Open Access. Powered by Scholars. Published by Universities.®
- Discipline
-
- Analysis (18)
- Applied Mathematics (11)
- Education (11)
- Algebra (8)
- Geometry and Topology (8)
-
- Social and Behavioral Sciences (8)
- Arts and Humanities (6)
- Discrete Mathematics and Combinatorics (6)
- Dynamical Systems (5)
- Other Applied Mathematics (5)
- Science and Mathematics Education (5)
- Statistics and Probability (5)
- Computer Sciences (4)
- Data Science (4)
- Engineering (4)
- Environmental Sciences (4)
- Life Sciences (4)
- Physics (4)
- Applied Statistics (3)
- Artificial Intelligence and Robotics (3)
- Earth Sciences (3)
- Oceanography (3)
- Oceanography and Atmospheric Sciences and Meteorology (3)
- Ordinary Differential Equations and Applied Dynamics (3)
- Other Physical Sciences and Mathematics (3)
- Other Physics (3)
- Political Science (3)
- Institution
-
- Louisiana State University (15)
- Chapman University (8)
- Shawnee State University (7)
- Claremont Colleges (6)
- City University of New York (CUNY) (4)
-
- California State University, San Bernardino (3)
- Illinois State University (3)
- Old Dominion University (3)
- United Arab Emirates University (2)
- University of Kentucky (2)
- University of Tennessee, Knoxville (2)
- Western University (2)
- Bard College (1)
- Bowling Green State University (1)
- Brigham Young University (1)
- Bryant University (1)
- Cal Poly Humboldt (1)
- Central Washington University (1)
- Coastal Carolina University (1)
- East Tennessee State University (1)
- Embry-Riddle Aeronautical University (1)
- Harrisburg University of Science and Technology (1)
- Marshall University (1)
- Michigan Technological University (1)
- Mississippi State University (1)
- Nova Southeastern University (1)
- Prairie View A&M University (1)
- Purdue University (1)
- Rose-Hulman Institute of Technology (1)
- SUNY Geneseo (1)
- Keyword
-
- Mathematics (6)
- Category theory (2)
- DNA (2)
- Deep Learning (2)
- Estimation theory (2)
-
- Fock space (2)
- Graph theory (2)
- Topology (2)
- ∂-problem (2)
- $K_n$ (1)
- 34K60 (1)
- 4-braids. (1)
- 60E05 (1)
- 91D30 (1)
- <p>Graph theory – Mathematics.</p> <p>Decomposition (Mathematics).</p> (1)
- Absolute Omega (1)
- Activities (1)
- Adaptive Sampling (1)
- Adaptively Weighted Discriminator Generative Adversarial Network (1)
- Alexander polynomial (1)
- Algebra (1)
- Alternating knots (1)
- Ambient Isotopy (1)
- Analysis (1)
- Analytic number theory (1)
- Annular cross-sectional area of the tower (1)
- Ap spaces (1)
- Apportionment (1)
- Approximating sequence (1)
- Assorted-Time Normalization (1)
- Publication
-
- Journal of Stochastic Analysis (14)
- Mathematics, Physics, and Computer Science Faculty Articles and Research (8)
- Master of Science in Mathematics (7)
- Annual Symposium on Biomathematics and Ecology Education and Research (3)
- Dissertations, Theses, and Capstone Projects (3)
-
- Electronic Theses, Projects, and Dissertations (3)
- Mathematics & Statistics Faculty Publications (3)
- Doctoral Dissertations (2)
- Electronic Thesis and Dissertation Repository (2)
- HMC Senior Theses (2)
- Journal of Humanistic Mathematics (2)
- Scripps Senior Theses (2)
- Theses (2)
- Theses and Dissertations (2)
- Theses and Dissertations--Mathematics (2)
- Applications and Applied Mathematics: An International Journal (AAM) (1)
- Dissertations, Master's Theses and Master's Reports (1)
- Doctoral Dissertations and Master's Theses (1)
- Electronic Theses and Dissertations (1)
- Harrisburg University Research Symposium: Highlighting Research, Innovation, & Creativity (1)
- Honors Projects (1)
- Honors Projects in Mathematics (1)
- Honors Theses (1)
- I-GUIDE Forum (1)
- IdeaFest: Interdisciplinary Journal of Creative Works and Research from Cal Poly Humboldt (1)
- Journal of Math Circles (1)
