Physical Sciences and Mathematics Commons^™

Constructible Sandwich Cut, Philip A. Son

FIU Undergraduate Research Journal

In mathematical measure theory, the “Ham-Sandwich” theorem states that any n objects in an n-dimensional Euclidean space can be simultaneously divided in half with a single cut by an (n-1)-dimensional hyperplane. While it guarantees its existence, the theorem does not provide a way of finding this halving hyperplane, as it is only an existence result. In this paper, we look at the problem in dimension 2, more in the style of Euclid and the antique Greeks, that is from a constructible point of view, with straight edge and compass. For two arbitrary regions in the plane, there is certainly no …

Fuzzy Mathematics Under Non-Minimal "And"-Operations (T-Norms): Equivalence Leads To Metric, Order Leads To Kinematic Metric, Topology Leads To Area Or Volume, Purbita Jana, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

Most formulas analyzed in fuzzy mathematics assume -- explicitly or implicitly -- that the corresponding "and"-operation (t-norm) is the simplest minimum operation. In this paper, we analyze what happens if instead, we use other "and"-operations. It turns out that for such operations, a fuzzification of a mathematical theory naturally leads to a more complex mathematical setting: fuzzification of equivalence relation leads to metric, fuzzification of order leads to kinematic metric, and fuzzification of topology leads to area or volume.

Area Activity, Admin Stem For Success

STEM for Success Showcase

Lesson plan to teach students about area including an activity plan, activity description, activity video, and additional activity materials

Effects Of Landscape Structure On Plants Species Richness In Small Grassland Remnants In Two Different Landscapes, S. A. O. Cousins, O. Eriksson

IGC Proceedings (1993-2023)

There is an increasing interest in using the landscape as the operational scale in many ecological studies. Current species richness in the landscape may be explained by past land use, and habitats may harbour species favoured by an environment that no longer exists. In this study we have included both a landscape scale and a temporal scale. The objective was to explain species pattern and the effect of isolation, habitat size and surrounding land use, and past land use change, on small grassland remnants in rural landscapes.

Association Between Neighborhood Social Deprivation And Stage At Diagnosis Among Breast Cancer Patients In South Carolina, Oluwole Adeyemi Babatunde, Whitney Zahnd Ph.D., Jan Eberth Ph.D., Andrew B. Lawson, Swann Arp Adams, Eric Adjei Boakye, Melanie S. Jefferson, Caitlin G. Allen, John L. Pearce, Hong Li, Chanita Hughes Halbert

Faculty Publications

The purpose of this study was to examine the association between neighborhood social deprivation and individual-level characteristics on breast cancer staging in African American and white breast cancer patients. We established a retrospective cohort of patients with breast cancer diagnosed from 1996 to 2015 using the South Carolina Central Cancer Registry. We abstracted sociodemographic and clinical variables from the registry and linked these data to a county-level composite that captured neighborhood social conditions—the social deprivation index (SDI). Data were analyzed using chi-square tests, Student’s t-test, and multivariable ordinal regression analysis to evaluate associations. The study sample included 52,803 female patients …

Floor Plan Assignment In Elementary Mathematics Education, Tunde Jakab

Open Educational Resources

In this upper elementary mathematics education assignment, the prospective teachers gain hands-on experience in measuring distances in feet and inches, calculating areas, and converting distance and area measurements. Moreover, they solve a real-life situation by choosing the most economical tiles for their kitchen. This last part (3) of the assignment develops critical thinking and expressing one's thought processes. Part 3 can be used as an in-class discussion, which further promotes reasoning skills.

Area Of Irregular Shaped Roof, Omar Alkhawaldeh

Undergraduate Journal of Mathematical Modeling: One + Two

This project makes use of calculus, specifically integration, to find the exact area of a roof garden to minimize the cost of material used in flooring it. Since the roof is of irregular shape, it is divided into four sections, the integral of each section is taken, and a relationship between the integrals is generated. Positive results are found, and the data reveal that the area of the grass floor is 175.3 m² while the area of the wooden floor is 23.4 m² with the total price being 2472 US dollars.

Area-Delay Efficient Radix-4 8×8 Booth Multiplier For Dsp Applications, Subodh Singhal, Sujit Patel, Anurag Mahajan, Gaurav Saxena

Turkish Journal of Electrical Engineering and Computer Sciences

Booth multiplier is the key component in portable very large-scale integration (VSLI) systems enabled with signal and image processing applications. The area, delay, and energy are the major constraints in these systems. Therefore, in this paper, a detailed analysis of the state-of-the-art Booth multiplier architecture and its various internal units are presented to find the scope of optimization. Based on the finding of analysis, optimized new binary to 2's complement (B2C), Booth encoder-cum-selector type-1 and type-2, and partial product addition units are proposed. Furthermore, using these optimized units, an efficient parallel radix-4 8×8 Booth multiplier architecture is proposed. The simulation …

Research On The Remote Sensing Monitoring Ecological Environmental Changes In Hulun Lake Area, Narisu, Gegentu

IGC Proceedings (1993-2023)

No abstract provided.

