Mark DoddsHarnessing ChatGPT: A Direct Interaction vs. Programming Showdown (Part 1)We’re checking out how well ChatGPT solves problems. Does it work better when you chat with it, or when you give it some programming…Oct 16, 2023Oct 16, 2023
Mark DoddsinCantor’s ParadiseThe Joy of Problem Solving: Exploring Famous Math PuzzlesJoin us as we investigate mind bending puzzles, uncover the methods that illuminate their solutions, and sharpen our problem-solving…Sep 4, 2023Sep 4, 2023
Mark DoddsinCantor’s ParadiseThe History of FractionsThe word “fraction” comes from the Latin word “fractio,” which means “a breaking.” It reflects the idea of breaking a whole into smaller…Feb 17, 2023Feb 17, 2023
Mark DoddsinCantor’s ParadiseFractals in FinanceExploring how fractals, geometric shapes that have repeating patterns at varying scales, have been used in finance analysis and prediction.Jan 25, 2023Jan 25, 2023
Mark DoddsThe Mathematics That Fuels “Untangle The Lines” GamesEver wondered how “Untangled The Lines” games are able to create solvable puzzle on demand? A small corner of mathematics may hold the key.Aug 27, 20191Aug 27, 20191
Mark DoddsinCantor’s ParadiseHow Quantum Computers Will Break Your Phone’s EncryptionThese days all your devices are encrypted. Your texts, emails, all have …Jun 30, 20193Jun 30, 20193
Mark DoddsThere are the same amount of positive integers as regular integers.The sets A={…, -2, -1, 0, 1, 2…} containing all integers, and B={0, 1, 2, …} containing all integers ≥ 0 have the same number of elements…May 9, 20191May 9, 20191
Mark DoddsThe Millennium Prize ProblemsThe Millennium Prize Problems are 7 problems in mathematics that were stated by the Clay Mathematics Institute with a reward of $1,000,000.Apr 28, 20192Apr 28, 20192
Mark Dodds∞⁰ = ∞, 1, or undefined. Which is it?A couple days ago I wrote an article about the Ramanujan Summation, which to cut a long story short is a mathematical series that looks…Sep 8, 201811Sep 8, 201811
Mark DoddsinCantor’s ParadiseThe Ramanujan Summation: 1 + 2 + 3 + ⋯ + ∞ = -1/12?“What on earth are you talking about? There’s no way that’s true!” — My momSep 3, 2018104Sep 3, 2018104