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Showing 459 of 459 pages·21 audited, 438 pending

Array
Computer Science›Programming›C++
Auditedshort
Class and Object
Computer Science›Programming›C++
Auditedlong
Conditional Statement
Computer Science›Programming›C++
Auditedshort
Covariance (C++)
Math & Numerical Methods›Linear Algebra›C++ Implementations
Auditedmedium
Covariance Matrix (C++)
Math & Numerical Methods›Linear Algebra›C++ Implementations
Auditedmedium
DAXPY - A BLAS Example
Math & Numerical Methods›Linear Algebra›Storage & BLAS
Auditedmedium
Dot Product (C++)
Math & Numerical Methods›Linear Algebra›C++ Implementations
Auditedmedium
Exponential Search
Computer Science›Algorithms›Searching
Auditedmedium
For Loop
Computer Science›Programming›C++
Auditedlong
Function
Computer Science›Programming›C++
Auditedshort
Gaussian Elimination
Math & Numerical Methods›Linear Algebra›Direct Methods
Auditedlong
Getline from Console
Computer Science›Programming›C++
Auditedshort
Lambda
Computer Science›Programming›C++
Auditedshort
Lasso Regression (C++)
Math & Numerical Methods›Linear Algebra›C++ Implementations
Auditedlong
Map
Computer Science›Programming›C++
Auditedshort
Power Method Neural Network
Computer Science›Neural Networks
Auditedlong
Struct
Computer Science›Programming›C++
Auditedmedium
Switch Case
Computer Science›Programming›C++
Auditedmedium
Vector
Computer Science›Programming›C++
Auditedmedium
While Loop
Computer Science›Programming›C++
Auditedshort
Write CSV
Computer Science›Programming›C++
Auditedmedium
Arithmetic Units
Computer Science›Gate-Level CPU Simulator
Under auditshort
Bubble Sort
Computer Science›Algorithms›Sorting
Under auditshort
C compiler in Python — overview
Computer Science›Compilers
Under auditmedium
Condition Number & Stability
Math & Numerical Methods›Linear Algebra›Foundations
Under auditmedium
Dijkstra's Algorithm
Computer Science›Algorithms›Graph Algorithms
Under auditmedium
Half-adder
Computer Science›Gate-Level CPU Simulator
Under auditmedium
Heap Sort
Computer Science›Algorithms›Sorting
Under auditmedium
Householder QR Factorization
Math & Numerical Methods›Linear Algebra›Direct Methods
Under auditlong
KMP Algorithm
Computer Science›Algorithms›String Algorithms
Under auditmedium
Logic Gates
Computer Science›Gate-Level CPU Simulator
Under auditshort
Python · Step 1 — The smallest C program
Computer Science›Compilers
Under auditmedium
Python · Step 2 — Unary operators
Computer Science›Compilers
Under auditmedium
Radix Sort
Computer Science›Algorithms›Sorting
Under auditmedium
Section overview
Computer Science›Compilers
Under auditmedium
Selection Sort
Computer Science›Algorithms›Sorting
Under auditshort
Series overview
Computer Science›Normalizing Flows
Under auditmedium
Union-Find Algorithm
Computer Science›Algorithms›Miscellaneous
Under auditmedium
Adomian Decomposition
Math & Numerical Methods›Differential Equations
Flagged for rewritelong
Counting Sort
Computer Science›Algorithms›Sorting
Flagged for rewritemedium
Execution Model
Computer Science›Understand the CPU
Flagged for rewritelong
Explicit Euler Method
Math & Numerical Methods›Differential Equations
Flagged for rewriteshort
File I/O
Computer Science›Programming›C++
Flagged for rewritemedium
Insertion Sort
Computer Science›Algorithms›Sorting
Flagged for rewritemedium
Merge Sort
Computer Science›Algorithms›Sorting
Flagged for rewritemedium
Overview
Computer Science›Gate-Level CPU Simulator
Flagged for rewritemedium
Overview
Computer Science›Understand the CPU
Flagged for rewritelong
Picard Iteration
Math & Numerical Methods›Differential Equations
Flagged for rewritemedium
Pointer
Computer Science›Programming›C++
Flagged for rewritemedium
Policy Calculation
Computer Science›Programming›C++
Flagged for rewritemedium
Policy-Based Design
Computer Science›Programming›C++
Flagged for rewritemedium
Power Iteration
Math & Numerical Methods›Linear Algebra›Iterative Methods
Flagged for rewritemedium
Quick Sort
Computer Science›Algorithms›Sorting
Flagged for rewritemedium
Templates for Functions
Computer Science›Programming›C++
Flagged for rewritemedium
0/1 Knapsack Problem
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
1s Integrals
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedlong
1s Program
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedlong
2D Finite Difference Method
Math & Numerical Methods›Numerical Methods
AI-written, not yet auditedlong
6502 Emulator
Computer Science›Computer Architecture
AI-written, not yet auditedmedium
A-Star Search
Computer Science›Algorithms›Graph Algorithms
AI-written, not yet auditedmedium
ABC: Bayes by Monte Carlo
