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Pages
 Title
 Reduced path systems and superedgegraceful trees.
 Creator
 Gottipati, Chenchu B., Locke, Stephen C., Graduate College
 Date Issued
 20130412
 PURL
 http://purl.flvc.org/fcla/dt/3361301
 Subject Headings
 Mathematics, Path analysis
 Format
 Document (PDF)
 Title
 FACTOR ANALYSIS AS A TECHNIQUE FOR ECONOMICS.
 Creator
 ISLEY, PHYLLIS W., Florida Atlantic University, Stronge, William B., College of Business, Department of Economics
 Abstract/Description

This thesis focuses on factor analysis as a technique. It thus includes a survey of the various factor mode ls, their theory and mathematical development, a survey of its previous use for empirical studies in economics, and empirical tests of sensitivity of alternative factor techniques. From the results of the sensitivity test it was concluded that different factor techniques yield very similar results and that factor techniques are of value for empirical studies in economics.
 Date Issued
 1974
 PURL
 http://purl.flvc.org/fcla/dt/13650
 Subject Headings
 Factor analysis, Economics, Mathematical
 Format
 Document (PDF)
 Title
 Cladistic analysis of juvenile and adult hominoid cranial shape variables.
 Creator
 DiVito, Thomas A. II, Dorothy F. Schmidt College of Arts and Letters, Department of Anthropology
 Abstract/Description

Phylogenies constructed from skeletal data often contradict those built from genetic data. This study evaluates the phylogenetic utility of adult male, female, and juvenile hominoid cranial bones. First, I used geometric morphometric methods to compare the cranial bone shapes of seven primate genera (Gorilla, Homo, Hylobates, Macaca, Nomascus, Pan, and Pongo). I then coded these shapes as continuous characters and constructed cladograms via parsimony analysis for the adult male, female, and...
Show morePhylogenies constructed from skeletal data often contradict those built from genetic data. This study evaluates the phylogenetic utility of adult male, female, and juvenile hominoid cranial bones. First, I used geometric morphometric methods to compare the cranial bone shapes of seven primate genera (Gorilla, Homo, Hylobates, Macaca, Nomascus, Pan, and Pongo). I then coded these shapes as continuous characters and constructed cladograms via parsimony analysis for the adult male, female, and juvenile character matrices. Finally, I evaluated the similarity of these cladograms to one another and to the genetic phylogeny using topological distance software. Cladograms did not differ from one another or the genetic phylogeny less than comparisons of randomly generated trees. These results suggest that cranial shapes are unlikely to provide accurate phylogenetic information, and agree with other analyses of skeletal data that fail to recover the molecular phylogeny (Collard & Wood, 2000, 2001; Springer et al., 2007).
Show less  Date Issued
 2011
 PURL
 http://purl.flvc.org/FAU/3175013
 Subject Headings
 Cladistic analysis, Mathematics, Morphology, Mathematics, Hominids, Evolution, Evolutionary genetics, Mathematics
 Format
 Document (PDF)
 Title
 Dynamic response and stability of viscoelastic structures by interval mathematics.
 Creator
 Duan, Dehe., Florida Atlantic University, Elishakoff, Isaac
 Abstract/Description

