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2019

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Articles 661 - 690 of 1389

Full-Text Articles in Mathematics

Student-Faculty Connection And Stem Identity In The Flipped Classroom, Adrian P. Gentle, William Wilding Mar 2019

Student-Faculty Connection And Stem Identity In The Flipped Classroom, Adrian P. Gentle, William Wilding

ASEE IL-IN Section Conference

Students who arrive at college intending to major in a STEM discipline are often required to complete a college-level precalculus course, despite evidence that these courses are not always successful in preparing students for calculus. The implementation of evidence-based teaching strategies, such as the flipped classroom, provides an avenue for improving the effectiveness of precalculus. This quasi-experimental study explores the effect of a flipped precalculus classroom on students' degree of connection with their instructor and other students, together with their sense of motivation and enjoyment of mathematics, which we treat as an indicator of a developing STEM identity. Validated survey …

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Monoidal Supercategories And Superadjunction, Dene Lepine Mar 2019

Monoidal Supercategories And Superadjunction, Dene Lepine

Rose-Hulman Undergraduate Mathematics Journal

We define the notion of superadjunction in the context of supercategories. In particular, we give definitions in terms of counit-unit superadjunctions and hom-space superadjunctions, and prove that these two definitions are equivalent. These results generalize well-known statements in the non-super setting. In the super setting, they formalize some notions that have recently appeared in the literature. We conclude with a brief discussion of superadjunction in the language of string diagrams.

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Strengthening Relationships Between Neural Ideals And Receptive Fields, Angelique Morvant Mar 2019

Strengthening Relationships Between Neural Ideals And Receptive Fields, Angelique Morvant

Rose-Hulman Undergraduate Mathematics Journal

Neural codes are collections of binary vectors that represent the firing patterns of neurons. The information given by a neural code C can be represented by its neural ideal JC. In turn, the polynomials in JC can be used to determine the relationships among the receptive fields of the neurons. In a paper by Curto et al., three such relationships, known as the Type 1-3 relations, were linked to the neural ideal by three if-and-only-if statements. Later, Garcia et al. discovered the Type 4-6 relations. These new relations differed from the first three in that they were …

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Triangle Packing On Tripartite Graphs Is Hard, Peter A. Bradshaw Mar 2019

Triangle Packing On Tripartite Graphs Is Hard, Peter A. Bradshaw

Rose-Hulman Undergraduate Mathematics Journal

The problem of finding a maximum matching on a bipartite graph is well-understood and can be solved using the augmenting path algorithm. However, the similar problem of finding a large set of vertex-disjoint triangles on tripartite graphs has not received much attention. In this paper, we define a set of vertex-disjoint triangles as a “tratching.” The problem of finding a tratching that covers all vertices of a tripartite graph can be shown to be NP-complete using a reduction from the three-dimensional matching problem. In this paper, however, we introduce a new construction that allows us to emulate Boolean circuits using …

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Graphs, Random Walks, And The Tower Of Hanoi, Stephanie Egler Mar 2019

Graphs, Random Walks, And The Tower Of Hanoi, Stephanie Egler

Rose-Hulman Undergraduate Mathematics Journal

The Tower of Hanoi puzzle with its disks and poles is familiar to students in mathematics and computing. Typically used as a classroom example of the important phenomenon of recursion, the puzzle has also been intensively studied its own right, using graph theory, probability, and other tools. The subject of this paper is “Hanoi graphs”, that is, graphs that portray all the possible arrangements of the puzzle, together with all the possible moves from one arrangement to another. These graphs are not only fascinating in their own right, but they shed considerable light on the nature of the puzzle itself. …

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Asymptotically Optimal Bounds For (𝑡,2) Broadcast Domination On Finite Grids, Timothy W. Randolph Mar 2019

Asymptotically Optimal Bounds For (𝑡,2) Broadcast Domination On Finite Grids, Timothy W. Randolph

Rose-Hulman Undergraduate Mathematics Journal

Let G = (V,E) be a graph and t,r be positive integers. The signal that a tower vertex T of signal strength t supplies to a vertex v is defined as sig(T, v) = max(t − dist(T,v),0), where dist(T,v) denotes the distance between the vertices v and T. In 2015 Blessing, Insko, Johnson, and Mauretour defined a (t, r) broadcast dominating set, or simply a (t, r) broadcast, on G as a set T ⊆ V such that the sum of all signal received at each vertex v ∈ V from the set of towers T …

