Download Frontiers in Mathematics and Computing

Frontiers in Mathematics and
Computer Science
Salt Lake City Public Library, SLC, Utah
Nazmus Saquib
Scientific 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
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
agenda

mathematics
◦ chaos theory
◦ graph theory

computer science
◦ machine learning (artificial intelligence)
◦ data analysis and mining
agenda

mathematics
◦ chaos theory





butterfly effect
weather forecast
fractal music
L-systems
social interactions (in facebook)
◦ graph theory
 social interactions example (continued)
agenda

computer science
◦ machine learning
 big data
 genetic algorithms
◦ data mining
 sentiment analysis (in facebook)
 digital humanities
a bit about myself

nazmus 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 implications

what 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
fractals

start with a seed

change some properties

repeat!
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
L-system (algae)
L-system (fractal plant)
natural phenomena (romanesco
broccoli)
natural phenomena (frost crystals)
fractal music
Music Demo
digital humanities

what can we do with numbers?

viewing numbers can be useful

graphs, charts, images
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.
sentiment analysis in literature?
Painting a Novel
Sentiment evolution in “Montezumma’s Daughter” – Henry Rider Haggard
visualization techniques

Example work: Hadith text comparison
end of day 1

resources
◦ math fictions

thanks for showing up!

next time, some hands-on mathematics
and computing!