Algebra articles, problems, and puzzles.

What Is Arithmetic?
What Is Algebra?
Arithmetic: Articles and Problems

  1. 17 rooks on an 8×8 chessboard
  2. 1962 IMO, Problem 2: an inequality with a twist
  3. 1=2 via Continued Fractions
  4. 3-Colors Tower of Hanoi [Java]
  5. 3 glass puzzle [JavaScript]
  6. 3-Term Arithmetic Progression
  7. 4x4 coloring problem
  8. A 49th Degree Challenge
  9. A Clique of Acquaintances
  10. A Diophantine Equation - Problem from 2000 Belarus MO
  11. A Diophantine Equation with Square Roots - Problem from the 2008 British MO
  12. A DIY Proof of the Irrationality of sqrt(2)
  13. A Formula for sin(3x)
  14. A Functional Equation from 1968 IMO
  15. A Functional Equation from the 2012 IMO
  16. A Low Bound for 1/2 * 3/4 * 5/6 * ... * (2n-1)/2n
  17. A Mathematical Rabbit out of an Algebraic Hat
  18. A Middle School Problem from a Moscow Olympiad
  19. A New Proof That the Rationals Are Countable
  20. A Not Symmetric Inequality [JavaScript]
  21. A One-Line Proof of the Infinitude of Primes
  22. A Problem for the 2015 New Year's Eve
  23. A Proof by Game for a Sum of a Convergent Series
  24. A Property of Number 4
  25. A Property of the fusc() Function
  26. A Representation of Rational Numbers
  27. A Quartic Equation
  28. A Series with k-Permutations
  29. A simple integral
  30. A Sum of a Double Series
  31. A Telescoping Series
  32. A System of Equations Begging for Generalization
  33. About numbers
  34. Absolute Value
  35. Absolute Value and 1998 integers
  36. Achieve the Equilibrium [Flash]
  37. Addition
  38. Addition and Subtraction Formulas for Sine and Cosine III
  39. Advancing a Millenium Problem [JavaScript]
  40. Affirmative Action Problem [Java]
  41. Algebraic Structure of Complex Numbers
  42. All Integers Are Equal to 1
  43. All Integers Are Even
  44. All Powers of 2 Are Equal to 1
  45. All Powers of x are Constant
  46. Almost every integer has the digit 3 in it
  47. Almost Integers - Gaussian Integers
  48. Amazing Mix of Triangular Numbers and Golden Ratio
  49. Ambassadors at a Round Table [Java]
  50. An Algebraic Lemma with Geometric Consequences [JavaScript]
  51. An Application of Quadratic Formula
  52. An Equation in Determinants
  53. An Equation in Matrices [JavaScript]
  54. An Equation in Radicals
  55. An Equation in Reciprocals
  56. An Equation in Squares [JavaScript]
  57. An Equation Involving Four Collinear Points
  58. An Identity between the Roots of a Cubic Polynomial - Problem from the 2007 Irish MO
  59. An Identity From the 2010 China Mathematical Competition
  60. An Identity Involving the Integer Part - Problem from the 1981 Canadian MO
  61. An Increasing Sequence from 2014 IMO
  62. An Inequality by Uncommon Induction
  63. An Inequality for Grade 8
  64. An inequality from 1971 Canadian Mathematical Olympiad
  65. An Inequality from Tibet
  66. An Inequality in Determinants
  67. An Inequality with an Infinite Series
  68. An Inequality with Constraint
  69. An Inequality with Constraints II
  70. An Inequality with Nested Radicals
  71. An Inequality via Young's Theorem
  72. An Inequality with Permutations, I [JavaScript]
  73. An Inequality with Permutations, II [JavaScript]
  74. An Infinite Product from Recursion
  75. An Unusual Quadratic Equation
  76. Another Face and Proof of a Trigonometric Identity
  77. Another simple integral
  78. Any Integer with Three 2s
  79. Application of Cauchy-Schwarz Inequality
  80. Approximation Of Roots
  81. Area of a Circle by Rabbi Abraham bar Hiyya Hanasi [Java]
  82. Areas on the Graphs of Power Functions
  83. Arithmetic-Geometric Means Inequality
  84. Assigning Numbers to Points in the Plane
  85. Associativity from 1977 IMO
  86. Averages, Arithmetic and Harmonic Means [Java]
  87. Averages in a sequence
