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1

Taylor, Joshua Adam. "Uncertainty analysis of power systems using collocation." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/45891.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2008.
Includes bibliographical references (p. 93-97).
The next-generation all-electric ship represents a class of design and control problems in which the system is too large to approach analytically, and even with many conventional computational techniques. Additionally, numerous environmental interactions and inaccurate system model information make uncertainty a necessary consideration. Characterizing systems under uncertainty is essentially a problem of representing the system as a function over a random space. This can be accomplished by sampling the function, where in the case of the electric ship a "sample" is a simulation with uncertain parameters set according to the location of the sample. For systems on the scale of the electric ship, simulation is expensive, so we seek an accurate representation of the system from a minimal number of simulations. To this end, collocation is employed to compute statistical moments, from which sensitivity can be inferred, and to construct surrogate models with which interpolation can be used to propagate PDF's. These techniques are applied to three large-scale electric ship models. The conventional formulation for the sparse grid, a collocation algorithm, is modified to yield improved performance. Theoretical bounds and computational examples are given to support the modification. A dimension-adaptive collocation algorithm is implemented in an unscented Kalman filter, and improvement over extended Kalman and unscented filters is seen in two examples.
by Joshua Adam Taylor.
S.M.
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2

Farrell, Patricio. "Multilevel collocation with radial basis functions." Thesis, University of Oxford, 2014. https://ora.ox.ac.uk/objects/uuid:9fd99f0f-2556-41eb-8bcd-5b9256296a17.

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In this thesis, we analyse multilevel collocation methods involving compactly supported radial basis functions. We focus on linear second-order elliptic bound- ary value problems as well as Darcy's problem. While in the former case we use scalar-valued positive definite functions for constructing multilevel approximants, in the latter case we use matrix-valued functions that are automatically divergence-free. A similar result is presented for interpolating divergence-free vector fields. Even though it had been observed more than a decade ago that the stationary setting, i.e. when the support radii shrink as fast as the mesh norm, does not lead to convergence, it was up to now an open question how the support radii should depend on the mesh norm to ensure convergence. For each case above, we answer this question here thoroughly. Furthermore, we analyse and improve the stability of the linear systems. And lastly, we examine the case when the approximant does not lie in the same space as the solution to the PDE.
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3

Sergeev, Boris Anatolievich 1964. "Analysis of composite laminates with multiple fasteners by boundary collocation technique." Diss., The University of Arizona, 1997. http://hdl.handle.net/10150/282412.

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Mechanical fasteners remain the primary means of load transfer between structural components made of composite laminates. As, in pursuit of increasing efficiency of the structure, the operational load continues to grow, the load carried by each fastener increases accordingly. This accelerates initiation of fatigue-related cracks near the fasteners holes and increases probability of failure. Therefore, the assessment of the stresses around the fastener holes and the stress intensity factors associated with edge cracks becomes critical for damage-tolerant design. Because of the presence of unknown contact stresses and the contact region between the fastener and the laminate, the analysis of a pin-loaded hole becomes considerably more complex than that of a traction-free hole. The accurate prediction of the contact stress distribution along the hole boundary is critical for determining the stress intensity factors and is essential for reliable strength evaluation and failure prediction. This study concerns the development of an analytical methodology, based on the boundary collocation technique, to determine the contact stresses and stress intensity factors required for strength and life prediction of bolted joints with many fasteners. It provides an analytical capability for determining the non-linear contact stresses in mechanically fastened composite laminates while capturing the effects of finite geometry, presence of edge cracks, interaction among fasteners, material anisotropy, fastener flexibility, fastener-hole clearance, friction between the pin and the laminate, and by-pass loading. Also, the proposed approach permits the determination of the fastener load distribution, which significantly influences the failure load of a multi-fastener joint. The well known phenomenon of the fastener tightening torque (clamping force) influence on the load distribution among the different fastener in a multi-fastener joints is taken into account by means of bi-linear representation of the elastic fastener deflection. Finally, two different failure criteria, maximum strains averaged over the characteristic distances and Tsai-Wu criterion, were used to predict the failure load and failure mode in two composite-aluminum joints. The comparison of the present predictions with the published experimental results reveals their agreement.
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4

Amireghbali, Aydin. "Elastic Analysis Of A Circumferential Crack In An Isotropic Curved Beam Using Modified Mapping-collocation Method." Master's thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615675/index.pdf.

