibn Ishaq
- Al-Idrisi
- Ibn Khaldun
- Al-Jazari
- Banu Musa Brothers
- Thabit ibn Qurra
- Al-Karaji
- Al-Samawal
- Ibn Sahl
- Al-Farghani
- Qusta ibn Luqa
- Al-Majriti
- Fatima al-Fihri
- Mariam al-Astrulabi
- Lubana of Cordoba
- Abbas ibn Firnas
- Ibn Bajjah (Avempace)
- Ibn Tufayl
- Reading historical sources
- Networks of knowledge transmission
- Periodization of the Islamic Golden Age
Data science
- Python for Data Work
- Pandas DataFrame
- NumPy Arrays
- Data Cleaning
- Missing Values
- Data Visualization
- Descriptive Statistics
- Probability Basics
- Probability Distributions
- Train/Test Split
- Classification
- Logistic Regression
- Decision Trees
- Regression
- Linear Regression
- Clustering
- K-Means Clustering
- Feature Engineering
- Model Evaluation
- Accuracy
- Precision and Recall
- F1 Score
- ROC and AUC
- Overfitting
- Underfitting
- Cross-Validation
- Data Leakage
- Bias-Variance Tradeoff
- Regularization
- Ensemble Methods
- Principal Component Analysis
- Time Series Analysis
- Model Deployment
- Browser and Local ML
- Exploratory Data Analysis
- Outlier Detection
- Feature Scaling
- Dimensionality Reduction
- Grouped cross-validation
- Probability calibration
- Dataset shift