- Journal of Nonprofit Innovation (1)
- LSU Doctoral Dissertations (1)
- Mathematics and Statistics (1)
- Milne Open Textbooks (1)
- Publication Type
Articles 1 - 30 of 80
Full-Text Articles in Other Mathematics
Reducing Food Scarcity: The Benefits Of Urban Farming, S.A. Claudell, Emilio Mejia
Reducing Food Scarcity: The Benefits Of Urban Farming, S.A. Claudell, Emilio Mejia
Journal of Nonprofit Innovation
Urban farming can enhance the lives of communities and help reduce food scarcity. This paper presents a conceptual prototype of an efficient urban farming community that can be scaled for a single apartment building or an entire community across all global geoeconomics regions, including densely populated cities and rural, developing towns and communities. When deployed in coordination with smart crop choices, local farm support, and efficient transportation then the result isn’t just sustainability, but also increasing fresh produce accessibility, optimizing nutritional value, eliminating the use of ‘forever chemicals’, reducing transportation costs, and fostering global environmental benefits.
Imagine Doris, who is …
Convolution And Autoencoders Applied To Nonlinear Differential Equations, Noah Borquaye
Convolution And Autoencoders Applied To Nonlinear Differential Equations, Noah Borquaye
Electronic Theses and Dissertations
Autoencoders, a type of artificial neural network, have gained recognition by researchers in various fields, especially machine learning due to their vast applications in data representations from inputs. Recently researchers have explored the possibility to extend the application of autoencoders to solve nonlinear differential equations. Algorithms and methods employed in an autoencoder framework include sparse identification of nonlinear dynamics (SINDy), dynamic mode decomposition (DMD), Koopman operator theory and singular value decomposition (SVD). These approaches use matrix multiplication to represent linear transformation. However, machine learning algorithms often use convolution to represent linear transformations. In our work, we modify these approaches to …
(R2054) Convergence Of Lagrange-Hermite Interpolation Using Non-Uniform Nodes On The Unit Circle, Swarnima Bahadur, Sameera Iqram, Varun .
(R2054) Convergence Of Lagrange-Hermite Interpolation Using Non-Uniform Nodes On The Unit Circle, Swarnima Bahadur, Sameera Iqram, Varun .
Applications and Applied Mathematics: An International Journal (AAM)
In this research article, we brought into consideration the set of non-uniformly distributed nodes on the unit circle to investigate a Lagrange-Hermite interpolation problem. These nodes are obtained by projecting vertically the zeros of Jacobi polynomial onto the unit circle along with the boundary points of the unit circle on the real line. Explicitly representing the interpolatory polynomial as well as establishment of convergence theorem are the key highlights of this manuscript. The result proved are of interest to approximation theory.
Measuring The Lengths Of Sperm Whales Of The Northern Gulf Of Mexico By Wavelet Analysis Of Their Usual Clicks, George Drouant
Measuring The Lengths Of Sperm Whales Of The Northern Gulf Of Mexico By Wavelet Analysis Of Their Usual Clicks, George Drouant
University of New Orleans Theses and Dissertations
Abstract
Acoustic recordings of underwater sounds produced by marine mammals present an attractive alternative to costly and logistically complex ship based visual surveys for collecting population data for various species.
The first reported use of underwater acoustic recordings in the long-term monitoring of sperm whale populations was by Ackleh et al. (Ackleh et al., 2012). The paper describes counting sperm whale clicks at different locations to track population changes over time.
