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Frontiers in Mathematics and Computer Science

Join us at the Salt Lake City Public Library for an engaging workshop hosted by Nazmus Saquib from the Scientific Computing and Imaging Institute. This session is perfect for anyone interested in the latest developments in mathematics and computer science, focusing on topics like chaos theory, machine learning, data analysis, and more. Prior knowledge of algebra is helpful but not necessary. Bring a laptop to participate in interactive discussions. We'll explore concepts such as the butterfly effect, fractals, and sentiment analysis, while encouraging a collaborative learning environment.

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Frontiers in Mathematics and Computer Science

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  1. Frontiers in Mathematics and Computer Science Salt Lake City Public Library, SLC, Utah NazmusSaquib Scientific Computing and Imaging Institute

  2. hello! • welcome to the workshop! • aimed at • anyone interested to know about current advances in math and CS • anyone who wants to get a taste of what happens in the math and CS world

  3. prereqs • some algebra might be helpful • if no algebra background, you can still follow through the discussion • preferably, a laptop with you to try out some stuff later

  4. agenda • mathematics • chaos theory • graph theory • computer science • machine learning (artificial intelligence) • data analysis and mining

  5. agenda • mathematics • chaos theory • butterfly effect • weather forecast • fractal music • L-systems • social interactions (in facebook) • graph theory • social interactions example (continued)

  6. agenda • computer science • machine learning • big data • genetic algorithms • data mining • sentiment analysis (in facebook) • digital humanities

  7. a bit about myself • nazmussaquib (sakib) • undergraduate in {physics, computer science and mathematics} • MS in computational mathematics • research student in scientific computing and imaging institute • previous experience in robotics, particle physics and cognitive science

  8. chaos theory! • butterfly effect • coined by Lorenz – an American Mathematician and Meteorologist • small perturbations can cause big changes! • how small, and how big? • a hypothetical butterfly • pendulum example

  9. butterfly effect

  10. double pendulum

  11. philosophical implications • what causes big changes? • rumor spreading in a society • our actions can have bigger effects than we think

  12. why do we care? • weather forecast!

  13. fractals

  14. fractals

  15. fractals • start with a seed • change some properties • repeat!

  16. L-system • start  : A • rules  : (A → AB), (B → A) • which produces: • n = 0 : A • n = 1 : AB • n = 2 : ABA • n = 3 : ABAAB • n = 4 : ABAABABA • n = 5 : ABAABABAABAAB • n = 6 : ABAABABAABAABABAABABA • n = 7 : ABAABABAABAABABAABABAABAABABAABAAB

  17. L-system (algae)

  18. L-system (fractal plant)

  19. natural phenomena (romanescobroccoli)

  20. natural phenomena (frost crystals)

  21. fractal music Music Demo

  22. digital humanities • what can we do with numbers? • viewing numbers can be useful • graphs, charts, images

  23. data mining • natural language processing • sentiment Analysis • convert emotional sentences to numbers! • “I really hated reading the fifth chapter” • {0, 2*, -4, 1, 0, 0, 0} => {-8, +1}, assigned to fifth chapter. • intelligent deduction – score dictionary of emotion words.

  24. sentiment analysis in literature? Painting a Novel Sentiment evolution in “Montezumma’s Daughter” – Henry Rider Haggard

  25. visualization techniques • Example work: Hadith text comparison

  26. end of day 1 • resources • math fictions • thanks for showing up! • next time, some hands-on mathematics and computing!

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