Approximation Dynamics,
2019
Missouri University of Science and Technology
Approximation Dynamics, Ethan Akin
Mathematics and Statistics Faculty Research & Creative Works
We describe the approximation of a continuous dynamical system on a p.l. manifold or Cantor set by a tractable system. A system is tractable when it has a finite number of chain components and, with respect to a given full background measure, almost every point is generic for one of a finite number of ergodic invariant measures. The approximations we use are non-degenerate simplicial dynamical systems for p.l. manifolds and shift-like dynamical systems for Cantor Sets.
New Foundation In The Sciences: Physics Without Sweeping Infinities Under The Rug,
2019
University of New Mexico
New Foundation In The Sciences: Physics Without Sweeping Infinities Under The Rug, Florentin Smarandache, Victor Christianto, Robert Neil Boyd
Branch Mathematics and Statistics Faculty and Staff Publications
It is widely known among the Frontiers of physics, that “sweeping under the rug” practice has been quite the norm rather than exception. In other words, the leading paradigms have strong tendency to be hailed as the only game in town. For example, renormalization group theory was hailed as cure in order to solve infinity problem in QED theory. For instance, a quote from Richard Feynman goes as follows: “What the three Nobel Prize winners did, in the words of Feynman, was "to get rid of the infinities in the calculations. The infinities are still there, but now they can …
A Space For Learning: An Analysis Of Research On Active Learning Spaces,
2019
Grand Valley State University
A Space For Learning: An Analysis Of Research On Active Learning Spaces, Robert Talbert, Anat Mor-Avi
Open Access Publishing Support Funded Articles
Active Learning Classrooms (ALCs) are learning spaces specially designed to optimize the practice of active learning and amplify its positive effects in learners from young children through university-level learners. As interest in and adoption of ALCs has increased rapidly over the last decade, the need for grounded research in their effects on learners and schools has grown proportionately. In this paper, we review the peer-reviewed published research on ALCs, dating back to the introduction of “studio” classrooms and the SCALE-UP program up to the present day. We investigate the literature and summarize findings on the effects of ALCs on learning …
Liutex Analysis By Pod And Dmd For Vortex Formations In Boundary Layer Transition,
2019
University of Texas at Arlington
Liutex Analysis By Pod And Dmd For Vortex Formations In Boundary Layer Transition, Sita Charkrit
Mathematics Dissertations - Archive
Vortices are considered as the building blocks of turbulent flows. To study how one type of vortex becomes another type especially in flow transition is one way to get better understanding about turbulence. In this dissertation, two types of vortex formations, i.e., the hairpin vortex formation and the formation of vortex structure from symmetry to asymmetry, are studied by the direct numerical simulation. According to Liu et al. (2019), Liutex has been proposed as a new physical quantity with scalar, vector and tensor forms. A Liutex vector is defined as a rotation part of fluid motion without shear contamination. The …
Mathematical Modeling Of A Network Of Neurons Regarding Glucose Transport Deficiency Induced Epileptic Seizures,
2019
University of Texas at Arlington
Mathematical Modeling Of A Network Of Neurons Regarding Glucose Transport Deficiency Induced Epileptic Seizures, Ariel N. Leslie
Mathematics Dissertations - Archive
Epilepsy is a complex phenomena of a system of neurons simultaneously firing that are highly intensive and synchronized. Seizures are a common and well known physical feature for all types of epileptic disorders [8]. Epilepsy is known to be traced back to spatial and temporal patterns working in sequence. The rhythms, patterns, and oscillatory dynamics explain the mechanistic nature of neurons especially in absence seizures [37]. An electroencephalogram device (EEG) monitors the electrical activity within the brain using small electrodes, which measures voltage fluctuations on the scalp. Previous models such as Wilson-Cowan (1972) [34], introduced a model showing the dynamics …
Fibonacci And Lucas Identities From Toeplitz–Hessenberg Matrices,
2019
Vasyl Stefanyk Precarpathian National University
Fibonacci And Lucas Identities From Toeplitz–Hessenberg Matrices, Taras Goy, Mark Shattuck
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we consider determinants for some families of Toeplitz–Hessenberg matrices having various translates of the Fibonacci and Lucas numbers for the nonzero entries. These determinant formulas may also be rewritten as identities involving sums of products of Fibonacci and Lucas numbers and multinomial coefficients. Combinatorial proofs are provided of several of the determinants which make use of sign-changing involutions and the definition of the determinant as a signed sum over the symmetric group. This leads to a common generalization of the Fibonacci and Lucas determinant formulas in terms of the so-called Gibonacci numbers.
Adjacent Vertex-Distinguishing Proper Edge-Coloring Of Strong Product Of Graphs,
2019
Annamalai University
Adjacent Vertex-Distinguishing Proper Edge-Coloring Of Strong Product Of Graphs, S. Anantharaman
Applications and Applied Mathematics: An International Journal (AAM)
Let G be a finite, simple, undirected and connected graph. The adjacent vertex-distinguishing proper edge-coloring is the minimum number of colors required for a proper edge-coloring of G, in which no two adjacent vertices are incident to edges colored with the same set of colors. The minimum number of colors required for an adjacent vertex-distinguishing proper edgecoloring of G is called the adjacent vertex-distinguishing proper edge-chromatic index. In this paper, I compute adjacent vertex-distinguishing proper edge-chromatic index of strong product of graphs.