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The modified mapping-collocation (MMC) method is applied to analyze a circumferential crack in an isotropic curved beam. Based on the method a MATLAB code was developed to obtain the stress field. Incorporating the stress correlation technique, the opening and sliding fracture mode stress intensity factors (SIF)s of the crack for the beam under pure bending moment load case are calculated. The MMC method aims to solve two-dimensional problems of linear elastic fracture mechanics (LEFM) by combining the power of analytic tools of complex analysis (Muskhelishvili formulation, conformal mapping, and extension arguments) with simplicity of applying the boundary collocation method as a numerical solution approach. Qualitatively, a good agreement between the computed stress contours and the fringe shapes obtained from the photoelastic experiment on a plexiglass specimen is observed. Quantitatively, the results are compared with that of ANSYS finite element analysis software. The effect of crack size, crack position and beam thickness variation on SIF values and mode mixity is investigated.
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5

Jabbour, Georgette. "Corpus linguistics, contextual collocation and ESP syllabus creation : a text-analysis approach to the study of medical research articles." Thesis, University of Birmingham, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.342109.

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6

Mian, A. Hafeez. "A micro-analysis of collocation in the interlanguage of Pakistani adults learning English as a second language." Thesis, University of British Columbia, 1988. http://hdl.handle.net/2429/28174.

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A micro-analysis of the interlanguage (IL) employed by Pakistanis learning English as a second language (ESL) is performed on ten subjects' speech samples in order to gain insights into their second language acquisition. Only one aspect of ESL — collocation is studied. Collocation is idiomatic in nature and has single-lexemic function; it is assumed therefore to present some acquisitive and productive difficulties for second language learners, who would tend to fail to recognize collocations as "fixed" expressions and to view each word within them as independent and therefore replaceable. The objective of this study is to analyze the conversational collocation errors that Pakistani-Canadians make in ESL. This study addresses the following three hypotheses: 1) that in the English variation in collocation across discourse domains; speech of Pakistani subjects correctness will be found 2) that a continuum will be found for this variation, running between more Target-like collocations in the Work Talk Domain / Exposition Activity and fewer Target-like collocations in the Life Story Domain / Narrative Activity; 3) that formally educated subjects will show more Target-like use of collocations than informally educated subjects. The results of this study show that there exists an IL in Pakistani-Canadians' use of the English language. The IL of Pakistani-Canadians' English seems to indicate that: 1) IL collocations are domain specific; 2) Non-target-like collocations occur most often when referring to quantification; in T-unit initial position; and adjacent to parallel contextual and/or structural forms; and they often contain article ellipsis; 3) In addition, this study shows that formally educated subjects produce more Target-like collocations than informally educated subjects. Furthermore, this study has generated some questions and highlighted areas that merit further research.
Education, Faculty of
Language and Literacy Education (LLED), Department of
Graduate
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7

Anderson, Wendy J. "A corpus linguistic analysis of phraseology and collocation in the register of current European Union administrative French." Thesis, University of St Andrews, 2003. http://hdl.handle.net/10023/4909.

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The French administrative language of the European Union is an emerging discourse: it is less than fifty years old, and has its origins in the French administrative register of the middle of the twentieth century. This thesis has two main objectives. The first is descriptive: using the flourishing methodology of corpus linguistics, and a specially compiled two-million word corpus of texts, it aims to describe the current discourse of EU French in terms of its phraseology and collocational patterning, in particular in relation to its French national counterpart. The description confirms the phraseological specificity of EU language but shows that not all of this can be ascribed to semantic or pragmatic factors. The second objective of this thesis is therefore explanatory: given the phraseological differences evident between the two discourses, and by means of a diachronic comparison, it asks how the EU discourse has developed in relation to the national discourse. A detailed analysis is provided of differences between the administrative language as a whole and other registers of French, and indeed of genre-based variation within the administrative register. Three main types of phraseological patterning are investigated: phraseology which is the creation of administrators themselves; phraseological elements which are part of the general language heritage adopted by the administrative register; and collocational patterning which, as a statistical notion, is the creation of the corpus. The thesis then seeks to identify the most significant influences on the discourse. The data indicates that, contrary to expectations, English, nowadays the most commonly-used official language of the EU institutions, has had relatively little influence. More importantly, the translation process itself has acted as a conservative influence on the EU discourse. This corresponds with linguistic findings about the nature of translated text.
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8

Salama, Amir Hamza Youssef. "Ideological collocation in meta-Wahhabi discourse post-9/11: a symbiosis of critical discourse analysis and corpus linguistics." Thesis, Lancaster University, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.652016.

