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Mathematics Archives, Since November 1991


Table of Contents:
  1. Bairstow's Algorithm - Polynomial Roots
  2. Proof of Heron's (Hero's) formula: Triangle
  3. Solving equations with fractional exponents Newton's Method -Exponents
  4. Solving equations with fractional exponents Newton's Method -Non-linear systems
  5. What exactly is Chaos?
  6. Fractals-finite area or infinite area Fractals
  7. Space uses of CHAOS theory
  8. Weird Integrals
  9. Integral Problems
  10. Integral Solution Residues; Residue Theorem
  11. The famous 3X+1 problem Algorithms
  12. Generalizing the Gauss-Bonnet Theorem Gauss-Bonnet Theorem
  13. Probability and wildlife; Hypergeometric distribution
  14. Standard Deviation - Population vs. Sample Probability
  15. Why "m" in y=mx+b?
  16. Division of Fractions demo - reciprocals, inverses
  17. Circle graphs have my students' heads spinning!
  18. 4-D objects Hyperspace
  19. 4-D Objects Hyperspace slicing
  20. 4-D Objects
  21. Matrix Help
  22. Math/Logic Brain Teaser Logic Problem
  23. Functional Equation
  24. Psi Function, Wave Functions, Spring Frequencies
  25. Divisions between pure & applied mathematics
  26. Curl, Div and Grad Vector-valued Functions
  27. Origin of Plus/Minus
  28. Negative multiplied by negative = positive; Why?
  29. Spirals... Circles... Radius
  30. An infinite number of ancestors? Cannot be
  31. Bogus geometry problem
  32. Toothpick/match stick geometry puzzles
  33. Beam stuck in a wall and free on one end with force
  34. Missing dollar/hotel puzzle
  35. Magic square algorithm
  36. Weighing, and the 12 ball problem
  37. Uncipherable code
  38. Death of an NP Salesman
  39. Founder of algebra
  40. Galileo invents the sector
  41. Inventor of mathematics
  42. The origin of zero
  43. Inventer of exponents
  44. Archimedes and Method of Exhaustion information
  45. Math and philosophy
  46. Graphical analysis software
  47. Computer programs for young math student
  48. Necessity for multiplication
  49. Purpose of learning algebra
  50. Confusion of algebra
  51. Mathematics without numbers
  52. Algebra: the difficult
  53. Algebra applications
  54. Geometry applications
  55. Study of mathematics in the age of calculators
  56. Calculators on the job
  57. Applications of mathematics in research
  58. Motivating students in mathematics
  59. Mathematics field trips
  60. Uses of linear programming
  61. Importance of logarithms
  62. Use of imaginary numbers
  63. Contest math trigonometry problems
  64. Infinite dimensional space to represent primes
  65. Complex primes
  66. Mersenne primes
  67. Simple sequence and prime numbers
  68. Zero: prime or composite
  69. Fast and efficient way to generate prime numbers
  70. Largest prime number
  71. Relatively prime numbers
  72. Collections are not necessarily a set
  73. Roman Numerals and zero
  74. Levels of infinity
  75. Infinity / Infinity = ?
  76. Renormalization
  77. Use of complex numbers
  78. 1 = 1 and 1 + 1 = 2s
  79. Continued fractions
  80. Need for quadratic equations
  81. Quadratic Formula and roots of a cubic
  82. m for slope
  83. Algebra graphing problem
  84. 2 = 0?