  88. Ballot Lemma [Java]
  89. Banzhaf Power Index Calculator [Java]
  90. Barcode Encoding
  91. Barcode Magic [Java]
  92. Base Converter [JavaScript]
  93. Bayes' Theorem
  94. Beatty Sequences
  95. Beauty and the Beast - in Trigonometry
  96. Bertrand's Postulate
  97. Bicubal Domino [JavaScript]
  98. Bilateral Diagrams [Java]
  99. Binet's Formula via Generating Functions
  100. Binet's Formula with Cosines
  101. Binomial Distribution [Java]
  102. Binomial Theorem
  103. Bisector of an imaginary angle may be real
  104. Brahmagupta-Fibonacci Identity [JavaScript]
  105. Byzantine Basketball
  106. Calculation of the Digits of pi by the Spigot Algorithm [Java]
  107. Calculus Proof of the Pythagorean Theorem
  108. Candido's Identity
  109. Cantor-Bernstein-Schroeder theorem
  110. Cantor's First Uncountability Proof
  111. Cardinal Numbers
  112. Cartesian Coordinate System [Java]
  113. Cassini's Identity
  114. Catalan Numbers in Pascal's Triangle
  115. Cavalieri's Principle [Java]
  116. Central and Inscribed Angles in Complex Numbers
  117. Chebyshev Inequality
  118. Chinese Remainder Theorem
  119. Clifford Algebras
  120. Clubs in a Vector Space
  121. Collatz Conjecture [Java]
  122. Coloring a Graph [Java]
  123. Combinatorial Proofs
  124. Combo Playground: Calculating the Number of Paths on a Square Grid
  125. Committee Chairs
  126. Comparing complex numbers
  127. Completing a Square and Quadratic Formula
  128. Complex Numbers: A Dynamic Tool [Java]
  129. Complex number to a complex power may be real
  130. Constrained Intermarriages [JavaScript]
  131. Constructible Numbers
  132. Construction of Pascal's Triangle [Java]
  133. Constructive Existence of the de Bruijn Cycles
  134. Continued fractions
  135. cos/sin inequality
  136. cos(π/7)-cos(2π/7)+cos(3π/7) = 1/2
  137. Countability of Rational Numbers
  138. Countability Principle
  139. Counting Chips On a Circle [Java]
  140. Counting Fat Sets
  141. Counting Squares in a Square [Java]
  142. Counting Triangles [Java]
  143. Counting Triangles II [Java]
  144. Covering a Chessboard with a Hole with L-Trominoes [Java]
  145. Covering A Chessboard With Domino
  146. Cubes in Pascal's Triangle
  147. Cubic Equation for the Sides of a Triangle
  148. Cubic Formula [JavaScript]
  149. Cubics and Bézout's Theorem
  150. Curious Identities In Pythagorean Triangles
  151. Curious Identities Involving Integer Products
  152. Deceptive Appearances
  153. Decimal Sums of Successive Integers
  154. Derivatives without Limits
  155. Descartes' Rule of Signs
  156. Determinant and Divisibility
  157. Diagonal Argument
  158. Diophantine Equations
  159. Distance between the Orthocenter and Circumcenter
  160. Distance Between Strings [Java]
  161. Distance From a Point to a Straight Line [Java]
  162. Distinct Multisets with the Same Pairwise Sum
  163. Divergence of {cos(n)} [JavaScript]
  164. Dividing Loot Fairly
  165. Divisibility and Modulo Arithmetic at IMO 2007
  166. Divisibility by Powers of 2
  167. Dollars in Pockets
  168. Dot Patterns and Sierpinski Gasket [Java]
  169. Dots and fractions [Java]
  170. Double and Half Angle Formulas
  171. Ducci Sequences [Java]
  172. e in the Pascal Triangle
  173. EAN-13 Encoding [Java]
  174. Eigenvectors by Inspection
  175. Elves and Gnomes [JavaScript]
  176. Entry 1.414... in Ramanujan's Notebooks
  177. Equation in Permutations
  178. Equations of the Staight Line [Java]
  179. Equivalence Relations
  180. Escape of the Clones
  181. Euclid's Algorithm
  182. Euclid's Algorithm: An Interactive Illustration [Java]
  183. Euler Cycles in Digraph
  184. Euler's formula for e
  185. Euler's Function and Congruence Theorem
  186. Evolution of Algebraic Symbolism
  187. Existence of the de Bruijn Cycles via Graphs
  188. Extension of Euclid's Algorithm