It is demonstrated in this thesis that the interval mathematics is a powerful tool to deal with uncertain phenomena especially when the uncertainty in bounded. In this thesis, we apply interval mathematics to several engineering problems, apparently for the first time in the world literature. The following topics are included: (1) The application of interval mathematics in several applied mechanics problems. A brief review of basis concepts is given, and some problems are presented to...
Show moreIt is demonstrated in this thesis that the interval mathematics is a powerful tool to deal with uncertain phenomena especially when the uncertainty in bounded. In this thesis, we apply interval mathematics to several engineering problems, apparently for the first time in the world literature. The following topics are included: (1) The application of interval mathematics in several applied mechanics problems. A brief review of basis concepts is given, and some problems are presented to illustrate the application of interval mathematics. (2) The stability and dynamic response of viscoelastic plate are studied. The effect of viscoelastic parameters on critical velocity is elucidated. (3) The application of QiuChenElishakoff theorem in uncertain string and beam problems is investigated.
Show less  Date Issued
 1994
 PURL
 http://purl.flvc.org/fcla/dt/15090
 Subject Headings
 Interval analysis (Mathematics), Viscoelasticity, Fractional calculus
 Format
 Document (PDF)
 Title
 SOLVING V.I. ARNOLD’S PROBLEM ABOUT ASYMPTOTIC ENUMERATION OF MORSE FUNCTIONS ON THE 2SPHERE: A COMBINATORIAL AND ANALYTIC APPROACH WITH COMPUTER ASSISTED PROOFS.
 Creator
 Dhakal, Bishal, MirelesJames, Jason, Florida Atlantic University, Department of Mathematical Sciences, Charles E. Schmidt College of Science
 Abstract/Description

The goal of this dissertation is to estimate the precise asymptotics for the number of geometric equivalence classes of Morse functions on the 2sphere. Our approach involves utilizing the Lagrange inversion formula, Cauchy’s coefficient formula, and the saddle point method for the asymptotic analysis of contour integrals to analyze the generating function derived by L. Nicolaescu, expressed as the inverse of an elliptic integral. We utilize complex analysis, nonlinear functional analysis in...
Show moreThe goal of this dissertation is to estimate the precise asymptotics for the number of geometric equivalence classes of Morse functions on the 2sphere. Our approach involves utilizing the Lagrange inversion formula, Cauchy’s coefficient formula, and the saddle point method for the asymptotic analysis of contour integrals to analyze the generating function derived by L. Nicolaescu, expressed as the inverse of an elliptic integral. We utilize complex analysis, nonlinear functional analysis in infinite sequence spaces, and interval arithmetic to write all the necessary MATLAB programs that validate our results. This work answers questions posed by Arnold and Nicolaescu, furthering our understanding of the topological properties of Morse functions on twodimensional manifolds. It also demonstrates the effectiveness of a computer assisted approach for asymptotic analysis.
Show less  Date Issued
 2023
 PURL
 http://purl.flvc.org/fau/fd/FA00014264
 Subject Headings
 Manifolds (Mathematics), Morse theory, Combinatorial analysis
 Format
 Document (PDF)
 Title
 PARAMETERIZATION OF INVARIANT CIRCLES IN MAPS.
 Creator
 Blessing, David Charles, James, J. D. James, Florida Atlantic University, Department of Mathematical Sciences, Charles E. Schmidt College of Science
 Abstract/Description

We explore a novel method of approximating contractible invariant circles in maps. The process begins by leveraging improvements on Birkhoff's Ergodic Theorem via Weighted Birkhoff Averages to compute high precision estimates on several Fourier modes. We then set up a Newtonlike iteration scheme to further improve the estimation and extend the approximation out to a sufficient number of modes to yield a significant decay in the magnitude of the coefficients of high order. With this...
Show moreWe explore a novel method of approximating contractible invariant circles in maps. The process begins by leveraging improvements on Birkhoff's Ergodic Theorem via Weighted Birkhoff Averages to compute high precision estimates on several Fourier modes. We then set up a Newtonlike iteration scheme to further improve the estimation and extend the approximation out to a sufficient number of modes to yield a significant decay in the magnitude of the coefficients of high order. With this approximation in hand, we explore the phase space near the approximate invariant circle with a form numerical continuation where the rotation number is perturbed and the process is repeated. Then, we turn our attention to a completely different problem which can be approached in a similar way to the numerical continuation, finding a Siegel disk boundary in a holomorphic map. Given a holomorphic map which leads to a formally solvable cohomological equation near the origin, we use a numerical continuation style process to approximate an invariant circle in the Siegel disk near the origin. Using an iterative scheme, we then enlarge the invariant circle so that it approximates the boundary of the Siegel disk.
Show less  Date Issued
 2024
 PURL
 http://purl.flvc.org/fau/fd/FA00014464
 Subject Headings
 Dynamical systems, Nonlinearity (Mathematics), Numerical analysis, Parameterization
 Format
 Document (PDF)
 Title
 Convergence in measure with speed.
 Creator
 Petrus, Cass Apollo., Harriet L. Wilkes Honors College
 Abstract/Description