Analysis of sperm whale clicks offers additional insight into sperm whale populations. The echo location clicks (usual clicks) of sperm whales can be used to give an estimate of …
An Exposition Of The Curvature Of Warped Product Manifolds, Angelina Bisson
An Exposition Of The Curvature Of Warped Product Manifolds, Angelina Bisson
Electronic Theses, Projects, and Dissertations
The field of differential geometry is brimming with compelling objects, among which are warped products. These objects hold a prominent place in differential geometry and have been widely studied, as is evident in the literature. Warped products are topologically the same as the Cartesian product of two manifolds, but with distances in one of the factors in skewed. Our goal is to introduce warped product manifolds and to compute their curvature at any point. We follow recent literature and present a previously known result that classifies all flat warped products to find that there are flat examples of warped products …
Msis-Capaldi: Modelling The Winter Tick Epizootic In Moose, Charlotte Beckford
Msis-Capaldi: Modelling The Winter Tick Epizootic In Moose, Charlotte Beckford
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Integrating Quantitative Skills Into Biology Courses, Kathleen Hoffman, Sarah Leupen, Hannah Pie, Michelle Starz-Gaiano, Patricia Turner, Tory Williams
Integrating Quantitative Skills Into Biology Courses, Kathleen Hoffman, Sarah Leupen, Hannah Pie, Michelle Starz-Gaiano, Patricia Turner, Tory Williams
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modelling Impact Of Diverse Vegetation On Crop-Pollinator Interactions, Morgan N. Beetler
Modelling Impact Of Diverse Vegetation On Crop-Pollinator Interactions, Morgan N. Beetler
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
On A Stationary Random Knot, Andrey A. Dorogovtsev
On A Stationary Random Knot, Andrey A. Dorogovtsev
Journal of Stochastic Analysis
No abstract provided.
Most Popular Genre's Of Videogames To Play For Hu Students, Asheria Upsher, Jean Orejuela, Joshua Scott
Most Popular Genre's Of Videogames To Play For Hu Students, Asheria Upsher, Jean Orejuela, Joshua Scott
Harrisburg University Research Symposium: Highlighting Research, Innovation, & Creativity
Our Poster will show the most played and favored videogame genre's according to HU students.
Reducing Uncertainty In Sea-Level Rise Prediction: A Spatial-Variability-Aware Approach, Subhankar Ghosh, Shuai An, Arun Sharma, Jayant Gupta, Shashi Shekhar, Aneesh Subramanian
Reducing Uncertainty In Sea-Level Rise Prediction: A Spatial-Variability-Aware Approach, Subhankar Ghosh, Shuai An, Arun Sharma, Jayant Gupta, Shashi Shekhar, Aneesh Subramanian
I-GUIDE Forum
Given multi-model ensemble climate projections, the goal is to accurately and reliably predict future sea-level rise while lowering the uncertainty. This problem is important because sea-level rise affects millions of people in coastal communities and beyond due to climate change's impacts on polar ice sheets and the ocean. This problem is challenging due to spatial variability and unknowns such as possible tipping points (e.g., collapse of Greenland or West Antarctic ice-shelf), climate feedback loops (e.g., clouds, permafrost thawing), future policy decisions, and human actions. Most existing climate modeling approaches use the same set of weights globally, during either regression or …
Backward Stochastic Differential Equations In A Semi-Markov Chain Model, Robert J. Elliott, Zhe Yang
Backward Stochastic Differential Equations In A Semi-Markov Chain Model, Robert J. Elliott, Zhe Yang
Journal of Stochastic Analysis
No abstract provided.
