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…·8 min read·Oct 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…·8 min read·Sep 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…·7 min read·Feb 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.·5 min read·Jan 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.·11 min read·Aug 27, 2019--1--1
Mark DoddsinCantor’s ParadiseHow Quantum Computers Will Break Your Phone’s EncryptionThese days all your devices are encrypted. Your texts, emails, all have …·11 min read·Jun 30, 2019--3--3
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…·4 min read·May 9, 2019--1--1
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.·7 min read·Apr 28, 2019--2--2
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…·7 min read·Sep 8, 2018--11--11
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 mom·6 min read·Sep 3, 2018--104--104
