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1
Whitacre, Jonathan H. "A Hybrid Method For Solving A Single Nonlinear Equation." Youngstown State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1296145853.
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Omotere, Olumide Olubunmi. "Improvement of the Soil Moisture Diagnostic Equation for Estimating Root-Zone Soil Moisture." Thesis, University of North Texas, 2018. https://digital.library.unt.edu/ark:/67531/metadc1157607/.
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Soil moisture information can be used accurately in determining the timing and amount of irrigation applied to plants. Pan and Pan et al. proposed a robust and simple daily diagnostic equation for estimating daily soil moisture. The diagnostic equation evaluates the relationship between the soil moisture loss function and the summation weighted average of precipitation. The loss function uses the sinusoidal wave function which employs day of the year (DOY) to evaluate the seasonal variation in soil moisture loss for a given year. This was incorporated into the daily diagnostic equation to estimate the daily soil moisture for a location. Solar radiation is an energy source that drives the energy and water exchanges between vegetation and the atmosphere (i.e., evapotranspiration), and thus impacts the soil moisture dry-down. In this paper, two parameters (the actual solar radiation and the clear sky solar radiation) are introduced into loss function coefficient to improve the estimation of soil moisture. After the Introduction of the solar radiation data into soil moisture loss function, a slight improvement was observed in the estimated daily soil moisture. Pan observed that generally the correlation coefficient between the estimated and the observed soil moisture is above 0.75 and the root mean square error is below 5.0 (%v/v). The introduction solar radiation data (i.e. clear sky solar radiation and actual solar) improve the correlation coefficient average for all the sites evaluated by 0.03 when the root mean square error is generally below 4.5(%v/v) for the entire root zone.
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Pham, Tien Duc, and n/a. "A new approach to regional modelling: an Integrated Regional Equation System (IRES)." Griffith University. School of International Business and Asian Studies, 2004. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20041022.083520.
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This thesis develops a new structure that explicitly combines two CGE models, a national and a regional, in an integrated structure that gives the thesis model the name IRES, in short for the Integrated Regional Equation System. The typical features of the integrated structure are the adding-up conditions and the two-way linkages between the national and the regional modules facilitated by the interface shifters. The adding-up conditions ensure the two modules produce consistent results and updated databases. The inclusion of the interface shifters on the one hand plays a role in ensuring compatibility of results of the two modules, i.e. no distortion occurs because technical or taste changes are transferred across modules. On the other hand, the interface shifters assist the operation of IRES in different modes: the model can be used as a top-down model, a bottom-up model or an integrated model where national and regional shocks can be introduced at the same time. Hence, IRES has more flexibility in its application than a regional model or a national model alone, as IRES can make use of availability of data at any levels in the economy. IRES has a new labour market in which regional migration is no longer the only factor that settles the labour market as in the original setting of the MMRF model. Regional unemployment and regional participation rates are modelled to response to changes in regional employment growth using elasticities estimated econometrically in this thesis. IRES implements historical patterns of regional migration so that results of regional migration are consistent with observed patterns. Altogether, regional migration, regional unemployment and participation rates determine the equilibrium of the labour market. IRES adopts new approaches to modelling margin demands and indirect taxes. These new approaches are very effective in reducing the size of IRES but they do not compromise the use of the model. These approaches are readily applicable to any other regional CGE models.
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Raybould, Michael, and n/a. "Attitudes and Information Effects in Contingent Valuation of Natural Resources." Griffith University. Australian School of Environmental Studies, 2006. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20061009.150949.
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This thesis investigated the effects of photographic and text information on respondents' attitudes and willingness-to-pay for a proposed beach protection scheme in the erosion prone Gold Coast region on the east coast of Australia. The research developed two alternative expectancy-value attitude-behaviour models to test residents' attitudes toward relevant targets and behavioural intention, expressed through stated willingness-to-pay, and compared the proposed models with one established attitude-behaviour model. The thesis set out to investigate three central research questions; one question relating to the effects of information on attitudes and willingness-to-pay, and two questions relating to the relationships between attitudes and willingness-to-pay. It was hypothesised that photographs that depicted severe erosion damage would result in more positive attitudes toward, and greater willingness-to-pay for, beach protection than photographs that showed only mild levels of erosion damage. Positive relationships were hypothesised between variables representing attitudes toward beach erosion, attitude toward beach protection, attitude toward paying for beach protection, and willingness-to-pay. Finally, it was hypothesised that the relationships between attitudes and willingness-to-pay could be adequately explained by the proposed attitude-behaviour models. The thesis describes how seven information treatments and eight attitude measurement scales were developed and tested in a pilot experiment before use in a survey of homeowners in the region of interest. Analysis of variance showed that, while respondent's attitude toward beach protection was affected by the information treatments, their willingness-to-pay for the proposed program was insensitive to information. There were no significant effects that could be attributed exclusively to text descriptions of the good but there were significant effects that could be attributed to photographic information treatments. However, none of the effects on attitudes resulted in significant effects on the behavioural intention expressed in stated willingness-to-pay. Analysis of respondents with low previous knowledge of the proposed good revealed more extensive information effects on attitudes, but still not on willingness-to-pay, and this suggests that high levels of previous knowledge in a large proportion of the sample had a moderating effect on attitude change caused by the information treatments. Regression analysis showed that seven of the eight attitude and behaviour variables in the proposed attitude-behaviour model were significant predictors of willingness-to-pay. In the final phase of the analysis, goodness-of-fit indices, estimated using Structural Equation Modelling, indicated a good fit between the data and the attitude-behaviour models tested. Standardised coefficients on the model indicated that perceived behavioural control, expected utility of outcomes, and subjective norms all had strong direct relationships with stated willingness-to-pay, and strong indirect relationships on willingness-to-pay via attitudes toward payment. These results are consistent with the relationships proposed in attitude-behaviour models and the moderating effects of these variables explain why significant information treatment effects were observed on attitude to beach protection but not on willingness-to-pay. This research showed that respondent's willingness-to-pay in a contingent valuation experiment is quite insensitive to photographic treatments when previous knowledge is high and that costly and time consuming testing procedures, recommended by authorities, may not be necessary under these conditions. It also demonstrated that measures of attitude, consistent with an attitude-behaviour model, can be collected easily in a contingent valuation study and can contribute to understanding of participant responses and to identification of protest responses.
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Aumeerally, Manisah, and n/a. "Analytic Model Derivation Of Microfluidic Flow For MEMS Virtual-Reality CAD." Griffith University. School of Information and Communication Technology, 2006. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20061106.095352.
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This thesis derives a first approximation model that will describe the flow of fluid in microfluidic devices such as in microchannels, microdiffusers and micronozzles using electrical network modelling. The important parameter that is of concern is the flow rates of these devices. The purpose of this work is to contribute to the physical component of our interactive Virtual Reality (VR)-prototyping tool for MEMS, with emphasis on fast calculations for interactive CAD design. Current calculations are too time consuming and not suitable for interactive CAD with dynamic animations. This work contributes to and fills the need for the development of MEMS dynamic visualisation, showing the movement of fluid within microdevices in time scale. Microfluidic MEMS devices are used in a wide range of applications, such as in chemical analysis, gene expression analysis, electronic cooling system and inkjet printers. Their success lies in their microdimensions, enabling the creation of systems that are considerably minute yet can contain many complex subsystems. With this reduction in size, the advantages of requiring less material for analysis, less power consumption, less wastage and an increase in portability becomes their selling point. Market size is in excess of US$50 billion in 2004, according to a study made by Nexus. New applications are constantly being developed leading to creation of new devices, such as the DNA and the protein chip. Applications are found in pharmaceuticals, diagnostic, biotechnology and the food industry. An example is the outcome of the mapping and sequencing of the human genome DNA in the late 1990's leading to greater understanding of our genetic makeup. Armed with this knowledge, doctors will be able to treat diseases that were deemed untreatable before, such as diabetes or cancer. Among the tools with which that can be achieved include the DNA chip which is used to analyse an individual's genetic makeup and the Gene chip used in the study of cancer. With this burgeoning influx of new devices and an increase in demand for them there is a need for better and more efficient designs. The MEMS design process is time consuming and costly. Many calculations rely on Finite Element Analysis, which has slow and time consuming algorithms, that make interactive CAD unworkable. This is because the iterative algorithms for calculating the animated images showing the ongoing proccess as they occur, are too slow. Faster computers do not solve the void of efficient algorithms, because with faster computer also comes the demand for a fasters response. A 40 - 90 minute FEA calculation will not be replaced by a faster computer in the next decades to an almost instant response. Efficient design tools are required to shorten this process. These interactive CAD tools need to be able to give quick yet accurate results. Current CAD tools involve time consuming numerical analysis technique which requires hours of numerous iterations for the device structure design followed by more calculations to achieve the required output specification. Although there is a need for a detailed analysis, especially in solving for a particular aspect of the design, having a tool to quickly get a first approximation will greatly shorten the guesswork involved in determining the overall requirement. The underlying theory for the fluid flow model is based on traditional continuum theory and the Navier-Stokes equation is used in the derivation of a layered flow model in which the flow region is segmented into layered sections, each having different flow rates. The flow characteristics of each sections are modeled as electrical components in an electrical circuit. Matlab 6.5 (MatlabTM) is used for the modelling aspect and Simulink is used for the simulation.
