2015 - 18th Annual Steven Galovich Memorial Student Symposium

Presentation Title

What's so rational about the alphabet?

Location

Skybox

Abstract

In this presentation, we will demonstrate how to construct what is known in mathematics as a “random walk” from the digits of any given number. We use base 4 to convert each digit in the given number into 0, 1, 2, or 3, and then create the random walk using pre-defined “steps” corresponding to each digit: the digit 0 represents a step to the right, the digit 1 represents a step up, the digit 2 represents a step to the left, and the digit 3 represents a step down. We will illustrate how we created a computer program that takes a word as input and it outputs a rational number whose random walk spells out the word.

Presentation Type

Group Talk

Start Date

4-7-2015 1:00 PM

End Date

4-7-2015 2:15 PM

Panel

Quantitative Methods: Walks, Collisions, and More

Panel Moderator

Stewart Foley

Field of Study for Presentation

Computer Science, Mathematics

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Apr 7th, 1:00 PM Apr 7th, 2:15 PM

What's so rational about the alphabet?

Skybox

In this presentation, we will demonstrate how to construct what is known in mathematics as a “random walk” from the digits of any given number. We use base 4 to convert each digit in the given number into 0, 1, 2, or 3, and then create the random walk using pre-defined “steps” corresponding to each digit: the digit 0 represents a step to the right, the digit 1 represents a step up, the digit 2 represents a step to the left, and the digit 3 represents a step down. We will illustrate how we created a computer program that takes a word as input and it outputs a rational number whose random walk spells out the word.