University of New Mexico
University of Missouri-St. Louis
University of Nebraska-Lincoln
Trinity University
Southeastern University - Lakeland
Grand Valley State University
Minnesota State University Moorhead
Math 115: College Algebra For Pre-Calculus,
2023
CUNY Queens College
Math 115: College Algebra For Pre-Calculus, Seth Lehman
Open Educational Resources
OER course syllabus for Math 115, College Algebra, at Queens College
On The Second Case Of Fermat's Last Theorem Over Cyclotomic Fields,
2023
The Graduate Center, City University of New York
On The Second Case Of Fermat's Last Theorem Over Cyclotomic Fields, Owen Sweeney
Dissertations, Theses, and Capstone Projects
We obtain a new simpler sufficient condition for Kolyvagin's criteria, regarding the second case of Fermat's last theorem with prime exponent p over the p-th cyclotomic field, to hold. It covers cases when the existing simpler sufficient conditions do not hold and is important for the theoretical study of the criteria.
Stressor: An R Package For Benchmarking Machine Learning Models,
2023
Utah State University
Stressor: An R Package For Benchmarking Machine Learning Models, Samuel A. Haycock
All Graduate Theses and Dissertations
Many discipline specific researchers need a way to quickly compare the accuracy of their predictive models to other alternatives. However, many of these researchers are not experienced with multiple programming languages. Python has recently been the leader in machine learning functionality, which includes the PyCaret library that allows users to develop high-performing machine learning models with only a few lines of code. The goal of the stressor package is to help users of the R programming language access the advantages of PyCaret without having to learn Python. This allows the user to leverage R’s powerful data analysis workflows, while simultaneously …
Interpolation Problems And The Characterization Of The Hilbert Function,
2023
University of Arkansas, Fayetteville
Interpolation Problems And The Characterization Of The Hilbert Function, Bryant Xie
Mathematical Sciences Undergraduate Honors Theses
In mathematics, it is often useful to approximate the values of functions that are either too awkward and difficult to evaluate or not readily differentiable or integrable. To approximate its values, we attempt to replace such functions with more well-behaving examples such as polynomials or trigonometric functions. Over the algebraically closed field C, a polynomial passing through r distinct points with multiplicities m1, ..., mr on the affine complex line in one variable is determined by its zeros and the vanishing conditions up to its mi − 1 derivative for each point. A natural question would then be to consider …
Random Variables With Overlapping Number And Weyl Algebras Ii,
2023
Missouri State University, Springfield, MO 65897, U.S.A.
Random Variables With Overlapping Number And Weyl Algebras Ii, Ruma Dutta, Gabriela Popa, Aurel Stan
Journal of Stochastic Analysis
No abstract provided.
On Maximum Likelihood Estimators For A Jump-Type Affine Diffusion Two-Factor Model,
2023
University of Windsor
On Maximum Likelihood Estimators For A Jump-Type Affine Diffusion Two-Factor Model, Jiaming Yin Mr.
Major Papers
We consider a jump-type two-factor affine diffusion model driven by a subordinator in the context of continuous time observations. We study the asymptotic properties of the maximum likelihood estimator (MLE) for the drift parameters. In particular, we prove the strong consistency and the asymptotic normality of MLE in the subcritical case. We also present some numerical illustrations to confirm the theoretical results. The main difficulty of this major paper consists in proving the ergodicity of the model in the subcritical case and deriving the limiting behavior of the process.
Some Thoughts On The 3 × 3 Magic Square Of Squares Problem,
2023
Case Western Reserve University
Some Thoughts On The 3 × 3 Magic Square Of Squares Problem, Desmond Weisenberg
Rose-Hulman Undergraduate Mathematics Journal
A magic square is a square grid of numbers where each row, column, and long diagonal has the same sum (called the magic sum). An open problem popularized by Martin Gardner asks whether there exists a 3×3 magic square of distinct positive square numbers. In this paper, we expand on existing results about the prime factors of elements of such a square, and then provide a full list of the ways a prime factor could appear in one. We also suggest a separate possible computational approach based on the prime signature of the center entry of the square.