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This thesis attempts to answer the following overarching question: How has Wahhabi Islam been ideologically recontextualized across post-9/11 opposing discourses via collocation? Drawing on a methodological synergy of corpus linguistics and CDA (Baker et al. 2008; 8alama 2011 1 ), I propose a linguistic model for explicating the ideological nature of collocation between two clashing books: Stephen Schwartz's (2002) The Two Faces of Islam: The House of Sa'ud from Tradition to Terror and Natana DeLong-Bas's (2004) Wahhabi Islam: From Revival and Reform to Global Jihad. The two books, produced post-91l1, take diametrically opposing stances towards the same socio-religious practice of Wahhabi IslarnlWahhabism. First, using WorSmith5, keywords were used to identify the different semantic foci in the two texts, along with their relevant 'macropropositions' (Van Dijk 1980, 1995, 2009b). A small number of keywords were selected for further analysis, and their functions in contributing towards ideologies were investigated by examining their collocates, relying on the concepts of textual synonymy, oppositional paradigms and argumentative fallacies. Second, the meta-Wahhabi discourses underlying the two texts are analysed by focusing on the discourse processes of producing, intelpreting and explaining the patterns of collocations in the texts. Contextual information, such as relevant biographical information relating to the text producers, was taken into account. Additionally, a socio-cognitive approach was used to consider ideological coherence and socio-religious schernas which motivated the ideological use of collocations in both texts. Finally, from a social-semiotic perspective, interdiscursive meanings and the symbolic power invested with the collocating words as religious or political signs are queried. The findings offered in the present thesis cover methodological and theoretical aspects. First, on a theoretical level, there are findings that relate to how collocation as a micro textual resource can closely interface with other macro discourse and language processes, e.g. ideology, (social) cognition, semiotics and interdiscursivity. Second, on a methodological level, this study has contributed to the presently well-established 'methodological synergy' of corpus linguistics and CDA in a symbiotic fashion. This can be recognized in two respects: I) compared to pure CDA research, the methodological procedure followed in this study (which goes from the quantitative to the qualitative methods) rcnders the identification of the linguistic phenomenon - collocation - studied in this research far lcss subjectively identified; 2) the possibility of contextualizing the keywords extracted from onc text by conducting a macropropositional analysis (i.e. identifying the topics and themes) in this text.
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9

Chayopitak, Nattapon. "Performance Assessment and Design Optimization of Linear Synchronous Motors for Manufacturing Applications." Diss., Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/16281.

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The major contributions of this thesis are categorized into three areas: (i) magnetic modeling, (ii) optimal performance assessment and (iii) multi-objective design methodology of the linear permanent-magnet (LPM) and linear variable reluctance (LVR) motors for manufacturing automation applications. The target application is to perform repetitive point-to-point positioning tasks on a continuous basis under temperature constraints. Through simplification, the constraint on temperature rise may be replaced by a constraint on average power dissipation, provided that the thermal resistance is constant and known. The basic framework of analysis is first introduced for a class of idealized linear synchronous (LS) motors, where magnetic saturation and spatial harmonics are neglected, to provide clarity and insight. The physics-based force models for the LPM and LVR motors, including spatial harmonics and magnetic saturation as appropriate, are then developed. Due to magnetic linearity, the force model of the LPM motor is derived from the analytical solution of the Poisson Equation. A nonlinear magnetic circuit analysis model is developed for the LVR motor that includes both spatial harmonics and magnetic saturation. The accuracy of both force models are verified by finite element analysis. Applying those force models, the optimal performance assessment of the LPM and LVR motors is explored using the mathematical framework discussed for the idealized LS motors. In particular, the relationship between travel time and travel distance is characterized in terms of average power dissipation. The performance assessment methodologies developed here may be applied to any motor technology used in manufacturing automation applications. The multi-objective design optimization problem is then defined and software for its solution is developed using Monte-Carlo synthesis, the performance assessment tools and dominance-based sorting. Design results for the LPM and LVR motors are then presented. Future research is discussed as the conclusion of the thesis.
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10

Jannet, Basile. "Influence de la non-stationnarité du milieu de propagation sur le processus de Retournement Temporel (RT)." Thesis, Clermont-Ferrand 2, 2014. http://www.theses.fr/2014CLF22436/document.

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Cette thèse a pour objectif la quantification de l’impact d’incertitudes affectant le processus de Retournement Temporel (RT). Ces aléas, de natures diverses, peuvent avoir une forte influence s’ils se produisent entre les deux étapes du RT. Dans cette optique la méthode de Collocation Stochastique (CS) est utilisée. Les très bons résultats en termes d’efficacité et de précision observés lors de précédentes études en Compatibilité ÉlectroMagnétique (CEM) se confirment ici, pour des problématiques de RT. Cependant, lorsque la dimension du problème à traiter augmente (nombre de variables aléatoires important), la méthode de CS atteint ses limites en termes d’efficacité. Une étude a donc été menée sur les méthodes d’Analyse de Sensibilité (AS) qui permettent de déterminer les parts d’influence respectives des entrées d’un modèle. Parmi les différentes techniques quantitatives et qualitatives, la méthode de Morris et un calcul des indices de Sobol totaux ont été retenus. Ces derniers apportent des résultats qualitatifs à moindre frais, car seule une séparation des variables prépondérantes est recherchée. C’est pourquoi une méthodologie combinant des techniques d’AS avec la méthode de CS a été développée. En réduisant le modèle aux seules variables prédominantes grâce à une première étude faisant intervenir les méthodes d’AS, la CS peut ensuite retrouver toute son efficacité avec une grande précision. Ce processus global a été validé face à la méthode de Monte Carlo sur différentes problématiques mettant en jeu le RT soumis à des aléas de natures variées
The aim of this thesis is to measure and quantify the impacts of uncertainties in the Time Reversal (TR) process. These random variations, coming from diverse sources, can have a huge influence if they happen between the TR steps. On this perspective, the Stochastique Collocation (SC) method is used. Very good results in terms of effectiveness and accuracy had been noticed in previous studies in ElectroMagnetic Compatibility (EMC). The conclusions are still excellent here on TR problems. Although, when the problem dimension rises (high number of Random Variables (RV)), the SC method reaches its limits and the efficiency decreases. Therefore a study on Sensitivity Analysis (SA) techniques has been carried out. Indeed, these methods emphasize the respective influences of the random variables of a model. Among the various quantitative or qualitative SA techniques the Morris method and the Sobol total sensivity indices have been adopted. Since only a split of the inputs (point out of the predominant RV) is expected, they bring results at a lesser cost. That is why a novel method is built, combining SA techniques and the SC method. In a first step, the model is reduced with SA techniques. Then, the shortened model in which only the prevailing inputs remain, allows the SC method to show once again its efficiency with a high accuracy. This global process has been validated facing Monte Carlo results on several analytical and numerical TR cases subjet to random variations
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11

