Degree Department

Parametric nondifferentiable multiobjective fractional programming under (b;Ψ; Φ; ρ)-univexity (open access)

Parametric nondifferentiable multiobjective fractional programming under (b;Ψ; Φ; ρ)-univexity

This article is concerned with optimality conditions and duality results for nondifferentiable multi-objective fractional programming problems.
Date: September 27, 2018
Creator: Antczak, Tadeusz & Verma, Ram U.
System: The UNT Digital Library
Uniformly de Bruijn Sequences and Symbolic Diophantine Approximation on Fractals (open access)

Uniformly de Bruijn Sequences and Symbolic Diophantine Approximation on Fractals

Article expanding the Intrinsic Diophantine approximation on fractals first proposed by K. Mahler (1984). This article describes and develops the theory of infinite de Bruijn sequences and answers questions related to Hausdorff dimension, Diophantine approximation, Dirichlet function, and height function.
Date: April 27, 2018
Creator: Fishman, Lior; Merrill, Keith & Simmons, David
System: The UNT Digital Library
Descriptive Complexity in Cantor Series (open access)

Descriptive Complexity in Cantor Series

Article discusses how a Cantor series expansion for a real number x with respect to a basic sequence Q=(q), where qi≥2, is a generalization of the base b expansion to an infinite sequence of bases. The authors show that for any basic sequence the set of distribution normal numbers is Π03-complete, and if Q is 1-divergent then the sets of normal and ratio normal numbers are Π03-complete.
Date: September 27, 2021
Creator: Airey, Dylan; Jackson, Steve & Mance, Bill
System: The UNT Digital Library