Computation Offloading Design For Deep Neural Network Inference On Iot Devices,
2023
Rowan University
Computation Offloading Design For Deep Neural Network Inference On Iot Devices, Asmika Boosarapu
Theses and Dissertations
In recent times, advances in the technologies of Internet-of-Things (IoT) and Deep Neural Networks (DNN) have significantly increased the accuracy and speed of a variety of smart applications. However, one of the barriers to deploying DNN to IoT is the computational limitations of IoT devices as compared with the computationally expensive task of DNN inference. Computation offloading is an approach that addresses this problem by offloading DNN computation tasks to cloud servers. In this thesis we propose a collaborative computation offloading solution, in which some of the work is done on the IoT device, and the remainder of the work …
Understanding The Beauty Of Mathematics By Composing Claude Debussy's Syrinx Into Mathematical Equations,
2023
Seattle Pacific University
Understanding The Beauty Of Mathematics By Composing Claude Debussy's Syrinx Into Mathematical Equations, Mackenzi Mehlberg
Honors Projects
Mesmerizing melodies and narrative storytelling are exemplified in Claude Debussy's Syrinx. As a well-known piece of solo flute literature, it is considered beautiful. Conversely, mathematics is seen as logical, and by implication not beautiful. Using Fourier Analysis, Syrinx can be represented in a different context: a series of mathematical equations. These mathematical equations can then be played as a different interpretation of Syrinx. With this interpretation, we see that mathematics is beautiful.
A Pebbling Game On Powers Of Paths,
2023
Lehigh University
A Pebbling Game On Powers Of Paths, Garth Isaak, Matthew Prudente, Joseph M. Marcinik Iii
Communications on Number Theory and Combinatorial Theory
Two Player Graph Pebbling is an extension of graph pebbling. Players Mover and Defender use pebbling moves, the act of removing two pebbles from one vertex and placing one pebble on an adjacent vertex, to win. If a specified vertex has a pebble on it, then Mover wins. If a specified vertex is pebble-free and there are no more valid pebbling moves, then Defender wins. The Two-Player Pebbling Number of a graph G, η(G), is the minimum m such that for every arrangement of m pebbles and for any specified vertex, Mover can win. We specify the …
Pairings In A Ring Spectrum-Based Bousfield-Kan Spectral Sequence,
2023
The Graduate Center, City University of New York
Pairings In A Ring Spectrum-Based Bousfield-Kan Spectral Sequence, Jonathan Toledo
Dissertations, Theses, and Capstone Projects
Bousfield and Kan traditionally formulated their homotopy spectral sequence over a simplicial set X resolved with respect to a ring R. By considering an adequate category of ring spectra, one can take a ring spectrum E, create from it a functor of a triple on the category of simplicial sets, and build a cosimplicial simplicial set EX. The homotopy spectral sequence can then be formed over such cosimplicial spaces by a similar construction to the original. Pairings can be established on these spectral sequences, and, for nice enough spaces, these pairings on the E2-terms coincide with certain …
Parasitic Gaps In Japanese: An Mg-Based Approach,
2023
Universität Leipzig
Parasitic Gaps In Japanese: An Mg-Based Approach, Yu Tomita, Hitomi Hirayama
Proceedings of the Society for Computation in Linguistics
This paper aims to provide an account based on Minimalist Grammar (MG) for what are called parasitic gaps in Japanese, which we take as a null pronoun. The main goal of this paper is to provide a syntactic account of the environment in which a parasitic gap reading is licensed in Japanese. First, Japanese parasitic gaps are compared with English ones, illustrating the puzzle to be solved. We argue that the possibility of co-indexing between a parasitic gap (null pronoun) and wh-phrase is correlated with the point at which the wh-phrase enters the derivation. We also show that scrambling counterbleeds …
An Algebraic Characterization Of Total Input Strictly Local Functions,
2023
Universite Jean Monnet
An Algebraic Characterization Of Total Input Strictly Local Functions, Dakotah Lambert, Jeffrey Heinz
Proceedings of the Society for Computation in Linguistics
This paper provides an algebraic characteriza- tion of the total input strictly local functions. Simultaneous, noniterative rules of the form A→B/C D, common in phonology, are defin- able as functions in this class whenever CAD represents a finite set of strings. The algebraic characterization highlights a fundamental con- nection between input strictly local functions and the simple class of definite string languages, as well as connections to string functions stud- ied in the computer science literature, the def- inite functions and local functions. No effec- tive decision procedure for the input strictly local maps was previously available, but one arises …
An Explicit Construction Of Sheaves In Context,
2023
The Graduate Center, City University of New York
An Explicit Construction Of Sheaves In Context, Tyler A. Bryson
Dissertations, Theses, and Capstone Projects
This document details the body of theory necessary to explicitly construct sheaves of sets on a site together with the development of supporting material necessary to connect sheaf theory with the wider mathematical contexts in which it is applied. Of particular interest is a novel presentation of the plus construction suitable for direct application to a site without first passing to the generated grothendieck topology.
