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Full-Text Articles in Physical Sciences and Mathematics
Newtonian Fractional-Dimension Gravity And Disk Galaxies, Gabriele U. Varieschi
Newtonian Fractional-Dimension Gravity And Disk Galaxies, Gabriele U. Varieschi
Physics Faculty Works
This paper continues previous work on a possible alternative model of gravity, based on the theory of fractional-dimension spaces applied to Newton's law of gravitation. In particular, our Newtonian Fractional-Dimension Gravity (NFDG) is now applied to axially-symmetric stellar structures, such as thin/thick disk galaxies described by exponential, Kuzmin, or other similar mass distributions. As in the case of spherically-symmetric structures, which was studied in previous work on the subject, we examine a possible connection between NFDG and Modified Newtonian Dynamics (MOND), a leading alternative gravity model, which accounts for the observed properties of galaxies and other astrophysical structures without requiring …
From Biquandle Structures To Hom-Biquandles, Alissa Crans
From Biquandle Structures To Hom-Biquandles, Alissa Crans
Mathematics Faculty Works
We investigate the relationship between the quandle and biquandle coloring invariant and obtain an enhancement of the quandle and biquandle coloring invariants using biquandle structures. We also continue the study of biquandle homomorphisms into a medial biquandle begun in [Hom quandles, J. Knot Theory Ramifications 23(2) (2014)], finding biquandle analogs of results therein. We describe the biquandle structure of the Hom-biquandle, and consider the relationship between the Hom-quandle and Hom-biquandle.
Newtonian Fractional-Dimension Gravity And Mond, Gabriele U. Varieschi
Newtonian Fractional-Dimension Gravity And Mond, Gabriele U. Varieschi
Physics Faculty Works
This paper introduces a possible alternative model of gravity based on the theory of fractional-dimension spaces and its applications to Newtonian gravity. In particular, Gauss’s law for gravity as well as other fundamental classical laws are extended to a D-dimensional metric space, where D can be a non-integer dimension. We show a possible connection between this Newtonian Fractional-Dimension Gravity (NFDG) and Modified Newtonian Dynamics (MOND), a leading alternative gravity model which accounts for the observed properties of galaxies and other astrophysical structures without requiring the dark matter hypothesis.
Shining A Light On A Hidden Figure: Dorothy Hoover, Lily S. Khadjavi
Shining A Light On A Hidden Figure: Dorothy Hoover, Lily S. Khadjavi
Mathematics Faculty Works
No abstract provided.
A Linear Optimal Feedback Control For Producing 1,3-Propanediol Via Microbial Fermentation, Yangping Ma
A Linear Optimal Feedback Control For Producing 1,3-Propanediol Via Microbial Fermentation, Yangping Ma
Mathematics Faculty Works
In this paper, we consider a multistage feedback control strategy for the production of 1,3-propanediol(1,3-PD) in microbial fermentation. The feedback control strategy is widely used in industry, and to the best of our knowledge, this is the first time it is applied to 1,3-PD. The feedback control law is assumed to be linear of the concentrations of biomass and glycerol, and the coefficients in the controller are continuous. A multistage feedback control law is obtained by using the control parameterization method on the coefficient functions. Then, the optimal control problem can be transformed into an optimal parameter selection problem. The …
Graphs Admitting Only Constant Splines, Alissa Crans, Blake Mellor
Graphs Admitting Only Constant Splines, Alissa Crans, Blake Mellor
Mathematics Faculty Works
We study generalized graph splines, introduced by Gilbert, Tymoczko, and Viel (2016). For a large class of rings, we characterize the graphs that only admit constant splines. To do this, we prove that if a graph has a particular type of cutset (e.g., a bridge), then the space of splines naturally decomposes as a certain direct sum of submodules. As an application, we use these results to describe splines on a triangulation studied by Zhou and Lai, but over a different ring than they used.