Mathematics Commons^™

The Application Of Synthetic Signals For Ecg Beat Classification, Elliot Morgan Brown

Theses and Dissertations

A brief overview of electrocardiogram (ECG) properties and the characteristics of various cardiac conditions is given. Two different models are used to generate synthetic ECG signals. Domain knowledge is used to create synthetic examples of 16 different heart beat types with these models. Other techniques for synthesizing ECG signals are explored. Various machine learning models with different combinations of real and synthetic data are used to classify individual heart beats. The performance of the different methods and models are compared, and synthetic data is shown to be useful in beat classification.

Algebraic Methods For Proving Geometric Theorems, Lynn Redman

Electronic Theses, Projects, and Dissertations

Algebraic geometry is the study of systems of polynomial equations in one or more variables. Thinking of polynomials as functions reveals a close connection between affine varieties, which are geometric structures, and ideals, which are algebraic objects. An affine variety is a collection of tuples that represents the solutions to a system of equations. An ideal is a special subset of a ring and is what provides the tools to prove geometric theorems algebraically. In this thesis, we establish that a variety depends on the ideal generated by its defining equations. The ability to change the basis of an ideal …

The Ace1 Electrical Impedance Tomography System For Thoracic Imaging, Michelle M. Mellenthin, Jennifer L. Mueller, Erick Dario Leon Bueno De Camargo, Fernando Silva De Moura, Talles Batista Rattis Santos, Raul Gonzales Lima, Sarah J. Hamilton, Peter A. Muller, Melody Alsaker

Mathematical and Statistical Science Faculty Research and Publications

The design and performance of the active complex electrode (ACE1) electrical impedance tomography system for single-ended phasic voltage measurements are presented. The design of the hardware and calibration procedures allows for reconstruction of conductivity and permittivity images. Phase measurement is achieved with the ACE1 active electrode circuit which measures the amplitude and phase of the voltage and the applied current at the location at which current is injected into the body. An evaluation of the system performance under typical operating conditions includes details of demodulation and calibration and an in-depth look at insightful metrics, such as signal-to-noise ratio variations during …

Dynamics Of The Family Lambda Tan Z^2, Santanu Nandi

Dissertations, Theses, and Capstone Projects

We prove some topological properties of the dynamical plane ($z$-plane) and a combinatorial structure of the parameter plane of a holomorphic family of meromorphic maps $\lambda \tan z^2$. In the dynamical plane, we prove that there is no Herman ring and the Julia set is a Cantor set for the map when the parameter is in the central capture component. Julia set is connected for the maps when the parameters are in other hyperbolic components. In the parameter plane, I prove that the capture components are simply connected and there are always four hyperbolic shell components attached to a virtual …

Hermitian Maass Lift For General Level, An Hoa Vu

Dissertations, Theses, and Capstone Projects

For an imaginary quadratic field $K$ of discriminant $-D$, let $\chi = \chi_K$ be the associated quadratic character. We will show that the space of special hermitian Jacobi forms of level $N$ is isomorphic to the space of plus forms of level $DN$ and nebentypus $\chi$ (the hermitian analogue of Kohnen's plus space) for any integer $N$ prime to $D$. This generalizes the results of Krieg from $N = 1$ to arbitrary level. Combining this isomorphism with the recent work of Berger and Klosin and a modification of Ikeda's construction we prove the existence of a lift from the space …

Zeta Functions Of Classical Groups And Class Two Nilpotent Groups, Fikreab Solomon Admasu

Dissertations, Theses, and Capstone Projects

This thesis is concerned with zeta functions and generating series associated with two families of groups that are intimately connected with each other: classical groups and class two nilpotent groups. Indeed, the zeta functions of classical groups count some special subgroups in class two nilpotent groups.