  189. Factorial Products
  190. Factorials and division
  191. Fair Division: Method of Sealed Bids II [Java]
  192. Falsity implies anything
  193. Farey Series
  194. Fermat's Like Equation
  195. Fermat's Little Theorem
  196. Fermat's Only Published Proof
  197. Fibonacci Idendtities with Matrices
  198. Fibonacci's Quickies
  199. Fibonacci Tilings
  200. Filling a Grid with Good Neighbors [Java]
  201. Filling an Array with 0s and 1s - and Counting [Java]
  202. Filling Pool with Fluids
  203. Finding Hamilton Paths and Circuits [Java]
  204. Finite Sums of Terms 2^(n-i) i²
  205. First Geometric Interpretation of Complex Numbers [Java]
  206. Five Methods of Apportionment [Java]
  207. Five Lattice Points [Java]
  208. Five Squares in Complex Numbers [GeoGebra]
  209. Fleury's Algorithm and Euler's Paths and Cycles [Java]
  210. Flipping Items Simultaneously [Java]
  211. Flipping Items Simultaneously II [Java]
  212. Flipping Items Simultaneously III [Java]
  213. Flipping pancakes [Java]
  214. Floor Function
  215. Formal Systems - an Example
  216. Formula for Primes
  217. Four Hinged Squares: using complex numbers
  218. Four Numbers, Six Differences, GCD of the Products
  219. Four Pegs That Form a Square
  220. Four Voting Methods [Java]
  221. Function
  222. Function in the Plane That Vanishes
  223. Fundamental Theorem of Algebra
  224. Futurama Theorem and Puzzle [Java]
  225. Gasoline Stations on a Circular Trek
  226. Gauss and Euler Integrals
  227. Gauss' Lemma
  228. Gauss' theorem on constructibility of regular polygons
  229. GCD of Fibonacci Numbers
  230. GCD(M, N) × LCM(M, N) = M × N [Java]
  231. Generalization That Solves the Problem
  232. Generating Functions
  233. Geometric Construction of Roots of Quadratic Equation [Java]
  234. Gödel's Incompleteness Theorem
  235. Golden Ratio is Irrational
  236. Graph and Roots of a Third Degree Polynomial [Java]
  237. Graph and Roots of Quadratic Polynomial [Java]
  238. Graph of a Polynomial [Java]
  239. Graph of a Polynomial Defined by Its Roots [Java]
  240. Graphing Equations Is Useful
  241. Graphing Equations Is Useful, II [Java]
  242. Graphing Equations Is Useful, III
  243. Graphing Equations Is Useful, IV
  244. Group multiplication of permutations [Java]
  245. Getting a Scout out of Desert [Java]
  246. Getting Your Rightful Share Back [JavaScript]
  247. 1/2 = 1
  248. Harmonic Serires And Its Parts
  249. Hlawka's Inequality
  250. Horner's Method [Java]
  251. How to Ask an Embarrassing Question
  252. How to define a permutation? [Java]
  253. How to write an equation of the union of two sets
  254. However You Solve It ... A Wonderful Equation
  255. Hyperintegers and Hyperreal Numbers
  256. Identities with Triangular Numbers
  257. Implementation of Base Conversion
  258. Importance of the Absolute Value
  259. Improving on an Escalator [JavaScript]
  260. In Calculus too 1 = 0
  261. Inclusion-Exclusion Principle
  262. Inclusion-Exclusion Principle: an Example
  263. Inequalities and Quadratic Forms
  264. Inequality 1/2·3/4·5/6· ... ·99/100 < 1/10
  265. Inequality (1 + 1-3)(1 + 2-3)(1 + 2-3)...(1 + n-3) < 3
  266. Inequality 1 + 2-2 + 3-2 + 4-2 + ... + n-2 < 2.
  267. Inequality for Integer Sequences
  268. Inequality for Integer Sequences II
  269. Inequality from Math Magazine 2009
  270. Inequality from Math Phenomenon
  271. Inequality in Acute Triangle
  272. Inequality of a Series of Square Roots
  273. Inequality with Logarithms
  274. Infinite Discent for x4 + y4 = z4
  275. Infinitesimals. Non-standard Analysis
  276. Infinitude of Primes
  277. Infinity As a Limit
  278. Inflection Points of Fourth Degree Polynomials [Java]
  279. An innovative recurrence
  280. Integer Iterations on a Circle [Java]
  281. Candy Game (Change Discharged) [Java]
