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Articles 1  30 of 27485
FullText Articles in Mathematics
Operations On Submodules With The Multiplicative And Quotient Properties, Jiekai Pang
Operations On Submodules With The Multiplicative And Quotient Properties, Jiekai Pang
Mathematics & Statistics ETDs
Inspired by the works of Petro, Epstein, Vassilev, and Morre, this thesis aims to study the generalized definitions of the semiprime operation, weakly prime operation, and standard closure operation on rings, that is, the multiplicative operation, weakly multiplicative operation, and standardly multiplicative operation on submodules. Then, we will use Matlis duality to induce the dual notions of these definitions on submodules of Matlisdualizable Artinian modules. In order to understand the dual notion of the standardly multiplicative operation, that is, the standardly quotient operation, we will classify the operations on the injective hull of residue field of the ring K[[x,y]]/(xy) which …
Shevtsov: Teaching Modeling To FirstYear Life Science Students: The Ucsc Experience, Martin H. Weissman
Shevtsov: Teaching Modeling To FirstYear Life Science Students: The Ucsc Experience, Martin H. Weissman
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Modeling Opioid Addiction In Hand Surgery Patients, Eli Goldwyn, Grace Bowman, Kathryn Montovan, Julie Blackwood
Modeling Opioid Addiction In Hand Surgery Patients, Eli Goldwyn, Grace Bowman, Kathryn Montovan, Julie Blackwood
Annual Symposium on Biomathematics and Ecology Education and Research
No abstract provided.
Using Academic Librarians And The Academic Library: Survey Results From Mathematics Faculty In United States And Canada, Elizabeth Novosel, Daniel G. Kipnis
Using Academic Librarians And The Academic Library: Survey Results From Mathematics Faculty In United States And Canada, Elizabeth Novosel, Daniel G. Kipnis
Libraries Scholarship
Presented at STEM Librarian South Conference, November 6, 2024
Despite our diligent outreach and relationshipbuilding efforts, certain groups of faculty within STEM disciplines remain hesitant to engage with academic librarians and utilize library resources. This challenge raises a critical question: How can librarians effectively support a department when faculty members are unresponsive?
Our research team, composed of three frustrated mathematics librarians and one mathematics faculty member, recognized the need for a fresh approach. Mathematics, a department known for its independence, has received limited attention in scholarly Library and Information Science (LIS) literature. To address this gap, we embarked on a …
Book V Of The Mathematical Collection Of Pappus Of Alexandria, Translated By John B. Little, Pappus Of Alexandria, John B. Little
Book V Of The Mathematical Collection Of Pappus Of Alexandria, Translated By John B. Little, Pappus Of Alexandria, John B. Little
Holy Cross Bookshelf
John B. Little is the translator.
Book V of the Mathematical Collection is addressed to a certain Megethion, about whom we know nothing else. From the context he may have been a student or patron of Pappus in Alexandria. In a heading at the start, Pappus says that the general theme will be comparisons between different geometric figures. The overall structure brings interesting relations and connections to the fore. The book opens with a very wellknown and charming discussion of how the importance of such comparisons can be seen by considering the structures built by nonhuman creatures such as bees. …
Algebraic Structures On Parallelizable Manifolds, Sergey Grigorian
Algebraic Structures On Parallelizable Manifolds, Sergey Grigorian
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
In this paper we explore algebraic and geometric structures that arise on parallelizable manifolds. Given a parallelizable manifold L , there exists a global trivialization of the tangent bundle, which defines a map ρ p : l ⟶ T p L for each point p ∈ L , where l is some vector space. This allows us to define a particular class of vector fields, known as fundamental vector fields, that correspond to each element of l . Furthermore, flows of these vector fields give rise to a product between elements of l and L , which in turn induces …
Pricing Variance Swaps For The Discrete BnS Model, Semere Gebresilasie
Pricing Variance Swaps For The Discrete BnS Model, Semere Gebresilasie
Journal of Stochastic Analysis
No abstract provided.