Statistics & Inference›Simulation-Based Inference
AI-written, not yet auditedmedium
APW Method
Physics & Chemistry›Solid State Physics
AI-written, not yet auditedlong
Architecture
Computer Science›Gate-Level CPU Simulator
AI-written, not yet auditedmedium
Area of Circle
Computer Science›Programming›Fortran
AI-written, not yet auditedshort
Arithmetic Operations
Computer Science›Programming›Fortran
AI-written, not yet auditedmedium
Arnoldi Iteration
Math & Numerical Methods›Linear Algebra›Iterative Methods
AI-written, not yet auditedshort
Bandwidth Experiments
Computer Science›Understand the CPU
AI-written, not yet auditedmedium
Bayes' Rule
Statistics & Inference›Simulation-Based Inference
AI-written, not yet auditedshort
Bell Numbers
Math & Numerical Methods›Combinatorics
AI-written, not yet auditedshort
Bellman-Ford Algorithm
Computer Science›Algorithms›Graph Algorithms
AI-written, not yet auditedmedium
Bernoulli Differential Equation
Math & Numerical Methods›Differential Equations
AI-written, not yet auditedshort
Binary Search
Computer Science›Algorithms›Searching
AI-written, not yet auditedmedium
Bisection
Math & Numerical Methods›Root Finding
AI-written, not yet auditedlong
Bisection (C++)
Math & Numerical Methods›Root Finding
AI-written, not yet auditedlong
Black-Scholes Model
Applied›Finance
AI-written, not yet auditedlong
BMI Calculator
Computer Science›Programming›Fortran
AI-written, not yet auditedshort
Boyer-Moore Algorithm
Computer Science›Algorithms›String Algorithms
AI-written, not yet auditedmedium
Branch Experiments
Computer Science›Understand the CPU
AI-written, not yet auditedlong
Branch Prediction Basics
Computer Science›Understand the CPU
AI-written, not yet auditedlong
Breadth-First Search
Computer Science›Algorithms›Graph Algorithms
AI-written, not yet auditedmedium
Brute-Force Hartree-Fock
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedlong
Brute-Force Hartree-Fock (C++)
Projects›Flagships
AI-written, not yet auditedlong
Brute-Force Hartree-Fock (C++)
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedlong
Bucket Sort
Computer Science›Algorithms›Sorting
AI-written, not yet auditedmedium
Cache Coherence
Computer Science›Understand the CPU
AI-written, not yet auditedmedium
Cache Conflicts
Computer Science›Understand the CPU
AI-written, not yet auditedlong
Cache Overview
Computer Science›Understand the CPU
AI-written, not yet auditedlong
Cache Size Detection
Computer Science›Understand the CPU
AI-written, not yet auditedlong
Capstone Lab
Computer Science›Understand the CPU
AI-written, not yet auditedmedium
Chebyshev Collocation
Math & Numerical Methods›Spectral Methods
AI-written, not yet auditedmedium
Chebyshev Root Distribution
Math & Numerical Methods›Spectral Methods
AI-written, not yet auditedlong
Coin Change Problem
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
Contains Duplicate
Computer Science›Interview Prep›Arrays & Hashing
AI-written, not yet auditedmedium
Control Unit
Computer Science›Gate-Level CPU Simulator
AI-written, not yet auditedshort
Crystals
Physics & Chemistry›Solid State Physics
AI-written, not yet auditedshort
Datapath
Computer Science›Gate-Level CPU Simulator
AI-written, not yet auditedshort
Davidson Method
Math & Numerical Methods›Linear Algebra›Iterative Methods
AI-written, not yet auditedlong
Definitions and Flashcards
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedlong
Depth-First Search
Computer Science›Algorithms›Graph Algorithms
AI-written, not yet auditedmedium
Dimer Energies
Physics & Chemistry›Density Functional Theory
AI-written, not yet auditedlong
Edit Distance
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
Egg Dropping Problem
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
Euclidean Algorithm
Computer Science›Algorithms›Number Theory
AI-written, not yet auditedshort
Euler Method - Exponential (Fortran)
Math & Numerical Methods›Differential Equations
AI-written, not yet auditedmedium
Euler Method - Harmonic Oscillator (Fortran)
Math & Numerical Methods›Differential Equations
AI-written, not yet auditedmedium
Euler-Maruyama Method (Fortran)
Math & Numerical Methods›Differential Equations
AI-written, not yet auditedmedium
False Sharing Experiment
Computer Science›Understand the CPU
AI-written, not yet auditedmedium
Fibonacci Sequence
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
Floyd-Warshall Algorithm
Computer Science›Algorithms›Graph Algorithms
AI-written, not yet auditedmedium
Fourier Coefficients (C++)
Math & Numerical Methods›Series
AI-written, not yet auditedlong
Fourier Series
Math & Numerical Methods›Series
AI-written, not yet auditedlong
Full Configuration Interaction