  282. Integer Iterations on a Circle III [Java]
  283. Integer roots of integers are irrational
  284. Integer Triangle That Sums to Cube
  285. Integers and Rectangles [Java]
  286. Integers and Rectangles: a Proof by Induction [Java]
  287. Integers and Rectangles: Two Simple Proofs [Java]
  288. Integers With Digits 1 and 2 and Residues Modulo Powers of 2
  289. Integral in Normal Distribution
  290. Interest Calculations [Java]
  291. Irrationality of k-th roots
  292. Irrationality of sqrt(2) via a Difference Equation
  293. Is GLOBALHELLFRY a Prime? [JavaScript]
  294. Is the Triangle Inequality Necessary?
  295. Is There a Limit?
  296. ISBN Encoding [Java]
  297. Irrational number to an irrational power may be rational
  298. Is 0.999... = 1?
  299. It's All About Powers of 10
  300. Iterations on Monotone Functions
  301. Joachimsthal's Notations
  302. Jumping Isn't Everything [Java]
  303. Kaprekar's Iterations and Numbers [Java]
  304. Kulikowski's Theorem
  305. Lagrange's identity, Proof
  306. Lagrange interpolation
  307. Lamé's Theorem - First Application of Fibonacci Numbers
  308. Langford and Skolem Sequences [Java]
  309. Latin Squares [Java]
  310. Leech Trees and Taylor's Criterion
  311. Legendre's Formula
  312. Legendre's Theorem - The Prime Factorization of Factorials
  313. Leibniz and Pascal Triangles [Java]
  314. Leo Giugiuc's Trigonometric Lemma
  315. Less than, Equal to, Greater Than Symbols
  316. Lewis Carroll's Game of Logic [Java]
  317. Light Bulbs in a Circle [Java]
  318. Lights Out [Java]
  319. Linear Function with Coefficients in Arithmetic Progression [GeoGebra]
  320. Linear functions
  321. Linear Programming
  322. Linear System with Parameter
  323. Listing All Combinations [Java]
  324. Listing all permutations [Java]
  325. Listing All Permutations: Johnson-Trotter Method [Java]
  326. Logistic Model applet [Java]
  327. Long Runs of Composite Numbers
  328. Long Up Short Down
  329. Looking your best
  330. Loop or Halt [Java]
  331. Lucas' Theorem
  332. Lucas' Theorem II
  333. Lucky Numbers [Java]
  334. Marriage Theorem
  335. Marriage Problem, simulation [Java]
  336. Math Lotto
  337. Mathematical Induction
  338. Mathematical Proof
  339. Mathematicians Doze Off
  340. Matrix Groups
  341. Maximum Volume of a Cut Off Box [Java]
  342. Means [Java]
  343. Mediant Fractions
  344. Method of Markers II [Java]
  345. Minesweeper Theorem
  346. Mini Lights Out [Java]
  347. Minimax Principle [Java]
  348. Minimax Theorem [Java]
  349. Minumum Spanning Trees and Kruskal's Algorithm [Java]
  350. Minus One But What a Difference
  351. Modular Arithmetic [Java]
  352. Monotone Convergence Theorem
  353. Monotone Number Sequences [Java]
  354. Multiplication
  355. Multiplication of Points on a Circle [JavaScript, GeoGebra]
  356. Multiplication of Points on an Ellipse [JavaScript, GeoGebra]
  357. Napoleon's Relatives [Java]
  358. Negative on the left, positive on the right: how come?
  359. Nested Radicals
  360. Nested Subsets
  361. New Proof of Euclid's Theorem
  362. Newton's Method [Java]
  363. Newton's and Maclaurin's Inequalities [JavaScript]
  364. Nine Squares [Java]
  365. No Flipping without End [Java]
  366. Number 8 Is Interesting
  367. Number Comparison - from the 1969 Canadian MO
  368. Number sequences and Pigeonhole [Java]
  369. Number System With Base 36
  370. On Dedekind Cuts
  371. On the Games of Hex and Y
  372. On the Intersection of kx and |sin(x)| [JavaScript]
  373. On the Intersection of 1+x and e^x and Trigonometric Consequences [JavaScript]
  374. One Dimensional Ants
  375. One Trigonometric Formula and Its Consequences
  376. Order. Well-ordered sets.
  377. Order and Chaos in Multiple Pendulums
  378. Ordinal Numbers
  379. Outline Mathematics