Pellén, Angelica. "Oh foxy lady, where art thou? : A corpus based analysis of the word foxy, from a gender stereotype perspective." Thesis, Växjö University, School of Humanities, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-2569.

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Abstract

The aim of this essay is to establish whether or not the word foxy can serve to illustrate gender differences and gender stereotypes in English. The analysis is conducted by using one American English corpus and one British English corpus in order to make a comparison of the two English varieties. Apart from the comparative study, foxy is examined and categorized according to gender and a number of features to help answering the research questions which are:

• What difference in meaning, if any, does the word foxy carry when used for males, females and inanimate things?

• Can the word foxy serve to illustrate gender stereotypes in English?

• Are there any differences regarding how foxy is used in American English compared to British English?

Throughout the essay previous studies are presented, terms and tools that have been used are defined and argued for. One of the conclusions drawn in this study is that there is a significant difference in meaning when foxy is used in American English compared to British English. There are, however, also differences concerning the use of foxy when referring to males, females and inanimate things.

Keywords: Collocation, corpus studies, foxy, gender, language, linguistics, semantic prosody, stereotypes.

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12

Andersson, Johan. "Bug Report: A Study of Semantic Change during the Digital Revolution." Thesis, Stockholms universitet, Engelska institutionen, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-189593.

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Semantic change is a phenomenon that has been subject to a lot of research during the past few decades. However, a large part of the existing research has been conducted with the goal of finding causes of change or creating typologies in order to classify different types of changes. The present study has been conducted with the aim to examine how a specific extra-linguistic factor has affected a select few words. The extra-linguistic factor that is the focal point of this study is the rapid technological change during what is known as the digital revolution. This essay explores how the digital revolution has affected the uses of four words: bug, web, mouse,and cloud. The first part of this study was a collocational analysis of these four words. The results of the collocational analysis indicated that changes occurred during certain time periods. A closer context analysis was performed for each of the words on the time period during which a semantic change was suspected to occur. The findings of this essay are that all the examined words have gotten new technological meanings during the past 70 years, thus exhibiting semantic widening. All four words are currently polysemous words. Replacive change, meaning a change in the primary meaning of a word, is only apparent in web. The remaining words keep their primary senses throughout the examined period, and the new senses are added as periphery senses. The trends in the usage of these words indicate that it is possible that more of them will undergo replacive change, however, it is too early to tell.
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13

Luther, Uwe. "Approximation Spaces in the Numerical Analysis of Cauchy Singular Integral Equations." Doctoral thesis, Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200500895.

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The paper is devoted to the foundation of approximation methods for integral equations of the form (aI+SbI+K)f=g, where S is the Cauchy singular integral operator on (-1,1) and K is a weakly singular integral operator. Here a,b,g are given functions on (-1,1) and the unknown function f on (-1,1) is looked for. It is assumed that a and b are real-valued and Hölder continuous functions on [-1,1] without common zeros and that g belongs to some weighted space of Hölder continuous functions. In particular, g may have a finite number of singularities. Based on known spectral properties of Cauchy singular integral operators approximation methods for the numerical solution of the above equation are constructed, where both aspects the theoretical convergence and the numerical practicability are taken into account. The weighted uniform convergence of these methods is studied using a general approach based on the theory of approximation spaces. With the help of this approach it is possible to prove simultaneously the stability, the convergence and results on the order of convergence of the approximation methods under consideration.
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14

Kandil, Magdi Ahmed. "The Israeli-Palestinian Conflict in American, Arab, and British Media: Corpus-Based Critical Discourse Analysis." Digital Archive @ GSU, 2009. http://digitalarchive.gsu.edu/alesl_diss/12.