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Teo, Hhih-Ting, and h. teo@griffith edu au. "Tidal Dynamics in Coastal Aquifers." Griffith University. School of Engineering, 2003. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20030729.155028.
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The prediction of coastal groundwater movement is necessary in coastal management. However, the study in this field is still a great challenge due to the involvement of tidal-groundwater interactions and the phenomena of hydrodynamic dispersion between salt-fresh water in the coastal region. To date, numerous theories for groundwater dynamic have been made available in analytical, numerical and also experimental forms. Nevertheless, most of them are based on the zeroth-order shallow flow, i.e. Boussinesq approximation. Two main components for coastal unconfined aquifer have been completed in this Thesis: the vertical beach model and the sloping beach model. Both solutions are solved in closed-form up to higher order with shallow water parameter ([epsilon]) and tidal amplitude parameter ([alpha]). The vertical beach solution contributes to the higher-order tidal fluctuations while the sloping beach model overcomes the shortcomings in the existing solutions. From this study, higher-order components are found to be significant especially for larger value of [alpha] and [epsilon]. Other parameters such as hydraulic conductivity (K) and the thickness of aquifer (D) also affect the water table fluctuations. The new sloping solution demonstrated the significant influence of beach slope ([beta]) on the water table fluctuations. A comprehensive comparison between previous solution and the present sloping solution have been performed mathematically and numerically and the present solution has been demonstrated to provide a better prediction
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Brunke, Michael A., Patrick Broxton, Jon Pelletier, David Gochis, Pieter Hazenberg, David M. Lawrence, L. Ruby Leung, Guo-Yue Niu, Peter A. Troch, and Xubin Zeng. "Implementing and Evaluating Variable Soil Thickness in the Community Land Model, Version 4.5 (CLM4.5)." AMER METEOROLOGICAL SOC, 2016. http://hdl.handle.net/10150/612995.
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One of the recognized weaknesses of land surface models as used in weather and climate models is the assumption of constant soil thickness because of the lack of global estimates of bedrock depth. Using a 30-arc-s global dataset for the thickness of relatively porous, unconsolidated sediments over bedrock, spatial variation in soil thickness is included here in version 4.5 of the Community Land Model (CLM4.5). The number of soil layers for each grid cell is determined from the average soil depth for each 0.9 degrees latitude x 1.25 degrees longitude grid cell. The greatest changes in the simulation with variable soil thickness are to baseflow, with the annual minimum generally occurring earlier. Smaller changes are seen in latent heat flux and surface runoff primarily as a result of an increase in the annual cycle amplitude. These changes are related to soil moisture changes that are most substantial in locations with shallow bedrock. Total water storage (TWS) anomalies are not strongly affected over most river basins since most basins contain mostly deep soils, but TWS anomalies are substantially different for a river basin with more mountainous terrain. Additionally, the annual cycle in soil temperature is partially affected by including realistic soil thicknesses resulting from changes in the vertical profile of heat capacity and thermal conductivity. However, the largest changes to soil temperature are introduced by the soil moisture changes in the variable soil thickness simulation. This implementation of variable soil thickness represents a step forward in land surface model development.
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Chellali, Mustapha. "Congruences, nombres de Bernoulli et polynômes de Bessel." Université Joseph Fourier (Grenoble ; 1971-2015), 1989. http://www.theses.fr/1989GRE10091.
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En premiere partie, on donne des congruences entre nombres de bernoulli-hcowitz dans le cas supersingulier. En deuxieme partie, on montre que la suite des nombres de bernoulli verifie des formules de recurrence qui servent a tester si un nombre premier est irregulier. En troisieme partie, on etudie les zeros des polynomes de bessel generalises, en particulier on encadre un zero reel, apres developpement asymptotique, et on donne des estimations uniformes des valeurs de ces polynomes
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Seiß, Matthias [Verfasser]. "Root parametrized differential equations / Matthias Seiß." Kassel : Universitätsbibliothek Kassel, 2012. http://d-nb.info/1028081170/34.
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SILVA, José Nilton. "Determinação da região robusta de estabilidade e de desempenho inspirada nos princípios da estatística clássica." Universidade Federal de Campina Grande, 2013. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/2153.
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JOSÉ NILTON SILVA - TESE (PPGEQ) 2013.pdf: 1910479 bytes, checksum: 59c6bfc5fdbee46bc17470e9b2c8c2e5 (MD5)Made available in DSpace on 2018-11-08T12:05:44Z (GMT). No. of bitstreams: 1 JOSÉ NILTON SILVA - TESE (PPGEQ) 2013.pdf: 1910479 bytes, checksum: 59c6bfc5fdbee46bc17470e9b2c8c2e5 (MD5) Previous issue date: 2013-08-01
Este trabalho trata do desenvolvimento de uma metodologia baseada nos conceitos clássicos de estatística e probabilidade para a análise e avaliação da robustez da estabilidade e do desempenho de sistemas de controle, particularmente àqueles que usam o PID (Proporcional, Integral, Derivativo) como lei de controle. Visando estabelecer as condições para a aplicação da metodologia, um sistema de identificação do processo foi desenvolvido de forma recursiva, no qual modelos de convolução e fenomenológico foram empregados como representação do modelo e processo, agrupado a um procedimento de auto sintonia, necessário para considerar os parâmetros de sintonia como variáveis aleatórias e, por conseguinte as raízes da equação característica do sistema em malha fechada.O mapeamento da região de robustez tem sido realizado a partir das raízes da equação característica, considerando a distância estatística como a métrica representativa da robustez da estabilidade a qual permite estabelecer a região com certo grau de significância.Os resultados obtidos demonstram o potencial analítico exigido pela metodologia, permitindo também a análise online, com baixo esforço computacional e operacional mostrando ser um poderoso instrumento de avaliação de sistema de controle.
This study discusses the development of a methodology based on classical concepts of statistics and probability to analyze and evaluate the robustness of the stability and performance of the control system, particularly those that use the PID as control law. To establish the conditions for the application of the methodology, a recursive system identification method process was developed, in which convolution and phenomenological models were used to represent model and process, together with a self-tuning procedure that is necessary to consider tuning parameters as random variables, and hence the roots of the characteristic equation of the closed loop system. The mapping of the region of robustness has been achieved from the roots of the characteristic equation, considering the statistical distance as the metric represented to the robustness of stability which allows the region to establish a degree of significance. The results obtained demonstrate the potential analytical and evaluation required by the methodology, allowing such analysis also "online" with low computational effort and operational proving to be a powerful tool in the analysis of control system.
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Gambetta, Jay, and n/a. "Non-Markovian Stochastic Schrodinger Equations and Interpretations of Quantum Mechanics." Griffith University. School of Science, 2004. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20040429.141303.
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It has been almost eighty years since quantum mechanics emerged as a complete theory, yet debates about how should quantum mechanics be interpreted still occur. Interpretations are many and varied, some taking us as fundamental in determining reality (orthodox interpretation), while others proposing that reality exists outside of us, but it is a lot more complicated than that implied by classical mechanics. In this thesis I am going to try to provide new light on this debate by investigating dynamics under both the orthodox and modal interpretation. In particular I will answer the question what is the interpretation of non-Markovian stochastic Schrodinger equations? I conclude that under the orthodox view these equations have only a numerical interpretation. They provide a rule for calculating the state of the system at time t if we made a measurement on the bath (a collection of oscillators {ak}) at that time, yielding results {zk}. However in the modal view they have a meaning: non-Markovian stochastic Schrodinger equations represent the evolution of the system part of the property state of the universe (bath + system).
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Mano, Toshiyuki. "Differential equations for Hilbert modular forms of Q([square root]{2})." 京都大学 (Kyoto University), 2002. http://hdl.handle.net/2433/150419.
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Sakai, Hidetaka. "Rational surfaces associated with affine root systems and geometry of the Painlevé equations." 京都大学 (Kyoto University), 1999. http://hdl.handle.net/2433/181435.
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Lytle, Joshua W. "Stability of Planar Detonations in the Reactive Navier-Stokes Equations." BYU ScholarsArchive, 2017. https://scholarsarchive.byu.edu/etd/6430.
