Essays/Directory

This page has the full Essays directory list. The entries are in alphabetical order of page name.

For more information, see Essays/About. See Essays for a list by title.

To rebuild the Essays page, click Rebuild Directory.

[[Doc/A Source Book in APL#origins|APL Origins]]
[[Essays/235Problem|235 Problem]]
[[Essays/2^64|2^64]]
[[Essays/4 Queens Problem|4 Queens Problem]]
[[Essays/88 Hats|88 Hats]]
[[Essays/9 Queens Problem|9 Queens Problem]]
[[Essays/99 Bottles of Beer|99 Bottles of Beer]]
[[Essays/A Fine Line|A Fine Line]]
[[Essays/APL Acknowledgements|APL Acknowledgements]]
[[Essays/APL Developers Photo|APL\360 Developers Photo]]
[[Essays/APL's Birthday|APL's Birthday]]
[[Essays/Absolute and Relative Tolerance|Absolute and Relative Tolerance]]
[[Essays/Ackermann's Function|Ackermann's Function]]
[[Essays/Advent Of Code|Advent Of Code]]
[[Essays/AllPartitions|AllPartitions]]
[[Essays/Anagram|Anagram]]
[[Essays/AnimalsGame|AnimalsGame]]
[[Essays/Attribute-Value Processing|Attribute-Value Processing]]
[[Essays/Base Spectrum|Base Spectrum]]
[[Essays/Bernoulli Numbers|Bernoulli Numbers]]
[[Essays/Bernstein Polynomials|Bernstein Polynomials]]
[[Essays/Beta Function|Beta Function]]
[[Essays/Bibliography|Bibliography]]
[[Essays/Bifactorial|Bifactorial]]
[[Essays/Binary GCD Algorithm|Binary GCD Algorithm]]
[[Essays/Binary Probability|Binary Probability]]
[[Essays/Birthday Problem|Birthday Problem]]
[[Essays/Bisection Method|Bisection Method]]
[[Essays/Bitwise Functions on Characters|Bitwise Functions on Characters]]
[[Essays/Block Matrix Inverse|Block Matrix Inverse]]
[[Essays/Boolean Array Size|Boolean Array Size]]
[[Essays/Boxed Array Display|Boxed Array Display]]
[[Essays/Brevity|Brevity]]
[[Essays/Capped Fork|Capped Fork]]
[[Essays/Cayley's Theorem|Cayley's Theorem]]
[[Essays/Check Sums|Check Sums]]
[[Essays/ChessboardPuzzle|ChessboardPuzzle]]
[[Essays/Chi Squared CDF|Chi-Squared CDF]]
[[Essays/Chinese Remainder Theorem|Chinese Remainder Theorem]]
[[Essays/Cholesky Decomposition|Cholesky Decomposition]]
[[Essays/Christoffel|Christoffel Expressions]]
[[Essays/Chudnovsky Algorithm|Chudnovsky Algorithm]]
[[Essays/Chudnovsky Algorithm|Pi]]
[[Essays/Clockwise Angles|Clockwise Angles]]
[[Essays/Collatz Conjecture|3n + 1 Problem]]
[[Essays/Collatz Conjecture|Collatz Conjecture]]
[[Essays/Collatz Conjecture|Hailstone Sequence]]
[[Essays/Collatz Conjecture|Syracuse Problem]]
[[Essays/Combination Index|Combination Index]]
[[Essays/Combination Sums|Combination Sums]]
[[Essays/Combinations|Combinations]]
[[Essays/Complete Tensor#cross product|Cross Product]]
[[Essays/Complete Tensor|Complete Tensor]]
[[Essays/Complex Operations|Complex Operations]]
[[Essays/Compositions|Compositions]]
[[Essays/Continued Fractions|Continued Fractions]]
[[Essays/Convex Hull|Convex Hull]]
[[Essays/Covert Representation|Covert Representation]]
[[Essays/DataStructures|Data Structures]]
[[Essays/Dendrite|Dendrite]]
[[Essays/Determinant|Determinant]]
[[Essays/DiceGame|DiceGame]]
[[Essays/Distributed Apply|Distributed Apply]]