A Phenomenological Study Of Persistence For Black Women In Mathematics Doctoral Programs, Shushannah Marie Smith
A Phenomenological Study Of Persistence For Black Women In Mathematics Doctoral Programs, Shushannah Marie Smith
Doctoral Dissertations and Projects
The purpose of this phenomenological study was to describe the doctoral persistence experiences of Black women mathematicians. Guided by McGee’s fragile and robust mathematical identity framework, the research design followed Moustakas’ qualitative transcendental phenomenological approach. The researcher explored the contributing factors to the phenomenon guided by the central research question, “What are the doctoral persistence experiences of Black women mathematicians?” The study involved 11 Black women participants who hold or were within one year of holding a doctoral degree in mathematics and were selected to ensure diversity and representativeness. Data collection encompassed three methods: a mathematical identity development timeline, oneonone …
Uniqueness Of Maximum Points Of A Sequence Of Functions Arising From An Adapted Algorithm For ‘The Secretary Problem’, Boning Wang, Giang Vu Thanh Nguyen
Uniqueness Of Maximum Points Of A Sequence Of Functions Arising From An Adapted Algorithm For ‘The Secretary Problem’, Boning Wang, Giang Vu Thanh Nguyen
OUR Journal: ODU Undergraduate Research Journal
This paper is aimed at a sequence of functions that is extended from an adaptive algorithm of the classical ‘secretary problem’. It was proved in Nguyen et al. (2024) the uniqueness of maximizers of a function sequence that represents the expected score of an element in a ‘candidate’ sequence. This function sequence is indeed considered as a special case of an extended function sequence that corresponds to the case α = 0. More specifically, we are motivated to prove the uniqueness of maximizers for this extended function sequence in the case α = 1. Nevertheless, the corresponding proof is rather …
Scaled Global Operators And Fueter Variables On NonZero Scaled Hypercomplex Numbers, Daniel Alpay, Ilwoo Choo, Mihaela Vajiac
Scaled Global Operators And Fueter Variables On NonZero Scaled Hypercomplex Numbers, Daniel Alpay, Ilwoo Choo, Mihaela Vajiac
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper we describe the rise of global operators in the scaled quaternionic case, an important extension from the quaternionic case to the family of scaled hypercomplex numbers H_{t}, t ∈ R^{∗} , of which the H_{−1} = H is the space of quaternions and H_{1} is the space of split quaternions.We also describe the scaled Fuetertype variables associated to these operators, developing a coherent theory in this field. We use these types of variables to build different types of function spaces on H_{t}. Counterparts of the Hardy space and of the …
Counting The Classes Of ProjectivelyEquivalent Pentagons On Finite Projective Planes Of Prime Order, Maxwell Hosler
Counting The Classes Of ProjectivelyEquivalent Pentagons On Finite Projective Planes Of Prime Order, Maxwell Hosler
RoseHulman Undergraduate Mathematics Journal
In this paper, we examine the number of equivalence classes of pentagons on finite projective planes of prime order under projective transformations. We are interested in those pentagons in general position, meaning that no three vertices are collinear. We consider those planes which can be constructed from finite fields of prime order, and use algebraic techniques to characterize them by their symmetries. We are able to construct a unique representative for each pentagon class with nontrivial symmetries. We can then leverage this fact to count classes of pentagons in general. We discover that there are (1/10)((p+3)(p3)+4 …
Nano Topology And Decision Making In Medical Applications, Samir Mukhtar, Mohamed Shokry, Manar Omran
Nano Topology And Decision Making In Medical Applications, Samir Mukhtar, Mohamed Shokry, Manar Omran
Journal of Engineering Research
Nano Topology is one of the essential topics that receive special attention from some athletes in the field of General Topology, Operations Research, and Computer Science, because it has a vital role in the generalizing most of the various mathematical concepts. Recently, many efforts have been made to study many types of Nano Topology, as the previous studies lacked real applications in Engineering, Medicine, Pharmacy, and Social Sciences. In this paper, we present some different applications of these studies. The paper is divided into two parts: Firstly, we study the theory of The Nano Topology and investigate its relation with …
New Operation Defined Over DualHesitant Fuzzy Set And Its Application In Diagnostics In Medicine, Manar Mohamed Omran, Reham AbdelAziz AboKhadra
