Splash Dynamics Of Paint On Dry, Wet, And Cooled Surfaces,
2016
Montclair State University
Splash Dynamics Of Paint On Dry, Wet, And Cooled Surfaces, David Baron, Haiyan Su, Ashuwin Vaidya
Department of Applied Mathematics and Statistics Faculty Scholarship and Creative Works
In his classic study in 1908, A.M. Worthington gave a thorough account of splashes and their formation through visualization experiments. In more recent times, there has been renewed interest in this subject, and much of the underlying physics behind Worthington's experiments has now been clarified. One specific set of such recent studies, which motivates this paper, concerns the fluid dynamics behind Jackson Pollock's drip paintings. The physical processes and the mathematical structures hidden in his works have received serious attention and made the scientific pursuit of art a compelling area of exploration. Our current work explores the interaction of watercolors …
Non-Newtonian Prandtl Fluid Over Stretching Permeable Surface,
2016
Thakur College of Engineering and Technology
Non-Newtonian Prandtl Fluid Over Stretching Permeable Surface, N. R. Jain, M. G. Timol
Applications and Applied Mathematics: An International Journal (AAM)
An analysis is made of the velocity and temperature distribution in the flow of a viscous incompressible fluid caused by the stretching permeable surface which issues in the Prandtl fluid. Parandtl fluid is a pseudoplastic visco-inelastic non-Newtonian fluid. The governing partial differential equations are reduced to ordinary differential equations using deductive group transformation and similarity solution is derived. Numerical solutions to the reduced non-linear similarity equations are then obtained by adopting shooting method using the Nachtsheim-Swigert iteration technique. The results of the numerical solution are then presented graphically in the form of velocity and temperature profiles. The corresponding skin friction …
Color Image Encryption And Decryption Using Hill Cipher Associated With Arnold Transform,
2016
Indian Institute of Technology
Color Image Encryption And Decryption Using Hill Cipher Associated With Arnold Transform, Rakesh Ranjan, R. K. Sharma, M. Hanmandlu
Applications and Applied Mathematics: An International Journal (AAM)
Image security over open network transmission is a big concern nowadays. This paper proposes another methodology for color image encoding and decoding using two stage Hill Cipher method which is connected with Arnold Transformation. The forgoing created a strategy for encryption and decryption of color image information and touched on just the premise of keys. In this plan, keys and the agreement of Hill Cipher (HC) are basic. Moreover, keys multiplication (pre or post) over an RGB image information framework is inevitable to know to effectively decrypt the first image information. We have given a machine simulation with a standard …
Dynamic Network Flows With Uncertain Costs Belonging To Interval,
2016
University of Qom
Dynamic Network Flows With Uncertain Costs Belonging To Interval, Gholam H. Shirdel, Hassan Rezapour
Applications and Applied Mathematics: An International Journal (AAM)
This paper considers minimum cost flow problem in dynamic networks with uncertain costs. First, we present a short introduction of dynamic minimum cost flow. Then, we survey discrete and continuous dynamic minimum cost flow problems, their properties and relationships between them. After that, the minimum cost flow problem in discrete dynamic network with uncertainty in the cost vector is considered such that the arc cost can be changed within an interval. Finally, we propose an algorithm to find the optimal solution of the proposed model.
Some Results On F-Simultaneous Chebyshev Approximation,
2016
Yarmouk University
Some Results On F-Simultaneous Chebyshev Approximation, Sh. Al-Sharif, Kh. Qaraman
Applications and Applied Mathematics: An International Journal (AAM)
Let X be a Hausdorff topological vector space and f be a real valued continuous function on X: In this paper we introduce and study the concept of fsimultaneous approximation of a nonempty subset K of X as a generalization to the problem of simultaneous approximation. Further we present some results regarding fsimultaneous approximation in the quotient space.
On Local Asymptotic Stability Of Q-Fractional Nonlinear Dynamical Systems,
2016
Mehmet Akif Ersoy University
On Local Asymptotic Stability Of Q-Fractional Nonlinear Dynamical Systems, Ilknur Koca, Elif Demirci
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, locally asymptotic stability of q-fractional order nonlinear dynamical systems is introduced and studied. The sufficient conditions for local stability of such dynamical systems are obtained. Also, useful definitions of fractional order q-integrals and q-derivatives are recalled. Finally, a q-fractional order nonlinear dynamical model is considered.
Waldschmidt Constant For Squarefree Monomial Ideals,
2016
University of Siena
Waldschmidt Constant For Squarefree Monomial Ideals, Christian Bocci, Susan Cooper, Elena Guardo, Brian Harbourne, Mike Janssen, Uwe Nagel, Alexandra Seceleanu, Adam Van Tuyl, Thanh Vu
Faculty Work Comprehensive List
Given a squarefree monomial ideal I ⊆ R = k[x1, . . . , xn], we show that α(I), the Waldschmidt constant of I, can be expressed as the optimal solution to a linear program constructed from the primary decomposition of I. By applying results from fractional graph theory, we can then express α(I) in terms of the fractional chromatic number of a hypergraph also constructed from the primary decomposition of I. Moreover, expressing α(I) as the solution to a linear program enables us to prove a Chudnovsky-like lower bound on α(I), thus verifying …
Modeling Fantasy Football Quarterbacks,
2016
Augustana College, Rock Island Illinois
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.
Mathematical Modeling Of Quadcopter Dynamics,
2016
Rose-Hulman Institute of Technology
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 …
Nonlinear Harmonic Modes Of Steel Strings On An Electric Guitar,
2016
Linfield College
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.
A Bi-Stable Switch In Virus Dynamics Can Explain The Differences In Disease Outcome Following Siv Infections In Rhesus Macaques,
2016
Virginia Tech
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.
Patient-Specific Inference Of Average Glucose From Glycated Hemoglobin,
2016
Massachusetts General Hospital
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.
Determinants Of The Efficacy Of Hiv Latency Reversing Agents And Implications For Drug And Treatment Design,
2016
North Carolina State University at Raleigh
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.
A Unified Model Of Pathogenesis Pathways Of Type 2 Diabetes,
2016
National Institutes of Health
A Unified Model Of Pathogenesis Pathways Of Type 2 Diabetes, Joon Ha, Arthur Sherman
Biology and Medicine Through Mathematics Conference
No abstract provided.
Using Mathematical Modeling To Unmask The Concealed Nature Of Long Qt-3 Syndrome,
2016
Virginia Tech
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.
Symmetries Constrain Dynamics In A Family Of Balanced Neural Networks,
2016
Southern Methodist University
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.
A Multi-Level Model Of Synergistic T Cell Activation,
2016
Center for Quantitative Medicine, UConn Health
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.
Anticipating Elimination Of Mosquito-Borne Diseases,
2016
National Institute of Mathematical and Biological Synthesis (NIMBioS)
Anticipating Elimination Of Mosquito-Borne Diseases, Suzanne M. O'Regan, Jonathan Lillie, John M. Drake
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Models Of Biofilm For Antimicrobial Persistence,
2016
University of North Carolina at Chapel Hill
Mathematical Models Of Biofilm For Antimicrobial Persistence, Jia Zhao
Biology and Medicine Through Mathematics Conference
No abstract provided.
Toward Adaptive Control Of Acute Inflammation,
2016
The University of Tennessee, Knoxville
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.