Physics & Chemistry›Full Configuration Interaction
AI-written, not yet auditedmedium
Function Pointer
Computer Science›Programming›C++
AI-written, not yet auditedmedium
Function Pointers (Advanced)
Computer Science›Programming›C++
AI-written, not yet auditedmedium
Geometric Series (Fortran)
Math & Numerical Methods›Series
AI-written, not yet auditedmedium
Group Anagrams
Computer Science›Interview Prep›Arrays & Hashing
AI-written, not yet auditedmedium
H2 Atom and FCI
Physics & Chemistry›Full Configuration Interaction
AI-written, not yet auditedlong
H2+ Orbital
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedlong
Hardware Prefetch
Computer Science›Understand the CPU
AI-written, not yet auditedlong
Harmonic Oscillator (FD)
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedlong
Hartree-Fock Facts
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedlong
Hartree-Fock Flashcards
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedlong
Hartree-Fock Method
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedlong
Hello World
Computer Science›Programming›C++
AI-written, not yet auditedshort
Hello World
Computer Science›Programming›Fortran
AI-written, not yet auditedshort
Hubbard Dimer and FCI
Physics & Chemistry›Full Configuration Interaction
AI-written, not yet auditedlong
Huffman Coding
Computer Science›Algorithms›Miscellaneous
AI-written, not yet auditedmedium
IEEE Benchmark Test Systems
Applied›Power Systems
AI-written, not yet auditedlong
ILP Experiments
Computer Science›Understand the CPU
AI-written, not yet auditedlong
Implicit Euler Method
Math & Numerical Methods›Differential Equations
AI-written, not yet auditedshort
Implied Volatility
Applied›Finance
AI-written, not yet auditedlong
Infinite Square Well
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedmedium
Input/Output
Computer Science›Programming›Fortran
AI-written, not yet auditedshort
Instruction Latency
Computer Science›Understand the CPU
AI-written, not yet auditedlong
Interactive Algorithm Example
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedmedium
Interpolation Search
Computer Science›Algorithms›Searching
AI-written, not yet auditedmedium
Ising Model
Physics & Chemistry›Statistical Mechanics
AI-written, not yet auditedlong
Jump Search
Computer Science›Algorithms›Searching
AI-written, not yet auditedmedium
Knapsack Problem
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
Kruskal's Algorithm
Computer Science›Algorithms›Graph Algorithms
AI-written, not yet auditedmedium
Lanczos Iteration
Math & Numerical Methods›Linear Algebra›Iterative Methods
AI-written, not yet auditedshort
LAPW Method
Physics & Chemistry›Solid State Physics
AI-written, not yet auditedlong
Leaky Integrate-and-Fire
Neuroscience & Biomedical Computing›Computational Neuroscience
AI-written, not yet auditedmedium
Legendre Polynomials
Math & Numerical Methods›Series
AI-written, not yet auditedlong
Linear Regression (Fortran)
Math & Numerical Methods›Numerical Methods
AI-written, not yet auditedmedium
Linear Search
Computer Science›Algorithms›Searching
AI-written, not yet auditedshort
Lock Contention
Computer Science›Understand the CPU
AI-written, not yet auditedmedium
Longest Common Subsequence
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
Longest Increasing Subsequence
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
Longest Palindromic Subsequence
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
Matrix Chain Multiplication
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
Measurement Methodology
Computer Science›Understand the CPU
AI-written, not yet auditedlong
Memory Bandwidth
Computer Science›Understand the CPU
AI-written, not yet auditedmedium
Modular Exponentiation
Computer Science›Algorithms›Number Theory
AI-written, not yet auditedmedium
Monte Carlo Integration
Math & Numerical Methods›Numerical Methods
AI-written, not yet auditedmedium
Monte Carlo Option Pricing
Applied›Finance
AI-written, not yet auditedlong
Monte Carlo Pi (Fortran)
Math & Numerical Methods›Numerical Methods
AI-written, not yet auditedmedium
Multipole Expansion in Shell Model
Physics & Chemistry›Nuclear Physics
AI-written, not yet auditedmedium
Neural Posterior Estimation
Statistics & Inference›Simulation-Based Inference
AI-written, not yet auditedlong
Newton's Method (Fortran)
Math & Numerical Methods›Root Finding
AI-written, not yet auditedmedium
Normalizing Flows
Statistics & Inference›Simulation-Based Inference
AI-written, not yet auditedlong
Nuclear Shell Model
Physics & Chemistry›Nuclear Physics
AI-written, not yet auditedlong
Numerov's Method
Math & Numerical Methods›Differential Equations
AI-written, not yet auditedlong
