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Applied Mathematics Commons™

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2016

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Articles 151 - 180 of 393

Full-Text Articles in Applied Mathematics

Construction Of Energy Preserving Qmf, Jian-Ao Lian, Yonghui Wang Jun 2016

Construction Of Energy Preserving Qmf, Jian-Ao Lian, Yonghui Wang

Applications and Applied Mathematics: An International Journal (AAM)

Recently, a family of perfect reconstruction (PR) quadrature mirror filterbanks (QMF) with finite impulse response filters (FIR) from systems of biorthogonal refinable functions and wavelets were introduced and also applied to image processing. However, a detailed procedure was absent. The main objective of this paper is to present extensive examples that will provide a thorough process of construction of the new family of PR QMF with FIR filterbanks. These new filters are linearphase due to the symmetry property of their corresponding biorthogonal refinable functions and wavelets. In addition, these filters have odd lengths so that the symmetric extension can be …

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Priority Queueing System With A Single Server Serving Two Queues M[X1],M[X2]/G1,G2/1 With Balking And Optional Server Vacation, G. Ayyappan, P. Thamizhselvi Jun 2016

Priority Queueing System With A Single Server Serving Two Queues M[X1],M[X2]/G1,G2/1 With Balking And Optional Server Vacation, G. Ayyappan, P. Thamizhselvi

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we study a vacation queueing system with a single server simultaneously dealing with an M[x1] /G1/1 and an M[x2] /G2/1 queues. Two classes of units, priority and non-priority, arrive at the system in two independent compound Poisson streams. Under a non-preemptive priority rule, the server provides a general service to the priority and non-priority units. We further assume that the server may take a vacation of random length just after serving the last customer in the priority unit present in the system. If the server …

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Survival Analysis Of The Men’S 100 Meter Dash Record, Farzad Noubary, Reza Noubary Jun 2016

Survival Analysis Of The Men’S 100 Meter Dash Record, Farzad Noubary, Reza Noubary

Applications and Applied Mathematics: An International Journal (AAM)

In the 2012 Summer Olympics in London seven out of eight finalists in the men’s 100 meter dash crossed the finish line in under 10 seconds. This result and other recent performances of exceptional sprinters such as Bolt have made experts wonder, not whether a new record will be set, but when and how much it will lower the present record. Seeking an answer, some researchers have tried to model the available data with the goal of using them to predict future records. This article presents a different approach based on theory of records for independent and identically distributed observations. …

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On The Global Existence And Boundedness Of Solutions Of Nonlinear Vector Differential Equations Of Third Order, Timur Ayhan, Cemil Tunç Jun 2016

On The Global Existence And Boundedness Of Solutions Of Nonlinear Vector Differential Equations Of Third Order, Timur Ayhan, Cemil Tunç

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we give some criteria to ensure the global existence and boundedness of solutions to a kind of third order nonlinear vector differential equations. By using the Lyapunov's direct method, we obtain a new result on the topic and give an example for the illustrations. Our result includes, completes and improves some earlier results in the literature.

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On A Double Integral Involving The I-Function Of Two Variables, Shantha K. Kumari, Vasudevan T. M. Nambisan Jun 2016

On A Double Integral Involving The I-Function Of Two Variables, Shantha K. Kumari, Vasudevan T. M. Nambisan

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we establish an interesting double integral involving the I-function of two variables recently introduced in the literature. Since I-function of two variables is a very generalized function of two variables and it includes as special cases many of the known functions appearing in the literature, a number of integrals can be obtained by reducing the I-function of two variables to simpler special functions by suitably specializing the parameters. A few special cases of our result are also discussed.

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On Extension Of Mittag-Leffler Function, Ekta Mittal, Rupakshi M. Pandey, Sunil Joshi Jun 2016

On Extension Of Mittag-Leffler Function, Ekta Mittal, Rupakshi M. Pandey, Sunil Joshi

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we study the extended Mittag -Leffler function by using generalized beta function and obtain various differential properties, integral representations. Further, we discuss Mellin transform of these functions in terms of generalized Wright hyper geometric function and evaluate Laplace transform, and Whittaker transform in terms of extended beta function. Finally, several interesting special cases of extended Mittag -Leffler functions have also be given.

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A Robust Uniform B-Spline Collocation Method For Solving The Generalized Phi-Four Equation, W. K. Zahra, W. A. Ouf, M. S. El-Azab Jun 2016

A Robust Uniform B-Spline Collocation Method For Solving The Generalized Phi-Four Equation, W. K. Zahra, W. A. Ouf, M. S. El-Azab

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we develop a numerical solution based on cubic B-spline collocation method. By applying Von-Neumann stability analysis, the proposed technique is shown to be unconditionally stable. The accuracy of the presented method is demonstrated by a test problem. The numerical results are found to be in good agreement with the exact solution.