New Operation Defined Over DualHesitant Fuzzy Set And Its Application In Diagnostics In Medicine, Manar Mohamed Omran, Reham AbdelAziz AboKhadra
Journal of Engineering Research
In recent decades, several types of sets, such as fuzzy sets, intervalvalued fuzzy sets, intuitionistic fuzzy sets, intervalvalued intuitionistic fuzzy sets, type 2 fuzzy sets, type n fuzzy sets, and hesitant fuzzy sets, have been introduced and investigated widely. In this paper, we propose dual hesitant fuzzy sets (DHFSs), which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multisets as special cases. Then we investigate the basic operations and properties of DHFSs. We also discuss the relationships among the sets mentioned above, and then propose an extension principle of DHFSs. Additionally, we give an example to illustrate …
DecisionMaking In Diagnosing Heart Failure Problems Using Dual Hesitant Fuzzy Sets, Manar Mohamed Omran, Reham AbdelAziz AboKhadra
DecisionMaking In Diagnosing Heart Failure Problems Using Dual Hesitant Fuzzy Sets, Manar Mohamed Omran, Reham AbdelAziz AboKhadra
Journal of Engineering Research
In recent decades, several types of sets, such as fuzzy sets, intervalvalued fuzzy sets, intuitionistic fuzzy sets, intervalvalued intuitionistic fuzzy sets, type 2 fuzzy sets, type n fuzzy sets, and hesitant fuzzy sets, have been introduced and investigated widely. In this paper, we propose dual hesitant fuzzy sets (DHFSs), which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multisets as special cases. Then we investigate the basic operations and properties of DHFSs. We also discuss the relationships among the sets mentioned above, and then propose an extension principle of DHFSs. Additionally, we give an example to illustrate …
Discrete Time Series Forecasting Of Hive Weight, InHive Temperature, And Hive Entrance Traffic In NonInvasive Monitoring Of Managed Honey Bee Colonies: Part I, Vladimir A. Kulyukin, Daniel Coster, Aleksey V. Kulyukin, William Meikle, Milagra Weiss
Discrete Time Series Forecasting Of Hive Weight, InHive Temperature, And Hive Entrance Traffic In NonInvasive Monitoring Of Managed Honey Bee Colonies: Part I, Vladimir A. Kulyukin, Daniel Coster, Aleksey V. Kulyukin, William Meikle, Milagra Weiss
Computer Science Faculty and Staff Publications
From June to October, 2022, we recorded the weight, the internal temperature, and the hive entrance video traffic of ten managed honey bee (Apis mellifera) colonies at a research apiary of the Carl Hayden Bee Research Center in Tucson, AZ, USA. The weight and temperature were recorded every five minutes around the clock. The 30 s videos were recorded every five minutes daily from 7:00 to 20:55. We curated the collected data into a dataset of 758,703 records (208,760–weight; 322,570–temperature; 155,373–video). A principal objective of Part I of our investigation was to use the curated dataset to investigate …
(Si1307) Optimal Range For Value Of TwoPerson ZeroSum Game Models With Uncertain Payoffs, Sana Afreen, Ajay Kumar Bhurjee
(Si1307) Optimal Range For Value Of TwoPerson ZeroSum Game Models With Uncertain Payoffs, Sana Afreen, Ajay Kumar Bhurjee
Applications and Applied Mathematics: An International Journal (AAM)
Game theory deals with the decisionmaking of individuals in conflicting situations with known payoffs. However, these payoffs are imprecisely known, which means they have uncertainty due to vagueness in the data set of most realworld problems. Therefore, we consider a twoperson zerosum game model on a larger scale where the payoffs are imprecise and lie within a closed interval. We define the pure and mixed strategy as well as value for the game models. The proposed method computes the optimal range for the value of the game model using interval analysis. To derive some important results, we establish some lemmas …
(Si1306) Analysis Of Some Unified Integral Equations Of Fredholm Type Associated With Multivariable Incomplete H And IFunctions, Rahul Sharma, Vinod Gill, Naresh Kumar, Kanak Modi, Yudhveer Singh
(Si1306) Analysis Of Some Unified Integral Equations Of Fredholm Type Associated With Multivariable Incomplete H And IFunctions, Rahul Sharma, Vinod Gill, Naresh Kumar, Kanak Modi, Yudhveer Singh
Applications and Applied Mathematics: An International Journal (AAM)
In this research paper, we examine various effective methods for addressing the problem of solving Fredholmtype integral equations. Our investigation commences by applying the principles of fractional calculus theory. We employ series representations and products of multivariable incomplete Hfunctions and multivariable incomplete Ifunctions to solve these integrals. The outcomes derived from our analysis possess a general nature and hold the potential to yield numerous results.