Rigid Body Constrained Motion Optimization And Control On Lie Groups And Their Tangent Bundles, Brennan S. Mccann
Rigid Body Constrained Motion Optimization And Control On Lie Groups And Their Tangent Bundles, Brennan S. Mccann
Doctoral Dissertations and Master's Theses
Rigid body motion requires formulations where rotational and translational motion are accounted for appropriately. Two Lie groups, the special orthogonal group SO(3) and the space of quaternions H, are commonly used to represent attitude. When considering rigid body pose, that is spacecraft position and attitude, the special Euclidean group SE(3) and the space of dual quaternions DH are frequently utilized. All these groups are Lie groups and Riemannian manifolds, and these identifications have profound implications for dynamics and controls. The trajectory optimization and optimal control problem on Riemannian manifolds presents significant opportunities for theoretical development. Riemannian optimization is an attractive …
Superoscillations And Fock Spaces, Daniel Alpay, Fabrizio Colombo, Kamal Diki, Irene Sabadini, Daniele C. Struppa
Superoscillations And Fock Spaces, Daniel Alpay, Fabrizio Colombo, Kamal Diki, Irene Sabadini, Daniele C. Struppa
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper we use techniques in Fock spaces theory and compute how the Segal-Bargmann transform acts on special wave functions obtained by multiplying superoscillating sequences with normalized Hermite functions. It turns out that these special wave functions can be constructed also by computing the approximating sequence of the normalized Hermite functions. First, we start by treating the case when a superoscillating sequence is multiplied by the Gaussian function. Then, we extend these calculations to the case of normalized Hermite functions leading to interesting relations with Weyl operators. In particular, we show that the Segal-Bargmann transform maps superoscillating sequences onto …
Approaches To Assessing Nutrient Coupling In Open Ocean Datasets, James M. Moore, Claire P. Till
Approaches To Assessing Nutrient Coupling In Open Ocean Datasets, James M. Moore, Claire P. Till
IdeaFest: Interdisciplinary Journal of Creative Works and Research from Cal Poly Humboldt
Nutrient coupling describes a process where the biogeochemical cycles of two elements are linked by being incorporated similarly into biomass. This paper uses data from the GEOTRACES GP16 cruise (Eastern Pacific Zonal Transect) to investigate the relationship between certain macronutrients generally coupled to trace elements in terms of their oceanic distributions with the notable exception of in an oxygen minimum zone: cadmium-phosphate and zinc-silicate. There are many methods applied to oceanographic data to correlate analyte concentrations; while they are often presented independently in literature, here we attempt to use them in conjunction for a more thorough interpretation. By compiling 1) …
The Mean Sum Of Squared Linking Numbers Of Random Piecewise-Linear Embeddings Of $K_N$, Yasmin Aguillon, Xingyu Cheng, Spencer Eddins, Pedro Morales
The Mean Sum Of Squared Linking Numbers Of Random Piecewise-Linear Embeddings Of $K_N$, Yasmin Aguillon, Xingyu Cheng, Spencer Eddins, Pedro Morales
Rose-Hulman Undergraduate Mathematics Journal
DNA and other polymer chains in confined spaces behave like closed loops. Arsuaga et al. \cite{AB} introduced the uniform random polygon model in order to better understand such loops in confined spaces using probabilistic and knot theoretical techniques, giving some classification on the mean squared linking number of such loops. Flapan and Kozai \cite{flapan2016linking} extended these techniques to find the mean sum of squared linking numbers for random linear embeddings of complete graphs $K_n$ and found it to have order $\Theta(n(n!))$. We further these ideas by inspecting random piecewise-linear embeddings of complete graphs and give introductory-level summaries of the ideas …
On The Spectrum Of Quaquaversal Operators, Josiah Sugarman
On The Spectrum Of Quaquaversal Operators, Josiah Sugarman
Dissertations, Theses, and Capstone Projects