In the first chapter, we provide new expressions for the zeta functions of symplectic groups and even orthogonal groups in terms of the cotype zeta function of the integer lattice. In his paper on universal $p$-adic zeta functions, J. Igusa computed explicit formulae for the zeta functions of classical algebraic groups. These zeta functions …

Modest Automorphisms Of Presburger Arithmetic, Simon Heller

Dissertations, Theses, and Capstone Projects

It is interesting to consider whether a structure can be expanded by an automorphism so that one obtains a nice description of the expanded structure's first-order properties. In this dissertation, we study some such expansions of models of Presburger arithmetic. Building on some of the work of Harnik (1986) and Llewellyn-Jones (2001), in Chapter 2 we use a back-and-forth construction to obtain two automorphisms of sufficiently saturated models of Presburger arithmetic. These constructions are done first in the quotient of the Presburger structure by the integers (which is a divisible ordered abelian group with some added structure), and then lifted …

Shape Equations For Two-Dimensional Manifolds Through A Moving Frame Variational Approach, Paul Bracken

School of Mathematical & Statistical Sciences Faculty Publications

A variational approach is given which can be applied to functionals of a general form to determine a corresponding Euler–Lagrange or shape equation. It is the intention to formulate the theory in detail based on a moving frame approach. It is then applied to a functional of a general form which depends on both the mean and Gaussian curvatures as well as the area and volume elements of the manifold. Only the case of a two-dimensional closed manifold is considered. The first variation of the functional is calculated in terms of the variations of the basic variables of the manifold. …

A Harmless Wireless Quantum Alternative To Cell Phones Based On Quantum Noise, Florentin Smarandache, Robert Neil Boyd, Victor Christianto

Branch Mathematics and Statistics Faculty and Staff Publications

In the meantime we know that 4G and 5G technologies cause many harms to human health. Therefore, here we submit a harmless wireless quantum alternative to cell phones. It is our hope that this alternative

Colored Complete Hypergraphs Containing No Rainbow Berge Triangles, Colton Magnant

Theory & Applications of Graphs

The study of graph Ramsey numbers within restricted colorings, in particular forbidding a rainbow triangle, has recently been blossoming under the name Gallai-Ramsey numbers. In this work, we extend the main structural tool from rainbow triangle free colorings of complete graphs to rainbow Berge triangle free colorings of hypergraphs. In doing so, some other concepts and results are also translated from graphs to hypergraphs.

(0,1)-Matrices, Discrepancy And Preservers, Leroy B. Beasley

Mathematics and Statistics Faculty Publications

Let m and n be positive integers, and let R = (r₁, . . . , r_m) and S = (s₁, . . . , s_n) be nonnegative integral vectors. Let A(R,S) be the set of all m × n (0, 1)-matrices with row sum vector R and column vector S. Let R and S be nonincreasing, and let F(R) be the m × n (0, 1)-matrix, where for each i, the ith row of F(R, …

Solving Differential Matrix Equations For Surface With Respect To Action Of Group Of Lorence, U. Bekbayeva, K. Muminov

Scientific journal of the Fergana State University

In The artlcle a description is given for the system of differential matrix equations, the solutions of which regenerate the class of surfaces in 4 – dimensional space, which are equivalent with respect to the action of group - O(3,1).

Tricomi Type Problem For Mixed Type Equation With Sub-Diffusion And Wave Equation, E. Karimov, S. Kerbal

Scientific journal of the Fergana State University

In this paper, we have considered a Tricomi type problem for mixed type equation with Hilfer’s double order derivative sub-diffusion equation and classical wave equation in a composite domain. Main methods of the investigation are a method of integral equations and energy integrals’ method.

Formation Of Stochastic Competence In Mathematics Lessons, A. Yusupova, Z. Mukimova, Kh. Ibrokhimova

Scientific journal of the Fergana State University

This article presents methods for the formation of student stochastic competence.

Solving Differential Matrix Equations For Surface With Respect To Action Of Group Of Lorence, U. Bekbayeva, K. Muminov

Scientific journal of the Fergana State University

In The artlcle a description is given for the system of differential matrix equations, the solutions of which regenerate the class of surfaces in 4 – dimensional space, which are equivalent with respect to the action of group - O(3,1).

Tricomi Type Problem For Mixed Type Equation With Sub-Diffusion And Wave Equation, E. Karimov, S. Kerbal

Scientific journal of the Fergana State University

In this paper, we have considered a Tricomi type problem for mixed type equation with Hilfer’s double order derivative sub-diffusion equation and classical wave equation in a composite domain. Main methods of the investigation are a method of integral equations and energy integrals’ method.

Formation Of Stochastic Competence In Mathematics Lessons, A. Yusupova, Z. Mukimova, Kh. Ibrokhimova

Scientific journal of the Fergana State University

This article presents methods for the formation of student stochastic competence.