Numerov's Method (C++)
Math & Numerical Methods›Differential Equations
AI-written, not yet auditedlong
Pade Approximant
Math & Numerical Methods›Series
AI-written, not yet auditedshort
Performance Analysis
Computer Science›Gate-Level CPU Simulator
AI-written, not yet auditedmedium
Pointer Chasing
Computer Science›Understand the CPU
AI-written, not yet auditedshort
Prim's Algorithm
Computer Science›Algorithms›Graph Algorithms
AI-written, not yet auditedmedium
Product of Array Except Self
Computer Science›Interview Prep›Arrays & Hashing
AI-written, not yet auditedmedium
Quadratic Equation Solver
Computer Science›Programming›Fortran
AI-written, not yet auditedmedium
Rabin-Karp Algorithm
Computer Science›Algorithms›String Algorithms
AI-written, not yet auditedmedium
Real Space vs Second Quantization
Physics & Chemistry›Nuclear Physics
AI-written, not yet auditedmedium
Roadmap
Computer Science›Gate-Level CPU Simulator
AI-written, not yet auditedmedium
Rod Cutting
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
Roofline Model
Computer Science›Understand the CPU
AI-written, not yet auditedmedium
Row-Major and Column-Major Storage
Math & Numerical Methods›Linear Algebra›Storage & BLAS
AI-written, not yet auditedlong
Runge-Kutta Method
Math & Numerical Methods›Differential Equations
AI-written, not yet auditedlong
Self-Test Checklist
Computer Science›Understand the CPU
AI-written, not yet auditedlong
Shell Sort
Computer Science›Algorithms›Sorting
AI-written, not yet auditedmedium
Sieve of Eratosthenes
Computer Science›Algorithms›Number Theory
AI-written, not yet auditedmedium
Simple Addition
Computer Science›Programming›Fortran
AI-written, not yet auditedshort
Simple Interest
Computer Science›Programming›Fortran
AI-written, not yet auditedshort
Slater Orbitals
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedshort
Spectral Derivative
Math & Numerical Methods›Spectral Methods
AI-written, not yet auditedlong
Stable Summation
Math & Numerical Methods›Numerical Methods
AI-written, not yet auditedmedium
STO-nG Fitting
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedlong
Subset Sum Problem
Computer Science›Algorithms›Dynamic Programming
AI-written, not yet auditedmedium
Temperature Conversion
Computer Science›Programming›Fortran
AI-written, not yet auditedshort
Ternary Search
Computer Science›Algorithms›Searching
AI-written, not yet auditedmedium
The Hodgkin-Huxley Model
Neuroscience & Biomedical Computing›Computational Neuroscience
AI-written, not yet auditedlong
The Likelihood Perspective
Statistics & Inference›Simulation-Based Inference
AI-written, not yet auditedmedium
The Path-Integral Frame
Statistics & Inference›Simulation-Based Inference
AI-written, not yet auditedlong
The Wilson-Cowan Model
Neuroscience & Biomedical Computing›Computational Neuroscience
AI-written, not yet auditedlong
TLB Basics
Computer Science›Understand the CPU
AI-written, not yet auditedmedium
TLB Experiments
Computer Science›Understand the CPU
AI-written, not yet auditedmedium
Top K Frequent Elements
Computer Science›Interview Prep›Arrays & Hashing
AI-written, not yet auditedshort
Topological Sort
Computer Science›Algorithms›Graph Algorithms
AI-written, not yet auditedmedium
Trapezoidal Rule
Math & Numerical Methods›Numerical Methods
AI-written, not yet auditedlong
Trie
Computer Science›Algorithms›String Algorithms
AI-written, not yet auditedmedium
Two Sum
Computer Science›Interview Prep›Arrays & Hashing
AI-written, not yet auditedmedium
Valid Anagram
Computer Science›Interview Prep›Arrays & Hashing
AI-written, not yet auditedmedium
Valid Sudoku
Computer Science›Interview Prep›Arrays & Hashing
AI-written, not yet auditedmedium
Variable Declaration
Computer Science›Programming›Fortran
AI-written, not yet auditedmedium
Variables and Arithmetic
Computer Science›Programming›C++
AI-written, not yet auditedshort
Variational Principle
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedshort
Variational Rational
Physics & Chemistry›Quantum Chemistry
AI-written, not yet auditedmedium
Vectorization Experiments
Computer Science›Understand the CPU
AI-written, not yet auditedmedium
Vectorization Overview
Computer Science›Understand the CPU
AI-written, not yet auditedmedium
Where ABC Breaks
Statistics & Inference›Simulation-Based Inference
AI-written, not yet auditedmedium
Why Some Likelihoods Can't Be Written Down
Statistics & Inference›Simulation-Based Inference
AI-written, not yet auditedmedium
Zone Folding
Physics & Chemistry›Solid State Physics
AI-written, not yet auditedmedium
↳ Balanced Binary Tree
Computer Science›Interview Prep›Trees
no entry
↳ Diameter of Binary Tree