Definitions of convergence range from very strong (such as the concept of uniform convergence) to weaker and weaker versions like convergence in measure. We shall give a background in integration, measure theory, and convergence; then we move on to define convergence in measure with speed. We define three versions of convergence in measure with speed with an inner speed factor, an outer speed factor, and one with both speed factors. We then give examples of functions that fall under each of...
Show moreDefinitions of convergence range from very strong (such as the concept of uniform convergence) to weaker and weaker versions like convergence in measure. We shall give a background in integration, measure theory, and convergence; then we move on to define convergence in measure with speed. We define three versions of convergence in measure with speed with an inner speed factor, an outer speed factor, and one with both speed factors. We then give examples of functions that fall under each of these categories and prove important results relating convergence in measure with speed to existing definitions.
Show less  Date Issued
 2006
 PURL
 http://purl.flvc.org/FAU/11585
 Subject Headings
 Mathematical analysis, Functions of real variables, Convergence (Mathematics)
 Format
 Document (PDF)
 Title
 Weakly integrally closed domains and forbidden patterns.
 Creator
 Hopkins, Mary E., Charles E. Schmidt College of Science, Department of Mathematical Sciences
 Abstract/Description

An integral domain D is weakly integrally closed if whenever there is an element x in the quotient field of D and a nonzero finitely generated ideal J of D such that xJ J2, then x is in D. We define weakly integrally closed numerical monoids similarly. If a monoid algebra is weakly integrally closed, then so is the monoid. A pattern F of finitely many 0's and 1's is forbidden if whenever the characteristic binary string of a numerical monoid M contains F, then M is not weakly integrally...
Show moreAn integral domain D is weakly integrally closed if whenever there is an element x in the quotient field of D and a nonzero finitely generated ideal J of D such that xJ J2, then x is in D. We define weakly integrally closed numerical monoids similarly. If a monoid algebra is weakly integrally closed, then so is the monoid. A pattern F of finitely many 0's and 1's is forbidden if whenever the characteristic binary string of a numerical monoid M contains F, then M is not weakly integrally closed. Any stretch of the pattern 11011 is forbidden. A numerical monoid M is weakly integrally closed if and only if it has a forbidden pattern. For every finite set S of forbidden patterns, there exists a monoid that is not weakly integrally closed and that contains no stretch of a pattern in S. It is shown that particular monoid algebras are weakly integrally closed.
Show less  Date Issued
 2009
 PURL
 http://purl.flvc.org/FAU/199327
 Subject Headings
 Mathematical analysis, Algebra, Homological, Monoids, Categories (Mathematics), Semigroup algebras
 Format
 Document (PDF)
 Title
 Bayesian approach to an exponential hazard regression model with a change point.
 Creator
 Abraha, Yonas Kidane, Qian, Lianfen, Florida Atlantic University, Charles E. Schmidt College of Science, Department of Mathematical Sciences
 Abstract/Description

This thesis contains two parts. The first part derives the Bayesian estimator of the parameters in a piecewise exponential Cox proportional hazard regression model, with one unknown change point for a right censored survival data. The second part surveys the applications of change point problems to various types of data, such as longterm survival data, longitudinal data and time series data. Furthermore, the proposed method is then used to analyse a real survival data.
 Date Issued
 2014
 PURL
 http://purl.flvc.org/fau/fd/FA00004013
 Subject Headings
 Bayesian statistical decision theory, Mathematical statistics, Multivariate analysis  Data processing
 Format
 Document (PDF)
 Title
 APPLYING BLIND SOURCE SEPARATION TO MAGNETIC ANOMALY DETECTION.
 Creator
 Nieves, Eric, Beaujean, PierrePhilippe, Florida Atlantic University, Department of Ocean and Mechanical Engineering, College of Engineering and Computer Science
 Abstract/Description