  380. p-adic Expansions
  381. p-adic Numbers
  382. Parabola and Abutting Equilateral Triangles
  383. Parabolic Sieve of Prime Numbers
  384. Parity counting [Java]
  385. Parrondo Paradox Via Simpson Paradox [Java]
  386. Partial But General Case Of Fermat's Last Theorem
  387. Party Acquaintances [Java]
  388. Patterns in Pascal's Triangle
  389. Peano axioms
  390. Pennies in Boxes [Java]
  391. Percent
  392. Permutations
  393. Perrin Sequence
  394. Pi in Pascal's Triangle
  395. Pi in Pascal's Triangle via Triangular Numbers
  396. pi^e vs e^pi [JavaScript]
  397. Pigeonhole Principle
  398. Pinocchio as Epimenides
  399. Place Value [Java]
  400. Presence of the Antipodes on a Circle
  401. Prime Sums in Pairs
  402. Probability of Divisibility
  403. Problem 1 from the IMO 2009
  404. Problem A1, 69th Putnam Competition
  405. Problem A2, 69th Putnam Competition
  406. Problem of Divisibility by 5n
  407. Product of Diagonals in Regular N-gon
  408. Product Of Four Consecutive Integers
  409. Product of Simple Fractions [Java]
  410. Product of permutations [Java]
  411. Proizvolov's Identity [Java]
  412. Proofs Without Words [Java]
  413. Property of an
  414. Property of Quadratic Polynomials
  415. Property of the Powers of 2 [Java]
  416. Puzzlist vs. Mathematician: A Practical Arithmetic Problem
  417. Pythagorean Triples [Java]
  418. Quasigroups and block designs from triangular grid [Java]
  419. Rabbits Reproduce; Integers Don't
  420. Ramsey's Number R(3, 3, 3)
  421. Ramsey Number R(4, 3)
  422. Ramsey Number R(5, 3)
  423. Ramsey Number R(4, 4)
  424. Ramsey's Theorem
  425. Random Walks [Java]
  426. Rascal Triangle
  427. Rational Solutions to xy = yx
  428. Rearrangement Inequality [JavaScript]
  429. Recombining Permutations [Java]
  430. Rectangle on a Chessboard [Java]
  431. Rectilinear Paradox
  432. Reflection Lemma [Java]
  433. Riemann Rearrangement Theorem
  434. Riemann Sphere and Möbius Transformation
  435. Riemann Sums - Function Integration [Java]
  436. Right Replacement [Java]
  437. Rolle's and Mean Value Theorems [Java]
  438. Rolle's Theorem in Action
  439. Rooks on a Chessboard
  440. Roots and Tangents [GeoGebra]
  441. Round Robin Tournament
  442. Russell's Paradox
  443. Sophie Germain's Identity
  444. Square Roots and Triangle Inequality
  445. Squares in Pascal's Triangle
  446. Squeeze Theorem
  447. Sum of Absolute Values [JavaScript]
  448. Sum of All Natural Numbers
  449. Sums of Binomial Reciprocals in Pascal's Triangle
  450. Squeeze (Sandwich, Pinching ...) Theorem (Lemma): an Example
  451. Scalar Product Optimization [JavaScript]
  452. Scheduling and Critical Path Algorithm [Java]
  453. Schur's Inequality
  454. Scrub Tile Puzzle [Java]
  455. Self-descriptive Strings [Java]
  456. Self-documenting Iterations [JavaScript]
  457. Self-reference
  458. Seven integers under 127 and their Ratios
  459. Seven Terms Periodic Sequence
  460. Shapley-Shubik Power Index [Java]
  461. Shapley-Shubik Power Index Calculator [Java]
  462. Shifting Digits and a Point of View
  463. Ship-Dock Theorem
  464. Shuttle Puzzle Practice II [Java]
  465. Sicherman Dice
  466. Sierpinski Gasket and Tower of Hanoi
  467. Sierpinski's Gasket and Dihedral Symmetry [Java]
  468. Sieve of Squares [Java]
  469. Σ2-n = Σn·2-n
  470. Signs and Sums in a Sequence [Java]
  471. Signs in a Matrix [Java]
  472. Simple But Uncommon Equation from 1968 IMO
  473. Simple Cellular Automaton [Java]
  474. Simple Graph Practice [Java]
  475. Simple Somos Sequence - a Russian Olympiad problem
  476. Simple Somos Sequence Calculator [Java]
  477. Simpson Paradox [Java]
  478. Sine And Cosine Are Continuous Functions
  479. Sine of a Sum Formula, Proof Without Words
  480. Single formula to express any integer with digits 0-9 each used just once