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This dissertation focuses on the study of spectral stability in traveling waves, with a special interest in planar detonations in the multidimensional reactive Navier-Stokes equations. The chief tool is the Evans function, combined with STABLAB, a numerical library devoted to calculating the Evans function. Properly constructed, the Evans function is an analytic function in the right half-plane whose zeros correspond in multiplicity and location to the spectrum of the traveling wave. Thus the Evans function can be used to verify stability, or to locate precisely any unstable eigenvalues. We introduce a new method that uses numerical continuation to follow unstable eigenvalues as system parameters vary. We also use the Evans function to track instabilities of viscous detonations in the multidimensional reactive Navier-Stokes equations, building on recent results for detonations in one dimension. Finally, we introduce a Python implementation of STABLAB, which we hope will improve the accessibility of STABLAB and aid the future study of large, multidimensional systems by providing easy-to-use parallel processing tools.
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Sletta, Ingeborg. "Finding Small Roots of Polynomial Equations Using Lattice Basis Reduction." Thesis, Norwegian University of Science and Technology, Department of Mathematical Sciences, 2009. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-9832.
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CAMPOS, Danilo Albuquerque de. "Algoritmos de aproximação de raízes quadradas." Universidade Federal Rural de Pernambuco, 2014. http://www.tede2.ufrpe.br:8080/tede2/handle/tede2/6699.
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In this work we are interested in showing three algorithms rational approximation of square roots by methods unknown or underutilized by teachers of elementary and secondary education. We begin by defining numerical sequence and convergence of sequences, will discuss the need to expand the concept of rational number and demonstrate the irrationality of the diagonal of a square. Prove an important theorem known in the literature as Dirichlet’s theorem and finally elencaremos three methods of approximating the square roots of natural non-perfect square numbers, very simple to be worked on in the classroom that are rational algorithm aproximção of Hiero of Alexandria, Theon’s Ladder and the Pell-Fermat equation, sende latter discursão fundamental to who will perform on the relationship of the three methods presented.
Neste trabalho estamos interessados em mostrar três algoritmos de aproximação racional de raízes quadradas por métodos pouco utilizados ou desconhecidos pelos professores do ensino fundamental e médio. Iniciaremos definindo sequência numérica e convergência de sequências, discutiremos sobre a necessidade de ampliação do conceito de número racional e demonstraremos a irracionalidade da diagonal de um quadrado. Provaremos um importante Teorema conhecido na literatura como o Teorema de Dirichlet, e por fim elencaremos três métodos de aproximação de raízes quadradas de números naturais não quadrados perfeitos, muito simples de serem trabalhados em sala de aula que são: O algoritmo de aproximação racional de Hierão de Alexandria, A escada de Theon e a Equação de Pell-Fermat, sendo este último fundamental para discussão que iremos realizar sobre a relação dos três métodos apresentados.
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Zheng, Liying. "Operating Room Version of Safety Attitudes Questionnaire – An Analysis Using Structural Equation Models." Thesis, Uppsala universitet, Statistiska institutionen, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-175920.
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VISENTIN, Chiara. "A NUMERICAL AND EXPERIMENTAL VALIDATION OF THE DIFFUSION EQUATION APPLIED TO ROOM ACOUSTICS." Doctoral thesis, Università degli studi di Ferrara, 2012. http://hdl.handle.net/11392/2389432.
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The recently developed room-acoustics diffusion model relies on the basic as-
sumptions of the Fick’s law of diffusion, relating the acoustic intensity and the
energy density inside a room, through a constant diffusion coefficient. This study
investigates the relationship between these two acoustic quantities in the station-
ary state, for the particular case of long rooms with different amounts of boundary
scattering, by means of numerical simulations and experimental measurements.
The numerical study was performed with a sound particle-tracing code. The ex-
periments consist in measurements inside the scale model of a long room, where a
three-dimensional Microflown➤ probe (calibrated and equalized with digital filters)
was employed to collect data in terms of pressure and axial velocity components.
Then, for each receiver position, the intensity and the energy density gradient were
derived. Both numerical and experimental results show that inside long rooms the
diffusion coefficient is not a constant but increases with the distance from the
source, with a slope depending on the scattering coefficient of the walls. This re-
sult implies that, for such long enclosures, the diffusion model should consider a
space-varying diffusion coefficient to be more consistent with real phenomena.
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S, Stetsenko N. "Methods of finding the solution of the equations." Thesis, National Aviation University, 2021. https://er.nau.edu.ua/handle/NAU/50701.
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1. Higher_engineering_mathematics / Grewal_B._S.;
2. https://courses.lumenlearning.com/suny-beginalgebra/chapter/3-2-1-the-substitution-method/ ;
3. https://sciencing.com/3-methods-solving-systems-equations-8644686.html .Solving equations is given great importance. There are many different ways of solving algebraic equations that require a lot of different knowledge and are widely used. This is due to the fact that many geometric problems, problems in Physics, Chemistry, Biology and other sciences are solved with their help.
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SANTOS, ADILIO TITONELI DOS. "SOLVING METHODS OF ALGEBRAIC EQUATIONS AND ANALYSIS OF THE ROOTS OF POLYNOMIAL FUNCTIONS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2017. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=32358@1.
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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIROCOORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR
O trabalho apresentou as soluções de equações algébricas polinomiais por radicais e operações elementares nos coeficientes com a pesquisa baseada em livros e artigos; buscou explorar as diversas ideias desenvolvidas nas demonstrações, discussões sobre os casos e os artifícios engenhosos envolvidos, além de algumas demonstrações independentes; foram tratados ainda, os casos especiais onde as raízes estão sujeitas a condições pré estabelecidas e os coeficientes obedecem a uma dada lei; utilizamos a teoria de Abel-Ruffini e as implicações da teoria de Galois para justificar a impossibilidade de solução geral por radicais dos polinômios de grau n maior ou igual a 5 e a resposta a esse impasse com o surgimento de métodos numéricos de aproximação. Essas teorias e os métodos foram tratados em caráter elementar, por necessitarem de outros trabalhos detalhados, o que foge do objetivo desta obra. Sendo assim, vimos algoritmos que nos possibilitam o cálculo, nos casos do primeiro ao quarto graus, das soluções de uma equação algébrica polinomial além de casos especiais e aproximações numéricas. Utilizamos os programas de computação algébrica e geometria: Máxima, Geogebra e Maple para as aproximações, desenhos e gráficos.
The work presented the solutions of polynomial algebraic equations by radicals and elementary operations in the coefficients with research based on books and articles; Sought to explore the various ideas developed in the demonstrations, discussions on the cases and ingenious artifacts involved, as well as some independent demonstrations; Were still treated, the special cases where the roots are subject to pre-established conditions and the coefficients obey a given law; We use Abel-Ruffini s theory and the implications of Galois s theory to justify the impossibility of a general solution by radicals of polynomials of degree greater than or equal 5 and the answer to this impasse with the emergence of numerical approximation methods. These theories and methods were treated in an elementary way, because they require other detailed work, which is beyond the scope of this work. Thus, we have seen algorithms that allow us to calculate, in cases from 1st to 4th degrees, the solutions of a polynomial algebraic equation in addition to special cases and numerical approximations. We use the algebraic computing and geometry programs: Maxima, Geogebra and Maple for approximations, drawings and graphs.
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Akdas, Davut. "Modelling, control and locomotion of a twelve degree of freedom biped robot." Thesis, University of Salford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366313.
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Lee, Hock Seng, and n/a. "An ODE/MOL PDE Template For Soil Physics: A Numerical Study." Griffith University. Australian School of Environmental Studies, 2003. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20030616.142709.
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The aim of the thesis is to find a method, in conjunction with the ordinary differential equation (ODE) based method of lines (MOL) solution of Richards equation, to model the steep wetting front infiltration in very dry soils, accurately and efficiently. Due to the steep pressure head or steep water volumetric content gradients, highly nonlinear soil hydraulic properties and the rapid movement of the wetting front, accurate solutions for infiltration into a dry soil are usually difficult to obtain. Additionally, such problems often require very small time steps and large computation times. As an enhancement to the used ODE/MOL approach, Higher Order Finite Differencing, Varying Order Finite Differencing, Vertical Scaling, Adaptive Schemes and Non-uniform Stretching Techniques have been implemented and tested in this thesis. Success has been found in the ability of Vertical Scaling to simulate very steep moving front solution for the Burgers equation. Unfortunately, the results also show that Vertical Scaling needs significant research and improvement before their full potential in routine applications for difficult nonlinear problems, such as Richards equation with very steep moving front solution, can be realized. However, we have also shown that the use of the composed form of RE and a 2nd order finite differencing for the first order derivative approximation is conducive for modelling steep moving front problem in a very dry soil. Additionally, with the combination of an optimal influx value at the edges of the inlet, the ODE/MOL approach is able to model a 2-D infiltration in very dry soils, effectively and accurately. Furthermore, one of the strengths of this thesis is the use of a MATLAB PDE template. Implementing the ODE/MOL approach via a MATLAB PDE template has shown to be most suitable for modelling of partial differential equations. The plug and play mode of modifying the PDE template for solving time-dependent partial differential equations is user-friendly and easy, as compared to more conventional approaches using Pascal, Fortran, C or C++. The template offers greater modularity, flexibility, versatility, and efficiency for solving PDE problems in both 1-D and 2-D spatial dimensions. Moreover, the 2-D PDE template has been extended for irregular shaped domains.