The research shows a novel approach for the Magnetic Anomaly Differentiation and Localization Algorithm, which simultaneously localizes multiple magnetic anomalies with weak total field signatures (tens of nT). In particular, it focuses on the case where there are two homogeneous targets with known magnetic moments. This was done by analyzing the magnetic signals and adapting Independent Component Analysis (ICA) and Simulated Annealing (SA) to solve the problem statement. The results show the...
Show moreThe research shows a novel approach for the Magnetic Anomaly Differentiation and Localization Algorithm, which simultaneously localizes multiple magnetic anomalies with weak total field signatures (tens of nT). In particular, it focuses on the case where there are two homogeneous targets with known magnetic moments. This was done by analyzing the magnetic signals and adapting Independent Component Analysis (ICA) and Simulated Annealing (SA) to solve the problem statement. The results show the groundwork for using a combination of fastICA and SA to give localization errors of 3 meters or less per target in simulation and achieved a 58% success rate. Experimental results experienced additional errors due to the effects of magnetic background, unknown magnetic moments, and navigation error. While one target was localized within 3 meters, only the latest experimental run showed the second target approaching the localization specification. This highlighted the need for higher signaltonoise ratio and equipment with better navigational accuracy. The data analysis was used to provide recommendations on the needed equipment to minimize observed errors and improve algorithm success.
Show less  Date Issued
 2020
 PURL
 http://purl.flvc.org/fau/fd/FA00013610
 Subject Headings
 Magnetic anomalies, Simulated annealing (Mathematics), Independent component analysis, Unmanned vehicles
 Format
 Document (PDF)
 Title
 The enumeration of lattice paths and walks.
 Creator
 Gao, Shanzhen., Charles E. Schmidt College of Science, Department of Mathematical Sciences
 Abstract/Description

A wellknown long standing problem in combinatorics and statistical mechanics is to find the generating function for selfavoiding walks (SAW) on a twodimensional lattice, enumerated by perimeter. A SAW is a sequence of moves on a square lattice which does not visit the same point more than once. It has been considered by more than one hundred researchers in the pass one hundred years, including George Polya, Tony Guttmann, Laszlo Lovasz, Donald Knuth, Richard Stanley, Doron Zeilberger,...
Show moreA wellknown long standing problem in combinatorics and statistical mechanics is to find the generating function for selfavoiding walks (SAW) on a twodimensional lattice, enumerated by perimeter. A SAW is a sequence of moves on a square lattice which does not visit the same point more than once. It has been considered by more than one hundred researchers in the pass one hundred years, including George Polya, Tony Guttmann, Laszlo Lovasz, Donald Knuth, Richard Stanley, Doron Zeilberger, Mireille BousquetMlou, Thomas Prellberg, Neal Madras, Gordon Slade, Agnes Dit tel, E.J. Janse van Rensburg, Harry Kesten, Stuart G. Whittington, Lincoln Chayes, Iwan Jensen, Arthur T. Benjamin, and many others. More than three hundred papers and a few volumes of books were published in this area. A SAW is interesting for simulations because its properties cannot be calculated analytically. Calculating the number of selfavoiding walks is a common computational problem. A recently proposed model called prudent selfavoiding walks (PSAW) was first introduced to the mathematics community in an unpublished manuscript of Pra, who called them exterior walks. A prudent walk is a connected path on square lattice such that, at each step, the extension of that step along its current trajectory will never intersect any previously occupied vertex. A lattice path composed of connected horizontal and vertical line segments, each passing between adjacent lattice points. We will discuss some enumerative problems in selfavoiding walks, lattice paths and walks with several step vectors. Many open problems are posted.
Show less  Date Issued
 2011
 PURL
 http://purl.flvc.org/FAU/3183129
 Subject Headings
 Combinatorial analysis, Approximation theory, Mathematical statistics, Limit theorems (Probabilty theory)
 Format
 Document (PDF)
 Title
 Optimization and inductive models for continuous estimation of hydrologic variables.
 Creator
 Brown, Ricardo Eric., College of Engineering and Computer Science, Department of Civil, Environmental and Geomatics Engineering
 Abstract/Description