  481. Six Balls, Two Weighings
  482. Size of a Class: Two Viewpoints
  483. Slider Puzzles [Java]
  484. Solitaire in Two Colors [Java]
  485. Solutions of F(x)=x and F(F(x))=x [JavaScript]
  486. Solve - an Olympiad Problem - in Your Mind
  487. Solve xx3 = 3
  488. Solve cos²x + cos²2x + cos²3x = 1
  489. Solving an Equation with Inverse Functions
  490. Soriteses
  491. Sorting Algorithms
  492. Sperner's Theorem
  493. Splitting piles
  494. Square Root of 2 as a Continued Fraction
  495. Square root of 2 is irrational
  496. Star of David Theorems in Pascal Triangle
  497. Steinhaus' Problem [Java]
  498. Step into the Elliptic Realm
  499. Stern-Brocot Tree
  500. Straight Tromino on a Chessboard [Java]
  501. Structure of Hyperreal Numbers
  502. Subsets and Intersections
  503. Subtraction Game [Java]
  504. Sums of the Elements of Three Element Subsets [JavaScript]
  505. Sum of Three Squares [JavaScript]
  506. Sums and Products, a Generalization
  507. Sums, Products, and 1-1 Functions
  508. Sums of Geometric Series - Proofs Without Words [Java]
  509. Sums of Power Series
  510. Sums Of Successive Squares
  511. Sum without Adding
  512. Sums and Products [Java]
  513. Sums of powers of digits [Java]
  514. Superposition Principle
  515. Surreal Numbers
  516. Swapping Rows and Columns [Java]
  517. Sylvester's Problem
  518. Taking Games Seriously [Java]
  519. Tangential Chaos
  520. Telescoping Cubes
  521. Telescoping Squares
  522. Telescoping Sums and Series [JavaScript]
  523. The ass and the mule [Java]
  524. The Basic Rules of Counting
  525. The Local-Global Principle
  526. The Regula Falsi - Iterated
  527. The Size is in the Eyes of the Beholder
  528. Three Dimensional Cross
  529. Tool for Constructing Orthogonal Latin Squares [Java]
  530. Tower of Hanoi, the Hard Way [Java]
  531. Train on Bridge [JavaScript]
  532. Transpositions
  533. Traveling Salesman Problem [Java]
  534. Treatise on Arithmetical Triangle
  535. Triangular numbers that are also square
  536. Trilateral Diagrams [Java]
  537. Trinary Tree(s) underlying Primitive Pythagorean Triples
  538. Tromino Puzzle: Deficient Squares [Java]
  539. Twenty five boys and twenty five girls around a table.
  540. Two Circles and a Limit [Java]
  541. Two Colors in Two Rows [Java]
  542. Two Cyclic Inequalities [JavaScript]
  543. Two Men of Tibet [Java]
  544. Two Problems from a Serbian 7 Grade Math Competition
  545. Two-Parameter Solutions to Three Almost Fermat Equations
  546. Two Sequences Defined by Recurrence
  547. Uncountability of the Reals - via a Game
  548. Undefined vs Indeterminate in Mathematics
  549. (Un)fair Division by Consensus
  550. Universal Coloring [Java]
  551. Universal Product Code [Java]
  552. Unproperty of the Powers of 2
  553. USA 1975 Problem 3
  554. Vandermonde's Convolution Formula
  555. Vandermonde Determinant
  556. Venn Diagrams
  557. Viète's Formulas
  558. Voronoi Diagram [JavaSCript]
  559. Ways To Count
  560. Weierstrass Product Inequality
  561. Weierstrass Substitution
  562. What, how, and the Web [Java]
  563. What 1, 6, and 14 Have to Do with 5?
  564. What Is Algorithm?
  565. What Is Determinant?
  566. What Is Finite?
  567. What Is Infinite Descent?
  568. What Is Infinity?
  569. What Is Limit?
  570. What is so natural about "natural logarithms"?
  571. What Is Space Completion?
  572. WHEN THE COUNTING GETS TOUGH, THE TOUGH COUNT ON MATHEMATICS
  573. When Two Segments Intersect? [JavaScript]
  574. Where To Start? [Java]
  575. White and Black Balls in Urn. 1 in, 2 out. What Color Remains?
  576. Why 17?
  577. Why sin(x)/x tends to 1
  578. Wilson's Theorem
  579. Word Problems [Java]
  580. Yet Another Puzzle with Hats
  581. Zeros and Nines [Java]

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