User:Oleg Kobchenko/Essays
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Essays Subject Map represents traditional two-level hierarchy of major/minor topics. Each essay is listed at the topic it represents most so that the size of the map is minimal for easy browsing.
Math
Functions and Sequences
- Ackermann's Function
- Bifactorial
- Bernstein Polynomials
- Double Factorial
- Fibonacci Index
- Fibonacci Sequence
- Fibonacci Sums, Zeckendorf Representation
- Integer Root
- Large Exponent Real Arithmetic
- Linear Recurrences
- Lorenz Attractor
- Sine
- Square Root
- Stirling Numbers
- Stirling's Approximation
Factors, Fractions and Primes
- Continued Fractions
- Divisors
- Factorings
- Egyptian Fraction
- Primes Less Than n
- Totient Function
- Unique Factors
Combinatorics and Cryptography
- Anagram
- Base Spectrum
- Combinations
- Combination Index
- RNG
- RSA Challenge
- Self-Downgrading Permutations
- Self-Upgrading Permutations
Probability, Statistics and Finance
Problems and Games
Problems and Theorems
- The Ball Clock Problem
- Extended H, Binary Tree
- Cayley's Theorem
- Chinese Remainder Theorem
- Collatz Conjecture
- The Monty Hall Problem
- Generalized Monty Hall
- Goldbach Conjecture
- Josephus Problem
- Unit Fraction Sum
- Vier Neun
Games
- AnimalsGame
- Kakuro カックロ, Cross Sums
- Mastermind, moo
- Set Game
- Sudoku 數独
Chess
Algorithms and Arrays
Algorithms
- Binary GCD Algorithm
- Block Matrix Inverse
- Cholesky Decomposition
- Chi-Squared CDF
- Euclidean Algorithm
- Gray Code
- Minimal Spanning Tree, Kruskal's Algorithm
- Multiplicative Order
- Non-Adjacent Form (NAF)
- Quicksort
- Recursive Descent Parser
- Regex Lexer
- Repeated Squaring
- Roman Numerals
- Simplex Method
Arrays and Matrices
- Boolean Array Size
- Boxed Array Display
- Hilbert Matrix
- Identity Matrix
- LU Decomposition
- QR Decomposition
- Matrix Inverse
- Matrix Powers, Linear Recurrences
- Pascal's Ladder
- Pascal's Triangle
- Symmetric Array
- Symmetries of the Square
- Transpose
- Triangular Matrix Inverse
Indices and Partitions
System and Language
Syntax
- Capped Fork
- Distributed Apply
- Duality
- Hook Conjunction?
- Hook Rank
- Negative Rank
- Reflexive
- Self-Valued Expression
- Short Circuit Boolean
- Scope
- Tacit Expressions
- Under
System, Programming and Style
- Brevity
- Essentials of J
- Incunabulum
- Memoization
- The TAO of J
- Teaching J Syntax
- Tolerant Comparison
- Witticisms
References and History