Computer Science›Interview Prep›Trees
no entry
↳ Kadane with Indices
Computer Science›Interview Prep›Dynamic Programming
no entry
↳ Kth Smallest in BST
Computer Science›Interview Prep›Trees
no entry
↳ Maximum Product Subarray
Computer Science›Interview Prep›Dynamic Programming
no entry
↳ Maximum Subarray (Circular)
Computer Science›Interview Prep›Dynamic Programming
no entry
↳ Minimum Depth of Binary Tree
Computer Science›Interview Prep›Trees
no entry
↳ Range Sum / Count in BST
Computer Science›Interview Prep›Trees
no entry
↳ Recover BST
Computer Science›Interview Prep›Trees
no entry
↳ Shortest Subarray Sum ≥ K
Computer Science›Interview Prep›Sliding Window
no entry
↳ Sliding Window Minimum
Computer Science›Interview Prep›Sliding Window
no entry
↳ Sort a Linked List
Computer Science›Interview Prep›Linked List
no entry
1D Eigenvalue Problems
Etudes›Concept Anchors
no entry
2D Ising Model (Metropolis MC)
Projects›Statistical Mechanics & MD
no entry
3Sum
Computer Science›Interview Prep›Two Pointers
no entry
Algorithm Overview — Which to Use When
Math & Numerical Methods›Linear Algebra›Foundations
no entry
Almgren-Chriss Optimal Execution
Applied›Finance
no entry
ALU
Computer Science›Gate-Level CPU Simulator
no entry
American Options & Longstaff-Schwartz
Applied›Finance
no entry
An Orchestrator: AI-Feynman + a Solver Portfolio
Applied›Machine Learning›Case Studies
no entry
Attention From Scratch
Computer Science›Interview Prep›ML Engineering
no entry
Autocallable Notes
Applied›Finance
no entry
Backprop a 2-Layer MLP
Computer Science›Interview Prep›ML Engineering
no entry
Best Time to Buy and Sell Stock
Computer Science›Interview Prep›Sliding Window
no entry
Bi-Orthogonal Lanczos
Math & Numerical Methods›Linear Algebra›Iterative Methods
no entry
Binary Tree Level Order Traversal
Computer Science›Interview Prep›Trees
no entry
Binary Tree Max Path Sum
Computer Science›Interview Prep›Trees
no entry
Borel-Padé Resummation
Math & Numerical Methods›Perturbation Methods
no entry
Build Your Own Nuclear DFT (tutorial)
Physics & Chemistry›Nuclear Physics
no entry
Build Your Own SCF (6 projects)
Physics & Chemistry›Quantum Chemistry
no entry
Build Your Own Shell Model (tutorial)
Physics & Chemistry›Nuclear Physics
no entry
Caffarel ZVMC for STO integrals
Paper Reproductions›Quantum Chemistry
no entry
Caffarel ZVMC Reproduction
Projects›Flagships
no entry
Can distance covariance sharpen PLOM?
A Series of Questions›Open Questions
no entry
Casida for Paints: Color from Conjugation
Physics & Chemistry›Quantum Chemistry
no entry
Casida Hermitian rewrite
Tools›Derivation Walker
no entry
Casida's Equation
Math & Numerical Methods›Perturbation Methods
no entry
Change of variables in 1D
Computer Science›Normalizing Flows
no entry
Climbing Stairs
Computer Science›Interview Prep›Dynamic Programming
no entry
Coin Change
Computer Science›Interview Prep›Dynamic Programming
no entry
Composing flows
Computer Science›Normalizing Flows
no entry
Conjugate Gradient
Math & Numerical Methods›Linear Algebra›Iterative Methods
no entry
Conservation Laws & Riemann Problems
Math & Numerical Methods›Partial Differential Equations
no entry
Container With Most Water
Computer Science›Interview Prep›Two Pointers
no entry
Could AAA-fit rationals replace Slater orbitals?
A Series of Questions›Open Questions
no entry
Course Schedule
Computer Science›Interview Prep›Graphs
no entry
Critical Exponents from Finite-Size Scaling
Projects›Statistical Mechanics & MD
no entry
Cross-Entropy + Softmax Gradient
Computer Science›Interview Prep›ML Engineering
no entry
DMRG and Matrix Product States
Physics & Chemistry›Tensor Networks
no entry
Dopant Diffusion
Applied›Semiconductor Fabrication
no entry
Dropout From Scratch
Computer Science›Interview Prep›ML Engineering
no entry
Edit Distance
Computer Science›Interview Prep›Dynamic Programming
no entry
Etude: Local Functional Derivatives
Physics & Chemistry›Quantum Chemistry
no entry
Exotic Options (Digital, Barrier, Asian, Lookback)
Applied›Finance
no entry
Expanding in the Eigenbasis
Math & Numerical Methods›Linear Algebra›Foundations
no entry
Fibonacci and the DP Family
Etudes›Concept Anchors
no entry
Filling Orbitals: RHF, UHF, and the Ansatz Ladder
Physics & Chemistry›Quantum Chemistry
no entry
Find Median from Data Stream
Computer Science›Interview Prep›Heap / Priority Queue
no entry
Finite Difference Methods
Math & Numerical Methods›Partial Differential Equations
no entry
Fixed-Point Iteration
Math & Numerical Methods›Root Finding
no entry
Floating-Point Arithmetic
Math & Numerical Methods›Numerical Methods
no entry
Formula Discovery Without Search (Meijer G)
Projects›Formula Discovery (Knot → wasm)