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Höhne, Katharina [Verfasser], Hans-Görg [Akademischer Betreuer] Roos, and Lutz [Akademischer Betreuer] Tobiska. "Analysis and numerics of the singularly perturbed Oseen equations / Katharina Höhne. Betreuer: Hans-Görg Roos. Gutachter: Hans-Görg Roos ; Lutz Tobiska." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://d-nb.info/107946817X/34.
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Le, Hung Manh, and n/a. "Electronic Properties of Nanostructures from Hydrostatics and Hydrodynamics." Griffith University. School of Science, 1997. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20070403.094305.
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The behaviour of electrons in nanostructures such as quantum wells is of interest for the design of new electronic and electro-optic devices, and also for exploration of basic many-body physics. This thesis develops and tests improved methods for describing such electronic behaviour. The system used for this work was the parabolic quantum well (PQW), an important special system which has recently attracted much experimental and theoretical attention. We firstly report self-consistent nonlinear groundstate solutions of the Poisson equation together with the Thomas-Fermi (TF) hydrostatic equations. In contrast to most previous solutions, all the electron density profiles were inhomogeneous and continuous. We also added a von Weizsacker term with and without the exchange/exchange-correlation to the above treatment, using a novel numerical approach allowing for wider electron gases than previously possible. We also report for the first time the effects of spatially varying effective mass and dielectric function in theories of this type. To investigate infrared response of these systems, we apply new hydrodynamic theories recently proposed by Dobson. By using this type of theory, we simultaneously satisfy the Harmonic Potential Theorem (extended generalized Kohn theorem) and obtain the correct 2D plasmon dispersion, as well as obtaining the correct spacing of standing plasmons. Other inhomogeneous hydrodynamic theories do not achieve this. We also showed analytically an exact solution for a plasmon mode at the Kohn frequency in addition to one found in the Harmonic Potential Theorem. An open hydrodynamic theory was then developed based on this type of mode. Numerical application of Kohn Frequency Theorem theory was shown and the results were compared with other existing hydrodynamic theories.
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Went, Michael Ray, and n/a. "Scattering of Spin Polarized Electrons from Heavy Atoms: Krypton and Rubidium." Griffith University. School of Science, 2003. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20040220.134142.
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This thesis presents a set of measurements of spin asymmetries from the heavy atoms krypton and rubidium. These investigations allow examination of the spin orbit interaction for electron scattering from the target atoms. These measurements utilise spin polarized electrons in a crossed beam experiment to measure the Sherman function from krypton and the A2 parameter from the 52P state of rubidium. The measurements utilise a new spin polarized electron energy spectrometer which is designed to operate in the 20-200 eV range. The apparatus consists of a standard gallium arsenide polarized electron source, a 180 degrees hemispherical electron analyser to detect scattered electrons and a Mott detector to measure electron polarization. A series of measurements of the elastic Sherman function were performed on krypton at incident electron energies of 20, 50, 60, 65, 100, 150 and 200 eV. Scattered electrons are measured over an angular range of 30-130 degrees. These measurements are compared with calculations of the Sherman function which are obtained by solution of the Dirac-Fock equations. These calculations include potentials to account for dynamic polarization and loss of flux into inelastic channels. At the energies 50, 60 and 65 eV, experimental agreement with theory is seen to be extremely dependent on the theoretical model used. Measurement of the A2 parameter from the combined 52P1/2,3/2 state of rubidium are performed at an incident energy of 20 eV. The scattered electrons are measured over an angular range of 30-110 degrees. This measurement represents the first such measurement of this parameter for rubidium. Agreement with preliminary calculations performed using the R-matrix technique are good and are expected to improve with further theoretical development.
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Meng, Yao. "Hydrogen electrochemistry in room temperature ionic liquids." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:be24c6ea-c351-4855-ad9c-98e747ac87e4.
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This thesis primarily focuses on the electrochemical properties of the H2/H+ redox couple, at various metallic electrodes in room temperature ionic liquids. Initially, a comprehensive overview of room temperature ionic liquids, RTILs, compared to conventional organic solvents is presented which identifies their favourable properties and applications, followed by a second chapter describing the basic theory of electrochemistry. A third chapter presents the general experimental reagents, instruments and measurements used in this thesis. The results presented in this thesis are summarized in six further chapters and shown as follows. (1) Hydrogenolysis, hydrogen loaded palladium electrodes by electrolysis of H[NTf2] in a RTIL [C2mim][NTf2]. (2) Palladium nanoparticle-modified carbon nanotubes for electrochemical hydrogenolysis in RTILs. (3) Electrochemistry of hydrogen in the RTIL [C2mim][NTf2]: dissolved hydrogen lubricates diffusional transport. (4) The hydrogen evolution reaction in a room temperature ionic liquid: mechanism and electrocatalyst trends. (5) The formal potentials and electrode kinetics of the proton_hydrogen couple in various room temperature ionic liquids. (6) The electroreduction of benzoic acid: voltammetric observation of adsorbed hydrogen at a Platinum microelectrode in room temperature ionic liquids. The first two studies show electrochemically formed adsorbed H atoms at a metallic Pt or Pd surface can be used for clean, efficient, safe electrochemical hydrogenolysis of organic compounds in RTIL media. The next study shows the physicochemical changes of RTIL properties, arising from dissolved hydrogen gas. The last three studies looked at the electrochemical properties of H2/H+ redox couple at various metallic electrodes over a range of RTILs vs a stable Ag/Ag+ reference couple, using H[NTf2] and benzoic acid as proton sources. The kinetic and thermodynamic mechanisms of some reactions or processes are the same in RTILs as in conventional organic or aqueous solvents, but other remarkably different behaviours are presented. Most importantly significant constants are seen for platinum, gold and molybdenum electrodes in term of the mechanism of proton reduction to form hydrogen.
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Shlapunov, Alexander, and Nikolai Tarkhanov. "Sturm-Liouville problems in domains with non-smooth edges." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6733/.
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We consider a (generally, non-coercive) mixed boundary value problem in a bounded domain for a second order elliptic differential operator A. The differential operator is assumed to be of divergent form and the boundary operator B is of Robin type. The boundary is assumed to be a Lipschitz surface.
Besides, we distinguish a closed subset of the boundary and control the growth of solutions near this set. We prove that the pair (A,B) induces a Fredholm operator L in suitable weighted spaces of Sobolev type, the weight function being a power of the distance to the singular set. Moreover, we prove the completeness of root functions related to L.
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Paschoa, Vanessa Gonçalves 1986. "Zeros de polinômios ortogonais de variável discreta." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306957.
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Orientadores: Dimitar Kolev Dimitrov, Roberto AndreaniTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
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Resumo: Neste trabalho estudamos o comportamento de zeros de polinômios ortogonais clássicos de variável discreta. Provamos que certas funções que envolvem os zeros dos polinômios de Charlier, Meixner, Kravchuck e Hahn são funções monótonas dos parâmetros dos quais os correspondentes polinômios dependem. Com esse resultado obtemos novos limitantes extremamente precisos para os zeros dessas famílias de polinômios em função dos zeros dos polinômios ortogonais clássicos, que são mais estudados. Analisamos quais são os melhores limitantes explícitos para os zeros desses polinômios e aplicamos aos nossos resultados, obtendo assim limitantes explícitos para os zeros dos polinômios de Charlier, Meixner, Kravchuck e Hahn. São feitas comparações entre os nossos resultados e os melhores resultados encontrados na literatura para os zeros desses polinômios e verifica-se que nossos limitantes são, em uma grande parte, melhores. Devido à sua grande aplicabilidade, um estudo ainda mais minucioso foi feito para os zeros dos polinômios de Gram, um caso particular de Hahn, que resultou em limitantes para os zeros dos polinômios de Gram. Experimentos numéricos comprovam a qualidade dos resultados
Abstract: In this thesis we study the behavior of zeros of classical orthogonal polynomials of discrete variable. We prove that certain functions which involve the zeros of polynomials of Charlier, Meixner, Kravchuck and Hahn are monotonic with respect to the parameters on which the polynomials depend. As a consequence of these results we obtain new extremely precise limits for the zeros of the above polynomials in terms of zeros of classical orthogonal polynomials of continuous variable which have been studied thoroughly. We analyze the best bounds for the latter zeros and apply them to obtain explicit limits for the zeros of the polynomials of Charlier, Meixner, Kravchuck and Hahn. Comparisons with the best results known in the literature show that our results are better in most of the cases. Due to its applications, we perform a very detailed study of the zeros of Gram polynomials
Doutorado
Matematica Aplicada
Doutor em Matemática Aplicada
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E, Michurin I. "Using newton fractals for finding polynomial roots In the complex plane." Thesis, National Aviation University, 2021. https://er.nau.edu.ua/handle/NAU/50717.
