Physical Sciences and Mathematics | Open Access Articles

The Ext-Strongly Gorenstein Projective Modules, Jie Ren

Turkish Journal of Mathematics

In this paper, we introduce and study Ext-strongly Gorenstein projective modules. We prove that the class of Ext-strongly Gorenstein projective modules is projective resolving. Moreover, we consider Ext-strongly Gorenstein projective precovers.

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On P-Schemes With The Same Degrees Of Thin Radical And Thin Residue, Fatemeh Raei Barandagh, Amir Rahnamai Barghi

Turkish Journal of Mathematics

Let p and n>1 be a prime number and an integer, respectively. In this paper, first we show that any p-scheme whose thin radical and thin residue are equal is isomorphic to a fission of the wreath product of 2 thin schemes. In addition, we characterize association p-schemes whose thin radical and thin residue each have degree equal to p. We also characterize association p-schemes on p^n points whose thin radical and thin residue each have degree equal to p^{n-1}, and whose basis relations each have valency 1 or p^{n-1}. Moreover, we show that such schemes are Schurian.

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Good Modulating Sequences For The Ergodic Hilbert Transform, Azer Akhmedov, Doğan Çömez

Turkish Journal of Mathematics

This article investigates classes of bounded sequences of complex numbers that are universally good for the ergodic Hilbert transform in L_p-spaces, 2 \leq p \leq \infty. The class of bounded Besicovitch sequences satisfying a rate condition is among such sequence classes.

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On Separating Subadditive Maps, Vesko Valov

Turkish Journal of Mathematics

Recall that a map T \colon C(X,E) \to C(Y,F), where X, Y are Tychonoff spaces and E, F are normed spaces, is said to be separating, if for any 2 functions f,g \in C(X,E) we have c(T(f)) \cap c(T(g))= \varnothing provided c(f) \cap c(g) = \varnothing. Here c(f) is the co-zero set of f. A typical result generalizing the Banach--Stone theorem is of the following type (established by Araujo): if T is bijective and additive such that both T and T^{-1} are separating, then the realcompactification \nu X of X is homeomorphic to \nu Y. In this paper we show …

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Real Hypersurfaces In Complex Two-Plane Grassmannians Whose Shape Operator Is Recurrent For The Generalized Tanaka-Webster Connection, Juan De Dios Perez, Young Jin Suh, Changhwa Woo

Turkish Journal of Mathematics

We prove the non-existence of Hopf real hypersurfaces in complex two-plane Grassmannians whose shape operator $A$ is generalized Tanaka-Webster recurrent if the principal curvature of the structure vector field is not equal to trace(A).

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On Broyden-Like Update Via Some Quadratures For Solving Nonlinear Systems Of Equations, Hassan Mohammad, Mohammed Yusuf Waziri

Turkish Journal of Mathematics

In this work, we propose a new alternative approximation based on the quasi-Newton approach for solving systems of nonlinear equations using the average of midpoint and Simpson's quadrature. Our goal is to enhance the efficiency of the method (Broyden's method) by reducing the number of iterations it takes to reach a solution. Local convergence analysis and computational results showing the relative efficiency of the proposed method are given.

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Characterizing Rational Groups Whose Irreducible Characters Vanish Only On Involutions, Saeed Jafari, Hesam Sharifi

Turkish Journal of Mathematics

A rational group is a finite group whose irreducible complex characters are rational valued. The aim of this paper is to classify rational groups $G$ for which every nonlinear irreducible character vanishes only on involutions.

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Warped Product Skew Semi-Invariantsubmanifolds Of Order $1$ Of A Locallyproduct Riemannian Manifold, Hakan Mete Taştan

Turkish Journal of Mathematics

We introduce warped product skew semi-invariant submanifolds of order $1$ of a locally product Riemannian manifold. We give a necessary and sufficient condition for a skew semi-invariant submanifold of order 1 to be a locally warped product. We also establish an inequality between the warping function and the squared norm of the second fundamental form for such submanifolds. The equality case is also discussed.

