Browsing Mathematics by Title
Now showing items 31-36 of 36
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Random Walks on Finite Fields and Heisenberg Groups
(East Carolina University, 2011)Let H be a finite group and [mu] a probability measure on H. This data determines an invariant random walk on H beginning from the identity element. The probability distribution for the state of the random walk after n ... -
Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms
(2022-07-07)For a wide class of solutions to multiplicatively advanced differential equations (MADEs), a comprehensive set of relations is established between their Fourier transforms and Jacobi theta functions. In demonstrating this ... -
The Spectral Theorem for Self-Adjoint Operators
(East Carolina University, 2016-04-25)The Spectral Theorem for Self-Adjoint Operators allows one to define what it means to evaluate a function on the operator for a large class of functions defined on the spectrum of the operator. This is done by developing ... -
Theorems in Visual Art: Art and Math Teacher Collaboration toward Creative Leadership
(2018)An artist and a mathematician meet. The authors of this article, one an art education professor and the other a mathematics professor, collaborated to conduct research as a team, examining perceptions of K-12 art ... -
Theoretical aspects and modelling of cellular decision making, cell killing and information-processing in photodynamic therapy of cancer
(2013)BACKGROUND: The aim of this report is to provide a mathematical model of the mechanism for making binary fate decisions about cell death or survival, during and after Photodynamic Therapy (PDT) treatment, and to supply ...