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Cobb-Douglas Based Firm Production Model Under Fuzzy Environment And Its Solution Using Geometric Programming, Palash Mandal, Arindam Garai, Tapan K. Roy Jun 2016

Cobb-Douglas Based Firm Production Model Under Fuzzy Environment And Its Solution Using Geometric Programming, Palash Mandal, Arindam Garai, Tapan K. Roy

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we consider Cobb-Douglas production function based model in a firm under fuzzy environment, and its solution technique by making use of geometric programming. A firm may use many finite inputs such as labour, capital, coal, iron etc. to produce one single output. It is well known that the primary intention of using production function is to determine maximum output for any given combination of inputs. Also, the firm may gain competitive advantages if it can buy and sell in any quantities at exogenously given prices, independent of initial production decisions. On the other hand, in reality, constraints …

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The Evolution Of Cryptology, Gwendolyn Rae Souza Jun 2016

The Evolution Of Cryptology, Gwendolyn Rae Souza

Electronic Theses, Projects, and Dissertations

We live in an age when our most private information is becoming exceedingly difficult to keep private. Cryptology allows for the creation of encryptive barriers that protect this information. Though the information is protected, it is not entirely inaccessible. A recipient may be able to access the information by decoding the message. This possible threat has encouraged cryptologists to evolve and complicate their encrypting methods so that future information can remain safe and become more difficult to decode. There are various methods of encryption that demonstrate how cryptology continues to evolve through time. These methods revolve around different areas of …

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Thinking Poker Through Game Theory, Damian Palafox Jun 2016

Thinking Poker Through Game Theory, Damian Palafox

Electronic Theses, Projects, and Dissertations

Poker is a complex game to analyze. In this project we will use the mathematics of game theory to solve some simplified variations of the game. Probability is the building block behind game theory. We must understand a few concepts from probability such as distributions, expected value, variance, and enumeration methods to aid us in studying game theory. We will solve and analyze games through game theory by using different decision methods, decision trees, and the process of domination and simplification. Poker models, with and without cards, will be provided to illustrate optimal strategies. Extensions to those models will be …

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Modeling Fantasy Football Quarterbacks, Kyle Zeberlein, Myles Wallin May 2016

Modeling Fantasy Football Quarterbacks, Kyle Zeberlein, Myles Wallin

Celebration of Learning

Fantasy football is a way to score NFL players based off of their statistics in particular categories. We have created formulas for modeling every quarterback’s fantasy football points per game in the 2015-2016 season. Our model is partitioned into four sub-models depending on the length of the quarterback’s career in the NFL. We have developed a weighted model based on previous years’ performance of the quarterback, of the defense, and of the quarterback against the defense using data from the NFL. We compare our projections for the season against Yahoo’s projections for the season.

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Mathematical Modeling Of Quadcopter Dynamics, Qikai Huang (Bruce Wingo) May 2016

Mathematical Modeling Of Quadcopter Dynamics, Qikai Huang (Bruce Wingo)

Mathematical Sciences Technical Reports (MSTR)

Recently, Google, Amazon and others are attempting to develop delivery drones for commercial use, in particular Amazon Prime Air promising 30 minute delivery. One type of commonly used drone proposed for such purposes is a quadcopter. Quadcopters have been around for some time with original development in the 1920’s. They are popular now because they are mechanically simple and provide a good vehicle for unmanned flight. By controlling the speed of the four propellers, a quadcopter can roll, change pitch, change yaw, and accelerate. This research will focus on the study of classical mechanics theories on rigid body motion using …

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Nonlinear Harmonic Modes Of Steel Strings On An Electric Guitar, Joel Wenrich May 2016

Nonlinear Harmonic Modes Of Steel Strings On An Electric Guitar, Joel Wenrich

Senior Theses

Steel strings used on electric and acoustic guitars are non-ideal oscillators that can produce imperfect intonation. According to theory, this intonation should be a function of the bending stiffness of the string, which is related to the dimensions of length and thickness of the string. To test this theory, solid steel strings of three different linear densities were analyzed using an oscilloscope and a Fast Fourier Transform function. We found that strings exhibited more drastic nonlinear harmonic behavior as their effective length was shortened and as linear density increased.