  85. Chinese remainder theorem
  86. Imaginary and complex exponents
  87. Nested roots
  88. More nested roots
  89. Algebraic expressions
  90. Point/line distance formula
  91. Inverse to 3x3 matrix
  92. 10 to the 0 power
  93. Perfect numbers
  94. Binary to decimal
  95. Finding square roots
  96. Real-imaginary plane
  97. E = M C^2s
  98. Goldbach Conjecture
  99. 0.9 (repeating) is equal to 1
  100. Fermat's Last Theorem
  101. Pi is an irrational number
  102. Algorithm numerical approximation of pi
  103. Pi and digit strings
  104. 360 degrees in a circle and origin of pis
  105. Fifteen decimal places for pi
  106. Computer determination of pi
  107. A good activity to explain pi
  108. Pentagram drawing
  109. Wavelets
  110. The four-color problem
  111. Cow and fence problem
  112. Isosceles triangle enigma
  113. Pythagorean Theorem origins
  114. Proofs for the Pythagorean Theorem
  115. Circle and square problem
  116. Circles, squares and 4-d graphs
  117. Three dimensional geometry
  118. Parallel lines meeting
  119. Measuring the circumference of an ellipse
  120. Non-Euclidean geometry references
  121. Non-Euclidean geometry ideas
  122. A square and a rectangle
  123. Dual spaces
  124. Surface area of humans
  125. Calculating the distance from the sun to earth
  126. Largest measurement
  127. Smallest measurement
  128. Packing a jar of marbles
  129. Group theory in geometry
  130. Trisecting an angle
  131. Equilateral triangles on a sphere
  132. Crystal formation and its relationship to math
  133. Mathematical value of the Great Pyramids
  134. Fractals generator for Mac
  135. Fractals and non-integer dimensions
  136. Chaos theory
  137. Lyapunov and chaos theory
  138. Mandelbrot Set explanations
  139. Area of Mandelbrot Set
  140. Quaternions
  141. Othogonality meets Quaternions
  142. Chaotic Motion and the Lorenzian water wheel
  143. Chaos theory and patterns
  144. Applications of chaos theory
  145. Determination of statistical significance
  146. Margin of error
  147. Sorting algorithm - 5 items, 7 comparisons
  148. Evariste Galois . . . group theory in elementary terms
  149. Koenigsberg Bridge problem, and a problem of roots
  150. Simple combination problem, probability problem
  151. Lock picking
  152. Probability on poker hands
  153. Probability of gender in offspring
  154. Ordered groups
  155. Recommendation for Differential Equ. and Linear Alg. books
  156. The function "e"
  157. Explanation of limits
  158. Calculus of variations
  159. Iterated analytic function problem
  160. Intuitive reason for an integral that does not exist
  161. Non-elementary integrals
  162. Spherical coordinates in integrals
  163. Time series analysis
  164. Monotonic function
  165. Vector spaces and groups
  166. Discontinuous function example
  167. Satellites and applied calculus
  168. Standard DOS Algebra
  169. Using algebra
  170. Archimedes and Method of Exhaustion Information
  171. Chaos Theory and patterns
  172. Largest possible Roman Numeral number
  173. Division by zero
  174. Mandalbrot set for calculator
  175. Recipricol of infinity
  176. Most difficult math problem you have encountered
  177. Greek discovery of pi
  178. Help understanding/studying geometry
  179. Nano- and micro-
  180. Inflection point
  181. Integral needed for x^(-e^2)
  182. Calculating Length of Spiral