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New Experimental Investigations For The 3𝑥+1 Problem: The Binary Projection Of The Collatz Map, Benjamin Bairrington, Aaron Okano Mar 2019

New Experimental Investigations For The 3𝑥+1 Problem: The Binary Projection Of The Collatz Map, Benjamin Bairrington, Aaron Okano

Rose-Hulman Undergraduate Mathematics Journal

The 3x + 1 Problem, or the Collatz Conjecture, was originally developed in the early 1930's. It has remained unsolved for over eighty years. Throughout its history, traditional methods of mathematical problem solving have only succeeded in proving heuristic properties of the mapping. Because the problem has proven to be so difficult to solve, many think it might be undecidable. In this paper we brie y follow the history of the 3x + 1 problem from its creation in the 1930's to the modern day. Its history is tied into the development of the Cosper Algorithm, which maps binary sequences …

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A Generalized Newton-Girard Identity, Tanay Wakhare Mar 2019

A Generalized Newton-Girard Identity, Tanay Wakhare

Rose-Hulman Undergraduate Mathematics Journal

We present a generalization of the Newton-Girard identities, along with some applications. As an addendum, we collect many evaluations of symmetric polynomials to which these identities apply.

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The Modern Methods Of Using Alternative Energy Sources, U. Mirzayev, J. T. Tulakov Jakhongir Turakul Ugl Mar 2019

The Modern Methods Of Using Alternative Energy Sources, U. Mirzayev, J. T. Tulakov Jakhongir Turakul Ugl

Central Asian Problems of Modern Science and Education

At present, much attention is paid to the use of solar energy. Solar energy, in addition to traditional energy, is ecologically clean while changing. The rarity and the rising cost of fuel is one of the main problems of the scientific technique, which is the acquisition of infinite resources of solar energy. Further research and experiments on the use of solar energy, as well as the use of solar power plants in a number of countries, shows that solar energy can be widely used today based on modern technical capacities

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Research Of Processes Of Implantation Of Ions In Monocrystal Gaas (001) On Purpose Increase In Efficiency Of Solar Elements, I. I. Khafizov, K. K. Gafforov Mar 2019

Research Of Processes Of Implantation Of Ions In Monocrystal Gaas (001) On Purpose Increase In Efficiency Of Solar Elements, I. I. Khafizov, K. K. Gafforov

Central Asian Problems of Modern Science and Education

On purpose increase efficiency of solar elements it has been investigated process of ionic implantation influencing the big number of the interconnected coefficients, most important of which is target orientation, a grade, initial energy and a corner of falling of primary particles

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Basic Parameters Of Physical Properties Of The Saline Soils In Roadside Of Highways, A. D. Kayumov Abdubaki Djalilovic, O.Z. Zafarov, N. D. Saidbaxromova Mar 2019

Basic Parameters Of Physical Properties Of The Saline Soils In Roadside Of Highways, A. D. Kayumov Abdubaki Djalilovic, O.Z. Zafarov, N. D. Saidbaxromova

Central Asian Problems of Modern Science and Education

This article provides information about the basic parameters of physical properties of the saline soils in roadside of highways, the key and rational indicators which are determined by the experiments and by calculating respectively in the evaluation of soil physical states, the density of solid particles, the basic parameters of density and moisture of the soil in natural condition

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The First Stages Of Communication Service Formation In Uzbekistan (In The Case Of Khorezm), I. S. Yusupov Mar 2019

The First Stages Of Communication Service Formation In Uzbekistan (In The Case Of Khorezm), I. S. Yusupov

Central Asian Problems of Modern Science and Education

This article describes the emergence and development of communication services in ancient times in Khorezm, northwest of Uzbekistan

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The Impact Of Automobile Tires On The Environment From The Period Of Raw Materials To The Disposal Of Them, K. G. Karimova Mar 2019

The Impact Of Automobile Tires On The Environment From The Period Of Raw Materials To The Disposal Of Them, K. G. Karimova

Central Asian Problems of Modern Science and Education

In this article, all stages on the life cycle of automobile tires and technical ISO standards are used to assess. One of the life cycle of the use of tires, this time allocated to chemical and mechanical connections. Developing countries account the amount of tires in the press and processing methods, as well as used tires on the environment and human health impact of information.

