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
Existence of Infinitely Many Solutions for Singular Semilinear Problems on Exterior Domains (open access)

Existence of Infinitely Many Solutions for Singular Semilinear Problems on Exterior Domains

Article proving the existence of infinitely many radial solutions of ∆𝓊+𝐾(𝓇) ƒ (𝓊) = 0 on the exterior of the ball of radius R > 0, BR, centered at the origin in ℝᴺ with u = 0 on ∂BR and lim/r→∞ 𝓊(𝓇) = 0 where N > 2, f is odd with f < 0 on (0, β), f > 0 on (β, ∞), f is superlinear for large u, ƒ(𝓊) ∼ −1/(|𝓊|𝘲⁻¹𝓊) with 0 < q < 1 for small u, and 0 < 𝐾(𝓇) ≤ 𝐾₁/r∝ with 𝑁 + q(𝑁 − 2) < ∝ < 2(𝑁− 1) for large r.
Date: March 9, 2018
Creator: Iaia, Joseph A.
System: The UNT Digital Library
Existence and Nonexistence of Solutions for Sublinear Equations on Exterior Domains (open access)

Existence and Nonexistence of Solutions for Sublinear Equations on Exterior Domains

This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0, BR, centered at the origin in ℝN with u = 0 on @BR where ƒ is odd with ƒ < 0 on (0; β), ƒ > 0 on (β;∞), f(u) ~ uᵖ with 0 < p < 1 for large u and K(r) ~ r⁻ᵅ for large r.
Date: September 13, 2017
Creator: Iaia, Joseph A.
System: The UNT Digital Library
GAW20: methods and strategies for the new frontiers of epigenetics and pharmacogenomics (open access)

GAW20: methods and strategies for the new frontiers of epigenetics and pharmacogenomics

Article presents an overview of the data sets and the contributions analyzing data related to human lipid-related phenotypes, DNA methylation, and single-nucleotide markers in a study involving a pharmaceutical intervention.
Date: September 17, 2018
Creator: Tintle, Nathan L.; Fardo, David W.; de Andrade, Mariza; Aslibekyan, Stella; Bailey, Julia N.; Bermejo, Justo Lorenzo et al.
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
Gene-Level Analysis of Anthracycline-Induced Cardiomyopathy in Cancer Survivors (open access)

Gene-Level Analysis of Anthracycline-Induced Cardiomyopathy in Cancer Survivors

Article describes how anthracyclines are highly effective in treating cancer, despite increased risk of cardiomyopathy. This study examined gene-level associations with cardiomyopathy among cancer survivors using whole-exome sequencing data.
Date: September 12, 2023
Creator: Sharafeldin, Noha; Zhou, Liting; Singh, Purnima; Crossman, David K.; Wang, Xuexia; Hagerman, Lindsey et al.
System: The UNT Digital Library
Duals of Tirilman spaces have unique subsymmetric basic sequences (open access)

Duals of Tirilman spaces have unique subsymmetric basic sequences

Article describes how the Tirilman spaces were introduced by Casazza and Shura as variations of the spaces constructed by Tzafriri. We prove that all subsymmetric basic sequences in the dual space are equivalent to its canonical subsymmetic but not symmetric basis.
Date: September 5, 2023
Creator: Dilworth, Steven J.; Kutzarova, Denka; Sari, Bünyamin & Stankov, Svetozar
System: The UNT Digital Library