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Sharp Lower Bounds For The Zagreb Indices Of Unicyclic Graphs, Batmend Horoldagva, Kinkar Das

Turkish Journal of Mathematics

The first Zagreb index $M_1$ is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index $M_2$ is equal to the sum of the products of the degrees of pairs of adjacent vertices of the respective graph. In this paper we present the lower bound on $M_1$ and $M_2$ among all unicyclic graphs of given order, maximum degree, and cycle length, and characterize graphs for which the bound is attained. Moreover, we obtain some relations between the Zagreb indices for unicyclic graphs.

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Generalized Weakly Central Reduced Rings, Ying Zhou, Junchao Wei

Turkish Journal of Mathematics

A ring $R$ is called $GWCN$ if $x^2y^2=xy^2x$ for all $x\in N(R)$ and $y\in R$, which is a proper generalization of reduced rings and $CN$ rings. We study the sufficient conditions for $GWCN$ rings to be reduced and $CN$. We first discuss many properties of $GWCN$ rings. Next, we give some interesting characterizations of left min-abel rings. Finally, with the help of exchange $GWCN$ rings, we obtain some characterizations of strongly regular rings.

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On The Second Homology Of The Sch\"{U}Tzenberger Product Of Monoids, Melek Yağci, Leyla Bugay, Hayrullah Ayik

Turkish Journal of Mathematics

For two finite monoids $S$ and $T$, we prove that the second integral homology of the Sch\"{u}tzenberger product $S\Diamond T$ is equal to $$H_{2}(S\Diamond T)=H_{2}(S)\times H_{2}(T)\times (H_{1}(S)\otimes _{\mathbb Z} H_{1}(T)) $$ as the second integral homology of the direct product of two monoids. Moreover, we show that $S\Diamond T$ is inefficient if there is no left or right invertible element in both $S$ and $T$.

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Jacobi-Spectral Method For Integro-Delay Differential Equations With Weakly Singular Kernels, Ishtiaq Ali

Turkish Journal of Mathematics

We present a numerical solution to the integro-delay differential equation with weakly singular kernels with the delay function $\theta (t)$ vanishing at the initial point of the given interval $[0, T]$ ($\theta (t) = qt, 0 < q < 1)$. In order to fully use the Jacobi orthogonal polynomial theory, we use some function and variable transformation to change the intergro-delay differential equation into a new equation defined on the standard interval $[-1, 1]$. A Gauss--Jacobi quadrature formula is used to evaluate the integral term. The spectral rate of convergence is provided in infinity norm under the assumption that the solution of the given equation is sufficiently smooth. For validation of the theoretical exponential rate of convergence of our method, we provide some numerical examples.

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On The Block Sequence Space $L_P(E)$ And Related Matrix Transformations, Davoud Foroutannia

Turkish Journal of Mathematics

The purpose of the present study is to introduce the sequence space $$l_p(E)=\left\{ x=(x_n)_{n=1}^{\infty}\;:\; \sum_{n=1}^{\infty} \left \sum_{j\in E_n}x_j\right ^p

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Dynamic Behavior Of A Second-Order Nonlinearrational Difference Equation, Yacine Halim, Nouressadat Touafek, Yasi̇n Yazlik

Turkish Journal of Mathematics

This paper deals with the global attractivity of positive solutions of the second-order nonlinear difference equation \begin{equation*} x_{n+1}=\frac{ax_{n}^{k}+b\displaystyle\sum_{j=1}^{k-1}x_{n}^{j}x_{n-1}^{k-j}+cx_{n-1} ^{k}}{Ax_{n}^{k}+B\displaystyle\sum_{j=1}^{k-1}x_{n}^{j}x_{n-1}^{k-j}+Cx_{n-1}^{k}},\ k=3,4,...,\,n=0,1,...,\label{eq1} \end{equation*} where the parameters $a$, $b$, $c$, $A$, $B$, $C$ and the initial values $x_{0}$, $x_{-1}$ are arbitrary positive real numbers.

