Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons™

Open Access. Powered by Scholars. Published by Universities.®

Discipline
Institution
Keyword
Publication Year
Publication
Publication Type
File Type

Articles 150241 - 150270 of 294409

Full-Text Articles in Physical Sciences and Mathematics

Vertex Magic, Daisy Cunningham Jun 2016

Vertex Magic, Daisy Cunningham

Furman University Electronic Journal of Undergraduate Mathematics

This paper addresses labeling graphs in such a way that the sum of the vertex labels and incident edge labels are the same for every vertex. Bounds on this so-called magic number are found for cycle graphs. If a graph has an odd number of vertices, algorithms can be found to produce different magic-vertex graphs with the maximum and minimum magic number. Also, every cycle graph with an odd number of vertices can be made into a vertexmagic graph if the odd numbers or even numbers are placed on the vertices. Some interesting problems arise when one begins to look …

Go to article

Some Geometry Of H(RN), Christopher Frayer Jun 2016

Some Geometry Of H(RN), Christopher Frayer

Furman University Electronic Journal of Undergraduate Mathematics

If X is a complete metric space, the collection of all non-empty compact subsets of X forms a complete metric space (H(X), h), where h is the Hausdorff metric. In this paper we explore some of the geometry of the space H(Rn). Specifically, we concentrate on understanding lines in H(R). In particular, we show that for any two points A, B, ∈ H(Rn), there exist infinitely many points on the line joining A and B. We characterize some points on the lines formed using closed …

Go to article

Tiling By (K, N)-Crosses, Joanne Charlebois Jun 2016

Tiling By (K, N)-Crosses, Joanne Charlebois

Furman University Electronic Journal of Undergraduate Mathematics

We investigate lattice tilings of n-space by (k, n)-crosses, establishing necessary and sufficient conditions for tilings with certain small values of k. We give a necessary condition for tilings corresponding to nonsingular splittings with general values of k. We also prove one case of a conjecture made by Stein and Szabó in [4].

Go to article

Fourier And Wavelet Representations Of Functions, Nicholas G. Roland Jun 2016

Fourier And Wavelet Representations Of Functions, Nicholas G. Roland

Furman University Electronic Journal of Undergraduate Mathematics

Representations of functions are compared using the traditional technique of Fourier series with a more modern technique using wavelets. Under certain conditions, a function can be represented with a sum of sine and cosine functions. Such a representation is called a Fourier series. This classical method is used in applications such as storage of sound waves and visual images on a computer. One problem with this sum is that it is infinite. In use, only a finite number of terms can be used. More accuracy requires more terms in the series, but more terms require more time to compute and …

Go to article

A Lie Algebra Of Integrals For Keplerian Motion Restricted To The Plane, Jason Osborne Jun 2016

A Lie Algebra Of Integrals For Keplerian Motion Restricted To The Plane, Jason Osborne

Furman University Electronic Journal of Undergraduate Mathematics

In this paper we consider the slightly simpler problem of Keplerian motion restricted to the plane rather than Keplerian motion in three dimensions as done in [3, page 11]. We parallel the three-dimensional problem in that we use the same actions to find invariants (integrals) but rather than working in a six-dimensional phase space to find six independent integrals we restrict ourselves to a four-dimensional phase space. In doing this, we find that we have three independent integrals and thus we have a three-dimensional Lie algebra.

Go to article

Excellent Rings With Singleton Formal Fibers, Dan Lee, Leanne Leer, Shara A. Pilch, Yu Yasufuku Jun 2016

Excellent Rings With Singleton Formal Fibers, Dan Lee, Leanne Leer, Shara A. Pilch, Yu Yasufuku

Furman University Electronic Journal of Undergraduate Mathematics

In this paper we construct a non complete excellent local ring A such that the natural map Spec  → Spec A is bijective.

Go to article

Planar Double Bubbles On Flat Walls, G. Christopher Hruska, Dmitriy Leykekhman, Daniel Pinzon, Brian Shay Jun 2016

Planar Double Bubbles On Flat Walls, G. Christopher Hruska, Dmitriy Leykekhman, Daniel Pinzon, Brian Shay

Furman University Electronic Journal of Undergraduate Mathematics

In this paper, we investigate some properties of planar soap bubbles on a straight wall with a single corner. We show that when a wall has a single corner and a bubble consists of two connected regions, the perimeter minimizing bubble must be one of the types, two concentric circular arcs or a truncated standard double bubble, depending on the angle of the corner and areas of the regions.

