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. h ello!. welcome to the workshop! a imed at anyone interested to know about current advances in math and CS - PowerPoint PPT PresentationTRANSCRIPT
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Frontiers in Mathematics and Computer ScienceSalt Lake City Public Library, SLC, Utah
Nazmus SaquibScientific Computing and Imaging Institute
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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
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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
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agendamathematics
◦chaos theory◦graph theory
computer science◦machine learning (artificial
intelligence)◦data analysis and mining
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agendamathematics
◦chaos theory butterfly effect weather forecast fractal music L-systems social interactions (in facebook)
◦graph theory social interactions example (continued)
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agendacomputer science
◦machine learning big data genetic algorithms
◦data mining sentiment analysis (in facebook) digital humanities
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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
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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
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butterfly effect
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double pendulum
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philosophical implicationswhat causes big changes?
rumor spreading in a society
our actions can have bigger effects than we think
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why do we care?weather forecast!
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fractals
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fractals
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fractalsstart with a seed
change some properties
repeat!
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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
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L-system (algae)
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L-system (fractal plant)
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natural phenomena (romanesco broccoli)
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natural phenomena (frost crystals)
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fractal music
Music Demo
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digital humanitieswhat can we do with numbers?
viewing numbers can be useful
graphs, charts, images
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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.
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sentiment analysis in literature?
Sentiment evolution in “Montezumma’s Daughter” – Henry Rider Haggard
Painting a Novel
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visualization techniquesExample work: Hadith text comparison
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end of day 1resources
◦math fictions
thanks for showing up!
next time, some hands-on mathematics and computing!