This thesis develops methodologies for continuous estimation of hydrological variables which infill missing daily rainfall data and the forecast of weekly streamflows from a watershed. Several mathematical programming formulations were developed and used to estimate missing historical rainfall data. Functional relationships were created between radar precipitation and known rain gauge data then are used to estimate the missing data. Streamflow predictions models require highly nonlinear...
Show moreThis thesis develops methodologies for continuous estimation of hydrological variables which infill missing daily rainfall data and the forecast of weekly streamflows from a watershed. Several mathematical programming formulations were developed and used to estimate missing historical rainfall data. Functional relationships were created between radar precipitation and known rain gauge data then are used to estimate the missing data. Streamflow predictions models require highly nonlinear mathematical models to capture the complex physical characteristics of a watershed. An artificial neural network model was developed for streamflow prediction. There are no set methods of creating a neural network and the selection of architecture and inputs to a neural network affects the performance. This thesis addresses this issue with automated input and network architecture selection through optimization. MATLABª scripts are developed and used to test many combinations and select a model through optimization.
Show less  Date Issued
 2012
 PURL
 http://purl.flvc.org/FAU/3342036
 Subject Headings
 Hydorlogic models, Mathematics, Fuzzy logic, Spatial analysis (Statistics), Stream measurements
 Format
 Document (PDF)
 Title
 Pruefer domains, the strong 2generator property, and integervalued polynomials.
 Creator
 Roth, Heather., Florida Atlantic University, Klingler, Lee
 Abstract/Description

We present several results involving three concepts: Prufer domains, the strong 2generator property, and integervalued polynomials. An integral domain D is called a Prufer domain if every nonzero finitely generated ideal of D is invertible. When each 2generated ideal of D has the property that one of its generators can be any arbitrary selected nonzero element of the ideal, we say D has the strong 2generator property . We note that, if D has the strong 2generator property, then D is a...
Show moreWe present several results involving three concepts: Prufer domains, the strong 2generator property, and integervalued polynomials. An integral domain D is called a Prufer domain if every nonzero finitely generated ideal of D is invertible. When each 2generated ideal of D has the property that one of its generators can be any arbitrary selected nonzero element of the ideal, we say D has the strong 2generator property . We note that, if D has the strong 2generator property, then D is a Prufer domain. If Q is the field of fractions of D, and E is a finite nonempty subset of D; we define Int(E, D ) = {f(X) ∈ Q[ X] ∣ f(a) ∈ D for every a ∈ E} to be the ring of integervalued polynomials on D with respect to the subset E. We show that D is a Prufer domain if and only if Int(E, D) is a Prufer domain. Our main theorem is that Int(E, D) has the strong 2generator property if and only if D is a Bezout domain (that is, every finitely generated ideal of D is principal).
Show less  Date Issued
 2004
 PURL
 http://purl.flvc.org/fcla/dt/13151
 Subject Headings
 Prüfer rings, Rings of integers, Polynomials, Ideals (Algebra), Mathematical analysis
 Format
 Document (PDF)
 Title
 Negligible Variation, Change of Variables, and a Smooth Analog of the HobbyRice Theorem.
 Creator
 Rutherfoord, Vermont Charles, Sagher, Yoram, Florida Atlantic University, Charles E. Schmidt College of Science, Department of Mathematical Sciences
 Abstract/Description