Go to article

The Strong Shadowing Property On The Unit Interval, James O. Warren, Joseph H. Brown Jun 2016

The Strong Shadowing Property On The Unit Interval, James O. Warren, Joseph H. Brown

Furman University Electronic Journal of Undergraduate Mathematics

We study continuous maps of the unit interval into itself. We determine necessary and suffcient conditions so that all pseudo-orbits can be approximated by orbits with the same initial point.

Go to article

Quantifying Chaos In Dynamical Systems With Lyapunov Exponents, Michael Van Opstall Jun 2016

Quantifying Chaos In Dynamical Systems With Lyapunov Exponents, Michael Van Opstall

Furman University Electronic Journal of Undergraduate Mathematics

In this paper we analyze the dynamics of a four dimensional mechanical system which exhibits sensitive dependence on initial conditions. The aim of the paper is to introduce the basic ideas of chaos theory while assuming only a course in ordinary differential equations as a prerequisite.

Go to article

Divisability Tests, Apoorva Khare Jun 2016

Divisability Tests, Apoorva Khare

Furman University Electronic Journal of Undergraduate Mathematics

In this paper, we give a new method to test the divisibility of any positive integer by another. First, we outline the usual test, in which one proceeds from right to left, i.e. the direction opposite the one taken while carrying out long division. After pointing out some of the problems with this method, we give another method, which forms the core of this paper. This latter method works along the same lines as the earlier one, but here one proceeds from left to right. Examples of some well known divisibility tests for special divisors are given along with some …

Go to article

Maximum Matchings In Complete Multipartite Graphs, David Sitton Jun 2016

Maximum Matchings In Complete Multipartite Graphs, David Sitton

Furman University Electronic Journal of Undergraduate Mathematics

How many edges can there be in a maximum matching in a complete multipartite graph? Several cases where the answer is known are discussed, and then a new formula is given which answers this question.

Go to article

Compactifications Of Topological Spaces, Jay Blankespoor, John Krueger Jun 2016

Compactifications Of Topological Spaces, Jay Blankespoor, John Krueger

Furman University Electronic Journal of Undergraduate Mathematics

Given a locally compact, Hausdorff space, χ, there are several ways to compactify it. We examine two of these compactifications – the one-point compactification, X̌, and the Stone-Čech compactification, β(χ) – and give conditions which guarantee that X̌ ≠ β(χ). We also give new examples of topological spaces for which X̌ = β(χ).

Go to article

Conjugacy Classes Of Triple Products In Finite Groups, Emily Salvo, Kevin Hutson Jun 2016

Conjugacy Classes Of Triple Products In Finite Groups, Emily Salvo, Kevin Hutson

Furman University Electronic Journal of Undergraduate Mathematics

Let G be a finite group and let T1 be the number of times a triple (x, y, z) ∈ G3 binds X, where X = {xyz, xzy, yxz, yzx, zxy, zyx}, to one conjugacy class. Let T2 denote the number of times a triple G3 breaks X into two conjugacy classes. We have established the following results: i) the probability that a triple (x, y, z) ∈ D3n binds X to one contingency class is ≥ 5/8. ii) for groups such …

Go to article

The N-Extent Of S3(P,M), Paul Jung, Tucker Mcelroy, Jason Samuels Jun 2016

The N-Extent Of S3(P,M), Paul Jung, Tucker Mcelroy, Jason Samuels

Furman University Electronic Journal of Undergraduate Mathematics

In this paper we estimate xtn (S3 (p, m)), the n-extent of various lens spaces. We give numerical evidence for extending certain results of D. G. Yang [Duke Math. J., 74 (1994), 531-545.] to primes p between 11 and 37. We explain the implication of our results for the topology of 4-dimensional manifolds of positive sectional curvature with nontrivial isometric Zp-actions.

Go to article

Structure And Geochronology Of The White Fork Pluton, Southern Sierra Nevada, Ian Richard Mahaffey Jun 2016

Structure And Geochronology Of The White Fork Pluton, Southern Sierra Nevada, Ian Richard Mahaffey

Natural Resources Management and Environmental Sciences

The Sierra Nevada batholith represents an archetypal continental arc, although the style of deformation throughout the history of the arc is only poorly understood, in part due to the voluminous nature of Late Cretaceous magmatism that has overprinted earlier structures. The purpose of this study is to gain a better understanding of pre-Late Cretaceous deformation in the Sierra Nevada batholith through a structural and geochronological study of the Jurassic White Fork pluton. A Jurassic age for the White Fork pluton is indicated by its inclusion of numerous 148 Ma Independence dikes, and geochronology on the White Fork pluton is limited …