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1. Bakhvalov, N. S., Zhidkov, N. P., & Kobelkov, G. M. (Eds.) (2008). Numerical methods. (6th ed.). Moscow: BINOM. Knowledge Laboratory.
2. Bozhokin, S. V., & Parshin, D. A. (2001). Fractals and multifractals. Izhevsk: Research Center "Regular and chaotic dynamics".
3. Zadachyn, V. M., & Konyushenko, I. G. (2014). Numerical methods. Kharkiv: Ed. KhNEU them. S. Kuznets.The problem of finding complex roots arises not only in algebra or number theory, but also in other fields. Various differential equations that describe physical processes: the behavior of nonlinear dynamical systems, turbulent fluid flows, diffusion, etc. - lead to the need to find the roots of polynomials. One of the popular methods of finding roots is Newton's method.
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Reibiger, Christian [Verfasser], Hans-Görg [Akademischer Betreuer] Roos, and Gert [Akademischer Betreuer] Lube. "Optimal Control Problems with Singularly Perturbed Differential Equations as Side Constraints: Analysis and Numerics / Christian Reibiger. Gutachter: Hans-Görg Roos ; Gert Lube. Betreuer: Hans-Görg Roos." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://d-nb.info/106909658X/34.
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Henning, Timothy Paul. "Dynamics and controls for an omnidirectional robot." Ohio : Ohio University, 2003. http://www.ohiolink.edu/etd/view.cgi?ohiou1175093596.
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BOUANANI, ABDELLAH. "Contribution a la modelisation geometrique et dynamique d'un robot marcheur bipede avec generation automatique des equations de liaisons." Poitiers, 1991. http://www.theses.fr/1991POIT2284.
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Le travail que nous presentons apporte une contribution nouvelle dans le domaine des robots marcheurs. Outre la bibliographie exhaustive, realisee concernant ce type de robots et en particulier les bipedes, nous avons realise les modelisations geometriques, cinematique et dynamique d'un robot marcheur bipede a 5 corps dans l'espace qui constitue une nouvelle etape dans la comprehension de la marche. La modelisation dynamique de ce bipede, s'appuie sur le formalisme de newton-euler dans lequel, grace a un procede mathematique, est realise l'elimination des efforts interieurs. Pour decrire la chaine cinematique du bipede, on utilise les coordonnees cartesiennes inertielles du centre de masse, les angles d'euler inertiels de chaque solide et les equations de liaisons entre les solides. On distingue parmi ces liaisons celles qui sont holonomes et celles qui sont non holonomes. Nous avons developpe deux logiciels de calcul symbolique, l'un permettant l'obtention automatique des equations de liaisons holonomes pour une chaine cinematique articulee generale et en particulier pour le bipede, et l'autre permettant le calcul automatique d'une partie des equations dynamiques. Enfin, aux modelisations geometriques et cinematiques obtenues, est accompagnee une selection de trajectoires plausibles du bipede selon un critere dit dans la litterature critere du zmp, et une animation de certains mouvements de la marche
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Durany, Vendrell Jaume. "Geometrical room acoustics: ray based simulation for room acoustics." Doctoral thesis, Universitat Pompeu Fabra, 2016. http://hdl.handle.net/10803/395190.
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L’acústica de sales és la ciència encarregada d’estudiar la propagació del so en
entorns tancats. La informació acústica de qualsevol entorn, coneguda com la
resposta impulsional, s’expressa en termes del camp acústic com una funció de
l’espai i el temps. La formulació analítica de la distribució de les variables del so és,
en general, extremadament complexa d’obtenir i només existeixen solucions
d’escenaris molt simples i irreals. Per tant, l’ús d’ordinadors per solucionar aquest
tipus de problemes ha emergit com una alternativa adequada per calular funcions de
resposta.
En aquesta Tesi ens hem centrat en l’ús de mètodes basats en rajos per calcular
funcions de resposta. Més concretament, presentem el disseny i la implementació
d’un motor de traçat de rajos que calcula funcions de resposta en cualsevol entorn
virtual, obtenint no només la funció de resposta per la presió sinó també pel vector de
velocitats del camp acústic. Amb aquesta informació extra tenim totes les dades
necessàries per modelar la propagació del so i podem de forma natural espacialitzar
un so per qualsevol configuració d’altaveus.
Aquesta recerca contribueix als aspectes principals del càlcul de funcions de resposta
utilitzant mètodes basats en rajos. El motor de traçat de rajos que presentem inclou un
mètode desenvolupat per aplicar la solució analítica de la Funció de Distribució
Acústica de Reflectància Bidireccional (A-BRDF) al Model de Dispersió Basat en
Vectors (VBS), fet que redueix molt notablement el cost computacional.Room acoustics is the science devoted to study sound propagation in enclosures where the sound conduction medium is bounded on all sides by walls, ceiling and floor. The acoustic information of any room, the so-called impulse response, is expressed in terms of the acoustic field as a function of space and time. The analytical formulation of the sound variables distribution is, in general, extremely hard to obtain and there only exist solutions of very simple and unrealistic scenarios. Therefore the use of computers for solving this type of problems has emerged as a proper alternative to calculate impulse responses. In this Thesis we focus on the use of the ray-based methods to compute impulse responses. More precisely, we present the design and implementation of a sound ray tracing engine that computes the impulse response in any given environment not only for the pressure but also for the velocity vector of the acoustic field. With this extra information we have all the necessary data to model the propagation of sound and we can then naturally spatialize the sound to any speakers layout. This research contributes to the main aspects in the computation of impulse responses using a ray-based approach. The presented ray tracing engine includes a method developed to apply the analytical solution for the Acoustic Bidirectional Reflectance Distribution Function (A-BRDF) in the Vector Based Scattering Model (VBS), which reduces dramatically the computational cost.
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Navarro, Ruiz Juan Miguel. "Discrete-time modelling of diffusion processes for room acoustics simulation and analysis." Doctoral thesis, Universitat Politècnica de València, 2012. http://hdl.handle.net/10251/14861.
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Esta tesis está centrada en el modelado de la acústica de salas en espacios cerrados mediante el uso de una ecuación de transferencia radiativa y una ecuación de difusión En este trabajo se investiga cómo a través de estos modelos teóricos se pueden simular el campo sonoro en espacios complejos. Recientemente, el modelo de la ecuación de fusión ha sido prppuesto para ser utilizado en el modelado de la acústica de salas con superficies que reflejan el sonido de forma totalmente difusa. Este enfoque del uso de la ecuación de la disusión de sido intensamente investigado en los últimos años, ya que proporciona una alta eficiencia y flexibilidad para simular las distribuciones del campo sonoro en diferentes tipos de salas; sin embargo, sólo se han realizado unas pocas investigaciones con el objetivo de indagar sobre la precisión y las limitaciones de este método alternativo.
Por lo tanto, en primer lugar se presenta un modelo basado en la ecuación de transferencia por radiación siendo meta principal el unificar una amplia gama de métodos geométricos de modelado de acústica de salas. Además, esta tesis está especialmente dedicada a establecer las bases y suposiciones que permitan obtener un modelo de difusión acústica como particularización del modelo de transferencia radiativa con el objetivo de conseguir una descripción clara y adecuada de sus ventajas y limitaciones desde el punto de vista teórico. Este trabajo permite enlazar directamente al modelo de la ecuación de difusión con el grupo de métodos de la acústica geométrica reforzando sus características y permitiendo una adecuada comparación con estos métodos ampliamente reconocidos.
Una vez realizado este análisis teórico, esta tesis también se dedica a cuestiones relativas a la implementación numérica del modelo acústico de la ecuación de difusión . En este trabajo, se modela el campo sonoro a través de esquemas en diferencias finitas. Los resultados de este estudio proporcionan soluciones simples y
practicas que muestran unos requerimientos computacionales bajos tanto
de consumo de memoria como de tiempo.Navarro Ruiz, JM. (2012). Discrete-time modelling of diffusion processes for room acoustics simulation and analysis [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/14861
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Joachimbauer, Florian. "Concise Modeling of Humanoid Dynamics." Thesis, Högskolan i Halmstad, Akademin för informationsteknologi, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-35094.