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The Knowledge Accumulation And Transfer In Open-Source Software (Oss) Development, Youngsoo Kim, Lingxiao Jiang

Research Collection School Of Computing and Information Systems

We examine the learning curves of individual software developers in Open-Source Software (OSS) Development. We collected the dataset of multi-year code change histories from the repositories for 20 open source software projects involving more than 200 developers. We build and estimate regression models to assess individual developers' learning progress (in reducing the likelihood they make a bug). Our estimation results show that developer's coding and indirect bug-fixing experiences do not decrease bug ratios while bug-fixing experience can lead to the decrease of bug ratio of learning progress. We also find that developer's coding and bug-fixing experiences in other projects do …

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Designing A Portfolio Of Parameter Configurations For Online Algorithm Selection, Aldy Gunawan, Hoong Chuin Lau, Mustafa Misir

Research Collection School Of Computing and Information Systems

Algorithm portfolios seek to determine an effective set of algorithms that can be used within an algorithm selection framework to solve problems. A limited number of these portfolio studies focus on generating different versions of a target algorithm using different parameter configurations. In this paper, we employ a Design of Experiments (DOE) approach to determine a promising range of values for each parameter of an algorithm. These ranges are further processed to determine a portfolio of parameter configurations, which would be used within two online Algorithm Selection approaches for solving different instances of a given combinatorial optimization problem effectively. We …

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Solving Uncertain Mdps With Objectives That Are Separable Over Instantiations Of Model Uncertainty, Yossiri Adulyasak, Pradeep Varakantham, Asrar Ahmed, Patrick Jaillet

Research Collection School Of Computing and Information Systems

Markov Decision Problems, MDPs offer an effective mechanism for planning under uncertainty. However, due to unavoidable uncertainty over models, it is difficult to obtain an exact specification of an MDP. We are interested in solving MDPs, where transition and reward functions are not exactly specified. Existing research has primarily focussed on computing infinite horizon stationary policies when optimizing robustness, regret and percentile based objectives. We focus specifically on finite horizon problems with a special emphasis on objectives that are separable over individual instantiations of model uncertainty (i.e., objectives that can be expressed as a sum over instantiations of model uncertainty): …

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Gis Data: City Of Alexandria Shoreline Management Model, Marcia Berman, Harry Berquist, Sharon Killeen, Carl Hershner, Karinna Nunez, Karen Reay, Tamia Rudnicky

Data

The Shoreline Management Model is a GIS spatial model that determines appropriate shoreline best management practices using available spatial data and decision tree logic. Available shoreline conditions used in the model include the presence or absence of tidal marshes, beaches, and forested riparian buffers, bank vegetation cover, bank height, wave exposure (fetch), nearshore water depth, and proximity of coastal development to the shoreline. The model output for shoreline best management practices is displayed in the locality Comprehensive Map Viewer. One GIS shapefile is developed that describes two arcs or lines representing practices in the upland area and practices at the …

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Proterozoic Tectonometamorphic Evolution Of The Ruby Range, Sw Montana, Usa: Insights From Phase Equilibria Modeling And In Situ Monazite Petrochronology, Martin Cramer

Graduate Student Theses, Dissertations, & Professional Papers

Phase equilibria modeling and monazite petrochronology reveal a complex history for the Ruby Range, SW Montana, which provides insights into the reactivation and growth of the northwestern Wyoming craton. Metapelites and orthoamphibolites from three areas were investigated. Stone Creek, the structurally highest area along the western flank, records a clockwise P–T path with peak conditions of ~6.5 kbar and ~760 °C and post-peak conditions of ~6.0 kbar and ~680 °C. Monazite growth in this area occurred at 1790–1723 Ma, with monazite inclusions in garnet at 1757 ± 8 Ma. Structurally deeper rocks at Elk Gulch in the south-central part …

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Pattern Mining And Events Discovery In Molecular Dynamics Simulations Data, Shobhit Sandesh Shakya

LSU Doctoral Dissertations

Molecular dynamics simulation method is widely used to calculate and understand a wide range of properties of materials. A lot of research efforts have been focused on simulation techniques but relatively fewer works are done on methods for analyzing the simulation results. Large-scale simulations usually generate massive amounts of data, which make manual analysis infeasible, particularly when it is necessary to look into the details of the simulation results. In this dissertation, we propose a system that uses computational method to automatically perform analysis of simulation data, which represent atomic position-time series. The system identifies, in an automated fashion, the …

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Classification In The Presence Of Ordered Classes And Weighted Evaluative Attributes, Forrest Justin Osterman