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Increase Of The Learning Efficiency On The Basis Of Structurization The Maintenance Of The Theme Of Algorithmization And Programming Linear Computing Processes, D. F. Yusupov Mar 2019

Increase Of The Learning Efficiency On The Basis Of Structurization The Maintenance Of The Theme Of Algorithmization And Programming Linear Computing Processes, D. F. Yusupov

Central Asian Problems of Modern Science and Education

The purpose of the study is to address the question of what should be a set of modern information and communication technologies in the teaching of 37 specific subjects on the basis of structuring the discipline that would ensure improvement of the quality of professional, targeted (industry based) education through the creation and implementation of complex software and teaching and teaching methodical

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Different Grouping Strategies For Cooperative Learning In English Majored Seniors And Juniors At Can Tho University, Vietnam, Hien Nhan, Thái Ahn Nhan Mar 2019

Different Grouping Strategies For Cooperative Learning In English Majored Seniors And Juniors At Can Tho University, Vietnam, Hien Nhan, Thái Ahn Nhan

Mathematics and Computer Science

We present research on the attitudes of seniors and juniors doing a major in English toward different grouping strategies for cooperative learning at Can Tho University, Can Tho city, Vietnam. The collected data is analyzed by a means of quantitative approach. The findings not only facilitate the further understanding of English majors’ opinions on different grouping strategies, but also provide teachers and lecturers who employ cooperative learning as one of their teaching strategies with useful clues on which group formation they should use. More importantly, we hope to give an insight to the characteristics of different grouping strategies, in order …

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Graph Formalisms And Technologies To Support To Systems Engineering Modeling And Analysis, Mil'yonta Williams Mar 2019

Graph Formalisms And Technologies To Support To Systems Engineering Modeling And Analysis, Mil'yonta Williams

Research Horizons Day Posters

No abstract provided.

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Unified Methods For Feature Selection In Large-Scale Genomic Studies With Censored Survival Outcomes, Lauren Spirko-Burns, Karthik Devarajan Mar 2019

Unified Methods For Feature Selection In Large-Scale Genomic Studies With Censored Survival Outcomes, Lauren Spirko-Burns, Karthik Devarajan

COBRA Preprint Series

One of the major goals in large-scale genomic studies is to identify genes with a prognostic impact on time-to-event outcomes which provide insight into the disease's process. With rapid developments in high-throughput genomic technologies in the past two decades, the scientific community is able to monitor the expression levels of tens of thousands of genes and proteins resulting in enormous data sets where the number of genomic features is far greater than the number of subjects. Methods based on univariate Cox regression are often used to select genomic features related to survival outcome; however, the Cox model assumes proportional hazards …

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Analytical Wave Solutions Of The Space Time Fractional Modified Regularized Long Wave Equation Involving The Conformable Fractional Derivative, M. Hafiz Uddin, Md. Ashrafuzzaman Khan, M. Ali Akbar, Md. Abdul Haque Mar 2019

Analytical Wave Solutions Of The Space Time Fractional Modified Regularized Long Wave Equation Involving The Conformable Fractional Derivative, M. Hafiz Uddin, Md. Ashrafuzzaman Khan, M. Ali Akbar, Md. Abdul Haque

Karbala International Journal of Modern Science

The space time fractional modified regularized long wave equation is a model equation to the gravitational water waves in the long-wave occupancy, shallow waters waves in coastal seas, the hydro-magnetic waves in cold plasma, the phonetic waves in dissident quartz and phonetic gravitational waves in contractible liquids. In nonlinear science and engineering, the mentioned equation is applied to analyze the one way tract of long waves in seas and harbors. In this study, the closed form traveling wave solutions to the above equation are evaluated due to conformable fractional derivatives through double (G'⁄G,1⁄G)-expansion method and the Exp-function method. The existence …

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Stochastic Modeling Reveals How Motor Protein And Filament Properties Affect Intermediate Filament Transport, J. C. Dallon, Cecil Leduc, Sandrine Etienne-Manneville, Stephanie Portet Mar 2019