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The Israeli-Palestinian conflict is one of the longest and most violent conflicts in modern history. The language used to represent this important conflict in the media is frequently commented on by scholars and political commentators (e.g., Ackerman, 2001; Fisk, 2001; Mearsheimer & Walt, 2007). To date, however, few studies in the field of applied linguistics have attempted a thorough investigation of the language used to represent the conflict in influential media outlets using systematic methods of linguistic analysis. The current study aims to partially bridge this gap by combining methods and analytical frameworks from Critical Discourse Analysis (CDA) and Corpus Linguistics (CL) to analyze the discursive representation of the Israeli-Palestinian conflict in American, Arab, and British media, represented by CNN, Al-Jazeera Arabic, and BBC respectively. CDA, which is primarily interested in studying how power and ideology are enacted and resisted in the use of language in social and political contexts, has been frequently criticized mainly for the arbitrary selection of a small number of texts or text fragments to be analyzed. In order to strengthen CDA analysis, Stubbs (1997) suggested that CDA analysts should utilize techniques from CL, which employs computational approaches to perform quantitative and qualitative analysis of actual patterns of use occurring in a large and principled collection of natural texts. In this study, the corpus-based keyword technique is initially used to identify the topics that tend to be emphasized, downplayed, and/or left out in the coverage of the Israeli-Palestinian conflict in three corpora complied from the news websites of Al-Jazeera, CNN, and the BBC. Topics –such as terrorism, occupation, settlements, and the recent Israeli disengagement plan—which were found to be key in the coverage of the conflict—are further studied in context using several other corpus tools, especially the concordancer and the collocation finder. The analysis reveals some of the strategies employed by each news website to control for the positive or negative representations of the different actors involved in the conflict. The corpus findings are interpreted using some informative CDA frameworks, especially Van Dijk’s (1998) ideological square framework.
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15

Garcia, Gonzalez Jesus. "Numerical analysis of fluid motion at low Reynolds numbers." Thesis, University of Manchester, 2017. https://www.research.manchester.ac.uk/portal/en/theses/numerical-analysis-of-fluid-motion-at-low-reynolds-numbers(4cf30194-0155-439d-879a-c49787549e8c).html.

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At low Reynolds number flows, the effect of inertia becomes negligible and the fluid motion is dominated by the effect of viscous forces. Understanding of the behaviour of low Reynolds number flows underpins the prediction of the motion of microorganisms and particle sedimentation as well as the development of micro-robots that could potentially swim inside the human body to perform targeted drug/cell delivery and non-invasive microsurgery. The work in this thesis focuses on developing an understanding in the mathematical analysis of objects moving at low Reynolds numbers. A boundary element implementation of the Method of regularized Stokeslets (MRS) is applied to analyse the low Reynolds number flow field around an object of simple shape (sphere and cube). It also showed that the results obtained by a boundary element implementation for an unbounded cube, where singularities are presented in the corners of the cube, agrees with more complex solutions methods such as a GBEM and FEM.A methodology for analysing the effect of walls by locating collocation points on the surface of the walls and the object is presented. First at all, this methodology is validated with a boundary element implementation of the method of images for a sphere at different locations. Then, the method is extended when more than one wall is presented. This methodology is applied to predict the velocity filed of a cube moving in a tow tank at low Reynolds numbers for two different cases with a supporting rod similar to an experimental set-up, and without the supporting rod as in the CFD simulations based on the FVM. The results indicate a good match between CFD and the MRS, and an excellent approximation between the MRS and experimental data from PIV measurements. The drag, thrust and torque generated by helices moving at low Reynolds numbers in an unbounded medium is analysed by the resistive force theory, a slender body theory, and a boundary element method of the MRS. The results show that the resistive force theory predict accurately the drag, thrust and torque of moving helices when the resistive force coefficients are calculated from a slender body theory approximation by calculating independently the resistive force coefficients for translation and rotation, because it is observed that the resistive force coefficients depend also of the nature of motion. Moreover, the thrust generated by helices of different pitch angles is analysed calculated by a CFD numerical simulation based on the FVM and a boundary element implementation, an compared with experimental data. The results also show an excellent prediction between the boundary element implementation, the CFD results and the experimental data. Finally, a boundary element implementation of the MRS is applied to predict swimming of a biomimetic swimmer that mimics the motion of E.coli bacteria in an unbounded medium. The results are compared with the propulsive velocity and induced angular velocity measurement by recording the motion of the biomimetic swimmer in a square tank. It is observed that special care needs to be taken when the biomimetic swimmer is modelled inside the tank, as there is an apparent increment in the calculate thrust propulsion which does not represent a real situation of the biometic swimmer which propels by a power supply. However, this increment does not represent the condition of the biomimetic swimmer and a suggested methodology based on the solution from an unbounded case and when the swimmer is moving inside the tank is presented. In addition, the prediction of the free-swimming velocity for the biomimetic swimmer agrees with the results obtained by the MRS when the resistive force coefficients are calculated from a SBT implementation. The results obtained in this work have showed that a boundary element implementation of the MRS produces results comparable with more complex numerical implementations such as GBEM, FEM, FVM, and also an excellent agreement with results obtained from experimentation. Therefore, it is a suitable and easy to apply methodology to analyse the motion of swimmers at low Reynolds numbers, such as the biomimetic swimmer modelled in this work.
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Alici, Haydar. "Pseudospectral Methods For Differential Equations: Application To The Schrodingertype Eigenvalue Problems." Master's thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/1086198/index.pdf.