Go to article

An Example Of Persistent Microstructure In A Long Rain Event, A. R. Jameson, M. L. Larsen, A. B. Kostinski Jun 2016

An Example Of Persistent Microstructure In A Long Rain Event, A. R. Jameson, M. L. Larsen, A. B. Kostinski

Department of Physics Publications

A 2D video disdrometer (2DVD) probe was used to gather detailed drop measurements over a 770-min rain event. Accumulated totals of the rainfall and of the number of drops for each square centimeter showed persistent, significant correlated structures across the approximately 11 cm × 11 cm grid of the 2DVD. This is surprising because larger-scale studies suggest that the values in each square centimeter should be highly correlated with very little variation. Nevertheless, this correlation remains strikingly similar to what is observed at a coarser resolution, suggesting that it somehow scales with spatial resolution. However, because the correlation functions are …

Go to article

Ecosystem-Based Fisheries Management (Ebfm) Risk Assessment Of The Western Australian Silver-Lipped Pearl Oyster (Pinctada Maxima) Industry, K. L. Travaille, R. Jones, B Wise Jun 2016

Ecosystem-Based Fisheries Management (Ebfm) Risk Assessment Of The Western Australian Silver-Lipped Pearl Oyster (Pinctada Maxima) Industry, K. L. Travaille, R. Jones, B Wise

WA Marine Stewardship Council report series

This report provides a comprehensive overview of the Western Australian silver-lipped pearling (Pinctada maxima) industry and the outcomes from the 2015 ecological risk assessment of this industry. The P. maxima pearling industry has been operating in Western Australia since the 1880s, initially harvesting pearl oysters for mother-of-pearl production.

Go to article

Analysis Of A Parallel Machine Scheduling Problem With Sequence Dependent Setup Times And Job Availability Intervals, Ridvan Gedik, Chase Rainwater, Heather Nachtmann, Edward A. Pohl Jun 2016

Analysis Of A Parallel Machine Scheduling Problem With Sequence Dependent Setup Times And Job Availability Intervals, Ridvan Gedik, Chase Rainwater, Heather Nachtmann, Edward A. Pohl

Mechanical and Industrial Engineering Faculty Publications

In this study, we propose constraint programming (CP) model and logic-based Benders algorithms in order to make the best decisions for scheduling non-identical jobs with availability intervals and sequence dependent setup times on unrelated parallel machines in a fixed planning horizon. In this problem, each job has a profit, cost and must be assigned to at most one machine in such a way that total profit is maximized. In addition, the total cost has to be less than or equal to a budget level. Computational tests are performed on a real-life case study prepared in collaboration with the U.S. Army …

Go to article

Development And Implementation Of Problem-Based Chemistry Experiments For Engineering Students In A Multi-Disciplinary Course, Tiffany Hesser, Stephanie R. Bunyea Jun 2016

Development And Implementation Of Problem-Based Chemistry Experiments For Engineering Students In A Multi-Disciplinary Course, Tiffany Hesser, Stephanie R. Bunyea

Chemistry and Chemical Engineering Faculty Publications

This paper will describe the implementation and continuing development of five problem based laboratory experiments in a general chemistry course designed specifically for multiple disciplines of engineering students at the University of New Haven. The Problem Based Laboratory Experiments (PBLE) were developed to provide students with the opportunity to perform and develop experimental procedures working in interdisciplinary teams, while achieving a greater understanding of the role of chemistry in engineering fields. In each PBLE, students first complete a traditional chemistry experiment to gain an understanding of the chemical concepts and to become familiar with executing a written procedure with a …

Go to article

Comparing Local Constants Of Ordinary Elliptic Curves In Dihedral Extensions, Sunil Chetty Jun 2016

Comparing Local Constants Of Ordinary Elliptic Curves In Dihedral Extensions, Sunil Chetty

Mathematics Faculty Publications

We establish, for a substantial class of elliptic curves, that the arithmetic local constants introduced by Mazur and Rubin agree with quotients of analytic root numbers.