Question 1: Car Flip; Question 2: A Mole Of People, Larry Weinstein

Physics Faculty Publications

Consider mass, area, power, and food requirements. For more Fermi questions and answers, see Guesstimation 2.0: Solving Today's Problems on the Back of a Napkin, by Lawrence Weinstein (Princeton University Press, 2012). [Extracted from artcle]

Using Literature To Engage Students Mathematically, Ann Wheeler, Joe Champion, Holly Dybvig

Mathematics Faculty Publications and Presentations

In this article, the authors share two lessons that incorporate children’s literature with the Pythagorean theorem and area to engage preservice teachers (PSTs) mathematically. Sample responses, example texts, and future work are discussed.

Calculus Application To Topographic Mapping, Veronica Zapata

Undergraduate Journal of Mathematical Modeling: One + Two

The goal of the paper is to find the volume of water in a ditch. An example image of ditch is given in Appendix C. The first act that before any calculation can be performed is to record the field work. Once at the property the ditch must be identified. Three points of elevations per section should be measured by the surveyor; one point is at the center of the ditch (the lowest point) and the two ones are at the ends (the highest points). The sections are detailed in Appendix A. Using the elevation points from the property, we …

Thinking Outside The Box: Computing 3d Volume In 2d, Alexandra D. Morris

Senior Projects Fall 2017

This project explores how to compute 3D volume of cardboard boxes in 2D without a calibrated camera. Computer vision techniques to obtain 3D volume typically require camera calibration, the standard method for mapping 3D points to 2D. We created our own solution that doesn’t rely on camera calibration and obtains the areas of each box with unknown dimensions with the help of a chessboard pattern placed on each box side. The solution is a proportion that given the box area in pixels, chessboard pattern in pixels, and the chessboard pattern in inches, determines the box area in inches. We tested …

Effects Of Climate Oscillations On Wildland Fire Potential In The Continental United States, Shelby A. Mason, Peter E. Hamlington, Benjamin D. Hamlington, W. Matt Jolly, Chad M. Hoffman

OES Faculty Publications

The effects of climate oscillations on spatial and temporal variations in wildland fire potential in the continental U.S. are examined from 1979 to 2015 using cyclostationary empirical orthogonal functions (CSEOFs). The CSEOF analysis isolates effects associated with the modulated annual cycle and the El Nino-Southern Oscillation (ENSO). The results show that, in early summer, wildland fire potential is reduced in the southwest during El Nino but is increased in the northwest, with opposite trends for La Nina. In late summer, El Nino is associated with increased wildland fire potential in the southwest. Relative to the mean, the largest impacts of …

Fact Sheet: Comparison Of Land Rights And Native Title In Nsw, New South Wales Aboriginal Land Council

Indigenous Water Justice Symposium (June 6)

Presenter: Phil Duncan, Gomeroi Nation, New South Wales Aboriginal Land Council

3 pages

Contains footnotes

"Land Rights and Native Title in NSW"

"October 2012"

"This document has been prepared by the New South Wales Aboriginal Land Council (NSWALC) for Local Aboriginal Land Councils (LALCs) and Aboriginal communities in NSW. NSWALC acknowledges the assistance of NTSCORP Limited (NTSCORP) in the development of this Fact Sheet."--Last page

Area And Volume Where Do The Formulas Come From?, Roger Yarnell

Masters Essays

No abstract provided.

Correlation Of Impedance And Effective Electrode Area Of Dextran Sulfate Doped Pedot Modified Electrodes, Alexander R. Harris, Robyn C. Hutchinson, Paul J. Molino, Robert M. I Kapsa, Graeme M. Clark, Antonio G. Paolini, Gordon G. Wallace

Australian Institute for Innovative Materials - Papers

The impedance of electrodes at 1 kHz is typically reported to assess the signal-to-noise ratio of neural recording electrodes. The impedance response of platinum electrodes modified by poly-3,4-ethylenedioxythiophene doped with dextran sulfate has been examined. The modified electrodes have lower impedance at low and intermediate frequencies compared to unmodified electrodes. The impedance and phase angle at low frequencies is strongly correlated with the electrode area. The geometric and linear diffusion charge densities of the modified electrodes are also dependent on the electrode area and impedance at low frequencies. A 3 time constant equivalent circuit provided a better fit to the …

Effective Area And Charge Density Of Chondroitin Sulphate Doped Pedot Modified Electrodes, Alexander R. Harris, Paul J. Molino, Antonio G. Paolini, Gordon G. Wallace