This dissertation concerns two topics in analysis. The rst section is an exposition of the HenstockKurzweil integral leading to a necessary and su cient condition for the change of variables formula to hold, with implications for the change of variables formula for the Lebesgue integral. As a corollary, a necessary and suf cient condition for the Fundamental Theorem of Calculus to hold for the HK integral is obtained. The second section concerns a challenge raised in a paper by O. Lazarev...
Show moreThis dissertation concerns two topics in analysis. The rst section is an exposition of the HenstockKurzweil integral leading to a necessary and su cient condition for the change of variables formula to hold, with implications for the change of variables formula for the Lebesgue integral. As a corollary, a necessary and suf cient condition for the Fundamental Theorem of Calculus to hold for the HK integral is obtained. The second section concerns a challenge raised in a paper by O. Lazarev and E. H. Lieb, where they proved that, given f1….,fn ∈ L1 ([0,1] ; C), there exists a smooth function φ that takes values on the unit circle and annihilates span {f1...., fn}. We give an alternative proof of that fact that also shows the W1,1 norm of φ can be bounded by 5πn + 1. Answering a question raised by Lazarev and Lieb, we show that if p > 1 then there is no bound for the W1,p norm of any such multiplier in terms of the norms of f1...., fn.
Show less  Date Issued
 2016
 PURL
 http://purl.flvc.org/fau/fd/FA00004627
 Subject Headings
 Mathematical analysis., Measure theory., HenstockKurzweil integral.
 Format
 Document (PDF)
 Title
 Translog and CobbDouglas analysis of tourist demand in Florida.
 Creator
 Collins, Donald Lawrence., Florida Atlantic University, Yuhn, Kyhyang
 Abstract/Description

The purpose of this study is to determine what factors could influence an economic agents' decision to travel or vacation in Florida. This study measures this decision by analyzing the state Division of Tourism estimates for visitors in light of changes in; national gross domestic product, nonaviation gasoline prices, average airfares, and exchange rates. This data was compiled on a quarterly basis form 1980 to 1993 and analyzed by employing Translog and CobbDouglas demand functional forms...
Show moreThe purpose of this study is to determine what factors could influence an economic agents' decision to travel or vacation in Florida. This study measures this decision by analyzing the state Division of Tourism estimates for visitors in light of changes in; national gross domestic product, nonaviation gasoline prices, average airfares, and exchange rates. This data was compiled on a quarterly basis form 1980 to 1993 and analyzed by employing Translog and CobbDouglas demand functional forms for use in regression analysis. Based upon the regression results, the CobbDouglas functional form best represents what has historically occurred in the real economic world and follows generally accepted microeconomic demand theory. The CobbDouglas techniques reveal that an economic agents' future income expectations, measured by GDP levels, has a significant influence on Florida visitor estimates and has a role in the decision to vacation in Florida.
Show less  Date Issued
 1996
 PURL
 http://purl.flvc.org/fcla/dt/15356
 Subject Headings
 TourismFlorida, Economics, Mathematical, Prices, Regression analysis
 Format
 Document (PDF)
 Title
 Studies of composite multihull ship structures using fluid structure interaction.
 Creator
 Ma, Siyuan, College of Engineering and Computer Science, Department of Ocean and Mechanical Engineering
 Abstract/Description

Studies of composite multihull structure under wave loads, extreme loads, and blast loads have been conducted using finite element and computational fluid dynamics (CPF) tools. A comprehensive finite element tool for structural analysis of composite multihull structures is developed. Twoway fluid structure interaction (FSI) is implemented by coupling finite element analysis (FEA) and CFD. FEA models have been developed using sandwich construction having composite face sheets and a foam core...
Show moreStudies of composite multihull structure under wave loads, extreme loads, and blast loads have been conducted using finite element and computational fluid dynamics (CPF) tools. A comprehensive finite element tool for structural analysis of composite multihull structures is developed. Twoway fluid structure interaction (FSI) is implemented by coupling finite element analysis (FEA) and CFD. FEA models have been developed using sandwich construction having composite face sheets and a foam core. Fluid domain was modeled using the CFD code, CFX and a wave motion was simulated based on Sea State 5... In addition to hydrodynamic loads, the simulation of composite ship under extreme loads is performed. Stress analysis was performed and dynamic response of the hull was determined in time domain. In the final analysis, an underwater explosion model was developed to study the composite hull resistance to blast load.
Show less  Date Issued
 2012
 PURL
 http://purl.flvc.org/FAU/3355625
 Subject Headings
 Computational fluid dynamics, Numerical analysis, Engineering mathematics, Naval architecture, Structural analysis (Engineering)
 Format
 Document (PDF)
 Title
 Frequency Line Tracking in Spectrograms Using Hidden Markov Models.
 Creator
 Gunes, Tuncay, Erdol, Nurgun, Florida Atlantic University
 Abstract/Description

