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Pages
- Title
- Reduced path systems and super-edge-graceful trees.
- Creator
- Gottipati, Chenchu B., Locke, Stephen C., Graduate College
- Date Issued
- 2013-04-12
- 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 Qiu-Chen-Elishakoff 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 2-SPHERE: A COMBINATORIAL AND ANALYTIC APPROACH WITH COMPUTER ASSISTED PROOFS.
- Creator
- Dhakal, Bishal, Mireles-James, 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 2-sphere. 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 2-sphere. 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 two-dimensional 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 Newton-like 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 Newton-like 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 long-term 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, Pierre-Philippe, 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 signal-to-noise 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 well-known long standing problem in combinatorics and statistical mechanics is to find the generating function for self-avoiding walks (SAW) on a two-dimensional 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 well-known long standing problem in combinatorics and statistical mechanics is to find the generating function for self-avoiding walks (SAW) on a two-dimensional 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 Bousquet-Mlou, 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 self-avoiding walks is a common computational problem. A recently proposed model called prudent self-avoiding 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 self-avoiding 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 non-linear...
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 non-linear 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 2-generator property, and integer-valued polynomials.
- Creator
- Roth, Heather., Florida Atlantic University, Klingler, Lee
- Abstract/Description
-
We present several results involving three concepts: Prufer domains, the strong 2-generator property, and integer-valued polynomials. An integral domain D is called a Prufer domain if every nonzero finitely generated ideal of D is invertible. When each 2-generated 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 2-generator property . We note that, if D has the strong 2-generator property, then D is a...
Show moreWe present several results involving three concepts: Prufer domains, the strong 2-generator property, and integer-valued polynomials. An integral domain D is called a Prufer domain if every nonzero finitely generated ideal of D is invertible. When each 2-generated 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 2-generator property . We note that, if D has the strong 2-generator 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 integer-valued 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 2-generator 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 Hobby-Rice 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 Henstock-Kurzweil 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 Henstock-Kurzweil 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., Henstock-Kurzweil integral.
- Format
- Document (PDF)
- Title
- Translog and Cobb-Douglas analysis of tourist demand in Florida.
- Creator
- Collins, Donald Lawrence., Florida Atlantic University, Yuhn, Ky-hyang
- 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, non-aviation 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 Cobb-Douglas 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, non-aviation 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 Cobb-Douglas demand functional forms for use in regression analysis. Based upon the regression results, the Cobb-Douglas functional form best represents what has historically occurred in the real economic world and follows generally accepted micro-economic demand theory. The Cobb-Douglas 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
- Tourism--Florida, 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 multi-hull structures is developed. Two-way 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 multi-hull structures is developed. Two-way 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, Economics--Mathematical models, Wave structure function--Analysis, 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 triple-code 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 triple-code 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 Twenty-five continuous characters came from external measurements of cranial and branchial features and ratios of measurements. Twenty-six 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 Twenty-five continuous characters came from external measurements of cranial and branchial features and ratios of measurements. Twenty-six 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
- Salamanders--Reproduction, Salamanders--Classification, Cladistic analysis--Mathematics, Evolutionary genetics--Mathematics, 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 Time-Frequency 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 Time-Frequency Analysis is required. The thesis also includes the development of two LabVIEW models. The first model combines the advanced methods for on-line 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)