  183. Sampling problem
  184. Method for determining the numbers of a ratio I
  185. Ten to the eighth power
  186. Examples of Infinity
  187. Largest prime number
  188. Square root of 99
  189. Formula for figuring out time
  190. Irrational number locations on the number line
  191. Fourth dimension and virtual reality
  192. Three square napkins and a square table problem
  193. Fractals and mathematics applied to nature
  194. Sizes of "infinite sets"
  195. Finding the vertex of a parabola with given points
  196. Physical examples of periodic phenomena
  197. The number zero
  198. Ordered pairs versus coordinates
  199. Method for determining the numbers of a ratio II
  200. Natural Logarithms
  201. Math project ideas
  202. Units of slope
  203. Distributions
  204. Die
  205. Statistically Significant Math
  206. Millions and Billions
  207. Parallel Walking
  208. Combination Lock Possibilities
  209. Square Roots
  210. Sinusoidal Curve
  211. Log Purposes
  212. Short Cut Math
  213. Number Nomenclature
  214. CRC Standard Math Tables
  215. Negative Multiplication
  216. Integral Solution
  217. Euclidian vs Non-Euclidian
  218. Statistical Significance
  219. What is Statistically Significant?
  220. Statistical Testing
  221. Fourier Analysis
  222. Roman Numerals
  223. Calculating Percent
  224. Vectors Space
  225. Dice Math
  226. Cylinder and Gravity
  227. Napier's Bones
  228. Math Connections
  229. Social Security Numbers Possibilities [with follow-up]
  230. Imaginary Number Usage
  231. Solving the unsolvable Problem
  232. Natural Logarithms Calculus
  233. Unsolvable math Problems
  234. Calculating Load Factors
  235. Calculating Orbits
  236. Solving the Impossible
  237. MCMDLXIV
  238. Egg Estimation
  239. Percent Change
  240. L'Hopital's Rule
  241. Dive Calculation
  242. Circle and Sphere Equation
  243. Point and Line Equation
  244. Vertex
  245. Timing Pitches
  246. Logs
  247. Helix Measurement
  248. Undefined and Zero
  249. Recipricals and Division
  250. Matrix Math
  251. Statistical Analysis
  252. Googolplex
  253. Binary Division
  254. L'HOPITAL RULE
  255. Zero
  256. Larger? i or 2i
  257. Vinculum
  258. Coefficient of Friction
  259. Calculating Logs
  260. Phone Number Numbers
  261. Motivating Math Students
  262. Imaginary Numbers
  263. Solution and Equations
  264. Compound Interest
  265. Probably of Numbers
  266. Algebra Question
  267. Casting Shadows
  268. Non-constant Function
  269. Multiplication and Addition
  270. Mathematics Predicting the Future
  271. Continuous Numbers
  272. 95% Confidence
  273. Intersecting Spheres
  274. Egg Formula
  275. Probability and Recipricals
  276. Solving Inequalities
  277. Infinite Cuts
  278. Name This Function
  279. Algebra Quandry
  280. Inflection and Gradient
  281. Circle into an Ellipse
  282. Natural Logs
  283. Circles
  284. Math: Invented or Discovered
  285. Set Theory
  286. Irrational Numbers Proof
  287. Integral Solution
  288. Squares on Spheres
  289. Number "i"
  290. Sine, Cosine, and Continuous Fractions
  291. Football Shape
  292. Radical i Squared
  293. Cones
  294. Beyond 4th Dimension
  295. Logarithms in Nature
  296. Permutations
  297. Lottery Numbers
  298. Application of Integrals
  299. Cube Root Algorithms
  300. Distance Formula
  301. Sine and Angle
  302. (h, k)