LSU Doctoral Dissertations

We are interested in an important family of problems in the interface of the Multi-Attribute Decision-Making and Data Mining fields. This is a special case of the general classification problem, in which records describing entities of interest have been expressed in terms of a number of evaluative attributes. These attributes are associated with weights of importance, and both the data and the classes are ordinal. Our goal is to use historical records and the corresponding decisions to best estimate the class values of new data points in a way consistent with prior classification decisions, without knowledge of the weights of …

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Effects Of Inbreeding On Endangered Red Wolves (Canis Rufus), Kristin E. Brzeski

LSU Doctoral Dissertations

Inbreeding depression, the reduction in offspring fitness caused by mating among close relatives, is widespread in small populations and a major concern in conservation biology because it can affect population persistence. The negative effects of inbreeding results in the evolution of inbreeding avoidance behaviors; within small populations, such behaviors may encourage individuals to select mates outside of their respective species. Mate choice may also be facilitated by variation at major histocompatibility complex (MHC) genes, a gene group critical for immune response and disease resistance. Given broad impacts of inbreeding and MHC variation on fitness and behavior, evaluating their effects is …

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Pleistocene Relative Sea Levels In The Chesapeake Bay Region And Their Implications For The Next Century, Benjamin D. Dejong, Paul R. Bierman, Wayne L. Newell, Tammy M. Rittenour, Shannon A. Mahan, Greg Balco, Dylan H. Rood

College of Arts and Sciences Faculty Publications

Today, relative sea-level rise (3.4 mm/yr) is faster in the Chesapeake Bay region than any other location on the Atlantic coast of North America, and twice the global average eustatic rate (1.7 mm/yr). Dated interglacial deposits suggest that relative sea levels in the Chesapeake Bay region deviate from global trends over a range of timescales. Glacio-isostatic adjustment of the land surface from loading and unloading of continental ice is likely responsible for these deviations, but our understanding of the scale and timeframe over which isostatic response operates in this region remains incomplete because dated sea-level proxies are mostly limited to …

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A Trust-Based Relay Selection Approach To The Multi-Hop Network Formation Problem In Cognitive Radio Networks, Brandy Michelle Tyson

LSU Doctoral Dissertations

One of the major challenges for today’s wireless communications is to meet the growing demand for supporting an increasing diversity of wireless applications with limited spectrum resource. In cooperative communications and networking, users share resources and collaborate in a distributed approach, similar to entities of active social groups in self organizational communities. Users’ information may be shared by the user and also by the cooperative users, in distributed transmission. Cooperative communications and networking is a fairly new communication paradigm that promises significant capacity and multiplexing gain increase in wireless networks. This research will provide a cooperative relay selection framework that …

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Ray Tracing For Optimization Of Compound Parabolic Concentrators For Solar Collectors Of Enclosed Design, Vladimir Yurchenko, Eduard Yurchenko, Mehmet Çi̇ydem, Onat Totuk

Turkish Journal of Electrical Engineering and Computer Sciences

We present our developments in computer simulations and optimization of compound parabolic concentrators (CPCs) for solar heat collectors. Issues of both the optical and thermal optimization of CPC collectors of enclosed design are discussed. Ray tracing results for a CPC with a V-shaped absorber are presented. A range of optimal values for the apex angle of a V-shaped absorber is proposed for a CPC collector of typical design.

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Integration Of Wind Power For Optimal Power System Black-Start Restoration, Amany El Zonkoly

Turkish Journal of Electrical Engineering and Computer Sciences

Integration of wind farms into power systems may increase the risk of power system blackouts due to the uncertain nature of their output power. In the meantime, wind turbines have relatively short starting time when compared to non-black-start (NBS) generating units. For this reason, wind farms need to participate in power system restoration after blackouts. The decision of restoring a wind farm depends on its output power and the characteristics of the power system. The power system restoration should be accomplished as soon as possible. For complete power system restoration, three stages must be completed: generation restoration, transmission system restoration, …

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Reliability Assessment Of A Standalone Wind-Conventional/Energy Storage System Using Probabilistic Production Simulation Method, Hossein Delavaripour, Behzad Mirzaeian Dehkordi

