Frontiers in Mathematics and Computer Science

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!