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In this thesis, a survey on pseudospectral methods for differential equations is presented. Properties of the classical orthogonal polynomials required in this context are reviewed. Differentiation matrices corresponding to Jacobi, Laguerre,and Hermite cases are constructed. A fairly detailed investigation is made for the Hermite spectral methods, which is applied to the Schrö
dinger eigenvalue equation with several potentials. A discussion of the numerical results and comparison with other methods are then introduced to deduce the effciency of the method.
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McMichen, James. "Determination of areas and basins of attraction in planar dynamical systems using meshless collocation." Thesis, University of Sussex, 2016. http://sro.sussex.ac.uk/id/eprint/65707/.

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This work is focused on the approximation of sets of attractive solutions of planar dynamical systems. Existing work has shown that for many dynamical systems a Riemannian contraction metric can be used to determine sets of solutions with certain attraction properties. For autonomous dynamical systems in R² it has been shown that the Riemannian contraction metric can be reduced to a scalar weight function W. In this work we show that a similar result holds true for finite-time dynamical systems with one spatial dimension. We show how meshless collocation can be used to construct an approximation of W. The approximated weight function can then be used to determine subsets of the area of exponential attraction. This is the first time a method has been introduced to approximate finite-time areas of exponential attraction. We also give a convergence proof for the method. For autonomous dynamical systems in R² there already exists a method that uses W to determine a subset of the basin of attraction of an exponentially stable periodic orbit, Ω. However that method relies on properties of Ω being known. We show that the existing equation for W can be manipulated so that no knowledge of the periodic orbit is required to approximate W. We present a method that utilises meshless collocation to approximate W and show that the method is convergent. The approximant of W is then used to determine subsets of the basin of attraction of Ω.
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18

Alharbi, Rezan Mohammed S. "Acquisition of lexical collocations : a corpus-assisted contrastive analysis and translation approach." Thesis, University of Newcastle upon Tyne, 2017. http://hdl.handle.net/10443/3660.

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Research from the past 20 years has indicated that much of natural language consists of formulaic sequences or chunks. It has been suggested that learning vocabulary as discrete items does not necessarily help L2 learners become successful communicators or fluent and accurate language users. Collocations, i.e. words that usually go together as one form of formulaic sequences, constitute an inherent problem for ESL/ EFL learners. Researchers have submitted that non-congruent collocations, i.e. collocations that do not have corresponding L1 equivalents, are especially difficult to acquire by ESL/ EFL learners. This study examines the effect of three Focus-on-Forms instructional approaches on the passive and active acquisition of non-congruent collocations: 1) the non-corpus-assisted contrastive analysis and translation (CAT) approach, 2) the corpus-assisted CAT approach, and 3) the corpus-assisted non-CAT approach. To fully assess the proposed combined condition (i.e. the corpus-assisted CAT) and its learning outcomes, a control group under no-condition was included for a baseline comparison. Thirty collocations non-congruent with the learners’ L1 (Arabic) were chosen for this study. 129 undergraduate EFL learners in a Saudi University participated in the study. The participants were assigned to the three experimental groups and to the control group following a cluster random sampling method. The corpus-assisted CAT group performed (L1/ L2 and L2/ L1) translation tasks with the help of bilingual English/ Arabic corpus data. The non-corpus CAT group was assigned text-based translation tasks and received contrastive analysis of the target collocations and their L1 translation options from the teacher. The non-contrastive group performed multiple-choice/ gap-filling tasks with the help of monolingual corpus data, focusing on the target items. Immediately after the intervention stage, the three groups were tested on the retention of the target collocations by two tests: active recall and passive recall. The same tests were administered to the participants three weeks later. The corpus-assisted CAT group significantly outperformed the other two groups on all the tests. These results were discussed in light of the ‘noticing’, ‘task-induced involvement load’, and ‘pushed output’ hypotheses and the influence that L1 exerts on the acquisition of L2 vocabulary. The discussion includes an evaluation of the three instructional conditions in ii relation to different determinants, dimensions and functions within the hypotheses.
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Singh, Pranav. "High accuracy computational methods for the semiclassical Schrödinger equation." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/274913.