One of the limiting factors restricting aircraft landings at maJor airports is the minimum spacing requirements due to vortex wake avoidance. If it can be shown that the separation requirements are too conservative, then it may be possible to increase the rate of landings on a given runway. During August/September 2003, NASA and the (United States Department of Transportation) USDOT sponsored a wake acoustics test at the Denver International Airport. The central instrument of the test was a...
Show moreOne of the limiting factors restricting aircraft landings at maJor airports is the minimum spacing requirements due to vortex wake avoidance. If it can be shown that the separation requirements are too conservative, then it may be possible to increase the rate of landings on a given runway. During August/September 2003, NASA and the (United States Department of Transportation) USDOT sponsored a wake acoustics test at the Denver International Airport. The central instrument of the test was a large microphone phased array. Different types of aircrafts were recorded during landing and the acoustic data obtained was stored. From acoustic data the spectrograms were generated using the technique of AutoRegressive (AR) spectral estimation from multitaper autocorrelation estimates. Several sources of sound that are recorded in the audio files can be observed in the spectrograms. Some these signals, such as the noise generated from the aircraft engine can be identified easily because of their strength and the Doppler shift they undergo. In contrast to this, the wake vortex signal is weaker and does not exhibit a Doppler shift because it's stationary in space. Therefore it may not be identified easily because of the existence of stronger signals. The motive in our research is to develop methods to determine these strong signals that appear as spectral lines in the spectrogram. In the future, the results obtained in this work can be used to eliminate these strong signals from the spectrogram thus allowing us to see and identify wake vortex signal which is more important to us.
Show less  Date Issued
 2006
 PURL
 http://purl.flvc.org/fau/fd/FA00012525
 Subject Headings
 Markov processes, EconomicsMathematical models, Wave structure functionAnalysis, Adaptive control systems, Spectrum analysis
 Format
 Document (PDF)
 Title
 Influence of bilingualism on simple arithmetic.
 Creator
 Nishat, Towhid, Rosselli, Monica, Florida Atlantic University, Charles E. Schmidt College of Science, Department of Psychology
 Abstract/Description

It has been widely hypothesized that while doing arithmetic, individuals use two distinct routes for phonological output. A direct route is used for exact arithmetic which is language dependent, while an indirect route is used during arithmetic approximation and thought to be language independent. The arithmetic double route has been incorporated on the triple code model that consists of visual arabic code for identifying strings of digits, magnitude code for knowledge in numeral quantities,...
Show moreIt has been widely hypothesized that while doing arithmetic, individuals use two distinct routes for phonological output. A direct route is used for exact arithmetic which is language dependent, while an indirect route is used during arithmetic approximation and thought to be language independent. The arithmetic double route has been incorporated on the triple code model that consists of visual arabic code for identifying strings of digits, magnitude code for knowledge in numeral quantities, and verbal code for rote arithmetic fact. Our goal is to investigate whether language experience has an effect on the processing of exact/approximation math using bilingual participants who have access to two languages, using a theoretical arithmetic processing model, which has been validated across many studies. We have measured the two groups (monolinguals/bilinguals) processing speed for completing the two tasks (Exact/Approximation) in two codes (Arabic digit/Verbal). We hypothesized a faster reaction time in exact arithmetic task in compared to approximation in accordance with the triplecode model. We alsoexpected a main effect for the task (Exact vs.Approximation) independent of the input code when the stimulus was presented in either Arabic digit and/or verbal codes. Our results show exact arithmetic is faster than approximation of arithmetic facts in all codes supporting earlier theories. Also, there was no significant difference in processing speed between monolinguals and bilinguals when performing the arithmetic task in either Arabic and/or verbal codes. In addition, our investigation suggests a modification to the triplecode model when interpreting arithmetic facts in verbal code due to interference of two languages with bilingual participants. Additions to the model can be suggested when the stimulus is expressed in verbal code for visual identification, which may cause interference in bilinguals leading to a first language advantage due to language experience.
Show less  Date Issued
 2015
 PURL
 http://purl.flvc.org/fau/fd/FA00004394
 Subject Headings
 Bilingualism, Computational complexity, Mathematical analysis, Mathematics  Study and teaching (Elementary), Switching theory
 Format
 Document (PDF)
 Title
 A Phylogeny of Mexican Ambystoma Salamanders (Caudata: Ambystomatidae) from Larval Characters.
 Creator
 Cole, Lauren A., Wyneken, Jeanette, Florida Atlantic University
 Abstract/Description