[[Essays/Divisors|Divisors]]
[[Essays/Do While|Do While]]
[[Essays/Double Factorial|Double Factorial]]
[[Essays/Egyptian Fraction|Egyptian Fraction]]
[[Essays/Eigenvalues|Eigenvalues]]
[[Essays/English Grammar|English Grammar]]
[[Essays/Euclidean Algorithm|Euclidean Algorithm]]
[[Essays/Euler's Identity|Euler's Formula]]
[[Essays/Euler's Identity|Euler's Identity]]
[[Essays/Extended H|Binary Tree]]
[[Essays/Extended H|Extended H]]
[[Essays/Extended Precision Functions|Extended Precision Functions]]
[[Essays/Extremal Arguments|Extremal Arguments]]
[[Essays/FFT|Convolution]]
[[Essays/FFT|FFT]]
[[Essays/FFT|Polynomial Multiplication]]
[[Essays/Factorings|Factorings]]
[[Essays/Fibonacci Index|Fibonacci Index]]
[[Essays/Fibonacci Sequence|Fibonacci Sequence]]
[[Essays/Fibonacci Sums|Fibonacci Sums]]
[[Essays/Fibonacci Sums|Zeckendorf Representation]]
[[Essays/Floyd|Floyd]]
[[Essays/From APL to J|From APL to J]]
[[Essays/Game of Life|Game of Life]]
[[Essays/Gauss-Bonnet|Gauss-Bonnet Theorem]]
[[Essays/Gaussian Integers|Gaussian Integers]]
[[Essays/Generalized Monty Hall|Generalized Monty Hall]]
[[Essays/Goldbach Conjecture|Goldbach Conjecture]]
[[Essays/Gray Code|Gray Code]]
[[Essays/Hamming Number|5-Smooth Number]]
[[Essays/Hamming Number|Hamming Number]]
[[Essays/Hamming Number|Regular Number]]
[[Essays/Hidden Line Removal|Hidden Line Removal]]
[[Essays/Hilbert Matrix|Hilbert Matrix]]
[[Essays/Histogram|Histogram]]
[[Essays/Hook Conjunction?|Hook Conjunction?]]
[[Essays/Hook Rank|Hook Rank]]
[[Essays/Huffman Coding|Huffman Coding]]
[[Essays/IEEE Floating-Point Numbers|IEEE Floating-Point Numbers]]
[[Essays/Identity Matrix|Identity Matrix]]
[[Essays/In-Place Operations|In-Place Operations]]
[[Essays/Incunabulum|Incunabulum]]
[[Essays/Indeterminate|Indeterminate]]
[[Essays/Indeterminate|NaN]]
[[Essays/Index in Nub|Index in Nub]]
[[Essays/Inner Products|Inner Products]]
[[Essays/InsanityCube|Insanity Cube]]
[[Essays/Insert|Insert]]
[[Essays/IntRoot|Integer Root]]
[[Essays/IntegerKnapsack|Integer Knapsack Problem]]
[[Essays/Inverse Permutation|Inverse Permutation]]
[[Essays/Inverse Permutation|Permutation Inverse]]
[[Essays/Inverted Table|Inverted Table]]
[[Essays/Isometric Surfaces|Isometric Surfaces]]
[[Essays/J Tweets|J Tweets]]
[[Essays/JAspects|Aspects of J]]
[[Essays/JKT Benchmark|JKT Benchmark]]
[[Essays/JforC Front Cover|J for C Programmers Front Cover]]
[[Essays/Josephus Problem|Josephus Problem]]
[[Essays/Kadane Algorithm; J Tutorial|Kadane Algorithm; J Tutorial]]
[[Essays/Kakuro|Cross Sums]]
[[Essays/Kakuro|Kakuro カックロ]]
[[Essays/KenKen|KenKen 賢賢]]
[[Essays/Key|Key]]
[[Essays/Knight's Tour#Warnsdorff|Warnsdorff's Algorithm]]
[[Essays/Knight's Tour|Knight's Tour]]
[[Essays/Kronecker Product|Kronecker Product]]
[[Essays/Krypto|Krypto]]
[[Essays/LU Decomposition|LU Decomposition]]
[[Essays/Landau's Function|Landau's Function]]
[[Essays/Large Exponent Real Arithmetic|Large Exponent Real Arithmetic]]
[[Essays/Levenshtein Distance|Levenshtein Distance]]
[[Essays/Linear Congruential Generator|APL RNG]]