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The computation of Schrödinger equations in the semiclassical regime presents several enduring challenges due to the presence of the small semiclassical parameter. Standard approaches for solving these equations commence with spatial discretisation followed by exponentiation of the discretised Hamiltonian via exponential splittings. In this thesis we follow an alternative strategy${-}$we develop a new technique, called the symmetric Zassenhaus splitting procedure, which involves directly splitting the exponential of the undiscretised Hamiltonian. This technique allows us to design methods that are highly efficient in the semiclassical regime. Our analysis takes place in the Lie algebra generated by multiplicative operators and polynomials of the differential operator. This Lie algebra is completely characterised by Jordan polynomials in the differential operator, which constitute naturally symmetrised differential operators. Combined with the $\mathbb{Z}_2$-graded structure of this Lie algebra, the symmetry results in skew-Hermiticity of the exponents for Zassenhaus-style splittings, resulting in unitary evolution and numerical stability. The properties of commutator simplification and height reduction in these Lie algebras result in a highly effective form of $\textit{asymptotic splitting:} $exponential splittings where consecutive terms are scaled by increasing powers of the small semiclassical parameter. This leads to high accuracy methods whose costs grow quadratically with higher orders of accuracy. Time-dependent potentials are tackled by developing commutator-free Magnus expansions in our Lie algebra, which are subsequently split using the Zassenhaus algorithm. We present two approaches for developing arbitrarily high-order Magnus--Zassenhaus schemes${-}$one where the integrals are discretised using Gauss--Legendre quadrature at the outset and another where integrals are preserved throughout. These schemes feature high accuracy, allow large time steps, and the quadratic growth of their costs is found to be superior to traditional approaches such as Magnus--Lanczos methods and Yoshida splittings based on traditional Magnus expansions that feature nested commutators of matrices. An analysis of these operatorial splittings and expansions is carried out by characterising the highly oscillatory behaviour of the solution.
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Kurosaki, Shino. "An analysis of the knowledge and use of English collocations by French and Japanese learners." Thesis, Royal Holloway, University of London, 2012. http://repository.royalholloway.ac.uk/items/d65f4c4b-8bac-d738-3735-83b5e5e031a7/8/.

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While it has been recognized that the use of collocations is significant for L2 learners, much research has not been carried out on the knowledge and use of learner's collocations. The present study investigated differences on the knowledge and use of collocations between French and Japanese learners with regard to: 1) L1 influence; and 2) combinability and transparency influence. The test materials included four categories of the lexical collocations: 1) verb + noun; 2) delexicalised verb + noun; 3) adjective + noun; and 4) adverb + adjective. The two types of tasks, Multiple Choice Question Tasks and Translation Tasks, are performed, and the learner corpora are also investigated in order to examine whether the learners from different L1 backgrounds demonstrate different results. Since both French and English belong to IndoEuropean background languages, they share a number of cognate words. Thus, originally it was expected that L1 influence of the French learners would be higher in all of the four lexical collocations than that of Japanese learners, who have non-IndoEuropean backgrounds. Though L1 influence by both French and Japanese learners was demonstrated, the Japanese learners showed a greater L1 influence in the [adjective + noun] category than the French learners. The investigation also found that L1 influence does not necessarily result in accuracy of the collocations. With regard to the combinability and transparency influence, the results of the two types of tasks followed the previous remark made by Kellerman (1978) who argues that L2 learners are unable to transfer words with figurative meaning. However, some contrasted results were also identified in learner corpus investigation. Thus the combinability and transparency influence were not necessarily identified. The results of the present study have a potential to improve teaching/learning of collocations through recognizing the learners' tendencies of learning collocations.
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Elwolde, John Francis Nicholas Magnus. "Aspects of the collocational analysis of meaning with special reference to some Biblical Hebrew anatomical idioms." Thesis, University of Hull, 1987. http://hydra.hull.ac.uk/resources/hull:5343.

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Although the biblical data presented can be properly assessed only by a Hebraist/Old Testament exegete, I have attempted to make the work a little more accessible to linguistic scientists without specialization in Hebrew through provision of English glosses of Hebrew passages (rarely of more than a biblical verse in length). Typically these glosses are from NEB, although where NEB's rendering does not closely match the Hebrew sequence (e.g., if NEB omits certain Hebrew phrases because they would be redundant or cumbersome in English, or adopts substantial emendations of NT, or is, in my opinion, erroneous in respect of a particular translation) I have utilized JB, or, occasionally, AV. Italicized sequences (narking expressions not directly expressed in the Hebrew original) in AV (and in the translation of Rash!) are not thus distinguished in my quotations, and I have used 'Lord' for AV and NEB 'LORD'. NEB has been chosen as the primary source because at a semantic, if not a stylistic, level it provides an 'idiomatic' translation, and because its emendations are easy to trace (through Brockington's work). The few tines that I wish to make a translation point particularly strongly or where I feel none of the forementioned translations to be adequate I provide my own glosses. Such renderings, unlike those quoted from other sources, are not accompanied by a citation of source. Within glosses words representing a collocation or other expression being discussed are capitalized. BHK/S is used as the source of quotations from the Hebrew Bible, although its division of cola is not displayed; the caesura (athnach) is sometimes indicated by the use of a new line, or, if only one line of text is displayed, by a double space within this line. In 'citation-forms' of Hebrew text, we utilize a 'plene' orthography. Chapter and verse references are always to the Hebrew Bible. ...
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Oumouni, Mestapha. "Analyse numérique de méthodes performantes pour les EDP stochastiques modélisant l'écoulement et le transport en milieux poreux." Phd thesis, Université Rennes 1, 2013. http://tel.archives-ouvertes.fr/tel-00904512.

