Department of Mathematics: Recent submissions
Now showing items 21-40 of 570
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Twisting Systems and some Quantum P³s with Point Scheme a Rank-2 Quadric
(2022-05-18)In 1996, J. J. Zhang introduced the concept of twisting a graded algebra by a twisting system, which generalizes the concept of twisting a graded algebra by an automorphism (the latter concept having been introduced in an ... -
OPTION PRICING WITH INVESTMENT STRATEGY UNDER STOCHASTIC INTEREST RATES
(2021-05-06)Equity options are the most common types of financial derivatives that give an investor the right but not the obligation to buy or sell shares of stock at a given price in the future for a premium (option price) paid at ... -
LIUTEX ANALYSIS BY POD AND DMD IN TURBULENT FLOW AFTER/ IN MICRO VORTEX GENERATOR
(2021-12-06)Although vortex has been studied more than one hundred year, we still have not had universally accepted definition. A few well-known vortex identification methods are introduced 𝑄,∆, 𝜆2,𝜆𝑐𝑖 criteria to identify coherent ... -
OPTIMAL TREATMENT STRATEGIES FOR CANCER PATIENTS IN TERMS OF SURVIVAL MONTHS AND SOCIO-ECONOMIC FACTORS
(2020-05-29)One of the main challenges of cancer patients and their healthcare providers is making decisions regarding choosing the best treatment option. In the first part of thesis, we analyze breast cancer patients’ data to discover ... -
Exponential Tensor Modules
(2022-06-02)Representation theory of Lie algebra of a finite dimensional reductive Lie algebra g is a long-standing problem. The ultimate goal is to classify all representations of g. However. the only case only case when a complete ... -
Quantized Enveloping Superalgebra of Type P
(2022-05-09)We introduce a new quantized enveloping superalgebra $\mathfrak{U}_q\mathfrak{p}_n$ attached to the Lie superalgebra $\mathfrak{p}_n$ of type P. The superalgebra $\mathfrak{U}_q\mathfrak{p}_n$ is a quantization of a Lie ... -
Likelihood Inference for Flexible Cure Rate Models in the Context of Infectious Diseases with Multiple Exposures
(2020-09-01)Cure rate models are mostly used to study data arising from cancer clinical trials. Its use in the context of infectious diseases has not been explored well. In 2007, Tournoud and Ecochard rst proposed a mechanistic ... -
LIUTEX AND STATISTICAL ANALYSIS FOR FLUID TRANSITION
(2021-08)A vortex can be intuitively recognized as the rotational swirling motion of the fluids. The fascination of this phenomenon brought about many years of research to define, classify, and identify the vortical structure. ... -
DECOUPLING-BASED APPROACH TO CENTRALITY DETECTION IN HETEROGENEOUS MULTILAYER NETWORKS
(2021-08-13)Graph analysis is one of the techniques widely used for data analysis. It is used extensively on single graphs. Its ability to capture entities and relationships makes it an attractive data model. Search on graphs, such ... -
COMPRESSIVE DECONVOLUTION OF MRI IMAGING VIA ℓ1 − ℓ2 REGULARIZATION
(2021-08-09)The evolution of technology has drastically impacted the imaging field, particularly magnetic resonance imaging (MRI). Compared to other imaging technologies, MRI offers multiple contrasting mechanisms to distinguish tissues ... -
LIUTEX-BASED VORTEX IDENTIFICATION METHODS AND THEIR APPLICATION IN DNS STUDY OF FLAT PLATE BOUNDARY LAYER TRANSITION
(2021-07-26)Vortices are intuitively known as the rotational motion of fluid particles, however, unambiguous and universally accepted methods of vortex definition and identification are not available to date in the literature. ... -
A NOVEL SUPERVISED DIMENSIONALITY REDUCTION METHOD: INTEGRATING PCA WITH SVM
(2021-07-06)Data curation and storage methods have changed over the past few decades with the use of new technologies, and gathering data on a huge number of features (dimensions) is now very common among diverse scientific and ... -
A Study on Approximations of Totally Acyclic Complexes
(2021-08-23)Let $R$ be a commutative local ring to which we associate the subcategory $\Ktac(R)$ of the homotopy category of $R$-complexes, consisting of totally acyclic complexes. Further suppose there exists a surjection of Gorenstein ... -
The Natural Middle of a Complete Resolution
(2021-08-23)It is widely known that minimal free resolutions of a module over a complete intersection ring have nice patterns that arise in their Betti sequences. In the late 1990's Avramov, Gasharov and Peeva defined a new class of ... -
Compromised axonal functionality after neurodegeneration, concussion and/or traumatic brain injury
(Springer Nature, 2014-06)**Please note that the full text is embargoed** ABSTRACT: Axonal swellings are almost universal in neurodegenerative diseases of the central nervous system, including Alzheimer’s and Parkinson’s disease. Concussions and ... -
Reaction time impairments in decision-making networks as a diagnostic marker for traumatic brain injuries and neurological diseases
(Springer Nature, 2017-04)**Please note that the full text is embargoed** ABSTRACT: The presence of diffuse Focal Axonal Swellings (FAS) is a hallmark cellular feature in many neurological diseases and traumatic brain injury. Among other things, ... -
Identifying Critical Regions for Spike Propagation in Axon Segments
(Springer, 2013-07)**Please note that the full text is embargoed** ABSTRACT: Morphological reconstructions of axon segments reveal the abundance of geometrical ultrastructures that can dramatically affect the propagation of Action Potentials ... -
PRECISION MEDICINE: GENE AND CLINICAL DATA ANALYSIS OF RENAL CANCER
(2020-05-12)Recent advances in biotechnology led to generation of large complex biological and clinical data sets that can be used to infer the underlying mechanism of many diseases and arrive at personalized treatments. One of these ... -
SOME QUADRATIC QUANTUM P³s WITH A LINEAR ONE-DIMENSIONAL LINE SCHEME
(2021-05-20)It is believed that quadratic Artin-Shelter regular (AS-regular) algebras of global dimension four (sometimes called quadratic quantum P3s can be classified using a geometry similar to that developed in the 1980’s by ... -
EXPLORING DEVELOPMENT OF PROBLEM SOLVING STRATEGIES IN EMERGING MATHEMATICIANS
(2021-04-29)To solve an unfamiliar mathematics problem, students of the subject must know more than the appropriate prerequisite content knowledge. They must also know how best to strategically apply their knowledge, how to monitor ...