Australian Institute for Innovative Materials - Papers

Neural electrodes have been coated with electrodeposited poly-3,4-ethylenedioxythiophene doped with chondroitin sulphate. Optical and electrochemical methods were used to determine the effective electrode area, charge injection capacity and charge density of the modified electrodes. Deposition times of 15 to 60 s slightly increased the geometric and steady state diffusion electroactive areas while the linear diffusion electroactive area grew significantly, indicating an increase in electrode roughness. The effective electrode area and charge injection capacity were significantly smaller than PEDOT doped with previously tested dopants. In contrast to other dopant ions, the charge density determined from the geometric and steady state diffusion …

Polygon Distances With Applications To High Performance Liquid Chromatography, Vito Capuano

All Theses

Analytical chemistry uses high performance liquid chromatography (HPLC) to separate desired macromolecules from a fluid. This thesis is concerned with monolithic column environments used in HPLC separations. The monolithic column environment under consideration consists of many long polymer fibers suspended in a tube. Between the fibers are voids (interstices) which regulate the separation process. The goal of this thesis is both to identify interstices of a size such that the interstice contributes to the separation process, and to identify the boundaries of the fibers along such interstices. We model the cross section of the column environment with a collection of …

Probe Current Determination In Analytical Tem/Stem And Its Application To The Characterization Of Large Area Eds Detectors, David R. G Mitchell, Mitchell John Bromley Nancarrow

Australian Institute for Innovative Materials - Papers

A simple procedure, which enables accurate measurement of transmission electron microscopy (TEM)/STEM probe currents using an energy loss spectrometer drift tube is described. The currents obtained are compared with those measured on the fluorescent screen to enable the losses due to secondary and backscattered electrons to be determined. The current values obtained from the drift tube allow the correction of fluorescent screen current densities to yield true current. They also enable CCD conversion efficiencies to be obtained, which in turn allows images to be calibrated in terms of electron fluence. Using probes of known current in conjunction with a NiO …

Annual Parasite Incidence Malaria Di Kabupaten Banyumas, Dwi Sarwani Sri Rejeki, Ruthi Armita Sari, Nunung Nurhayati

Kesmas

Kabupaten Banyumas merupakan kabupaten endemis malaria di Provinsi Jawa Tengah. Data Dinas Kesehatan Kabupaten Banyumas tahun 2008 - 2013 menunjukkan angka annual paracite incidence (API) yang selalu mengalami fluktuasi. Dari 27 kecamatan, 22 di antaranya termasuk dalam kategori medium case incidence (MCI) dan low case incidence (LCI). Faktor lingkungan, perilaku, sosial ekonomi, dan iklim berdampak pada tinggi rendahnya kejadian malaria. Tujuan penelitian adalah mengetahui faktor yang berhubungan dengan API di Kabupaten Banyumas. Data dikumpulkan dari Januari 2011 - Desember 2013 menggunakan penelitian analitik dengan rancangan penelitian potong lintang dan menggunakan data sekunder dari Dinas Kesehatan, Dinas Pertanian, dan Badan Pusat …

Optical And Electrochemical Methods For Determining The Effective Area And Charge Density Of Conducting Polymer Modified Electrodes For Neural Stimulation, Alexander R. Harris, Paul Molino, Robert M. I Kapsa, Graeme M. Clarke, Antonio Paolini, Gordon G. Wallace

Australian Institute for Innovative Materials - Papers

Neural stimulation is used in the cochlear implant, bionic eye, and deep brain stimulation, which involves implantation of an array of electrodes into a patient's brain. The current passed through the electrodes is used to provide sensory queues or reduce symptoms associated with movement disorders and increasingly for psychological and pain therapies. Poor control of electrode properties can lead to suboptimal performance; however, there are currently no standard methods to assess them, including the electrode area and charge density. Here we demonstrate optical and electrochemical methods for measuring these electrode properties and show the charge density is dependent on electrode …

Large Scale Production Of Novel G-C3n4 Micro Strings With High Surface Area And Versatile Photodegradation Ability, Muhammad Nawaz Tahir, Chuanbao Cao, Faheem K. Butt, Sajid Butt, Faryal Idrees, Zulfiqar Ali, Imran Aslam, M Tanveer, Asif Mahmood, Nasir Mahmood

Australian Institute for Innovative Materials - Papers

An easy, scalable and environmentally benign chemical method has been developed to synthesize micro strings of graphitic-C3N4 (msg-C3N4) through pre-treatment of melamine with HNO 3 in alkaline solvent at low temperature. This methodology results in a unique string type morphology of msg-C3N4 with higher surface area. These msg-C3N4 micro strings were used as a photocatalyst under visible light for photodegradation of rhodamine B, methyl blue and methyl orange. The msg-C3N4 shows enhanced photodegradation efficiency due to its high surface area and favourable bandgap. The first order rate constant for msg-C3N4 was measured which confirms the higher performance of msg-C3N4 in …