A phylogeny of Mexican Ambystoma salamanders was constructed using larval morphology. Characters were scored for 19 ambystomatid species from Mexico and North America Twentyfive continuous characters came from external measurements of cranial and branchial features and ratios of measurements. Twentysix categorical characters were scored from internal and external larval, branchial, and cranial features, as well as overall color and adult life history. Cladograms constructed from individual...
Show moreA phylogeny of Mexican Ambystoma salamanders was constructed using larval morphology. Characters were scored for 19 ambystomatid species from Mexico and North America Twentyfive continuous characters came from external measurements of cranial and branchial features and ratios of measurements. Twentysix categorical characters were scored from internal and external larval, branchial, and cranial features, as well as overall color and adult life history. Cladograms constructed from individual character matrices lack major resolution beyond individual species level. The consensus cladogram did not resolve the majority of species, and was similar to consensus results from previous cladistic analysis based on molecular characters. Convergent morphology is evident in characters of geographically distant members of the clade. However, species determination was possible for all examined taxa. Neoteny is widespread in the A. tigrinum complex and, as an isolating mechanism, may be the main driver of speciation in the complex.
Show less  Date Issued
 2007
 PURL
 http://purl.flvc.org/fau/fd/FA00000734
 Subject Headings
 SalamandersReproduction, SalamandersClassification, Cladistic analysisMathematics, Evolutionary geneticsMathematics, Evolution (Biology)
 Format
 Document (PDF)
 Title
 Methodology for fault detection and diagnostics in an ocean turbine using vibration analysis and modeling.
 Creator
 Mjit, Mustapha., College of Engineering and Computer Science, Department of Ocean and Mechanical Engineering
 Abstract/Description

This thesis describes a methodology for mechanical fault detection and diagnostics in an ocean turbine using vibration analysis and modeling. This methodology relies on the use of advanced methods for machine vibration analysis and health monitoring. Because of some issues encountered with traditional methods such as Fourier analysis for non stationary rotating machines, the use of more advanced methods such as TimeFrequency Analysis is required. The thesis also includes the development of...
Show moreThis thesis describes a methodology for mechanical fault detection and diagnostics in an ocean turbine using vibration analysis and modeling. This methodology relies on the use of advanced methods for machine vibration analysis and health monitoring. Because of some issues encountered with traditional methods such as Fourier analysis for non stationary rotating machines, the use of more advanced methods such as TimeFrequency Analysis is required. The thesis also includes the development of two LabVIEW models. The first model combines the advanced methods for online condition monitoring. The second model performs the modal analysis to find the resonance frequencies of the subsystems of the turbine. The dynamic modeling of the turbine using Finite Element Analysis is used to estimate the baseline of vibration signals in sensors locations under normal operating conditions of the turbine. All this information is necessary to perform the vibration condition monitoring of the turbine.
Show less  Date Issued
 2009
 PURL
 http://purl.flvc.org/FAU/369198
 Subject Headings
 Marine turbines, Mathematical models, Fluid dynamics, Structural dynamics, Composite materials, Mathematical models, Elastic analysis (Engineering)
 Format
 Document (PDF)