Turkish Journal of Electrical Engineering and Computer Sciences

This paper presents a reliability evaluation technique for a small standalone system including wind and conventional resources integrated with an energy storage system. A battery bank is considered as the energy storage system. The focus in this analysis is on the effect of battery modeling and its performance on system reliability. In this way, this paper presents an accurate model for the electrochemical batteries, which takes into account all the influential characteristics of the battery related to reliability studies, such as depth of charge, efficiency of charge, and rate of discharge. The proposed reliability evaluation method is based on the …

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A Modeling Study In The Regulation Of Stress On Neuronal Plasticity, Pengcheng Xiao

Mathematics Dissertations

How stress can affect human cognitive functions has been a very popular topic for researchers from different fields including physiology, psychology, biology, neuroscience, and applied mathematics. Hypothalamic−pituitary−adrenal (HPA) axis plays an important role in response to stress by releasing hormones, and level of glucocorticoid has been widely considered to be one key factor to distinguish people with different stress disorder. Emerging evidence has shown that glucocorticoid act on glutamate neurotransmission system and consequently influences neuronal activities’s cognitive function. It changes in the glutamate release and induces synapse plasticity change. Spike-Timing Dependent Plasticity (STDP) is one of the important neuroscience foundations …

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Temporal Evolution Of Basal Water Pressure And Ice Velocity Along A 50 Km Flow Line Transect Of Western Greenland, Patrick Wright

Graduate Student Theses, Dissertations, & Professional Papers

The gradient in hydraulic potential at the ice-bedrock interface beneath the Greenland Ice Sheet (GrIS) dictates the routing and energetics of subglacial water, thereby influencing drainage system characteristics and sliding dynamics. In the ablation zone of the GrIS, a high relief bed and gradients in water pressure in an active subglacial drainage system potentially play a complex role in dictating the hydraulic potential field. Here we present a suite of water pressure measurements collected within thirteen boreholes along a 46 km transect on the western GrIS in order to investigate the sensitivity of the potential gradient field to seasonal evolution …

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Selective Solid Phase Extraction Of Uranium Using An Aminophosphonic Acid Functionalized Composite Material, Ranalda Tsosie

Graduate Student Theses, Dissertations, & Professional Papers

Uranium is an element of interest because it is an abundant source of concentrated energy. In 1948 the US offered money for uranium ore mined in the US, which created a mining boom in the southwest that included the Navajo Reservation. During the late 1960s the demand for uranium decreased and many mining operations shutdown and left behind a legacy of contamination. As a result many Navajo communities have numerous water sources that exceed established maximum contamination levels for uranium and other toxic metals. These contaminations are a direct result of abandoned Cold War uranium mines and mill waste sites …

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Full-Text Articles in Physical Sciences and Mathematics

The Ext-Strongly Gorenstein Projective Modules, Jie Ren

Turkish Journal of Mathematics

On P-Schemes With The Same Degrees Of Thin Radical And Thin Residue, Fatemeh Raei Barandagh, Amir Rahnamai Barghi

Turkish Journal of Mathematics

Good Modulating Sequences For The Ergodic Hilbert Transform, Azer Akhmedov, Doğan Çömez

Turkish Journal of Mathematics

On Separating Subadditive Maps, Vesko Valov

Turkish Journal of Mathematics

Real Hypersurfaces In Complex Two-Plane Grassmannians Whose Shape Operator Is Recurrent For The Generalized Tanaka-Webster Connection, Juan De Dios Perez, Young Jin Suh, Changhwa Woo

Turkish Journal of Mathematics

On Broyden-Like Update Via Some Quadratures For Solving Nonlinear Systems Of Equations, Hassan Mohammad, Mohammed Yusuf Waziri

Turkish Journal of Mathematics

Characterizing Rational Groups Whose Irreducible Characters Vanish Only On Involutions, Saeed Jafari, Hesam Sharifi

Turkish Journal of Mathematics

Warped Product Skew Semi-Invariantsubmanifolds Of Order $1$ Of A Locallyproduct Riemannian Manifold, Hakan Mete Taştan

Turkish Journal of Mathematics

Sharp Lower Bounds For The Zagreb Indices Of Unicyclic Graphs, Batmend Horoldagva, Kinkar Das