no entry
Full-adder
Computer Science›Gate-Level CPU Simulator
no entry
Functional Derivatives
Physics & Chemistry›Quantum Chemistry
no entry
Gamma Knife Dose Simulation
Projects›Biomedical Physics
no entry
Gamma Knife Dose Simulation
Neuroscience & Biomedical Computing›Medical Physics
no entry
GARCH and Realized Volatility
Applied›Finance
no entry
Gaussian Product Theorem = Parallel Axis Theorem
Physics & Chemistry›Quantum Chemistry
no entry
Generate Parentheses
Computer Science›Interview Prep›Backtracking
no entry
Geometry Optimization (by diff)
Physics & Chemistry›Quantum Chemistry
no entry
GPU-Accelerated Ising (PyTorch/MPS)
Projects›Statistical Mechanics & MD
no entry
Gradient Descent
Math & Numerical Methods›Optimization
no entry
Greeks and Delta Hedging
Applied›Finance
no entry
Green's Functions
Math & Numerical Methods›Partial Differential Equations
no entry
Hamiltonian Monte Carlo
Statistics & Inference›Markov Chain Monte Carlo
no entry
Hartree-Fock-Bogoliubov
Physics & Chemistry›Nuclear Physics
no entry
Heston Stochastic Volatility
Applied›Finance
no entry
House Robber
Computer Science›Interview Prep›Dynamic Programming
no entry
Hyperasymptotics
Math & Numerical Methods›Perturbation Methods
no entry
Implement Trie
Computer Science›Interview Prep›Trie
no entry
Integral Recurrences: OS vs MD (overview)
Physics & Chemistry›Quantum Chemistry
no entry
Jamming
Physics & Chemistry›Statistical Mechanics
no entry
K-Means From Scratch
Computer Science›Interview Prep›ML Engineering
no entry
KCL, KVL, and Ohm's Law
Circuits›Foundations
no entry
Kelly Criterion & Position Sizing
Applied›Finance
no entry
Kernel Polynomial Method (density of states)
Math & Numerical Methods›Spectral Methods
no entry
Kohn-Sham Orbitals
Physics & Chemistry›Density Functional Theory
no entry
Kth Largest Element
Computer Science›Interview Prep›Heap / Priority Queue
no entry
Lanczos ↔ continued fractions
Tools›Cycling Rephrasings
no entry
Lanczos Learns the Optimal Basis
Math & Numerical Methods›Linear Algebra›Iterative Methods
no entry
Lanczos MOR for Large Circuits
Circuits›Linear Analog
no entry
Largest Rectangle in Histogram
Computer Science›Interview Prep›Stack
no entry
Layer Normalization
Computer Science›Interview Prep›ML Engineering
no entry
Learning to Sample (SLMC on PySCF)
Projects›Flagships
no entry
Lennard-Jones MD (Velocity Verlet)
Projects›Statistical Mechanics & MD
no entry
LIF Network Linear-Response (Lanczos+CF)
Neuroscience & Biomedical Computing›Computational Neuroscience
no entry
Limits, Completeness, and Finitism
Math & Numerical Methods›Analysis & Foundations
no entry
Linear Regression
Applied›Machine Learning›From Scratch
no entry
Linear Response Theory
Math & Numerical Methods›Perturbation Methods
no entry
Liouville-Lanczos Linear-Response TDDFT
Math & Numerical Methods›Perturbation Methods
no entry
Logistic Regression
Applied›Machine Learning›From Scratch
no entry
Longest Consecutive Sequence
Computer Science›Interview Prep›Arrays & Hashing
no entry
Longest Palindromic Substring
Computer Science›Interview Prep›Dynamic Programming
no entry
Longest Substring No Repeat
Computer Science›Interview Prep›Sliding Window
no entry
Lowest Common Ancestor
Computer Science›Interview Prep›Trees
no entry
LRU Cache
Computer Science›Interview Prep›Linked List
no entry
Maximum Depth of Binary Tree
Computer Science›Interview Prep›Trees
no entry
Maximum Subarray
Computer Science›Interview Prep›Dynamic Programming
no entry
MCMC From Scratch
Projects›Statistics & ML
no entry
McMurchie-Davidson
Physics & Chemistry›Quantum Chemistry
no entry
Mean-Variance Portfolio Optimization
Applied›Finance
no entry
Median of Two Sorted Arrays
Computer Science›Interview Prep›Binary Search
no entry
Merge Intervals
Computer Science›Interview Prep›Intervals
no entry
Merge K Sorted Lists
Computer Science›Interview Prep›Linked List
no entry
Merge Two Sorted Lists
Computer Science›Interview Prep›Linked List
no entry
Method of Characteristics
Math & Numerical Methods›Partial Differential Equations
no entry
Method of Lines
Math & Numerical Methods›Partial Differential Equations
no entry
Min Stack
Computer Science›Interview Prep›Stack
no entry
Moshinsky Transform
Physics & Chemistry›Nuclear Physics
no entry
Multi-Head Attention
Computer Science›Interview Prep›ML Engineering
no entry
NN-Guided Symmetry Discovery
Projects›Formula Discovery (Knot → wasm)
no entry
Number of Islands
Computer Science›Interview Prep›Graphs
no entry
Obara-Saika
Physics & Chemistry›Quantum Chemistry
no entry
Operator Splitting
Math & Numerical Methods›Partial Differential Equations
no entry
Orthogonal polynomials from a stochastic Sturm-Liouville?