Two Is Enough, But Three (Or More) Is Better: In Ai And Beyond, Olga Kosheleva, Vladik Kreinovich, Victor L. Timchenko, Yury P. Kondratenko
Two Is Enough, But Three (Or More) Is Better: In Ai And Beyond, Olga Kosheleva, Vladik Kreinovich, Victor L. Timchenko, Yury P. Kondratenko
Departmental Technical Reports (CS)
At present, the most successful AI technique is deep learning  the use of neural networks that consist of multiple layers. Interestingly, it is well known that neural networks with two data processing layers are sufficient  in the sense that they can approximate any function with any given accuracy. Because of this, until reasonably recently, researchers and practitioners used such networks. However, recently it turned out, somewhat unexpectedly, that using three or more data processing layers  i.e., using what is called deep learning  makes the neural networks much more efficient. In this paper, on numerous examples from …
The P Adic Schrödinger Equation And The TwoSlit Experiment In Quantum Mechanics, Wilson A. ZunigaGalindo
The P Adic Schrödinger Equation And The TwoSlit Experiment In Quantum Mechanics, Wilson A. ZunigaGalindo
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
pAdic quantum mechanics is constructed from the Diracvon Neumann axioms identifying quantum states with squareintegrable functions on the Ndimensional padic space, Q_{p}^{N}. This choice is equivalent to the hypothesis of the discreteness of the space. The time is assumed to be a real variable. pAdic quantum mechanics is the response to the question: what happens with the standard quantum mechanics if the space has a discrete nature? The time evolution of a quantum state is controlled by a nonlocal Schrödinger equation obtained from a padic heat equation by a temporal Wick rotation. This padic heat equation describes a particle performing …
Relative Equilibria Of Pinwheel Point Mass Systems In A Planar Gravitational Field, Ritwik Gaur
Relative Equilibria Of Pinwheel Point Mass Systems In A Planar Gravitational Field, Ritwik Gaur
RoseHulman Undergraduate Mathematics Journal
In this paper, we consider a planar case of the full twobody problem (F2BP) where one body is a pinwheel (four point masses connected via two perpendicular massless rods) and the other is a point mass. Relative equilibria (RE) are defined to be ordered pairs (r, θ) such that there exists a rotating reference frame under which the two bodies are in equilibrium when the distance between the point mass and the center of the pinwheel is r and the angle of the pinwheel within its orbit is θ. We prove that relative equilibria exist for …
A Preliminary Fuzzy Inference System For Predicting Atmospheric Ozone In An Intermountain Basin, John R. Lawson, Seth N. Lyman
A Preliminary Fuzzy Inference System For Predicting Atmospheric Ozone In An Intermountain Basin, John R. Lawson, Seth N. Lyman
Mathematics and Statistics Faculty Publications
High concentrations of ozone in the Uinta Basin, Utah, can occur after sufficient snowfall and a strong atmospheric anticyclone creates a persistent cold pool that traps emissions from oil and gas operations, where sustained photolysis of the precursors builds ozone to unhealthy concentrations. The basin's winterozone system is well understood by domain experts and supported by archives of atmospheric observations. Rules of the system can be formulated in natural language ("sufficient snowfall and high pressure leads to high ozone"), lending itself to analysis with a fuzzylogic inference system. This method encodes human expertise as machine intelligence in a more prescribed …
Fractional DerivativeBased Analysis Of The Heat Transfer Properties Of Fluid Flow Over A Contracting Permeable InfiniteLength Cylinder, Anas Saeb Alhasan
Fractional DerivativeBased Analysis Of The Heat Transfer Properties Of Fluid Flow Over A Contracting Permeable InfiniteLength Cylinder, Anas Saeb Alhasan
Thesis/ Dissertation Defenses
Understanding the complex interplay between the contracting behavior of the cylinder and the fluid flow dynamics has implications for the design of porous structures for heat exchange and filtration systems. In this study, we investigate the dynamics and thermal behavior of fluid flow past a contracting permeable infinite cylinder. First, we developed a mathematical model based on the NavierStokes equations to describe the fluid dynamics around the contracting permeable infinite cylinder. A new simple wellbehaved definition of fractional derivative called conformable fractional derivative introduced by authors Khalil et al. is employed to generalize the PDE’s of momentum and energy. The …
Hierarchical Neural Networks, PAdic Pdes, And Applications To Image Processing, Wilson A. ZunigaGalindo, B. A. ZambranoLuna, Baboucarr Dibba
Hierarchical Neural Networks, PAdic Pdes, And Applications To Image Processing, Wilson A. ZunigaGalindo, B. A. ZambranoLuna, Baboucarr Dibba
School of Mathematical and Statistical Sciences Faculty Publications and Presentations
The first goal of this article is to introduce a new type of padic reaction–diffusion cellular neural network with delay. We study the stability of these networks and provide numerical simulations of their responses. The second goal is to provide a quick review of the state of the art of padic cellular neural networks and their applications to image processing.