“A Thousand Words”: How Shannon Entropy Perspective Provides Link Among Exponential Data Growth, Average Temperature Of The Earth, Declining Earth Magnetic Field, And Global Consciousness, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The sunspot data seems to indicate that the Sun is likely to enter Maunder Minimum, then it will mean that low Sun activity may cause low temperature in Earth. If this happens then it will cause a phenomenon which is called by some climatology experts as “The Little Ice Age” for the next 20-30 years, starting from the next few years. Therefore, the Earth climate in the coming years tend to be cooler than before. This phenomenon then causes us to ask: what can we do as human being in Earth to postpone or avoid the worsening situation in terms …

Modeling The Defects That Exists In Crystalline Structures, Kiet A. Tran

REU Final Reports

This paper focuses on modeling defects in crystalline materials in one-dimension using field dislocation mechanics (FDM). Predicting plastic deformation in crystalline materials on a microscopic scale allows for the understanding of the mechanical behavior of micron-sized components. Following Das et al (2013), a one dimensional reduction of the FDM model is implemented using Discontinuous Galerkin method and the results are compared with those obtained from the finite difference implementation. Test cases with different initial conditions on the position and distribution of screw dislocations are considered.

The History Of Mathematics: A Source-Based Approach, Volume 1 (Book Review), Calvin Jongsma

Faculty Work Comprehensive List

Reviewed Title: The History of Mathematics: A Source-based Approach, Volume 1 by June Barrow-Green, Jeremy Gray, and Robin Wilson. Providence : American Mathematical Society, 2019. 488 pp. ISBN: 9781470443528.

Local And Global Color Symmetries Of A Symmetrical Pattern, Ma. Louise Antonette N. De Las Peñas, Agatha Kristel Abila, Eduard C. Taganap

Mathematics Faculty Publications

This study addresses the problem of arriving at transitive perfect colorings of a symmetrical pattern P consisting of disjoint congruent symmetric motifs. The pattern P has local symmetries that are not necessarily contained in its global symmetry group G. The usual approach in color symmetry theory is to arrive at perfect colorings of P ignoring local symmetries and considering only elements of G. A framework is presented to systematically arrive at what Roth [Geom. Dedicata (1984), 17, 99–108] defined as a coordinated coloring of P, a coloring that is perfect and transitive under G, satisfying the condition that the coloring …

A Comparative Study On Port Integration In Different Areas In China, Jiaqi Li

World Maritime University Dissertations

No abstract provided.

Study On The Port Classification Of 21st Century Maritime Silk Road West Line, Jiawen Wang

World Maritime University Dissertations

No abstract provided.

Comparative Analysis Of International Bulk Freight Index, Wenbo Gu

World Maritime University Dissertations

No abstract provided.

The Impact Of Lng Shipping Market From China New Emission Policy, Hong Huang

World Maritime University Dissertations

No abstract provided.

Analysis Of The Influence Of Ningbo-Zhoushan Port Development On Regional Economy, Manxi Li

World Maritime University Dissertations

No abstract provided.

Correlation Analysis Between Container Shipping Market And Sino-Us Trade Under The China-Us Trade Conflict, Changqing Lu

World Maritime University Dissertations

No abstract provided.

The Impact Of Sino-Us Trade Conflict On International Dry Bulk Shipping Market, Yuefeng Lyu

World Maritime University Dissertations

No abstract provided.

Research On The Value Estimation Of Ship Optional Orders, Zhili Zhang

World Maritime University Dissertations

No abstract provided.

From The Signature Theorem To Anomaly Cancellation, Andreas Malmendier, Michael T. Schultz

Mathematics and Statistics Faculty Publications

We survey the Hirzebruch signature theorem as a special case of the Atiyah–Singer index theorem. The family version of the Atiyah–Singer index theorem in the form of the Riemann–Roch–Grothendieck–Quillen (RRGQ) formula is then applied to the complexified signature operators varying along the universal family of elliptic curves. The RRGQ formula allows us to determine a generalized cohomology class on the base of the elliptic fibration that is known in physics as (a measure of) the local and global anomaly. Combining several anomalous operators allows us to cancel the local anomaly on a Jacobian elliptic surface, a construction that is based …