A Series of Questions›Open Questions
no entry
Oscillator Strengths
Physics & Chemistry›Quantum Chemistry
no entry
Ownership & Smart Pointers (by diff)
Computer Science›Programming›C++
no entry
Padé Approximants
Math & Numerical Methods›Perturbation Methods
no entry
Padé via Lanczos (Feldmann & Freund 1995)
Circuits›Linear Analog
no entry
Pairs Trading and Cointegration
Applied›Finance
no entry
Particle-Hole Excitations
Physics & Chemistry›Quantum Chemistry
no entry
PCA From Scratch
Computer Science›Interview Prep›ML Engineering
no entry
Permutations
Computer Science›Interview Prep›Backtracking
no entry
Perturbation Theory & Resurgence
Math & Numerical Methods›Perturbation Methods
no entry
Photolithography
Applied›Semiconductor Fabrication
no entry
Playground (run Knot in your browser)
Computer Science›The Knot Language
no entry
Positronium: Para, Ortho & the Zeeman Effect
Physics & Chemistry›Quantum Physics
no entry
Probabilistic Learning on Manifolds
Projects›Statistics & ML
no entry
PySCF Basics (by diff)
Physics & Chemistry›Quantum Chemistry
no entry
Quantities of Interest (Measurement ↔ Model)
Computer Science›Performance Engineering
no entry
Quantities of Interest (Measurement ↔ Model)
Physics & Chemistry›Quantum Chemistry
no entry
Quantities of Interest (Measurement ↔ Model)
Physics & Chemistry›Solid State Physics
no entry
Quantities of Interest (Measurement ↔ Model)
Physics & Chemistry›Statistical Mechanics
no entry
Quantities of Interest (Measurement ↔ Model)
Physics & Chemistry›Nuclear Physics
no entry
Quantities of Interest (Measurement ↔ Model)
Neuroscience & Biomedical Computing›Computational Neuroscience
no entry
Quantum Magnetism & Superexchange
Physics & Chemistry›Strongly Correlated Systems
no entry
Regular Expression Matching
Computer Science›Interview Prep›Dynamic Programming
no entry
Reservoir Sampling
Computer Science›Interview Prep›ML Engineering
no entry
Reverse Linked List
Computer Science›Interview Prep›Linked List
no entry
Reverse-Mode Autodiff Engine
Projects›Statistics & ML
no entry
Ripple-carry Adder
Computer Science›Gate-Level CPU Simulator
no entry
Run a real SCF in your browser (wasm)
Physics & Chemistry›Quantum Chemistry
no entry
SCF in the Browser (Knot → C → wasm)
Projects›Flagships
no entry
Search in Rotated Sorted Array
Computer Science›Interview Prep›Binary Search
no entry
Section overview
Projects›Flagships
no entry
Section overview
Computer Science›Interview Prep
no entry
Section overview
Math & Numerical Methods›Partial Differential Equations
no entry
Section overview
Math & Numerical Methods›Perturbation Methods
no entry
Section overview
Physics & Chemistry›Quantum Physics
no entry
Self-Learning MC on a PySCF Surface
Projects›Statistical Mechanics & MD
no entry
Self-Learning Monte Carlo
Applied›Machine Learning›Case Studies
no entry
SEM · Series overview
Math & Numerical Methods›Spectral Methods
no entry
SEM · Step 1 — GLL points and the Lagrange basis
Math & Numerical Methods›Spectral Methods
no entry
SEM · Step 2 — Quadrature and the diagonal mass matrix
Math & Numerical Methods›Spectral Methods
no entry
Separation of Variables
Math & Numerical Methods›Partial Differential Equations
no entry
Serialize Binary Tree
Computer Science›Interview Prep›Trees
no entry
Series overview
Math & Numerical Methods›Finite Elements
no entry
Series overview
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Shanks Transformation & Wynn's ε-Algorithm
Math & Numerical Methods›Perturbation Methods
no entry
Sharpe Ratio and Backtest Evaluation
Applied›Finance
no entry
Sigmoid and Its Gradient
Computer Science›Interview Prep›ML Engineering
no entry
Single-Particle Models
Physics & Chemistry›Foundations
no entry
Singular Value Decomposition
Math & Numerical Methods›Linear Algebra›Direct Methods
no entry
SISSO: Symbolic Regression as Compressed Sensing
Applied›Machine Learning›Case Studies
no entry
Skyrme–Hartree–Fock (Vautherin–Brink)
Physics & Chemistry›Nuclear Physics
no entry
Slater Orbitals: The Integral Problem
Physics & Chemistry›Quantum Chemistry
no entry
Sliding Window Maximum
Computer Science›Interview Prep›Sliding Window
no entry
Spectra from Moments
Math & Numerical Methods›Linear Algebra›Iterative Methods
no entry
Spectral Functions from Krylov Moments
Projects›Flagships
no entry
Spectral Methods
Math & Numerical Methods›Partial Differential Equations
no entry
Stable Softmax
Computer Science›Interview Prep›ML Engineering
no entry
States, Operators & Measurement
Physics & Chemistry›Quantum Physics
no entry
Step 1 — The setup
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Step 1 — The weak form
Math & Numerical Methods›Finite Elements
no entry
Step 10 — Poisson on a Delaunay mesh
Math & Numerical Methods›Finite Elements
no entry
Step 10 — The H2 binding curve
