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Hands-On Activities And Activities Involving Technology To Help Students Construct Concepts And Gain A Deeper Understanding And Appreciation For Mathematical Concepts Based On The Utah Core Curriculum For Algebra Ii, Brookeann Watterson
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
Research shows there are several methods that expand students' understanding, appreciation for, and interest in mathematics by following teaching strategies. These strategies include incorporating hands-on activities, technology, discovery learning, cooperative learning, and having activities be applicable to real world contexts. This project focuses specifically on activities based on objectives from the Utah State Core for Algebra II that incorporate such strategies in five units: (I) absolute value, (2) exponential growth /decay and logarithms, (3) trigonometric functions, (4) probability, permutations and combinations, and (5) statistics.
Coupled Dipole Method For Modeling Optical Properties Of Large-Scale Random Media, S. Sukhov, D. Haefner, A. Dogariu
Coupled Dipole Method For Modeling Optical Properties Of Large-Scale Random Media, S. Sukhov, D. Haefner, A. Dogariu
Faculty Bibliography 2000s
We present an extension of the coupled dipole approximation technique to model optical properties of large-scale slabs of homogeneous and inhomogeneous materials. This method is based on a modification of the Green's function to take into account the interaction between dipoles located at arbitrary distances within the slab. This method allows modeling of various aspects of the structural morphology of composite materials, including component size and spatial distribution as well as surface roughness effects. Our procedure provides an adequate description of far-field optical properties such as the specular and diffuse reflection of light.
Elastic Modulus Of Viral Nanotubes, Yue Zhao, Zhibin Ge, Jiyu Fang
Elastic Modulus Of Viral Nanotubes, Yue Zhao, Zhibin Ge, Jiyu Fang
Faculty Bibliography 2000s
We report an experimental and theoretical study of the radial elasticity of tobacco mosaic virus (TMV) nanotubes. An atomic force microscope tip is used to apply small radial indentations to deform TMV nanotubes. The initial elastic response of TMV nanotubes can be described by finite-element analysis in 5 nm indentation depths and Hertz theory in 1.5 nm indentation depths. The derived radial Young's modulus of TMV nanotubes is 0.92 +/- 0.15 GPa from finite-element analysis and 1.0 +/- 0.2 GPa from the Hertz model, which are comparable with the reported axial Young's modulus of 1.1 GPa [Falvo et al., Biophys. …
A Mathematical Model For Computerized Car Crash Detection Using Computer Vision Techniques, Dawn Marie Strianese
A Mathematical Model For Computerized Car Crash Detection Using Computer Vision Techniques, Dawn Marie Strianese
UNLV Retrospective Theses & Dissertations
My proposed approach to the automatic detection of traffic accidents in a signalized intersection is presented here. In this method, a digital camera is strategically placed to view the entire intersection. The images are captured, processed and analyzed for the presence of vehicles and pedestrians in the proposed detection zones. Those images are further processed to detect if an accident has occurred; The mathematical model presented is a Poisson distribution that predicts the number of accidents in an intersection per week, which can be used as approximations for modeling the crash process. We believe that the crash process can be …
Mathematical Model To Simulate A Hybrid Lighting System, Ahmad Abu Heiba
Mathematical Model To Simulate A Hybrid Lighting System, Ahmad Abu Heiba
UNLV Retrospective Theses & Dissertations
Hybrid solar lighting (HSL) technology is a relatively new technology to utilize natural sunlight along with the traditional electric lighting to light the interior spaces. HSL systems concentrate the sunlight onto a bundle of optical fibers. The optical fibers are routed into the interior space and coupled with cylindrical rods to diffuse the light. A lighting sensor modulates the amount of electric energy depending on the amount of natural light available; This study presents a simplified mathematical model to predict the output of the HSL system based on the amount of the available solar radiation. The model is verified via …
The Mathematical In Heidegger And Badiou, Dylan Armstrong Wade
The Mathematical In Heidegger And Badiou, Dylan Armstrong Wade
LSU Master's Theses
In this thesis I am tracing the historical development of subjectivity from its skeptical foundation in Descartes to Alain Badiou’s subject as fidelity to truth. Drawing from Martin Heidegger’s What is a Thing?, this history begins with the turn from an Aristotelian to a Newtonian apprehension of motion, turning towards an a priori mathematical projection of spatial uniformity, such that there are no longer different places – only quantifiable distance. It is on the basis of this turning away from tradition, or ordinary experience of different phenomena, that Descartes posits the self-certain I-pole. Heidegger criticizes modernity, defined as the merging …