Turkish Journal of Mathematics

Generalized Weakly Central Reduced Rings, Ying Zhou, Junchao Wei

Turkish Journal of Mathematics

On The Second Homology Of The Sch\"{U}Tzenberger Product Of Monoids, Melek Yağci, Leyla Bugay, Hayrullah Ayik

Turkish Journal of Mathematics

Jacobi-Spectral Method For Integro-Delay Differential Equations With Weakly Singular Kernels, Ishtiaq Ali

Turkish Journal of Mathematics

On The Block Sequence Space $L_P(E)$ And Related Matrix Transformations, Davoud Foroutannia

Turkish Journal of Mathematics

Dynamic Behavior Of A Second-Order Nonlinearrational Difference Equation, Yacine Halim, Nouressadat Touafek, Yasi̇n Yazlik

Turkish Journal of Mathematics

The Knowledge Accumulation And Transfer In Open-Source Software (Oss) Development, Youngsoo Kim, Lingxiao Jiang

Research Collection School Of Computing and Information Systems

Designing A Portfolio Of Parameter Configurations For Online Algorithm Selection, Aldy Gunawan, Hoong Chuin Lau, Mustafa Misir

Research Collection School Of Computing and Information Systems

Solving Uncertain Mdps With Objectives That Are Separable Over Instantiations Of Model Uncertainty, Yossiri Adulyasak, Pradeep Varakantham, Asrar Ahmed, Patrick Jaillet

Research Collection School Of Computing and Information Systems

Gis Data: City Of Alexandria Shoreline Management Model, Marcia Berman, Harry Berquist, Sharon Killeen, Carl Hershner, Karinna Nunez, Karen Reay, Tamia Rudnicky

Data

Proterozoic Tectonometamorphic Evolution Of The Ruby Range, Sw Montana, Usa: Insights From Phase Equilibria Modeling And In Situ Monazite Petrochronology, Martin Cramer

Graduate Student Theses, Dissertations, & Professional Papers

Pattern Mining And Events Discovery In Molecular Dynamics Simulations Data, Shobhit Sandesh Shakya

LSU Doctoral Dissertations

Classification In The Presence Of Ordered Classes And Weighted Evaluative Attributes, Forrest Justin Osterman

LSU Doctoral Dissertations

Effects Of Inbreeding On Endangered Red Wolves (Canis Rufus), Kristin E. Brzeski

LSU Doctoral Dissertations

Pleistocene Relative Sea Levels In The Chesapeake Bay Region And Their Implications For The Next Century, Benjamin D. Dejong, Paul R. Bierman, Wayne L. Newell, Tammy M. Rittenour, Shannon A. Mahan, Greg Balco, Dylan H. Rood

College of Arts and Sciences Faculty Publications

A Trust-Based Relay Selection Approach To The Multi-Hop Network Formation Problem In Cognitive Radio Networks, Brandy Michelle Tyson

LSU Doctoral Dissertations

Ray Tracing For Optimization Of Compound Parabolic Concentrators For Solar Collectors Of Enclosed Design, Vladimir Yurchenko, Eduard Yurchenko, Mehmet Çi̇ydem, Onat Totuk

Turkish Journal of Electrical Engineering and Computer Sciences

Integration Of Wind Power For Optimal Power System Black-Start Restoration, Amany El Zonkoly

Turkish Journal of Electrical Engineering and Computer Sciences

Reliability Assessment Of A Standalone Wind-Conventional/Energy Storage System Using Probabilistic Production Simulation Method, Hossein Delavaripour, Behzad Mirzaeian Dehkordi

Turkish Journal of Electrical Engineering and Computer Sciences

A Modeling Study In The Regulation Of Stress On Neuronal Plasticity, Pengcheng Xiao

Mathematics Dissertations

Temporal Evolution Of Basal Water Pressure And Ice Velocity Along A 50 Km Flow Line Transect Of Western Greenland, Patrick Wright

Graduate Student Theses, Dissertations, & Professional Papers

Selective Solid Phase Extraction Of Uranium Using An Aminophosphonic Acid Functionalized Composite Material, Ranalda Tsosie

Graduate Student Theses, Dissertations, & Professional Papers