Hankel Rhotrices And Constructions Of Maximum Distance Separable Rhotrices Over Finite Fields,
2019
Himachal Pradesh University
Hankel Rhotrices And Constructions Of Maximum Distance Separable Rhotrices Over Finite Fields, P. L. Sharma, Arun Kumar, Shalini Gupta
Applications and Applied Mathematics: An International Journal (AAM)
Many block ciphers in cryptography use Maximum Distance Separable (MDS) matrices to strengthen the diffusion layer. Rhotrices are represented by coupled matrices. Therefore, use of rhotrices in the cryptographic ciphers doubled the security of the cryptosystem. We define Hankel rhotrix and further construct the maximum distance separable rhotrices over finite fields.
An Individual-Carcass Model For Quantifying Bacterial Cross-Contamination In An Industrial Three-Stage Poultry Scalding Tank,
2019
York University
An Individual-Carcass Model For Quantifying Bacterial Cross-Contamination In An Industrial Three-Stage Poultry Scalding Tank, Zachary Mccarthy, Ben Smith, Aamir Fazil, Shawn D. Ryan, Jianhong Wu, Daniel Munther
Mathematics and Statistics Faculty Publications
No abstract provided.
On Vibration Suppression And Trajectory Tracking In Largely Uncertain Torsional System: An Error-Based Adrc Approach,
2019
Southeast University
On Vibration Suppression And Trajectory Tracking In Largely Uncertain Torsional System: An Error-Based Adrc Approach, R. Madonski, M. Ramirez-Neria, M. Stankovic, Sally Shao, Zhiqiang Gao, J. Yang, S. Li
Mathematics and Statistics Faculty Publications
In this work, a practically relevant control problem of compensating harmonic uncertainties is tackled. The problem is formulated and solved here using an active disturbance rejection control (ADRC) methodology. A novel, custom ADRC structure is proposed that utilizes an innovative resonant extended state observer (RESO), dedicated to systems subjected to harmonic interferences. In order to make the introduced solution more industry-friendly, the entire observer-centered control topology is additionally restructured into one degree-of-freedom, compact, feedback error-based form (similar to ubiquitous in practice PID controller). Such reorganization enables a straightforward implementation and commission of the proposed technique in wide range of industrial …
On Ordered (P; Q)-Lateral Ideals In Ordered Ternary Semigroups,
2019
Jamia Millia Islamia
On Ordered (P; Q)-Lateral Ideals In Ordered Ternary Semigroups, Mohammad Y. Abbasi, Sabahat A. Khan, Akbar Ali
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we study some useful results of ordered (p; q)-lateral ideals in ordered ternary semigroups. Also, some properties of (p; q)-lateral simple ordered ternary semigroup have been examined. Further, we characterize the relationship between minimal (resp., maximal) ordered (p; q)- lateral ideals and (p; q)-lateral simple ordered ternary semigroups.
The Weak Hyperedge Tenacity Of The Hypercycles,
2019
University of Qom
The Weak Hyperedge Tenacity Of The Hypercycles, G. H. Shirdel, B. Vaez-Zadeh
Applications and Applied Mathematics: An International Journal (AAM)
Graphs play an important role in our daily life. For example, the urban transport network can be represented by a graph, as the intersections are the vertices and the streets are the edges of the graph. Suppose that some edges of the graph are removed, the question arises how damaged the graph is. There are some criteria for measuring the vulnerability of graph; the tenacity is the best criteria for measuring it. Since the hypergraph generalize the standard graph by defining any edge between multiple vertices instead of only two vertices, the above question is about the hypergraph. When a …
New Notions From (R; S)-Generalized Fuzzy E-Open Sets,
2019
Government Arts College (Autonomous), Karur
New Notions From (R; S)-Generalized Fuzzy E-Open Sets, A. Vadivel, P. Periyasamy, V. Chandrasekar, G. Saravanakumar
Applications and Applied Mathematics: An International Journal (AAM)
The present article discuss (r; s)-generalized fuzzy e-border, (r; s)-generalized fuzzy e-exterior and (r; s)-generalized fuzzy e-frontier in double fuzzy topologies. Furthermore, some characterizations of generalized double fuzzy e-continuous, generalized double fuzzy e-open, generalized double fuzzy e-closed and generalized double fuzzy e-closure-irresolute functions are studied and investigated. Moreover, the interrelations among the new concepts are discussed with some necessary examples.