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A Bi-Stable Switch In Virus Dynamics Can Explain The Differences In Disease Outcome Following Siv Infections In Rhesus Macaques, Stanca Ciupe, Christopher Miller, Jonathan Forde May 2016

A Bi-Stable Switch In Virus Dynamics Can Explain The Differences In Disease Outcome Following Siv Infections In Rhesus Macaques, Stanca Ciupe, Christopher Miller, Jonathan Forde

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Patient-Specific Inference Of Average Glucose From Glycated Hemoglobin, Roy Malka, David M. Nathan, John M. Higgins May 2016

Patient-Specific Inference Of Average Glucose From Glycated Hemoglobin, Roy Malka, David M. Nathan, John M. Higgins

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Determinants Of The Efficacy Of Hiv Latency Reversing Agents And Implications For Drug And Treatment Design, Ruian Ke May 2016

Determinants Of The Efficacy Of Hiv Latency Reversing Agents And Implications For Drug And Treatment Design, Ruian Ke

Biology and Medicine Through Mathematics Conference

No abstract provided.

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A Unified Model Of Pathogenesis Pathways Of Type 2 Diabetes, Joon Ha, Arthur Sherman May 2016

A Unified Model Of Pathogenesis Pathways Of Type 2 Diabetes, Joon Ha, Arthur Sherman

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, Steven Poelzing, Amara Greer-Short, Seth H. Weinberg May 2016

Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome, Steven Poelzing, Amara Greer-Short, Seth H. Weinberg

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Symmetries Constrain Dynamics In A Family Of Balanced Neural Networks, Andrea Barreiro, J Nathan Kutz, Eli Shlizerman May 2016

Symmetries Constrain Dynamics In A Family Of Balanced Neural Networks, Andrea Barreiro, J Nathan Kutz, Eli Shlizerman

Biology and Medicine Through Mathematics Conference

No abstract provided.

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A Multi-Level Model Of Synergistic T Cell Activation, Anna Konstorum, Anthony Vella, Reinhard C. Laubenbacher May 2016

A Multi-Level Model Of Synergistic T Cell Activation, Anna Konstorum, Anthony Vella, Reinhard C. Laubenbacher

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake May 2016

Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Mathematical Models Of Biofilm For Antimicrobial Persistence, Jia Zhao May 2016

Mathematical Models Of Biofilm For Antimicrobial Persistence, Jia Zhao

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Toward Adaptive Control Of Acute Inflammation, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli May 2016

Toward Adaptive Control Of Acute Inflammation, Judy D. Day, Seddik M. Djouadi, Ouassim Bara, Gregory L. Zitelli

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Optimal Insecticide-Treated Bed-Net Coverage And Malaria Treatment In A Malaria-Hiv Co-Infection Model, Eric Numfor May 2016

Optimal Insecticide-Treated Bed-Net Coverage And Malaria Treatment In A Malaria-Hiv Co-Infection Model, Eric Numfor

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Dynamics Of Discrete Planar Systems That Model Stage-Structured Populations, Shushan Lazaryan, Hassan Sedaghat May 2016

Dynamics Of Discrete Planar Systems That Model Stage-Structured Populations, Shushan Lazaryan, Hassan Sedaghat

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Using Predator Carrying Capacity For A Pathogenic Vector-Dynamic Differential Model, Rosahn P. Bhattarai May 2016

Using Predator Carrying Capacity For A Pathogenic Vector-Dynamic Differential Model, Rosahn P. Bhattarai

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Mathematical Modeling Of Endotoxin-Induced Inflammation In Young Men, Renee Brady May 2016

Mathematical Modeling Of Endotoxin-Induced Inflammation In Young Men, Renee Brady

Biology and Medicine Through Mathematics Conference

No abstract provided.

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A Comparison Of Obesity Interventions Using Energy Balance Models, Marcella Torres, Angela Reynolds May 2016

A Comparison Of Obesity Interventions Using Energy Balance Models, Marcella Torres, Angela Reynolds

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Demonstration Of Follicle Waves Using Delay Differential Equations, Andrew A. Wright May 2016

Demonstration Of Follicle Waves Using Delay Differential Equations, Andrew A. Wright

Biology and Medicine Through Mathematics Conference

No abstract provided.

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Heterogeneous Responses To Viral Infection: Insights From Mathematical Modeling Of Yellow Fever Vaccine, James R. Moore May 2016

Heterogeneous Responses To Viral Infection: Insights From Mathematical Modeling Of Yellow Fever Vaccine, James R. Moore

Biology and Medicine Through Mathematics Conference

No abstract provided.

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