STaRS: Tobey Mathis and Michalis Paizanis (UNT undergraduate) | Department of Mathematics

STaRS: Tobey Mathis and Michalis Paizanis (UNT undergraduate)

Event Information
Event Location: 
GAB 461
Event Date: 
Friday, October 22, 2021 - 2:00pm

Mentors: Nathan Dalaklis (UNT graduate), Dr. Kiko Kawamura

Title: The Partial Derivative of Okamoto's Functions

Abstract: The differentiability of the one parameter family of Okomoto's functions as functions of x has been analyzed extensively since their introduction in 2005. As an analogue to a similar investigation, in this paper, we consider the partial derivative of Okomoto's functions with respect to the parameter a. We place a significant focus on a=1/3 to describe the properties of a nowhere differentiable function K(x) for which the set of points of infinite derivative produces an example of a measure zero set with Hausdorff dimension 1.

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