Comparing Hecke Coefficients Of Automorphic Representations,
2019
Portland State University
Comparing Hecke Coefficients Of Automorphic Representations, Liubomir Chiriac, Andrei Jorza
Mathematics and Statistics Faculty Publications and Presentations
We prove a number of unconditional statistical results of the Hecke coefficients for unitary cuspidal representations of over number fields. Using partial bounds on the size of the Hecke coefficients, instances of Langlands functoriality, and properties of Rankin-Selberg -functions, we obtain bounds on the set of places where linear combinations of Hecke coefficients are negative. Under a mild functoriality assumption we extend these methods to . As an application, we obtain a result related to a question of Serre about the occurrence of large Hecke eigenvalues of Maass forms. Furthermore, in the cases where the Ramanujan conjecture is satisfied, we …
Digital Simulations For Grade 7 To 10 Mathematics,
2019
Ateneo de Manila University
Digital Simulations For Grade 7 To 10 Mathematics, Ma. Louise Antonette N. De Las Peñas, Debbie Marie Verzosa, Maria Alva Q. Aberin, Len Patrick Dominic M. Garces, Flordeliza F. Francisco, Evangeline P. Bautista, Mark Anthony C. Tolentino, Winfer C. Tabares
Mathematics Faculty Publications
This article describes a Department of Science and Technology – Philippine Council for Industry, Energy and Emerging Technology (DOST-PCIEERD) project aimed to facilitate the implementation of the mathematical objectives raised by the Department of Education’s (DepEd) K to 12 program in the Philippines through the use of innovative digital technologies. In particular, a selection of application software (“apps”) were created for Grade 7 to 10 mathematics that covered topics indicated in the five strands outlined in the K to 12 program – namely (1) number, (2) geometry, (3) measurement, (4) patterns and algebra, and (5) statistics and probability. The design …
Hybrid Recommender Systems Via Spectral Learning And A Random Forest,
2019
East Tennessee State University
Hybrid Recommender Systems Via Spectral Learning And A Random Forest, Alyssa Williams
Electronic Theses and Dissertations
We demonstrate spectral learning can be combined with a random forest classifier to produce a hybrid recommender system capable of incorporating meta information. Spectral learning is supervised learning in which data is in the form of one or more networks. Responses are predicted from features obtained from the eigenvector decomposition of matrix representations of the networks. Spectral learning is based on the highest weight eigenvectors of natural Markov chain representations. A random forest is an ensemble technique for supervised learning whose internal predictive model can be interpreted as a nearest neighbor network. A hybrid recommender can be constructed by first …
Rank Reduction Of String C-Group Representations,
2019
Bucknell University
Rank Reduction Of String C-Group Representations, Peter A. Brooksbank, Dimitri Leemans
Faculty Journal Articles
We show that a rank reduction technique for string C-group representations first used in [Adv. Math. 228 (2018), pp. 3207–3222] for the symmetric groups generalizes to arbitrary settings. The technique permits us, among other things, to prove that orthogonal groups defined on d-dimensional modules over fields of even order greater than 2 possess string C-group representations of all ranks. The broad applicability of the rank reduction technique provides fresh impetus to construct, for suitable families of groups, string C-groups of highest possible rank. It also suggests that the alternating group Alt(11)—the only known group having “rank gaps”—is perhaps more unusual …
Testing Isomorphism Of Graded Algebras,
2019
Colorado State University - Fort Collins
Testing Isomorphism Of Graded Algebras, Peter A. Brooksbank, James B. Wilson, Eamonn A. O'Brien
Faculty Journal Articles
We present a new algorithm to decide isomorphism between finite graded algebras. For a broad class of nilpotent Lie algebras, we demonstrate that it runs in time polynomial in the order of the input algebras. We introduce heuristics that often dramatically improve the performance of the algorithm and report on an implementation in Magma.
Period Estimation And Denoising Families Of Nonuniformly Sampled Time Series,
2019
East Tennessee State University
Period Estimation And Denoising Families Of Nonuniformly Sampled Time Series, William Seguine
Electronic Theses and Dissertations
Nonuniformly sampled time series are common in astronomy, finance, and other areas of research. Commonly, these time series belong to a family of signals recorded from the same phenomenon. Period estimation and denoising of such data relies on periodograms. In particular, the Lomb-Scargle periodogram and its extension, the Multiband Lomb-Scargle, are at the forefront of time series period estimation. However, these methods are not without laws. This paper explores alternatives to the Lomb-Scargle and Multiband Lomb-Scargle. In particular, this thesis uses regularized least squares and the convolution theorem to introduce a spectral consensus model of a family of nonuniformly sampled …
United States Suicide Analysis: 1999-2016,
2019
University of Mississippi
United States Suicide Analysis: 1999-2016, Malynn Clark
Honors Theses
The purpose of this thesis is to create information visualizations surrounding suicide trends from 1999-2016 in the United States. The original data was obtained from the Centers for Disease Control and Prevention’s Compressed Mortality Database. This database permits users to download several fields of information regarding deaths for the years given. Using this information, many graphs below show trends and patterns for suicide. One notable trend includes the higher proportion of male to female suicides for all categories explored including: age group, race, and metro/nonmetro status. The goal is to bring awareness and understanding surrounding the suicide epidemic in the …