Stochastic Modeling Reveals How Motor Protein And Filament Properties Affect Intermediate Filament Transport, J. C. Dallon, Cecil Leduc, Sandrine Etienne-Manneville, Stephanie Portet

Faculty Publications

Intermediate filaments are a key component of the cytoskeleton. Their trans- port along microtubules plays an essential role in the control of the shape and structural organization of cells. To identify the key parameters responsible for the control of intermediate filament transport, we generated a model of elastic filament transport by microtubule-associated dynein and kinesin. The model is also applicable to the transport of any elastically-coupled cargoes. We inves- tigate the effect of filament properties such as number of motor binding sites, length, and elasticity on motion of filaments. Additionally, we consider the ef- fect of motor properties, i.e. off …

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The Knill Graph Dimension From The Minimum Clique Cover, Kassahun Betre, Evatt Salinger Mar 2019

The Knill Graph Dimension From The Minimum Clique Cover, Kassahun Betre, Evatt Salinger

Faculty Publications

In this paper we prove that the recursive (Knill) dimension of the join of two graphs has a simple formula in terms of the dimensions of the component graphs: dim(G1+G2)=1+dimG1+dimG2. We use this formula to derive an expression for the Knill dimension of a graph from its minimum clique cover. A corollary of the formula is that a graph made of the arbitrary union of complete graphs KN of the same order N will have dimension N−1. We finish by finding lower and upper bounds on the Knill dimension of a graph in terms of its clique number.

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Meanings, Dimensions, And Categories Of Mathematics Teacher Beliefs: A Navigation Through The Literature, Shashidhar Belbase Mar 2019

Meanings, Dimensions, And Categories Of Mathematics Teacher Beliefs: A Navigation Through The Literature, Shashidhar Belbase

All Works

This paper aimed to discuss the meanings, dimensions, and categories of teacher beliefs about teaching and learning mathematics. I reviewed the relevant literature about teacher beliefs in general, beliefs about mathematics, and beliefs about mathematics teaching and learning in particular. Based on the review of the literature, I outlined the meanings of teacher beliefs and conceptualized three dimensions of teacher beliefs "“ affective dimension, cognitive dimension, and pedagogical dimension. Then, I discussed three viewpoints to observe teacher beliefs "“ relational, institutional, and praxis lenses. I utilized these lenses to categorize belief constructs into three classes of beliefs about mathematics, teaching …

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Prediction Of Stress Increase At Ultimate In Unbonded Tendons Using Sparse Principal Component Analysis, Eric Mckinney, Minwoo Chang, Marc Maguire, Yan Sun Mar 2019

Prediction Of Stress Increase At Ultimate In Unbonded Tendons Using Sparse Principal Component Analysis, Eric Mckinney, Minwoo Chang, Marc Maguire, Yan Sun

Mathematics and Statistics Faculty Publications

While internal and external unbonded tendons are widely utilized in concrete structures, an analytical solution for the increase in unbonded tendon stress at ultimate strength, Δ������, is challenging due to the lack of bond between strand and concrete. Moreover, most analysis methods do not provide high correlation due to the limited available test data. The aim of this paper is to use advanced statistical techniques to develop a solution to the unbonded strand stress increase problem, which phenomenological models by themselves have done poorly. In this paper, Principal Component Analysis (PCA), and Sparse Principal Component Analysis (SPCA) are employed on …

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The Transition Matrix Between The Specht And Web Bases Is Unipotent With Additional Vanishing Entries, Heather M. Russell, Julianna S. Tymoczko Mar 2019

The Transition Matrix Between The Specht And Web Bases Is Unipotent With Additional Vanishing Entries, Heather M. Russell, Julianna S. Tymoczko

Mathematics Sciences: Faculty Publications

We compare two important bases of an irreducible representation of the symmetric group: the web basis and the Specht basis. The web basis has its roots in the Temperley-Lieb algebra and knot-theoretic considerations. The Specht basis is a classic algebraic and combinatorial construction of symmetric group representations which arises in this context through the geometry of varieties called Springer fibers. We describe a graph that encapsulates combinatorial relations between each of these bases, prove that there is a unique way (up to scaling) to map the Specht basis into the web representation, and use this to recover a result of …

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Drones And “Ghost Guns”: Unregulated Legal Space, Tori Bodine Mar 2019

Drones And “Ghost Guns”: Unregulated Legal Space, Tori Bodine

Research on Capitol Hill

Law enforcement agencies are fighting a two - pronged battle when it comes to emerging technologies: keeping up with new ways criminals are using technology and developing effective ways to combat these innovations, while balancing these challenges against preserving the individual liberties of law - abiding citizens. This conflict is especially apparent with regard to criminal use of commercial drones and the developing fringe market surrounding homemade untraceable firearms (“ghost guns”).