Go to article

Carbon And Energy Fluxes In Cropland Ecosystems: A Model-Data Comparison, Erandathie Lokupitiya, A. S. Denning, K. Schaefer, D. Ricciuto, R. Anderson, M. A. Arain, Colorado State University, A. G. Barr, G. Chen, J. M. Chen, P. Ciais, D. R. Cook, M. Dietze, M. El Maayar, M. Fischer, University Of Alberta, D. Hollinger, C. Izaurralde, A. Jain, C. Kucharik, Z. Li, S. Liu, L. Li, R. Matamala, P. Peylin, D. Price, S. W. Running, A. Sahoo, M. Sprintsin, Andrew Suyker, H. Tian, C. Tonitto, M. Torn, Hans Verbeeck, Shashi Verma, Y. Xue Jun 2016

Carbon And Energy Fluxes In Cropland Ecosystems: A Model-Data Comparison, Erandathie Lokupitiya, A. S. Denning, K. Schaefer, D. Ricciuto, R. Anderson, M. A. Arain, Colorado State University, A. G. Barr, G. Chen, J. M. Chen, P. Ciais, D. R. Cook, M. Dietze, M. El Maayar, M. Fischer, University Of Alberta, D. Hollinger, C. Izaurralde, A. Jain, C. Kucharik, Z. Li, S. Liu, L. Li, R. Matamala, P. Peylin, D. Price, S. W. Running, A. Sahoo, M. Sprintsin, Andrew Suyker, H. Tian, C. Tonitto, M. Torn, Hans Verbeeck, Shashi Verma, Y. Xue

School of Natural Resources: Faculty Publications

Croplands are highly productive ecosystems that contribute to land–atmosphere exchange of carbon, energy, and water during their short growing seasons. We evaluated and compared net ecosystem exchange (NEE), latent heat flux (LE), and sensible heat flux (H) simulated by a suite of ecosystem models at five agricultural eddy covariance flux tower sites in the central United States as part of the North American Carbon Program Site Synthesis project. Most of the models overestimated H and underestimated LE during the growing season, leading to overall higher Bowen ratios compared to the observations. Most models systematically under predicted NEE, especially at rain-fed …

Go to article

Habitat Selection Of Wild Turkeys In Burned Longleaf Pine Savannas, Andrew R. Little, Michael J. Chamberlain, L. Mike Conner, Robert J. Warren Jun 2016

Habitat Selection Of Wild Turkeys In Burned Longleaf Pine Savannas, Andrew R. Little, Michael J. Chamberlain, L. Mike Conner, Robert J. Warren

School of Natural Resources: Faculty Publications

Frequent prescribed fire (≤3 yr) and selective harvest of off-site hardwoods are the primary restoration and management tools for pine (Pinus spp.) savannas in the southeastern United States. However, a knowledge gap exists in our understanding of eastern wild turkey (Meleagris gallopavo silvestris) habitat selection in longleaf pine savannas and research is warranted to direct our future management decisions. Therefore, we investigated habitat selection of female turkeys in 2 longleaf pine savanna systems managed by frequent fire in southwestern Georgia during 2011–2013. We observed differential habitat selection across 2 scales (study area and seasonal area of use) …

Go to article

How Resilient Modulus Of A Pavement Depends On Moisture Level: Towards A Theoretical Justification Of A Practically Important Empirical Formula, Pedro Barragan Olague, Olga Kosheleva, Vladik Kreinovich Jun 2016

How Resilient Modulus Of A Pavement Depends On Moisture Level: Towards A Theoretical Justification Of A Practically Important Empirical Formula, Pedro Barragan Olague, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

Resilient modulus is a mechanical characteristic describing the stiffness of a pavement. Its value depends on the moisture level. In pavement construction, it is important to be able, knowing the resilient modulus corresponding to one moisture level, to predict resilient modulus corresponding to other moisture levels. There exists an empirical formula for this prediction. In this paper, we provide a possible theoretical explanation for this empirical formula.

Go to article

Computers Of Generation Omega And The Future Of Computing, Vladik Kreinovich Jun 2016

Computers Of Generation Omega And The Future Of Computing, Vladik Kreinovich

Departmental Technical Reports (CS)

No abstract provided.

Go to article

George Klir And The Great Chain Of Ideas, Vladik Kreinovich Jun 2016

George Klir And The Great Chain Of Ideas, Vladik Kreinovich

Departmental Technical Reports (CS)

Earlier this year, I received sad news that my good friend and dear colleague George Klir is no more. George was a great scientist -- and, in my opinion, a greatly underestimated one. I therefore believe that it will be beneficial to explain his true role in science.

