Seminar Calendar
for events the week of Sunday, July 24, 2016.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Tuesday, July 26, 2016

REU Seminar
12:00 pm   in 345 Altgeld Hall,  Tuesday, July 26, 2016
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Submitted by santana.
Khoa Tran (University of Illinois at Urbana-Champaign)
The art of cubing: The mathematics behind Rubik's cube
Abstract: What are some useful permutations for the Rubik's Cube? Which configurations are possible given that we can only do certain possible moves? In this talk, we will first gain some understanding about the Cube by abstracting it using Group Theory. We will focus on the Symmetric Group and the parity homomorphism, their application on the Cube, and various subgroups that can be easily illustrated on the Cube.

Thursday, July 28, 2016

REU Final Presentations
12:00 pm   in 345 Altgeld Hall,  Thursday, July 28, 2016
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Daniyar Omarov, Khoa Tran, Laila Zhexembay (University of Illinois at Urbana-Champaign and Nazarbayev University)
Zipf's Law: A Universal Law for Empirical Data from Word Frequencies to Olympic Records
Abstract: Zipf's Law is a mathematical law governing a wide range of empirical data such as word frequencies, city populations, Olympic records, and astronomical data. In our project we investigate the occurrence of Zipf's Law in natural and artificial languages, random texts, and cipher texts.

REU Final Presentations
1:00 pm   in 345 Altgeld Hall,  Thursday, July 28, 2016
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Submitted by santana.
Qingci An, Madina Bolat, Jose Sanchez (University of Illinois at Urbana-Champaign and Nazarbayev University)
Knowledge Spaces: The Mathematics Behind Assessment and Learning
Abstract: Knowledge spaces are mathematical objects that can be used to identify the knowledge state of students and have been used in assessment and learning systems like ALEKS. In our project, we build a simple knowledge space and run simulations based on real-world data to investigate the knowledge state of an "average" student.