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Pascal's Triangle Modulo N And Its Applications To Efficient Computation Of Binomial Coefficients, Zachary Warneke Mar 2019

Pascal's Triangle Modulo N And Its Applications To Efficient Computation Of Binomial Coefficients, Zachary Warneke

Honors Program: Senior Projects (Public)

In this thesis, Pascal's Triangle modulo n will be explored for n prime and n a prime power. Using the results from the case when n is prime, a novel proof of Lucas' Theorem is given. Additionally, using both the results from the exploration of Pascal's Triangle here, as well as previous results, an efficient algorithm for computation of binomial coefficients modulo n (a choose b mod n) is described, and its time complexity is analyzed and compared to naive methods. In particular, the efficient algorithm runs in O(n log(a)) time (as opposed to …

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Soma-Axon Coupling Configurations That Enhance Neuronal Coincidence Detection, Joshua H. Goldwyn, M. W. H. Remme, J. Rinzel Mar 2019

Soma-Axon Coupling Configurations That Enhance Neuronal Coincidence Detection, Joshua H. Goldwyn, M. W. H. Remme, J. Rinzel

Mathematics & Statistics Faculty Works

Coincidence detector neurons transmit timing information by responding preferentially to concurrent synaptic inputs. Principal cells of the medial superior olive (MSO) in the mammalian auditory brainstem are superb coincidence detectors. They encode sound source location with high temporal precision, distinguishing submillisecond timing differences among inputs. We investigate computationally how dynamic coupling between the input region (soma and dendrite) and the spike-generating output region (axon and axon initial segment) can enhance coincidence detection in MSO neurons. To do this, we formulate a two-compartment neuron model and characterize extensively coincidence detection sensitivity throughout a parameter space of coupling configurations. We focus on …

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Solution Of The Kosha Problem For Ordinary Differential Equations By Implicit Different Methods, A Otarov Mar 2019

Solution Of The Kosha Problem For Ordinary Differential Equations By Implicit Different Methods, A Otarov

Karakalpak Scientific Journal

The paper deals with a boundary value problem for linear differential equations with a retarded argument and also algorithm-based solutions are given.

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Some Border Set Mathematical Problems For Differential Equations With Delayed Argument., O Kurbanbaev Mar 2019

Some Border Set Mathematical Problems For Differential Equations With Delayed Argument., O Kurbanbaev

Karakalpak Scientific Journal

The paper deals with a boundary value problem for linear differential equations with a retarded argument and also algorithm-based solutions are given.

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Computer Modeling Of Processes Of Variation Of Thin Plates Located In Electromagnetic Field, B Aytmuratov Mar 2019

Computer Modeling Of Processes Of Variation Of Thin Plates Located In Electromagnetic Field, B Aytmuratov

Karakalpak Scientific Journal

This article describes the development of an algorithm for calculating magnetoelastic thin plates with a complex shape based on a combination of the R-function methods of V. L. Rvachev and the Bubnov-Galerkin variation method that automates the process of oscillation of magnetoelastic thin plates with a complex shape. The problems of oscillations of magnetoelastic thin plates with a complex shape in the presence of an electromagnetic field are solved.

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Heterogeneous Boolean Networks With Two Totalistic Rules, Katherine Toh Mar 2019

Heterogeneous Boolean Networks With Two Totalistic Rules, Katherine Toh

UNO Student Research and Creative Activity Fair

Boolean Networks are being used to analyze models in biology, economics, social sciences, and many other areas. These models simplify the reality by assuming that each element in the network can take on only two possible values, such as ON and OFF. The node evolution is governed by its interaction with other nodes in its neighborhood, which is described mathematically by a Boolean function or rule. For simplicity reasons, many models assume that all nodes follow the same Boolean rule. However, real networks often use more than one Boolean rule and therefore are heterogeneous networks. Heterogeneous networks have not yet …

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