Jones Polynomial Obstructions For Positivity Of Knots,
2023
Dartmouth College
Jones Polynomial Obstructions For Positivity Of Knots, Lizzie Buchanan
Dartmouth College Ph.D Dissertations
The fundamental problem in knot theory is distinguishing one knot from another. We accomplish this by looking at knot invariants. One such invariant is positivity. A knot is positive if it has a diagram in which all crossings are positive. A knot is almost-positive if it does not have a diagram where all crossings are positive, but it does have a diagram in which all but one crossings are positive. Given a knot with an almost-positive diagram, it is in general very hard to determine whether it might also have a positive diagram. This work provides positivity obstructions for three …
Abstract Algebra: An Inquiry-Based Approach, Second Edition, Supplemental Material,
2023
St. Edward's University
Abstract Algebra: An Inquiry-Based Approach, Second Edition, Supplemental Material, Jonathan K. Hodge, Steven Schlicker, Ted Sundstrom
Open Textbooks
This text is a supplement to Abstract Algebra: An Inquiry-Based Approach, Second Edition. It includes applications of algebra to RSA encryption, check digits, the games of NIM and the 15 Puzzle, and the determination of groups of small order. In addition, reference material that could be useful for some students appears in the appendices, such as background material on functions, methods of proof (including the equivalencies of the Well-Ordering Principle and different versions of mathematical induction), and complex roots of unity. The appendices also contain a complete proof that polynomial rings are rings, a proof of the Fundamental Theorem of …
(R2028) A Brief Note On Space Time Fractional Order Thermoelastic Response In A Layer,
2023
Shri Lemdeo Patil Mahavidyalaya,Mandhal
(R2028) A Brief Note On Space Time Fractional Order Thermoelastic Response In A Layer, Navneet Lamba, Jyoti Verma, Kishor Deshmukh
Applications and Applied Mathematics: An International Journal (AAM)
In this study, a one-dimensional layer of a solid is used to investigate the exact analytical solution of the heat conduction equation with space-time fractional order derivatives and to analyze its associated thermoelastic response using a quasi-static approach. The assumed thermoelastic problem was subjected to certain initial and boundary conditions at the initial and final ends of the layer. The memory effects and long-range interaction were discussed with the help of the Caputo-type fractional-order derivative and finite Riesz fractional derivative. Laplace transform and Fourier transform techniques for spatial coordinates were used to investigate the solution of the temperature distribution and …
(R2051) Analysis Of Map/Ph1, Ph2/2 Queueing Model With Working Breakdown, Repairs, Optional Service, And Balking,
2023
Puducherry Technological University
(R2051) Analysis Of Map/Ph1, Ph2/2 Queueing Model With Working Breakdown, Repairs, Optional Service, And Balking, G. Ayyappan, G. Archana
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a classical queueing system with two types of heterogeneous servers has been considered. The Markovian Arrival Process (MAP) is used for the customer arrival, while phase type distribution (PH) is applicable for the offering of service to customers as well as the repair time of servers. Optional service are provided by the servers to the unsatisfied customers. The server-2 may get breakdown during the busy period of any type of service. Though the server- 2 got breakdown, server-2 has a capacity to provide the service at a slower rate to the current customer who is receiving service …
(R1977) On Geometry Of Equiform Smarandache Ruled Surfaces Via Equiform Frame In Minkowski 3-Space,
2023
Imam Mohammad Ibn Saud Islamic University (IMSIU); Beni-Suef University
(R1977) On Geometry Of Equiform Smarandache Ruled Surfaces Via Equiform Frame In Minkowski 3-Space, Emad Solouma
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, some geometric properties of equiform Smarandache ruled surfaces in Minkowski space E13 using an equiform frame are investigated. Also, we give the sufficient conditions that make these surfaces are equiform developable and equiform minimal related to the equiform curvatures and when the equiform base curve contained in a plane or general helix. Finally, we provide an example, such as these surfaces.
(R1957) Some Types Of Continuous Function Via N-Neutrosophic Crisp Topological Spaces,
2023
Government Arts College (Autonomous)
(R1957) Some Types Of Continuous Function Via N-Neutrosophic Crisp Topological Spaces, A. Vadivel, C. John Sundar
Applications and Applied Mathematics: An International Journal (AAM)
The aim of this article is to introduced a new type of continuous functions such as N-neutrosophic crisp gamma continuous and weakly N-neutrosophic crisp gamma continuous functions in a N-neutrosophic crisp topological space and also discuss a relation between them in a N-neutrosophic crisp topological spaces. We also investigate some of their properties in N-neutrosophic crisp gamma continuous function via N-neutrosophic crisp topological spaces. Further, a contra part of continuity called N-neutrosophic crisp gamma-contra continuous map in a N-neutrosophic crisp topology is also initiated. Finally, an application based on neutrosophic score function of medical diagnosis is examined with graphical representation.