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Simulation of mechanical systems like walking robots, is an essential part in developingnew and more applicable solutions in robotics. The increasing complexity of methodsand technologies is a key challenge for common languages. That problem creates a needfor flexible and scalable languages. The thesis concludes that an equation-based toolusing the Euler-Lagrange can simplify the process cycle of modeling and simulation. Itcan minimize the development effort, if the tool supports derivatives. Regretfully, it isnot common to use equation-based tools with this ability for simulation of humanoidrobots.The research in this thesis illustrates the comparison of equation-based tools to commonused tools. The implementation uses the Euler-Lagrange method to model andsimulate nonlinear mechanical systems. The focus of this work is the comparison ofdifferent tools, respectively the development of a humanoid robot in a stepwise mannerbased on the principle of passive walking. Additionally, each developed model has givenan informal argument to its stability. To prove the correctness of the thesis statementthe equation-based tool called Acumen is evaluated in contrast to a common used tool,MATLAB.Based on the achieved results, it can be concluded that the use of equation-based toolsusing Euler-Lagrange formalism is convenient and scalable for humanoid robots. Additionally,the development process is significantly simplified by the advantages of suchtools. Due to the experimental nature of Acumen further research could investigatethe possibilities for different mechanical systems as well as other techniques.
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Maurício, Henrique Aparecido. "Da equação do 2º grau aos métodos numéricos para resolução de equações." Universidade Federal de Juiz de Fora (UFJF), 2013. https://repositorio.ufjf.br/jspui/handle/ufjf/2360.
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CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Neste trabalho, apresentamos alguns métodos aproximativos como alternativa para a obtenção de soluções de equações do tipo f(x) = 0, onde f(x) é uma função. Iniciamos apresentando algumas maneiras de se resolver as equações do 2º grau. Em seguida, introduzimos os métodos numéricos da Bissecção, Falsa Posição e Ponto Fixo e propomos atividades para serem realizadas numa turma de ensino básico.
In this work, we present some approximation methods as an alternative to obtain solutions of equations of type f(x) = 0, where f(x) is a function. We begin presenting some ways to solve the equations of the 2nd degree. Then we introduce the numerical methods of Bisection, False Position and Fixed Point and propose activities to be performed in a class of basic education.
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Marenco, Javier. "Estudio de las fuerzas de arrastre de cables umbilicales de robots de inspección o desobstrucción de tuberías." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2017. http://hdl.handle.net/10183/172303.
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The present work makes a study of the drag forces of umbilical cables of pipes inspection robots and aims to determine a valid model for their calculation. For this purpose, the physical models are developed in relation to the friction forces for the straight and curved sections in all their possible configurations, obtaining for each case a differential equation that models the friction phenomenon and that includes fluid and cable the characteristics. By solving the differential equation, an explicit expression is obtained for the value of the frictional force in each case. In the present work, the obtained model is evaluated in comparison with the traditional simplified model. It is also presented a study about the influence of the stiffness of the cable and how this characteristic generates the forces of the normal general forces at the ends of the curves that, finally, result in an additional component of the frictional forces. By comparison with actual drag force measurements, the model obtained is validated. The complexity of the calculations required for the determination of the pull forces in real pipes makes it necessary to use software tools to facilitate it. For this reason, two software applications are developed, one specific for rigid pipes and another one for flexible pipes. A series of strategies of how to keep low the maximum value of the cable tension are presented too.El presente trabajo se dedica al estudio de fuerzas de arrastre de cables umbilicales de robot de inspección o desobstrucción de tuberías y tiene como objetivo la determinación de un modelo válido para el cálculo de las mismas. Para tal fin, se desarrollan los modelos físicos en relación a las fuerzas de rozamiento presentes para tramos rectos y curvas en todas sus configuraciones posibles, obteniéndose así, para cada caso, una ecuación diferencial que modela el fenómeno del rozamiento y que incluye las variables propias del fluido presente y las características pertinentes del cable. Mediante la resolución de esa ecuación diferencial, se obtiene una expresión explícita para el valor de la fuerza de rozamiento en cada caso. En el presente trabajo, el modelo obtenido es evaluado mediante comparación con el modelo simplificado tradicional de manera de ver los alcances del nuevo modelo. Se realiza también una presentación de la influencia que tiene la rigidez del cable y como esta rigidez a la flexión genera fuerzas normales adicionales en los extremos de las curvas que redundan finalmente en una componente adicional de las fuerzas de fricción. Mediante comparación con mediciones reales de fuerza de arrastre se valida el modelo obtenido Dada la complejidad de los cálculos requeridos para la determinación de las fuerzas de arrastre de tuberías reales se desarrollan dos aplicaciones de software para el cálculo de las mismas, una específica para tuberías rígidas y otra para tuberías flexibles utilizando algoritmos de cálculo basados en las ecuaciones determinadas. Son presentadas también, una serie de estrategias de forma de mantener acotado el valor máximo de la tensión de cable. Dentro de las estrategias están la elección de materiales de recubrimiento de cable que presenten un bajo coeficiente de fricción con la tubería, la adopción de cables cuyo peso específico sea tal que el peso se iguale a la fuerza de empuje y la incorporación de varios dispositivos de tracción del cable de modo de mantener bajas las contra tensiones del cable utilizando un sistema distribuido de empuje.
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Oturkar, Siddharth A. "Push Recovery of Humanoid Robot Using Thruster and Acceleration Compensation." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1339752428.
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Le, Roux Candice. "Nocturnal roost tree, roost site and landscape characteristics of Carnaby's Black-Cockatoo (Calyptorynchus latirostris) on the Swan Coastal Plain." Thesis, Edith Cowan University, Research Online, Perth, Western Australia, 2017. https://ro.ecu.edu.au/theses/2017.
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There is limited information on communal roosting in parrot species of Western Australia and other parts of the world. Carnaby’s Black-Cockatoo is an endangered species that forms large nocturnal communal roosts, and for this reason they are an ideal model species to test the characteristics or factors that are associated with roost sites. Known roost sites distributed across the Swan Coastal Plain were identified and selected through the Great Cocky Count project. A minimum of five and maximum of ten individual trees were assessed at 11 roost sites with an overall total of 95 roost trees sampled. I determined the tree species composition and vegetation structural arrangement, as well as the roost site location properties of each of the selected roosts. A total of 18 widely dispersed roost sites on the Swan Coastal Plain were chosen for spatial analysis of landscape characteristics at three scales, namely 1, 6 and 12 km radii around each roost. Landscape characteristics were derived from data layers using a geographical information system. Generalized linear modelling was used to investigate which landscape variables best explain the roost count numbers and fidelity of Carnaby’s Black-Cockatoo at the three spatial scales. Landscape variables were broadly categorised into urban pressures, tree characteristics, and, food and water availability.
I found that at the roost tree scale, the cockatoos utilised a wide range of native and non-native trees, situated within a variety of land-use types. Results showed that bird’s roosted in tall (average of > 25 m) tree species that have relatively thick trunks (average DBH of 1 m) and medium foliage density (average of 50 %), and that are not too densely forested amongst other trees (average tree crown connectivity was 20.58 %). Carnaby’s Black-Cockatoos showed no preferences for any particular tree species or bark colour across the study sites. At the landscape scale, models (based on Akaike Information Criterion) showed that variables associated with bird abundance and roost fidelity varied with scale. The models highlighted the importance of a 1 km radius of potential roost trees (tall trees i.e. ≥ 8 m) across all scales, and food (Banksia and pine) and water sources, particularly within a 1 and 6 km radius. Study sites surrounded by more urban pressure may be driving greater numbers of Carnaby’s Black-Cockatoo at such sites because the formation of larger flocks can increase resource location in fragmented landscapes. Reduced density of roads and non-native ground cover vegetation, over the greater landscape, indicated that restricting the amount of densely urbanised structures should be considered when further developing around roost sites across the Swan Coastal Plain.
The nocturnal roost study sites had greater fidelity and numbers of cockatoos with a combination of landscape variables at different scales, which are based on habitat structure, food availability and water availability. The understanding of the characteristics of communal roosts, roost site choice, and the surrounding matrix developed in this thesis provides managers with insights on how best to conserve this species.
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Holgado, Henrique Semensato. "Da solubilidade por meio de radicais à métodos alternativos – determinando as raízes polinomiais." Universidade Federal de Goiás, 2016. http://repositorio.bc.ufg.br/tede/handle/tede/6273.
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The study of algebra, within the basic education, has become a very important tool for the students in this segment because it allows many problems can be solved through the creation of simple equations. Unfortunately, this area of mathematics has not received the due importance to the story reveals to us and, therefore, their understanding is nothing more than a simple “mathematical formula” . Thus, this work covers a small part of the history of mathematics giving proper credit to employees this area exposing their genius to _nd statements, algebraically, the roots of an equation of degree through operations with radicals and, in addition, other methods that also allow to _nd the solutions of the equations of a algebraic way.