Small-Area Estimation: An Appraisal - Comment, Noel A. Cressie, Mark S. Kaiser

Professor Noel Cressie

Malay Ghosh and Jon Rao have presented us with a well written exposition of the topic of small area estimation. The past literature has been de-cidedly influenced by linear modeling, and we see that clearly in their paper. There has also been a tendency to judge the performance of the estimation methods by concentrating on a single, arbitrary small area. In our comment, we shall discuss what opportunities there might be to expand the class of statistical models for small area data and to consider multivariate aspects of small area estimation.

Microwave Characterization Of Carbon Nanotube Yarns For Uwb Medical Wireless Body Area Networks, Syed Muzahir Abbas, Oya Sevimli, Michael C. Heimlich, Karu P. Esselle, B Kimiaghalam, Javad Foroughi, Farzad Safaei

Australian Institute for Innovative Materials - Papers

Carbon nanotube (CNT) yarns are novel CNT-based materials that extend the advantages of CNT from the nanoscale to macroscale applications. In this study, we have modeled CNT yarns as potential data transmission lines. Test structures have been designed to measure electrical properties of CNT yarns, which are attached to these test structures using gold paste. DC testing and microwave S-parameter measurements have been conducted for characterization. The observed frequency independent resistive behavior of the CNT yarn is a very promising indicator that this material, with its added values of mechanical resilience and thermal conductivity, could be invaluable for a range …

Incorporating Calculus Concepts Into A Middle School Classroom, Randie Barbera Bailey

LSU Master's Theses

The Common Core State Standards for Mathematics were released in June of 2010 and full implementation into our schools is being required in the fall of 2013. The standards require teachers and students to be more focused and rigorous in what they teach and learn. This shift in learning towards focus, coherence, fluency, deep understanding, and applications was to improve math education in the United States so that our students become more competitive in the global economy of the 21st century and to help more students to be college and career ready by grade twelve. It is now necessary for …

Voltage Quality Behaviour Of A Wind Turbine Based Remote Area Power System, Nishad Mendis, Kashem Muttaqi, Sarath Perera

Associate Professor Sarath Perera

The power quality behaviour of a Remote Area Power System (RAPS) consisting of a Doubly Fed Induction Generator (DFIG), its main loads and a dummy load is presented in this paper. The dummy load is used to maintain the power balance of the system under changing wind and loading conditions. The performance of the remote area power system subject to various loading conditions has been evaluated in terms of the voltage quality, an aspect which has not received much attention in the past. The existing Distributed Generation (DG) power quality standards are taken as the basis to compare the voltage …

Voltage Quality Behaviour Of A Wind Turbine Based Remote Area Power System, Nishad Mendis, Kashem Muttaqi, Sarath Perera

Associate Professor Kashem Muttaqi

The power quality behaviour of a Remote Area Power System (RAPS) consisting of a Doubly Fed Induction Generator (DFIG), its main loads and a dummy load is presented in this paper. The dummy load is used to maintain the power balance of the system under changing wind and loading conditions. The performance of the remote area power system subject to various loading conditions has been evaluated in terms of the voltage quality, an aspect which has not received much attention in the past. The existing Distributed Generation (DG) power quality standards are taken as the basis to compare the voltage …

Optimisation Of Component Sizes For A Hybrid Remote Area Power Supply System, Saad M. Sayeef, Nishad Mendis, Kashem Muttaqi

Associate Professor Kashem Muttaqi

In this paper, an optimisation model for determination of the optimal sizes of various system components, including wind, diesel and energy storage, has been developed to obtain a reliable and cost-effective wind-diesel hybrid remote area power supply (RAPS) system. A linear programming based cost minimisation algorithm has been formulated for determination of optimal sizes of various components in a RAPS system with consideration of continually varying wind and system load. The system constraints, including power balance for both under-generation and over-generation scenarios, have been considered in the optimisation formulation. Optimisation model to minimize the total cost of the system based …

Computed Tomography Reconstruction: Investigating The Effect Of Varying Circle Diameter, William F. Sanders Iv

Browse all Theses and Dissertations

In Computed Tomography (CT) reconstruction, several methods for determining the intensity of individual pixels from the back-projection of the scanned profiles exist. The standard reconstruction method uses linear interpolation between ray values to determine pixel intensity. This study quantifies the effects of varying circle diameter on the accuracy of an alternative method where the pixel is approximated as a circle and the area contributions calculated.

A library of 104 scans in 3 image families was created by a synthetic CT scanner and reconstructed with circle radii from 0.1 to 1.0 pixel in 0.1 pixel steps. Images were compared against a …