  303. i^i
  304. Team Rotation
  305. Prime Number Tendancy
  306. Irrational Multiples
  307. Order of Operations
  308. Newton Square Root
  309. Toothpicks and Geometry
  310. Multiplication Methods
  311. Lightning Probability
  312. Gradient of Curved Lines
  313. Logarithm Applications
  314. Googleplex
  315. e and Interest
  316. Arabic Numerals
  317. Bacterial Growth
  318. Cubic and Quartic Formulae
  319. Logarithm of i
  320. Division Mnemonic
  321. Skene's Number
  322. Gauss and Series Summation
  323. Football Surface Area
  324. ln versus nl for Natural Logarithm
  325. Proportions and Scaling
  326. Logs and Large Number Operation
  327. Circumference and Radius
  328. Non-Projectile Quadradic Examples
  329. Mandelbrot Set and Sierpinski Triangle
  330. Rounding in Significant Figures
  331. Probability and Expectation
  332. Power Series Applications
  333. Division By Zero Hypothesis
  334. Repeating Decimals
  335. Variations in a Finite Set
  336. L'Hopital's Rule Contradiction?
  337. Phone Number Permutations
  338. Pi to Millions of Digits
  339. Square Root Inventor
  340. Integral Calculus Made Easy
  341. Binomial Theorem Nomenclature
  342. Circles at Coordinates Construction
  343. Data Interpretation Sources
  344. Explaining Fractional Exponents
  345. Zero and Empty Set
  346. Circuscribed Square Formula
  347. Log of Negative Number
  348. Calculus versus The Calculus
  349. Rectangles in a Circle
  350. Factorial on Calculators
  351. Counter-ClockWise Coordinate Graphs
  352. Prime and Composite Negative Numbers
  353. Statistical vs Practical Significance
  354. Factors of Large Numbers
  355. Intersecting Cirlcles Shape
  356. Variances and Standard Deviations
  357. Describing a Geometric Construct
  358. Infinity - Infinity =
  359. Significance of Findings
  360. Algebra Use Math
  361. Determining Discontinuous Functions
  362. Infinity As A Number
  363. Zero and Even Numbers
  364. e^(i*pi) + 1 = 0 Real or Imaginary
  365. Powers of Infinity
  366. Fast Multiplication Algorithms
  367. Radical i
  368. Number of Horses and Time of Work
  369. Function Value Calculations
  370. Non-math Books on Probability
  371. X or -X
  372. Matrices and Fourth Dimension
  373. Shape of Intersecting Vesicas
  374. Sinusoidal Curves
  375. Square Root of Matrix
  376. Middle School Alternate Math Assessment
  377. Given A Sphere, Find Point
  378. Scale model
  379. Cone Volume Formula
  380. GRAD, DIV, CURL Origins
  381. Least Squares and Other Powers
  382. Prime Number Generation
  383. Set of Integers With Nonrepeating Digits
  384. Discrete Mathematics
  385. Binomial Theorem Derivation
  386. Sample Size and Significance
  387. Squared Decimals are Smaller
  388. Standard Deviation, Variance, Variability
  389. Radial Probability Function
  390. Sums of Irrational Numbers
  391. Formula for Subtraction Series
  392. Square of "i"
  393. Related Variables
  394. Prime Numbers and Randomness
  395. Variable X in Algebra
  396. L'Hospital's Rule Not Working
  397. Richter Scale Exponents
  398. Distance and Coordinate Formula
  399. Imaginary Number Inventor
  400. Infinite Series for Log
  401. Dividing Polynomials
  402. Fractional Matrices
  403. Skew Lines
  404. Apparent Size and Distance Formula
  405. Shortest Distance on Sphere Formula
  406. Least Squares
  407. Simultaneity, Time, and Equations
  408. Fundamental Theorem of Geometry
  409. More Than 100%
  410. Hole in One Probability
  411. Largest Named Number
  412. Vector Division
  413. Math and Roller Coasters
  414. Teaching Multiplication
  415. Origin of ln Notation
  416. Inverse Matrix Applications
  417. Applications of Completing the Square
  418. Pi and Finite Measurements
  419. Development of Theorems
  420. Dividing Circle in Thirds With Parallels
  421. Square Numbers
  422. Combination Lock Possibilities
  423. Geometric Sequences and Calculators
  424. Combination Lock Possibilities
  425. Calculating Horizon as a Function of Altitude
  426. Zero Divided by Zero Conceptualized
  427. Scaling Exercises
  428. Negative Even Numbers
  429. Chi Squared and Null Hypothesis
  430. Long Division Developer
  431. Volumes in Higher Dimensions
  432. Number of Dimensions
  433. Parallelism and Concentric Circles
  434. Calculating the Parabola Angle
  435. Parallelism and Concentric Circles
  436. Golden Proportion
  437. Imaginary Numbers to Imaginary Powers
  438. Nested Power Series
  439. Cube and Sphere Surface Area and Relative Size
  440. Real Conics Applications
  441. Solving X^2 = 2^X
  442. Cube and Sphere Surface Area and Relative Size
  443. Correlation and Causation
  444. Estimating Contrail Height
  445. Size of Infinity
  446. Bar for Repeating Decimals Term
  447. 45 Degrees Does Not Halve Gravitational Field Intensity
  448. Arabic Numerals and Shape
  449. Origin of FOIL Method
  450. Equation for Pi
  451. Functions
  452. Origin of Theta
  453. Functions
  454. Tutorial on the term Term
  455. Mathematics Log Books
  456. Multiples of Nine, Digit Sum
  457. Decimal System and Double Digits
  458. Gaussian Curve Summations
  459. Pi and Rectangle
  460. Three Heads in Row on Flips
  461. Combinations in Rotations
  462. Discontinuous Function Integration
  463. Elliptical Appearance and Viewing Angle
  464. Least Overlap Combinations
  465. Secant, Cosecant, and Cotangent Uses
  466. Discontinuous Function Integration
  467. Standard Deviations
  468. Circle Ratio 3.075
  469. Matrix "Division"
  470. Largest Number Smaller than One
  471. Mathematics and Natural Disasters
  472. Calculating Punnet Squares Quickly
  473. Greatest Multiple in Division
  474. Cross Products
  475. Differential Equation Solution
  476. Euclid's Parallel Postulate
  477. Searching for Non-Mersenne Prime Numbers
  478. Finite and Irrational Numbers
  479. nxn Matrix and Proof
  480. Statistics and Mendel's Law of Independent Assortment
  481. Teaching Mathematics Research
  482. Comparing Infinities
  483. Comparing Infinities

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