O estudo da álgebra, dentro da educação básica, se tornou uma ferramenta extremamente importante para o discente neste segmento pois permite que inúmeros problemas podem ser solucionados através da criação de simples equações. Infelizmente, esta área da matemática não tem recebido a devida importância que a história nos revela e, portanto, sua compreensão não passa de uma simples “fórmula matemática”. Assim, este trabalho contempla uma pequena parte da história da matemática dando o devido crédito aos colaboradores desta área expondo suas demonstrações geniais para encontrar, algebricamente, as raízes de uma equação de grau por meio de operações com radicais e, além disso, outros métodos que também permitam encontrar as soluções das equações de uma maneira não algébrica.
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Chang, Jen-Chien Jack. "Implicit solid modeling using interval methods /." Thesis, Connect to this title online; UW restricted, 2000. http://hdl.handle.net/1773/10690.
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Carraschi, Jonas Eduardo. "Equações polinomiais." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-07072014-141824/.
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Estudamos neste trabalho as equações polinomiais em sua abrangência: quadráticas, cúbicas e quárticas por diversos métodos clássicos, a limitação das raízes, resultados sobre equações polinomiais com coeficientes reais e inteiros, entre outrosWe studied in this work polynomial equations in a wide reach: quadratic, cubic and quartic polynomials by several classical methods, the boundness of roots, results about polynomial equations with real and integer coefficients, among other results
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Fantini, Jay A. "CONVERSION FROM ENGINEERING UNITS TO TELEMETRY COUNTS ON DRYDEN FLIGHT SIMULATORS." International Foundation for Telemetering, 1998. http://hdl.handle.net/10150/609226.
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International Telemetering Conference Proceedings / October 26-29, 1998 / Town & Country Resort Hotel and Convention Center, San Diego, CaliforniaDryden real-time flight simulators encompass the simulation of pulse code modulation (PCM) telemetry signals. This paper presents a new method whereby the calibration polynomial (from first to sixth order), representing the conversion from counts to engineering units (EU), is numerically inverted in real time. The result is less than onecount error for valid EU inputs. The Newton-Raphson method is used to numerically invert the polynomial. A reverse linear interpolation between the EU limits is used to obtain an initial value for the desired telemetry count. The method presented here is not new. What is new is how classical numerical techniques are optimized to take advantage of modern computer power to perform the desired calculations in real time. This technique makes the method simple to understand and implement. There are no interpolation tables to store in memory as in traditional methods. The NASA F-15 simulation converts and transmits over 1000 parameters at 80 times/sec. This paper presents algorithm development, FORTRAN code, and performance results.
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Silva, Edson Vander da. "Resolubilidade de polinômios: da teoria ao ensino-aprendizagem." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/55/55136/tde-13112018-144405/.
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Neste trabalho, estudamos polinômios e equações polinomiais, apresentando orientações dos Parâmetros Curriculares Nacionais e informações de como alguns livros didáticos abordam o tema quanto ao tratamento, à metodologia e à priorização no planejamento escolar. Considerando polinômios com coeficientes reais ou complexos, buscamos condições sobre os coeficientes para que tais polinômios tenham raízes. Refletimos sobre como os professores de Matemática podem tratar o tema em sala de aula para obter resultados positivos e tornar a aprendizagem mais atrativa. Abordamos diversos resultados, como o Teorema do Resto, o dispositivo prático de Briot-Ruffini, o Teorema da Decomposição, as relações de Girard, o Teorema das Raízes Racionais, o Teorema Fundamental da Álgebra e as fórmulas de resolução de equações polinomiais por radicais até o quarto grau. Apresentamos uma abordagem para sala de aula com a utilização de um recurso computacional didático e instrumento de avaliação diferenciado.In this dissertation, we study polynomials and polynomial equations, presenting guidelines from the National Curricular Parameters and information on how some textbooks discuss the topic regarding the treatment, the methodology and the prioritization in school planning. Considering polynomials with real or complex coefficients, we seek conditions on these coefficients so that we ensure that these polynomials have roots. We reflect on how Math teachers can address the topic in the classroom in order to get positive results making the learning more attractive. We address several results such as the Polynomial Remainder Theorem, the Briot-Ruffinis practical rule, the Decomposition Theorem, the Girards relations, the Rational Roots Theorem, the Fundamental Theorem of Algebra and the resolution formulas for polynomial equations by radicals up to the fourth degree. We present a lesson plan with the use of a teaching computational resource and differentiated evaluation tool.
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Allouche, Benyamine. "Modélisation et commande des robots : nouvelles approches basées sur les modèles Takagi-Sugeno." Thesis, Valenciennes, 2016. http://www.theses.fr/2016VALE0021/document.
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Chaque année, plus de 5 millions de personne à travers le monde deviennent hémiplégiques suite à un accident vasculaire cérébral. Ce soudain déficit neurologique conduit bien souvent à une perte partielle ou totale de la station debout et/ou à la perte de la capacité de déambulation. Dans l’optique de proposer de nouvelles solutions d’assistance situées entre le fauteuil roulant et le déambulateur, cette thèse s’inscrit dans le cadre du projet ANR TECSAN VHIPOD « véhicule individuel de transport en station debout auto-équilibrée pour personnes handicapées avec aide à la verticalisation ». Dans ce contexte, ces travaux de recherche apportent des éléments de réponse à deux problématiques fondamentales du projet : l’assistance au passage assis-debout (PAD) des personnes hémiplégiques et le déplacement à l’aide d’un véhicule auto-équilibré à deux roues. Ces problématiques sont abordées du point de vue de la robotique avec comme question centrale : peut-on utiliser l’approche Takagi-Sugeno (TS) pour la synthèse d’une commande ? Dans un premier temps, la problématique de mobilité des personnes handicapées a été traitée sur la base d’une solution de type gyropode. Des lois de commande basées sur les approches TS standard et descripteur ont été proposées afin d’étudier la stabilisation des gyropodes dans des situations particulières telles que le déplacement sur un terrain en pente ou le franchissement de petites marches. Les résultats obtenus ont non seulement permis d’aboutir à un concept potentiellement capable de franchir des obstacles, mais ils ont également permis de souligner la principale difficulté liée à l’applicabilité de l’approche TS en raison du conservatisme des conditions LMIs (inégalités matricielles linéaires). Dans un second temps, un banc d’assistance au PAD à architecture parallèle a été conçu. Ce type de manipulateur constitué de multiples boucles cinématiques présente un modèle dynamique très complexe (habituellement donné sous forme d’équations différentielles ordinaires). L’application de lois de commande basées sur l’approche TS est souvent vouée à l’échec compte tenu du grand nombre de non-linéarités dans le modèle. Afin de remédier à ce problème, une nouvelle approche de modélisation a été proposée. À partir d’un jeu de coordonnées bien particulier, le principe des puissances virtuelles est utilisé pour générer un modèle dynamique sous forme d’équations algébro-différentielles (DAEs). Cette approche permet d’aboutir à un modèle quasi-LPV où les seuls paramètres variants représentent les multiplicateurs de Lagrange issus de la modélisation DAE. Les résultats obtenus ont été validés en simulation sur un robot parallèle à 2 degrés de liberté (ddl) puis sur un robot parallèle à 3 ddl développé pour l’assistance au PADEvery year more than 5 million people worldwide become hemiplegic as a direct consequence of stroke. This neurological deficiency, often leads to a partial or a total loss of standing up abilities and /or ambulation skills. In order to propose new supporting solutions lying between the wheelchair and the walker, this thesis comes within the ANR TECSAN project named VHIPOD “self-balanced transporter for disabled persons with sit-to-stand function”. In this context, this research provides some answers for two key issues of the project : the sit-to-stand assistance (STS) of hemiplegic people and their mobility through a two wheeled self-balanced solution. These issues are addressed from a robotic point of view while focusing on a key question : are we able to extend the use of Takagi-Sugeno approach (TS) to the control of complex systems ? Firstly, the issue of mobility of disabled persons was treated on the basis of a self-balanced solution. Control laws based on the standard and descriptor TS approaches have been proposed for the stabilization of gyropod in particular situations such as moving along a slope or crossing small steps. The results have led to the design a two-wheeled transporter which is potentially able to deal with the steps. On the other hand, these results have also highlighted the main challenge related to the use of TS approach such as the conservatisms of the LMIs constraints (Linear Matrix Inequalities). In a second time, a test bench for the STS assistance based on parallel kinematic manipulator (PKM) was designed. This kind of manipulator characterized by several closed kinematic chains often presents a complex dynamical model (given as a set of ordinary differential equations, ODEs). The application of control laws based on the TS approach is often doomed to failure given the large number of non-linear terms in the model. To overcome this problem, a new modeling approach was proposed. From a particular set of coordinates, the principle of virtual power was used to generate a dynamical model based on the differential algebraic equations (DAEs). This approach leads to a quasi-LPV model where the only varying parameters are the Lagrange multipliers derived from the constraint equations of the DAE model. The results were validated on simulation through a 2-DOF (degrees of freedom) parallel robot (Biglide) and a 3-DOF manipulator (Triglide) designed for the STS assistance
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Kathekeyan, Myuran. "Fatigue performance and design of cold-formed steel roof battens under cyclic wind uplift loads." Thesis, Queensland University of Technology, 2018. https://eprints.qut.edu.au/122471/1/Myuran_Kathekeyan_Thesis.pdf.