QRational Functions And Interpolation With Complete Nevanlinna–Pick Kernels, Daniel Alpay, Paula Cerejeiras, Uwe Kaehler, Baruch Schneider
QRational Functions And Interpolation With Complete Nevanlinna–Pick Kernels, Daniel Alpay, Paula Cerejeiras, Uwe Kaehler, Baruch Schneider
Mathematics, Physics, and Computer Science Faculty Articles and Research
In this paper we introduce the concept of matrixvalued qrational functions. In comparison to the classical case, we give different characterizations with principal emphasis on realizations and discuss algebraic manipulations. We also study the concept of Schur multipliers and complete Nevanlinna–Pick kernels in the context of qdeformed reproducing kernel Hilbert spaces and provide first applications in terms of an interpolation problem using Schur multipliers and complete Nevanlinna–Pick kernels.
Euler Archive Spotlight: Ed Sandifer's Influence, Erik Tou
Euler Archive Spotlight: Ed Sandifer's Influence, Erik Tou
Euleriana
The Euler Archive owes its existence to the work and enthusiasm of C. Edward Sandifer. In this issue, we give a history of Ed's work and influence on the creation and growth of the Euler Archive.
Translating Scientific Latin Texts With Artificial Intelligence: The Works Of Euler And Contemporaries, Sylvio R. Bistafa
Translating Scientific Latin Texts With Artificial Intelligence: The Works Of Euler And Contemporaries, Sylvio R. Bistafa
Euleriana
The major hindrance in the study of earlier scientific literature is the availability of Latin translations into modern languages. This is particularly true for the works of Euler who authored about 850 manuscripts and wrote a thousand letters and received back almost two thousand more. The translation of many of these manuscripts, books and letters have been published in various sources over the last two centuries, but many more have not yet appeared. Fortunately, nowadays, artificial intelligence (AI) translation can be used to circumvent the challenges of translating such substantial number of texts. To validate this tool, benchmark tests have …
On The Vibration Of Strings: An English Translation Of Leonhard Euler’S `Sur La Vibration Des Cordes' (E140), Reilly R. Fortune
On The Vibration Of Strings: An English Translation Of Leonhard Euler’S `Sur La Vibration Des Cordes' (E140), Reilly R. Fortune
Euleriana
We present an English translation of E140  'Sur la Vibration des cordes.'
About The Cases In Which The Formula X^4+Mxxyy+Y^4 Can Be Reduced To A Square, Georg Ehlers
About The Cases In Which The Formula X^4+Mxxyy+Y^4 Can Be Reduced To A Square, Georg Ehlers
Euleriana
Euler continues a previous study on the title Quartic (E696) with a new approach. His starting point here is the observation that, when the title Quartic is solved for m, the resulting fraction becomes an integer when z=ax^2y^2(x^2±y^2). He provides many quadratic forms for m that allow special solutions, and tables for m≤200. Even though the tables are known today to be incomplete, they allow an insight into the enormous amount of work that was needed for their compilation.
The interest in the title Quartic predates Euler, and the fact that he resumed the study indicates a …
Ed Sandifer: A Running Mathematician And Mathematical Runner, Rick Cleary
Ed Sandifer: A Running Mathematician And Mathematical Runner, Rick Cleary
Euleriana
Historian of mathematics C. Edward Sandifer was an outstanding marathon runner as well as a first rate mathematician. This note is a review of Prof. Sandifer's athletic successes, and a look at the attributes that he brought to both his professional and running careers.
How Ed Did It  A Memorial Conference To Honor Ed Sandifer, Lawrence D'Antonio
How Ed Did It  A Memorial Conference To Honor Ed Sandifer, Lawrence D'Antonio
Euleriana
I look back at the virtual conference from February 2023 that was organized to honor the memory of the historian of mathematics Ed Sandifer, who had died in August 2022. The program of the conference is given at the end of the article.