Search results
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Title
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A partial posterior p value test for multilevel mediation
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Author
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Cox, Kyle, Kelcey, Benjamin
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Date Created
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2023
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Subjects--Topical
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Statistics, Mathematics
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Description
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A variety of inferential tests are available for single and multilevel mediation but most come with notable limitations that balance tradeoffs between power and Type I error. We extend the partial posterior p value method (p3 method) to test multi...
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Title
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RANDOMIZED NUMERICAL LINEAR ALGEBRA FOR KERNEL MATRIX COMPRESSION
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Author
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Maniar, Saumya Kandarp
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Date Created
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2020
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Subjects--Topical
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Mathematics
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Description
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Matrices are used significantly as a medium to store data in many applications likeData Science, Computer Science, Statistics, and Applied Mathematics. Matrix computationslike matrix multiplication, matrix inversion, eigenvalue decomposition, sing...
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Title
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March Madness prediction using quantile regression
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Author
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Mays, Kimberly
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Date Created
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2022
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Subjects--Topical
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Statistics, Mathematics
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Description
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The annual NCAA Division I men’s basketball tournament is one of the most prominent sporting events in the United States and the subject of much interest among fans and statisticians alike. In this work, we propose a new method for predicting ther...
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Title
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Long Concavity of the Power Partition Function
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Author
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Benfield, Brennan
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Date Created
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2020
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Subjects--Topical
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Mathematics
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Description
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The main result of this paper is to prove the log concavity of a particular restricted partition Pk(n) that enumerates the partitions of a positive integer into perfect kth powers. Further investigation utilizing MATHEMATICA software yields numeri...
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Title
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Improved Bounds on a Combinatorial Problem
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Author
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Page, Jacob
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Date Created
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2021
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Subjects--Topical
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Mathematics
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Description
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In this paper, we will define a function $H:\N \rightarrow \N$, whose output is the size of an optimized hypergraph based upon the restraints given by its input values. This function is known to be well-defined, however its values are unknown for ...
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Title
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Limit Cycles in Two Dimensional Systems of Ordinary Differential Equations
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Author
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Rowe, Ashley
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Date Created
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2018
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Subjects--Topical
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Mathematics
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Description
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This thesis concerns cycles, i.e., topological ovals, in the phase portraits of systems of first order ordinary differential equationsin the plane, with an emphasis on limit cycles, cycles that are isolated from all other cycles. These are of fund...
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Title
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Exploring Secondary Classroom Engagement in Mathematics
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Author
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Cline, Jessica
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Date Created
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2022
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Subjects--Topical
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Education, Mathematics, Education, Secondary
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Description
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The term engagement appears in teacher effectiveness models as well as state and federal legislation, including the most recent reauthorization of the Elementary and Secondary Schools Act of 1965 (ESEA), known as the Every Student Succeeds Act (ES...
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Title
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A study of operational variable influencing wheel balancing measurements
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Author
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Nabar, Aneesh
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Date Created
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2016
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Subjects--Topical
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Mechanical engineering, Automobiles--Design and construction, Mathematics
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Description
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The aim of this research is to analyze various operational parameters that may affect the wheel balancing measurement. Therefore, wheel balancing measurements were taken iteratively on different low profile wheel/tire assemblies for different cond...
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Title
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Analytics for Fault Detection and Energy Management in Large Retail Portfolios
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Author
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Raju, Suhas
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Date Created
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2020
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Subjects--Topical
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Power resources, Mathematics, Artificial intelligence
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Description
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Energy managers responsible for large real-estate portfolios typically review Energy Star scores and Energy Use Intensity (EUI) to determine which facilities to target for retrofit or audit. In the case of a large portfolio of small retail facilit...
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Title
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Number Rings and Dedekind Domains
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Author
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Harrison, Mary
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Date Created
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2019
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Subjects--Topical
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Mathematics
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Description
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In this paper, we study number rings and their factorization properties. We begin with an introduction to number fields and number rings. Then we consider the ring Z[i], which is a unique factorization domain, where each element factors uniquely i...
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Title
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Numerical models of COVID-19
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Author
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Cung, Benjamin
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Date Created
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2021
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Subjects--Topical
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Mathematics
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Description
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COVID-19 is an ongoing infectious disease where individuals progress through the following four stages: susceptible (S), exposed (E), infected (I), and recovered (R). The standard mathematical model for the spread of such diseases through a large ...
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Title
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Neumann functions and image systems of the Laplacian in the spheroidal geometry
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Author
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Edmiston, Robert
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Date Created
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2019
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Subjects--Topical
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Mathematics
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Description
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We apply the method of image charges from electrostatics to the study of the Neumannfunction for the Laplace operator, equivalent to the Green's function with a Neumannboundary condition imposed. Such an analysis has previously been given for the ...
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Title
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SOLUTION OF A 1-D INVERSE PROBLEM BY THE CONVEXIFICATION METHOD
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Author
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Abney, Ray
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Date Created
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2019
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Subjects--Topical
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Mathematics, Physics
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Description
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In this thesis, we demonstrate a method outlined by Dr. Mikhail Klibanov for solving a 1-D coefficient inverse problem by the convexification method. Our inverse problem in question concerns finding buried bombs, where the dielectric constants of ...
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Title
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From STM to nanomemory : a transfer of technology feasibility study
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Author
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Miller, Jimmie A.
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Subjects--Topical
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Computer software, Mathematics, Computer science
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Description
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Recent years have seen exponential increase in memory capacity for computer data storage. Increased bit density has been produced by decreasing feature sizes in microelectronic fabrication. As minimum microelectronic feature sizes are realized, ne...
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Title
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Cross-Sectional and Time Series Analysis of Crime Rate Across North Carolina
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Author
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Johnson, Isabella
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Date Created
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2022
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Subjects--Topical
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Statistics, Mathematics
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Description
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Unemployment rate reached an astronomical high in 2020 due to the Covid-19 pandemic.The media began reporting on increasing crime rates due to the unemployment rate rising. The Center for Disease Control (CDC) reported that over 81,000 drug overdo...