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This thesis investigates the fatigue pull-through failures of steel roof batten to rafter connections and proposes suitable design equations to enhance the safety of thin steel roof battens in cyclones. Suitable design equations were developed based on both linear and nonlinear damage theories by carefully investigating the factors affecting the failure via small and full-scale experimental studies and associated numerical studies. The proposed design equations have the potential to replace the current Australian design method based on complex and time-consuming prototype cyclic tests, and also those used in many other countries.
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Hirota, Eduardo Koiti. "Técnica de perturbação utilizada para solução numérica de equações do 2º e 3º graus." Universidade Federal de Goiás, 2014. http://repositorio.bc.ufg.br/tede/handle/tede/4022.
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
Phenomenon that occur in the nature are essentially nonlinear and the dynamical systems theory aims to obtain a mathematical model that best represents the real physical systems, then nothing more coherent than the description or analysis of these natural phenomenon using models and techniques. In this dissertation, the technique of direct expansion for the development of two differential equations order to solve a nonlinear equation and the approximate determination of the roots of order algebraic equation higher or equal to two, was used. For this purpose, it was initially shown the development of a differential equation of motion subjected to a nonlinear damping, which is represented by the equation of Duffing – Van der Pol. Generally, it’s not easy to obtain an approximated analytical solution for this type equation, but this study was done with the purpouse of illustrating the technique used in the work, solving type solving a problem in which these techniques are routinely used to obtain a solution. Studied for application in basic education, it presents a way to obtain the approximate roots of equations of second and third degrees, using the technique of direct expansion for the sake of comparison. Since there are formulas for resolving this, It was proved that is possible to determine the roots of high-order equations by using the same technique.
Os fenômenos que ocorrem na natureza são essencialmente não lineares e a teoria de sistemas dinâmicos tem como objetivo obter um modelo matemático que represente melhor os sistemas físicos reais, então nada mais coerentes que a descrição ou análise desses fenômenos naturais usando modelos e técnicas não lineares. Nesta dissertação, foi utilizada a técnica da expansão direta para o desenvolvimento de equações diferenciais de ordem dois para resolução de uma equação não linear e na determinação aproximada de raízes de equações algébricas de ordem maior ou igual a dois. Com esse intuito, mostrou-se, inicialmente, o desenvolvimento de uma equação diferencial do movimento sujeito a um amortecimento não linear, que é representado pela equação de Duffing – Van der Pol. Geralmente, não é fácil obter uma solução analítica aproximada para esse tipo de equação, porém, este estudo é feito com a finalidade de ilustrar a técnica empregada no trabalho, resolvendo um tipo de problema no qual essas técnicas são corriqueiramente utilizadas para obter uma solução. Visando a aplicabilidade no ensino básico, apresenta-se uma forma de se obter as raízes aproximadas de equações do segundo e terceiro graus usando a técnica da expansão direta para efeito de comparação uma vez que existem fórmulas resolutivas para isso, provouse que é possível determinar as raízes de equações de ordem maior por meio da mesma técnica.
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Melo, Claudio Umberto de. "O método de Cardano e sua aplicação no ensino médio." Universidade Federal de Goiás, 2014. http://repositorio.bc.ufg.br/tede/handle/tede/3976.
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
This work presents a study on the Cardano's method applied in 3rd degree polynomial equations of the form x3 + px + q = 0; p; q 2 R and use in the classroom, the 3rd year of high school, working with the procedure without the use of formula to determine a root of 3rd degree polynomial equation. The application of this method searches enable to students a relevant intellectual enrichment for future studies of the exact sciences. In this work not used a diagnostic evaluation to analyse the level of understanding of theme, only search to apply the procedure used by Cardano, in the classroom, and especially present a demonstration of this procedure to an equation in the general form of the 3rd degree. The study brings a historical approach of the resolutions of the equations, after, a theoretical foundation for the study of polynomials, detaching the theorems main, propositions and key de nitions for the study of the polynomial functions. Moreover, detach the study of the characteristics of the roots of an equation of the 3rd degree of analytical and graphical form, where we present an analytical resolution for the 4th degree equations. However, we conclude that the application of this study demonstrates that students have greater facility to nd a root of an equation in the general form, as well as the other roots. Therefore, the procedure used in classroom presents a method to nd at least one root of an equation of the 3rd degree, without the use of formula. Keywords
Este trabalho apresenta um estudo sobre o método de Cardano aplicado em equações polinomiais do 3o grau da forma x3 + px + q = 0; p; q 2 R e a utilização em sala, do 3o ano do Ensino Médio, trabalhando com o procedimento sem o uso de fórmula para determinar uma raiz de equação polinomial do 3o grau. A aplicação deste método busca possibilitar aos alunos um enriquecimento intelectual relevante para futuros estudos das ciências exatas. Neste trabalho não foi utilizado uma avaliação diagnóstica para analisar o nível de compreensão do tema, apenas buscou aplicar o procedimento utilizado por Cardano, em sala de aula, e principalmente apresentar uma demonstração deste procedimento para uma equação na forma geral do 3o grau. O estudo traz uma abordagem histórica das resoluções das equações, posteriormente, uma fundamentação teórica para o estudo dos polinômios, destacando os principais teoremas, proposições e de nições fundamentais para o estudo das funções polinomiais. Além disso, destaca o estudo das características das raízes de uma equação do 3o grau de forma analítica e grá ca, onde apresentamos uma resolução analítica para as equações do 4o grau. Contudo, concluímos que a aplicação deste estudo demonstra que os alunos apresentam maior facilidade para encontrar uma raiz de uma equação na forma geral, assim como as demais raízes. Portanto, o procedimento utilizado em sala apresenta um método para encontrar
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Dejan, Ćebić. "Optimalni višekoračni metodi NJutnovog tipa za nalaženje višestrukih korena nelinearne jednačine sa poznatom celobrojnom višestrukošću." Phd thesis, Univerzitet u Novom Sadu, Fakultet tehničkih nauka u Novom Sadu, 2018. https://www.cris.uns.ac.rs/record.jsf?recordId=105555&source=NDLTD&language=en.
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Ova disertacija se bavi problemom određivanja višestrukih rešenja realnih nelinearnih jednačina kada je višestrukost unapred poznati prirodan broj. Teorijski se analiziraju i numerički testiraju red konvergencije i optimalnost neki dobro poznatih metoda poput Liu-Čou metoda i Čou-Čen-Song metoda. Izvodi se i objašnjava zavisnost optimalnog reda konvergencije i parnosti/neparnosti višestrukosti rešenja. Takođe, konstruišu se dve nove familije postupaka osmog reda konvergecnije. Razmatraju se nove familije dvokoračnih postupaka namenjene za rešavanje problema koje klasični metodi NJutnovog tipa ne mogu da reše.This thesis deals with the problem of determing multiple roots of real nonlinear equations where the multiplicity is some integer known in advance. The convergence order and optimal properties of some well-known methods such as Liu-Zhou method and Zhou-Chen-Song method are theoretically analyzed and numerically tested. The dependence of optimal convergence order on multiplicity has been derived and explained. Further, two new efficient families of methods with optimal eighth convergence order have been constructed. Furthermore, some new families of two-step methods are considered to solve certain problems where the classical Newton-type methods fail.
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Shehadeh, Mhd Ali. "Geometrické řízení hadům podobných robotů." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-417115.
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This master’s thesis describes equations of motion for dynamic model of nonholonomic constrained system, namely the trident robotic snakes. The model is studied in the form of Lagrange's equations and D’Alembert’s principle is applied. Actually this thesis is a continuation of the study going at VUT about the simulations of non-holonomic mechanisms, specifically robotic snakes. The kinematics model was well-examined in the work of of Byrtus, Roman and Vechetová, Jana. So here we provide equations of motion and address the motion planning problem regarding dynamics of the trident snake equipped with active joints through basic examples and propose a feedback linearization algorithm.