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