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Step 11 — Afterward
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Step 2 — A 1D mesh from scratch
Math & Numerical Methods›Finite Elements
no entry
Step 2 — The variational principle
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Step 3 — Atomic basis functions
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Step 3 — Solving 1D Poisson
Math & Numerical Methods›Finite Elements
no entry
Step 4 — A 2D triangular mesh
Math & Numerical Methods›Finite Elements
no entry
Step 4 — Many-electron wavefunctions
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Step 5 — Solving 2D Poisson
Math & Numerical Methods›Finite Elements
no entry
Step 5 — The Hartree-Fock equations
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Step 6 — Convergence
Math & Numerical Methods›Finite Elements
no entry
Step 6 — The Roothaan-Hall equations
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Step 7 — The heat equation
Math & Numerical Methods›Finite Elements
no entry
Step 7 — The SCF iteration
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Step 8 — Linear elasticity
Math & Numerical Methods›Finite Elements
no entry
Step 8 — Multi-centre 1-electron integrals
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Step 9 — Delaunay triangulation
Math & Numerical Methods›Finite Elements
no entry
Step 9 — Multi-centre 2-electron integrals
Physics & Chemistry›Quantum Chemistry›From Scratch (H2)
no entry
Subsets
Computer Science›Interview Prep›Backtracking
no entry
Subtraction
Computer Science›Gate-Level CPU Simulator
no entry
Symbolic Regression in the Browser
Projects›Formula Discovery (Knot → wasm)
no entry
Symbolic Regression: Rediscovering Laws
Applied›Machine Learning›Case Studies
no entry
Symbolic Rule-Learning Engines
Applied›Machine Learning›Case Studies
no entry
SymGPT: A Transformer for Symbolic Regression
Applied›Machine Learning›Case Studies
no entry
The Dipole Operator & Transition Moments
Physics & Chemistry›Quantum Physics
no entry
The Fermion Sign Problem
Physics & Chemistry›Strongly Correlated Systems
no entry
The Hard-Sphere Fluid
Physics & Chemistry›Statistical Mechanics
no entry
The Knot Playground
Projects›Formula Discovery (Knot → wasm)
no entry
The Legendre Transform
Math & Numerical Methods›Optimization
no entry
The Limit Order Book
Applied›Finance
no entry
The Mott Transition
Physics & Chemistry›Strongly Correlated Systems
no entry
The PN Junction
Applied›Semiconductor Fabrication
no entry
The Radial Distribution Function
Physics & Chemistry›Statistical Mechanics
no entry
The RC Circuit
Circuits›Linear Analog
no entry
The Resolvent & Spectral Function
Math & Numerical Methods›Linear Algebra›Foundations
no entry
The RLC Circuit
Circuits›Linear Analog
no entry
The RPA (A, B) Eigenproblem
Math & Numerical Methods›Linear Algebra›Foundations
no entry
The Three Classical Equations
Math & Numerical Methods›Partial Differential Equations
no entry
Thermal Oxidation (Deal-Grove)
Applied›Semiconductor Fabrication
no entry
Three Representations of 1/r₁₂
Physics & Chemistry›Quantum Chemistry
no entry
Time-Dependent DFT
Math & Numerical Methods›Perturbation Methods
no entry
Time-Dependent Schrödinger
Math & Numerical Methods›Partial Differential Equations
no entry
Training a flow on two moons
Computer Science›Normalizing Flows
no entry
Transformer From Scratch (GPT)
Projects›Statistics & ML
no entry
Trapping Rain Water
Computer Science›Interview Prep›Two Pointers
no entry
Two-Level Systems & Spin-1/2
Physics & Chemistry›Quantum Physics
no entry
Two-Site DMFT
Physics & Chemistry›Strongly Correlated Systems
no entry
Valid Parentheses
Computer Science›Interview Prep›Stack
no entry
Validate BST
Computer Science›Interview Prep›Trees
no entry
Value at Risk
Applied›Finance
no entry
Variance Swaps
Applied›Finance
no entry
Variational Perturbation Theory
Math & Numerical Methods›Perturbation Methods
no entry
Variational Quantum Eigensolver (H₂)
Physics & Chemistry›Quantum Computing
no entry
Volatility Surfaces and Calibration
Applied›Finance
no entry
Wang-Landau on a PySCF Surface
Projects›Statistical Mechanics & MD
no entry
Welford Mean & Variance
Computer Science›Interview Prep›ML Engineering
no entry
When a Linear Model Stops Being Linear
Applied›Machine Learning›Why Neural Networks
no entry
Why Naive GS + Power Iteration Fails
Math & Numerical Methods›Linear Algebra›Iterative Methods
no entry
WKB and Semiclassical Methods
Math & Numerical Methods›Perturbation Methods
no entry
Word Break
Computer Science›Interview Prep›Dynamic Programming
no entry
Word Ladder
Computer Science›Interview Prep›Graphs
no entry
Word Search
Computer Science›Interview Prep›Backtracking
no entry
Worked Ladder: Spin Operators in Positronium
Physics & Chemistry›Quantum Physics
no entry