frontiers in mathematics and computer science

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Frontiers in Mathematics and Computer Science Salt Lake City Public Library, SLC, Utah Nazmus Saquib Scientific Computing and Imaging Institute

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Frontiers in Mathematics and Computer Science. Salt Lake City Public Library, SLC, Utah Nazmus Saquib Scientific Computing and Imaging Institute. h ello!. welcome to the workshop! a imed at anyone interested to know about current advances in math and CS - PowerPoint PPT Presentation

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Page 1: Frontiers in Mathematics and Computer Science

Frontiers in Mathematics and Computer ScienceSalt Lake City Public Library, SLC, Utah

Nazmus SaquibScientific Computing and Imaging Institute

Page 2: Frontiers in Mathematics and Computer Science

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

Page 3: Frontiers in Mathematics and Computer Science

prereqssome 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

Page 4: Frontiers in Mathematics and Computer Science

agendamathematics

◦chaos theory◦graph theory

computer science◦machine learning (artificial

intelligence)◦data analysis and mining

Page 5: Frontiers in Mathematics and Computer Science

agendamathematics

◦chaos theory butterfly effect weather forecast fractal music L-systems social interactions (in facebook)

◦graph theory social interactions example (continued)

Page 6: Frontiers in Mathematics and Computer Science

agendacomputer science

◦machine learning big data genetic algorithms

◦data mining sentiment analysis (in facebook) digital humanities

Page 7: Frontiers in Mathematics and Computer Science

a bit about myselfnazmus saquib (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

Page 8: Frontiers in Mathematics and Computer Science

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

Page 9: Frontiers in Mathematics and Computer Science

butterfly effect

Page 10: Frontiers in Mathematics and Computer Science

double pendulum

Page 11: Frontiers in Mathematics and Computer Science

philosophical implicationswhat causes big changes?

rumor spreading in a society

our actions can have bigger effects than we think

Page 12: Frontiers in Mathematics and Computer Science

why do we care?weather forecast!

Page 13: Frontiers in Mathematics and Computer Science

fractals

Page 14: Frontiers in Mathematics and Computer Science

fractals

Page 15: Frontiers in Mathematics and Computer Science

fractalsstart with a seed

change some properties

repeat!

Page 16: Frontiers in Mathematics and Computer Science

L-systemstart  : Arules  : (A → AB), (B → A)which produces:n = 0 : An = 1 : ABn = 2 : ABAn = 3 : ABAABn = 4 : ABAABABAn = 5 : ABAABABAABAABn = 6 : ABAABABAABAABABAABABAn = 7 :

ABAABABAABAABABAABABAABAABABAABAAB

Page 17: Frontiers in Mathematics and Computer Science

L-system (algae)

Page 18: Frontiers in Mathematics and Computer Science

L-system (fractal plant)

Page 19: Frontiers in Mathematics and Computer Science
Page 20: Frontiers in Mathematics and Computer Science

natural phenomena (romanesco broccoli)

Page 21: Frontiers in Mathematics and Computer Science

natural phenomena (frost crystals)

Page 22: Frontiers in Mathematics and Computer Science

fractal music

Music Demo

Page 23: Frontiers in Mathematics and Computer Science

digital humanitieswhat can we do with numbers?

viewing numbers can be useful

graphs, charts, images

Page 24: Frontiers in Mathematics and Computer Science

data miningnatural 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.

Page 25: Frontiers in Mathematics and Computer Science

sentiment analysis in literature?

Sentiment evolution in “Montezumma’s Daughter” – Henry Rider Haggard

Painting a Novel

Page 26: Frontiers in Mathematics and Computer Science

visualization techniquesExample work: Hadith text comparison

Page 27: Frontiers in Mathematics and Computer Science
Page 28: Frontiers in Mathematics and Computer Science

end of day 1resources

◦math fictions

thanks for showing up!

next time, some hands-on mathematics and computing!