[[Essays/Linear Congruential Generator|Linear Congruential Generator]]
[[Essays/Linear Recurrences|Linear Recurrences]]
[[Essays/Linear Recurrences|Matrix Powers]]
[[Essays/Linear Regression|Linear Regression]]
[[Essays/Longest Common Subsequence|Longest Common Subsequence]]
[[Essays/Longest Increasing Subsequence|Longest Increasing Subsequence]]
[[Essays/Lorenz Attractor|Lorenz Attractor]]
[[Essays/MSLDE|MSLDE]]
[[Essays/Matrix Inverse|Matrix Inverse]]
[[Essays/Memo|Memo]]
[[Essays/Mertens Function|Mertens Function]]
[[Essays/Middle Names|Middle Names]]
[[Essays/Minimal Spanning Tree|Kruskal's Algorithm]]
[[Essays/Minimal Spanning Tree|Minimal Spanning Tree]]
[[Essays/Minors|Minors]]
[[Essays/Mobius Function|Möbius Function]]
[[Essays/MultipleOr|MultipleOr]]
[[Essays/Multiplicative Order|Multiplicative Order]]
[[Essays/N Queens Problem|8 Queens Problem]]
[[Essays/N Queens Problem|N Queens Problem]]
[[Essays/NAF|Non-Adjacent Form (NAF)]]
[[Essays/Name Resolution|Name Resolution]]
[[Essays/NearerLargerNeighbor|Nearer Larger Neighbor]]
[[Essays/Negative Rank|Negative Rank]]
[[Essays/Newton's Method|Newton's Method]]
[[Essays/Next Binary String|Next Binary String]]
[[Essays/Non-Overlapping Substrings|Non-Overlapping Substrings]]
[[Essays/Nonincreasing Odometer|Nonincreasing Odometer]]
[[Essays/Normal CDF|Error Function]]
[[Essays/Normal CDF|Normal CDF]]
[[Essays/Notation as a Tool of Thought|Notation as a Tool of Thought]]
[[Essays/Number in Words|Number in Words]]
[[Essays/Nurikabe|Nurikabe ぬりかべ]]
[[Essays/Odometer|Odometer]]
[[Essays/Order Statistics|Order Statistics]]
[[Essays/Parentheses Matching|Parentheses Matching]]
[[Essays/Partitions|Partitions]]
[[Essays/Pascal's Ladder|Pascal's Ladder]]
[[Essays/Pascal's Triangle|Pascal's Triangle]]
[[Essays/Permutation Index|Permutation Index]]
[[Essays/Permutations|Permutations]]
[[Essays/PianoTuning|Piano Tuning]]
[[Essays/PianoTuning|Tuning a Piano]]
[[Essays/Polyminoes|Polyminoes]]
[[Essays/PolynomialsIntersection|Polynomials Intersection]]
[[Essays/Power Set|Power Set]]
[[Essays/Primality Tests#Lucas-Lehmer|(2^67)-1]]
[[Essays/Primality Tests#Miller-Rabin|Miller-Rabin Primality Test]]
[[Essays/Primality Tests|Primality Tests]]
[[Essays/Prime APVs|Prime APVs]]
[[Essays/Primes Less Than n|Primes Less Than n]]
[[Essays/Progressive Index-Of|Progressive Index-Of]]
[[Essays/PropagatingMinimum|Propagating Minimum]]
[[Essays/QR Decomposition|QR Decomposition]]
[[Essays/Queens and Knights|Queens and Knights]]
[[Essays/Quicksort|Quicksort]]
[[Essays/RNG|RNG]]
[[Essays/RSA Challenge|RSA Challenge]]
[[Essays/RSA Challenge|Squeamish Ossifrage]]
[[Essays/Rank Table|Rank Table]]
[[Essays/Rank|Rank]]
[[Essays/Recursive Descent Parser|Recursive Descent Parser]]
[[Essays/Reflexive|Reflexive]]
[[Essays/Regex Lexer|Regex Lexer]]
[[Essays/Repeated Squaring|Repeated Squaring]]
[[Essays/Roll on BIGINTs|Roll on BIGINTs]]
[[Essays/Roman Numerals|Roman Numerals]]
[[Essays/Rössler Attractor|Rössler Attractor]]
[[Essays/Scalars|Atoms]]
[[Essays/Scalars|Is a Scalar an Array?]]