In 1998 Charles Radin and John Conway introduced the Quaquaversal Tiling. A three dimensional hierarchical tiling with the property that the orientations of its tiles approach a uniform distribution faster than what is possible for hierarchical tilings in two dimensions. The distribution of orientations is controlled by the spectrum of a certain Hecke operator, which we refer to as the Quaquaversal Operator. For example, by showing that the largest eigenvalue has multiplicity equal to one, Charles Radin and John Conway showed that the orientations of this tiling approach a uniform distribution. In 2008, Bourgain and Gamburd showed that this operator …
Differential Calculus: From Practice To Theory, Eugene Boman, Robert Rogers
Differential Calculus: From Practice To Theory, Eugene Boman, Robert Rogers
Milne Open Textbooks
Differential Calculus: From Practice to Theory covers all of the topics in a typical first course in differential calculus. Initially it focuses on using calculus as a problem solving tool (in conjunction with analytic geometry and trigonometry) by exploiting an informal understanding of differentials (infinitesimals). As much as possible large, interesting, and important historical problems (the motion of falling bodies and trajectories, the shape of hanging chains, the Witch of Agnesi) are used to develop key ideas. Only after skill with the computational tools of calculus has been developed is the question of rigor seriously broached. At that point, the …
Geometry In Spectral Triples: Immersions And Fermionic Fuzzy Geometries, Luuk S. Verhoeven
Geometry In Spectral Triples: Immersions And Fermionic Fuzzy Geometries, Luuk S. Verhoeven
Electronic Thesis and Dissertation Repository
We investigate the metric nature of spectral triples in two ways.
Given an oriented Riemannian embedding i:X->Y of codimension 1 we construct a family of unbounded KK-cycles i!(epsilon), each of which represents the shriek class of i in KK-theory. These unbounded KK-cycles are further equipped with connections, allowing for the explicit computation of the products of i! with the spectral triple of Y at the unbounded level. In the limit epsilon to 0 the product of these unbounded KK-cycles with the canonical spectral triple for Y admits an asymptotic expansion. The divergent part of this expansion is known and …
Double Barrier Backward Doubly Stochastic Differential Equations, Tadashi Hayashi
Double Barrier Backward Doubly Stochastic Differential Equations, Tadashi Hayashi
Journal of Stochastic Analysis
No abstract provided.
Symmetric Functions Algebras (Sfa) Iii: Stochastic And Constant Row Sum Matrices, Philip Feinsilver
Symmetric Functions Algebras (Sfa) Iii: Stochastic And Constant Row Sum Matrices, Philip Feinsilver
Journal of Stochastic Analysis
No abstract provided.
Signings Of Graphs And Sign-Symmetric Signed Graphs, Ahmad Asiri
Signings Of Graphs And Sign-Symmetric Signed Graphs, Ahmad Asiri
Theses and Dissertations
In this dissertation, we investigate various aspects of signed graphs, with a particular focus on signings and sign-symmetric signed graphs. We begin by examining the complete graph on six vertices with one edge deleted ($K_6$\textbackslash e) and explore the different ways of signing this graph up to switching isomorphism. We determine the frustration index (number) of these signings and investigate the existence of sign-symmetric signed graphs. We then extend our study to the $K_6$\textbackslash 2e graph and the McGee graph with exactly two negative edges. We investigate the distinct ways of signing these graphs up to switching isomorphism and demonstrate …
Math And Democracy, Kimberly A. Roth, Erika L. Ward
Math And Democracy, Kimberly A. Roth, Erika L. Ward
Journal of Humanistic Mathematics
Math and Democracy is a math class containing topics such as voting theory, weighted voting, apportionment, and gerrymandering. It was first designed by Erika Ward for math master’s students, mostly educators, but then adapted separately by both Erika Ward and Kim Roth for a general audience of undergraduates. The course contains materials that can be explored in mathematics classes from those for non-majors through graduate students. As such, it serves students from all majors and allows for discussion of fairness, racial justice, and politics while exploring mathematics that non-major students might not otherwise encounter. This article serves as a guide …
