Browsing Dissertations & Theses by Title
Now showing items 87-106 of 173
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Mechanism of Hairpin Vortex Formation by Liutex
(2023-05-11)Turbulence is still a mystery for human after more than one century’s development of fluid dynamics. Hairpin vortex formation is regarded as an essential process for a laminar flow transition to the turbulent flow. A new ... -
A Method For Exact Solutions To Integrable Evolution Equations In 2+1 Dimensions
(Mathematics, 2014-09-17)A systematic method is developed to obtain solution formulas for certain explicit solutions to integrable nonlinear partial differential equations in two spatial variables and one time variable. The method utilizes an ... -
Modeling an M/M/1 Queue with unreliable service and a working vacation
(2019-05-08)We define the new term ’unreliable service’ where the service itself is unreliable (i.e. may fail). We discuss how this differs from the current literature, and give examples showing just how common this phenomena is in ... -
Modeling Plant Virus Propagation and an Optimal Control
(2018-08-10)Plants are a food source for man and many species. They also are sources of medicines, fibers for clothes, and are essential for a healthy environment. But plants are subject to diseases many of which are caused by ... -
A Modeling Study In The Regulation Of Stress On Neuronal Plasticity
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 ... -
MODELING THE EFFECTS OF THE IMMUNE SYSTEM ON BONE FRACTURE HEALING
(2019-05-14)Bone fracture healing is a complex biological process that results in a full reconstruction of the bone. However, it is not always an easy and successful process. Indeed, in some unfavorable conditions, the bone fracture ... -
Multiple Linear Regression Model Of Visceral Leishmaniasis In Bihar, India
(Mathematics, 2009-09-16)Visceral Leishmaniasis (VL) is one of the world's worst parasitic killers, second only to Malaria, claiming nearly 500,000 lives each year. The disease attacks the spleen, liver, and bone marrow, and if left untreated is ... -
New Development of Grid Generation and Image Analysis
(2020-08-05)Image segmentation and registration are indispensable tools for the aid in medical diagnoses by experts. The current gold-standard for image segmentation is manual labeling of pixels by experts which is cumbersome and ... -
New Developments Of The Deformation Method
(Mathematics, 2007-08-23)New developments of deformation method for grid generation are presented in this work. Theorems for three different cases and different methods for implementing deformation method are presented. One of the new developments ... -
A New Method For Non-rigid Registration Of 3d Images
(Mathematics, 2009-09-16)In this dissertation we present a novel method for the nonrigid registration of 3D images using a well-established mathematical framework mostly known as the deformation based grid generation method. The deformation based ... -
New Results In Finite Geometries Pertaining To Albert-like Semifields
(Mathematics, 2012-07-25)One of the most widely studied class of semifields are the generalized twisted fields defined by Albert in the 50s and 60s. The collineation groups of generalized twisted field planes have been completely described. In a ... -
Nilpotent Lie Algebras And Nilmanifolds Constructed From Graphs
The interaction between graph theory and differential geometry has been studied previously, but S. Dani and M. Mainkar brought a new approach to this study by associating a two-step nilpotent Lie algebra (and thereby a ... -
Non-traditional Socio-mathematical Norms In Undergraduate Real Analysis
(Mathematics, 2010-03-03)This study builds upon the framework of classroom norms (Cobb, Wood, & Yackel, 1993) and socio-mathematical norms (Cobb & Yackel, 1996) to understand how non-traditional socio-mathematical norms influence student reasoning ... -
Nonlinear Dynamics And Stochasticity Of Core Genetic Regulation
(Mathematics, 2012-07-25)"Bacillus subtilis" is one of the very well-studied organisms in biology. Recent results show that an alternative competence regulation circuit for this bacterium, differing only in the order of the composite negative ... -
NONPARAMETRIC ADAPTIVE DISTRIBUTION-FREE PROCEDURE FOR CROSSOVER DESIGN WITH REPEATED MEASURES
(2017-05-11)We propose to apply adaptive nonparametric procedures (Hill, Padmanabhan, & Puri, 1988) on 2x2 crossover design with repeated measures. We will derive the test-statistics (based on function of ranks) and find their ... -
NORMALIZED CUT PROBLEMS WITH GENERALIZED LINEAR CONSTRAINTS
(2019-08-30)Several methods are used to process images in many fields, including clustering, image segmentation and medical imaging. The so-called graph-cut methods in graph theory are widely used for image segmentation. In these ... -
NUMBER SENSE IN HIGH SCHOOL MATHEMATICS STUDENTS
(2016-01-08)Understanding the real number system plays a very important role in each student’s mathematical achievement. The Texas Essential Knowledge and Skills (TEKS) for Mathematics Subchapter A. Elementary states, “For students ... -
Numerical Construction of Diffeomorphism and the Applications to Grid Generation and Image Registration
(2016-08-12)Diffeomorphism is an active research topic in differential geometry. In this area, the existence and construction of diffeomorphism under certain constraints is an interesting and meaningful task. J. Moser first proved the ... -
Numerical Integration Of Matrix Riccati Differential Equations With Solution Singularities
(Mathematics, 2013-07-22)A matrix Riccati differential equation (MRDE) is a quadratic ODE of the form X' = A₂₁ + A₂₂X - XA₁₁ - XA₁₂X ; where X is a function of t with X : R Rnxm and the Aij's are constant or functions of t with matrix sizes ... -
Numerical LES For MVG Controlled Supersonic Ramp Flow
(Mathematics, 2014-12)An implicitly implemented large eddy simulation by using the fifth order bandwidth-optimized WENO scheme is applied to make comprehensive studies on ramp flows with micro-ramp vortex generators (MVG) at Mach 2.5 and Re=5760. ...