[[Essays/Scalars|Scalars]]
[[Essays/Schwarzschild|Schwarzschild]]
[[Essays/Scope|Scope]]
[[Essays/Self-Downgrading Permutations|Self-Downgrading Permutations]]
[[Essays/Self-Upgrading Permutations|Self-Upgrading Permutations]]
[[Essays/Self|Self-Valued Expression]]
[[Essays/Semiprimes|Semiprimes]]
[[Essays/Set Game|Set Game]]
[[Essays/Set Partitions|Set Partitions]]
[[Essays/Short Circuit Boolean|Short Circuit Boolean]]
[[Essays/Sine|Sine]]
[[Essays/Sort Times|Sort Times]]
[[Essays/Sorting versus Grading|Grading versus Sorting]]
[[Essays/Sorting versus Grading|Sorting versus Grading]]
[[Essays/SpaceTime2D|SpaceTime2D]]
[[Essays/Square Root|Square Root]]
[[Essays/Stirling Numbers|Stirling Numbers]]
[[Essays/Stirling's Approximation|Stirling's Approximation]]
[[Essays/Substring Replacement|Substring Replacement]]
[[Essays/Sudoku|Sudoku 數独]]
[[Essays/Sum of a Bit Array|Popcount]]
[[Essays/Sum of a Bit Array|Sum of a Bit Array]]
[[Essays/Symbol-Minded|Symbol-Minded]]
[[Essays/Symmetric Array|Symmetric Array]]
[[Essays/Symmetries of the Square|Symmetries of the Square]]
[[Essays/Tacit Expressions|Tacit Expressions]]
[[Essays/Teaching J Syntax|Teaching J Syntax]]
[[Essays/Tensor Experiments|Tensor Experiments]]
[[Essays/Text Formatting|Text Formatting]]
[[Essays/The Art of Shaving|The Art of Shaving]]
[[Essays/The Ball Clock Problem|The Ball Clock Problem]]
[[Essays/The Essentials of J|The Essentials of J]]
[[Essays/The Monty Hall Problem|The Monty Hall Problem]]
[[Essays/The TAO of J|The TAO of J]]
[[Essays/Timestamp Extension|Timestamp Extension]]
[[Essays/Tolerant Comparison|Tolerant Comparison]]
[[Essays/Torsion Tensor|Torsion Tensor]]
[[Essays/Totient Function|Totient Function]]
[[Essays/Tower of Hanoi|Tower of Hanoi]]
[[Essays/Trains|Trains]]
[[Essays/Transpose|Transpose]]
[[Essays/Tree Display|Tree Display]]
[[Essays/Tree Sum|Tree Sum]]
[[Essays/Triangular Data|Triangular Data]]
[[Essays/Triangular Matrix Inverse|Triangular Matrix Inverse]]
[[Essays/Un-puzzling_expressions|Un-puzzling expressions]]
[[Essays/Under|Duality]]
[[Essays/Under|Under]]
[[Essays/Unforgettable Numbers|1729]]
[[Essays/Unforgettable Numbers|Taxicab Number]]
[[Essays/Unforgettable Numbers|Unforgettable Numbers]]
[[Essays/Unicode Histogram|Unicode Histogram]]
[[Essays/UniqueFactors|Unique Factors]]
[[Essays/Vier Neun|Vier Neun]]
[[Essays/Word Formation on Lines|Word Formation on Lines]]
[[Essays/moo|Mastermind]]
[[Essays/moo|moo]]
[[Essays/t-Distribution CDF|t-Distribution CDF]]
[[Puzzles/Sum of a Vector|Sum of a Vector]]
[[Puzzles/Unit Fraction Sum|Unit Fraction Sum]]
[[Stories/RichardBrown|Simplex Method]]
[http://www.jsoftware.com/papers/APLDesign.htm#chronology APL Chronology]