Dna Self-Assembly Of Trapezohedral Graphs, Hytham Abdelkarim
Dna Self-Assembly Of Trapezohedral Graphs, Hytham Abdelkarim
Electronic Theses, Projects, and Dissertations
Self-assembly is the process of a collection of components combining to form an organized structure without external direction. DNA self-assembly uses multi-armed DNA molecules as the component building blocks. It is desirable to minimize the material used and to minimize genetic waste in the assembly process. We will be using graph theory as a tool to find optimal solutions to problems in DNA self-assembly. The goal of this research is to develop a method or algorithm that will produce optimal tile sets which will self-assemble into a target DNA complex. We will minimize the number of tile and bond-edge types …
The G_2-Hitchin Component Of Triangle Groups: Dimension And Integer Points, Hannah E. Downs
The G_2-Hitchin Component Of Triangle Groups: Dimension And Integer Points, Hannah E. Downs
Doctoral Dissertations
The image of $\PSL(2,\reals)$ under the irreducible representation into $\PSL(7,\reals)$ is contained in the split real form $G_{2}^{4,3}$ of the exceptional Lie group $G_{2}$. This irreducible representation therefore gives a representation $\rho$ of a hyperbolic triangle group $\Gamma(p,q,r)$ into $G_{2}^{4,3}$, and the \textit{Hitchin component} of the representation variety $\Hom(\Gamma(p,q,r),G_{2}^{4,3})$ is the component of $\Hom(\Gamma(p,q,r),G_{2}^{4,3})$ containing $\rho$.
This thesis is in two parts: (i) we give a simple, elementary proof of a formula for the dimension of this Hitchin component, this formula having been obtained earlier in [Alessandrini et al.], \citep{Alessandrini2023}, as part of a wider investigation using Higgs bundle techniques, …
An Extension Of The Complex–Real (C–R) Calculus To The Bicomplex Setting, With Applications, Daniel Alpay, Kamal Diki, Mihaela Vajiac
An Extension Of The Complex–Real (C–R) Calculus To The Bicomplex Setting, With Applications, Daniel Alpay, Kamal Diki, Mihaela Vajiac
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper, we extend notions of complex ℂ−ℝ-calculus to the bicomplex setting and compare the bicomplex polyanalytic function theory to the classical complex case. Applications of this theory include two bicomplex least mean square algorithms, which extend classical real and complex least mean square algorithms.
Polynomial Density Of Compact Smooth Surfaces, Luke P. Broemeling
Polynomial Density Of Compact Smooth Surfaces, Luke P. Broemeling
Electronic Thesis and Dissertation Repository
We show that any smooth closed surface has polynomial density 3 and that any connected compact smooth surface with boundary has polynomial density 2.
Multiplication Operators By White Noise Delta Functions And Associated Differential Equations, Luigi Accardi, Un Cig Ji, Kimiaki Saitô
Multiplication Operators By White Noise Delta Functions And Associated Differential Equations, Luigi Accardi, Un Cig Ji, Kimiaki Saitô
Journal of Stochastic Analysis
No abstract provided.
Random Variables With Overlapping Number And Weyl Algebras Ii, Ruma Dutta, Gabriela Popa, Aurel Stan
Random Variables With Overlapping Number And Weyl Algebras Ii, Ruma Dutta, Gabriela Popa, Aurel Stan
Journal of Stochastic Analysis
No abstract provided.
Engaging Students With High-Stakes Problems, Deepak Basyal
Engaging Students With High-Stakes Problems, Deepak Basyal
Mathematics and Statistics
Engaging students in meaningful mathematics problem-solving is the intention of many education stakeholders around the world. Research suggests that the implementation of high-stakes problems in mathematics teaching is one way to strengthen students’ conceptual understanding. Many carefully crafted open-ended problems constitute high-stakes problems, and proper use of such problems in teaching and learning not only encourages learners’ flexible thinking but also helps detect their misconceptions. However, what is less practiced and understood is: how exactly one should aim to implement such problems in a classroom setting. Teaching pre-service middle school teachers for a few years using high-stakes (mostly open-ended problems) …