Go to article

Why Compaction Meter Value (Cmv) Is A Good Measure Of Pavement Stiffness: Towards A Possible Theoretical Explanation, Andrzej Pownuk, Pedro Barragan Olague, Vladik Kreinovich Jun 2016

Why Compaction Meter Value (Cmv) Is A Good Measure Of Pavement Stiffness: Towards A Possible Theoretical Explanation, Andrzej Pownuk, Pedro Barragan Olague, Vladik Kreinovich

Departmental Technical Reports (CS)

To measure stiffness of the compacted pavement, practitioners use the Compaction Meter Value (CMV); a ratio between the amplitude for the first harmonic of the compactor's acceleration and the amplitude corresponding to the vibration frequency. Numerous experiments show that CMV is highly correlated with the pavement stiffness, but as of now, there is no convincing theoretical explanation for this correlation. In this paper, we provide a possible theoretical explanation for the empirical correlation. This explanation also explains why, the stiffer the material, the more higher-order harmonics we observe.

Go to article

Injury Severity Data For Front And Second Row Passengers In Frontal Crashes, Theresa Atkinson, Leszek Gawarecki, Massoud S. Tavakoli Jun 2016

Injury Severity Data For Front And Second Row Passengers In Frontal Crashes, Theresa Atkinson, Leszek Gawarecki, Massoud S. Tavakoli

Mathematics Publications

The data contained here were obtained from the National Highway Transportation Safety Administration׳s National Automotive Sampling System – Crashworthiness Data System (NASS-CDS) for the years 2008–2014. This publically available data set monitors motor vehicle crashes in the United States, using a stratified random sample frame, resulting in information on approximately 5000 crashes each year that can be utilized to create national estimates for crashes. The NASS-CDS data sets document vehicle, crash, and occupant factors. These data can be utilized to examine public health, law enforcement, roadway planning, and vehicle design issues. The data provided in this brief are a subset …

Go to article

Σary, Minnesota State University Moorhead, Mathematics Department Jun 2016

Σary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.

Go to article

Solar Cycle Variability In Mean Thermospheric Composition And Temperature Induced By Atmospheric Tides, M. Jones Jr., J. M. Forbes, M. E. Hagan Jun 2016

Solar Cycle Variability In Mean Thermospheric Composition And Temperature Induced By Atmospheric Tides, M. Jones Jr., J. M. Forbes, M. E. Hagan

All Physics Faculty Publications

In this paper we demonstrate that dissipation of upward propagating tides produces significant changes in the mean temperature of the thermosphere, ranging from +19æK at solar minimum to _15æK at solar maximum in the equatorial region. Our methodology consists of measuring the differential response of the thermosphere-ionosphere-electrodynamics general circulation model (TIE-GCM) under solar minimum and solar maximum conditions to constant tidal forcing at its 97ækm lower boundary, as specified by the observationally based Climatological Tidal Model of the Thermosphere. Diagnosis of the model reveals that these changes are mainly driven by 5.3æ_m nitric oxide (NO) cooling, which more efficiently cools …

Go to article

Oncogenic Pik3ca Mutations Reprogram Glutamine Metabolism In Colorectal Cancer, Yujun Hao, Yardena Samuels, Qingling Li, Dawid Krokowski, Bo-Jhih Guan, Chao Wang, Zhicheng Jin, Bohan Dong, Bo Cao, Xiujing Feng, Min Xiang, Claire Xu, Stephen Fink, Neal J. Meropol, Yan Xu Jun 2016

Oncogenic Pik3ca Mutations Reprogram Glutamine Metabolism In Colorectal Cancer, Yujun Hao, Yardena Samuels, Qingling Li, Dawid Krokowski, Bo-Jhih Guan, Chao Wang, Zhicheng Jin, Bohan Dong, Bo Cao, Xiujing Feng, Min Xiang, Claire Xu, Stephen Fink, Neal J. Meropol, Yan Xu

Chemistry Faculty Publications

Cancer cells often require glutamine for growth, thereby distinguishing them from most normal cells. Here we show that PIK3CA mutations reprogram glutamine metabolism by upregulating glutamate pyruvate transaminase 2 (GPT2) in colorectal cancer (CRC) cells, making them more dependent on glutamine. Compared with isogenic wild-type (WT) cells, PIK3CA mutant CRCs convert substantially more glutamine to alpha-ketoglutarate to replenish the tricarboxylic acid cycle and generate ATP. Mutant p110 alpha upregulates GPT2 gene expression through an AKT-independent, PDK1-RSK2-ATF4 signalling axis. Moreover, aminooxyacetate, which inhibits the enzymatic activity of aminotransferases including GPT2, suppresses xenograft tumour growth of CRCs with PIK3CA mutations, but not …

Go to article

First Prev Next Last