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Ce travail présente un développement et une analyse des approches numériques déterministes et probabilistes efficaces pour les équations aux dérivées partielles avec des coefficients et données aléatoires. On s'intéresse au problème d'écoulement stationnaire avec des données aléatoires. Une méthode de projection dans le cas unidimensionnel est présentée, permettant de calculer efficacement la moyenne de la solution. Nous utilisons la méthode de collocation anisotrope des grilles clairsemées. D'abord, un indicateur de l'erreur satisfaisant une borne supérieure de l'erreur est introduit, il permet de calculer les poids d'anisotropie de la méthode. Ensuite, nous démontrons une amélioration de l'erreur a priori de la méthode. Elle confirme l'efficacité de la méthode en comparaison avec celle de Monte Carlo et elle sera utilisée pour accélérer la méthode par l'extrapolation de Richardson. Nous présentons aussi une analyse numérique d'une méthode probabiliste pour quantifier la migration d'un contaminant dans un milieu aléatoire. Nous considérons le problème d'écoulement couplé avec l'équation d'advection-diffusion, où on s'intéresse à la moyenne de l'extension et de la dispersion du soluté. Le modèle d'écoulement est discrétisé par une méthode des éléments finis mixtes, la concentration du soluté est une densité d'une solution d'une équation différentielle stochastique, qui sera discrétisée par un schéma d'Euler. Enfin, nous présentons une formule explicite de la dispersion et des estimations de l'erreur a priori optimales.
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Reilly, Natalia. "A Comparative Analysis of Present and Past Participial Adjectives and their Collocations in the Corpus of Contemporary American English (COCA)." Master's thesis, University of Central Florida, 2013. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/6011.

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ESL grammar books have lists of present and past participial adjectives based on author intuition rather than actual word frequency. In these textbooks, the –ing and –ed participial adjectives derived from transitive verbs of state and emotion are presented in pairs such as interesting/interested, boring/bored, or surprising/surprised. This present study used the Corpus of Contemporary American English http://corpus.byu.edu/coca/ (COCA) to investigate the overall frequency of participial adjectives in use as well as their frequency within certain varieties of contexts. The results have shown that among most frequently used participial adjectives there are not only the participial adjectives derived from transitive verbs of psychological state, such as interesting/interested, but also the participial adjectives derived from transitive verbs of action with their intransitive equivalents, such as increasing/increased. The data also revealed that many participial adjectives lack corresponding counterparts and thus cannot be presented in –ing/-ed or -en pairs (e. g., existing, ongoing, concerned, supposed). Finally, a majority of the differences between participial adjectives, including the differences between present (-ing) and past (-ed or -en) participial adjectives, are reflected in their collocations. This study suggests that a new approach of teaching participial adjectives along with their collocations in relation to their frequencies in particular contexts can help second language learners develop awareness of how and when these participial adjectives should be used to convey an individual's intended meaning in a native-like manner.
M.A.
Masters
Modern Languages
Arts and Humanities
Teaching English to Speakers of Other Languages
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Boyer, Germain. "Étude de stabilité et simulation numérique de l’écoulement interne des moteurs à propergol solide simplifiés." Thesis, Toulouse, ISAE, 2012. http://www.theses.fr/2012ESAE0029/document.

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Cette thèse vise à modéliser les instabilités hydrodynamiques générant des détachements tourbillonnaires pariétaux (ou VSP) responsables des Oscillations De Pression dans les moteurs à propergol solide longs et segmentés par interaction avec l’acoustique du moteur. Ces instabilités sont modélisées en tant que modes de stabilité linéaire globaux de l’écoulement d’un conduit à parois débitantes. En supposant que les structures pariétales émergent d’une perturbation de l’écoulement de base, des modes discrets et indépendants du maillage utilisé sont calculés. Dans ce but, une discrétisation par collocation spectrale multi-domaine est implémentée dans un solveur parallèle afin de s’affranchir de la croissance polynomiale des fonctions propres et de la présence de couches limites. Les valeurs propres ainsi calculées dépendent explicitement des frontières du domaine, à savoir la position de la perturbation et celle de la sortie, et sont ensuite validées par simulation numérique directe. On montre alors qu’elles permettent bien de décrire la réponse à une perturbation initiale de l’écoulement modifié par une rupture de débit pariétale. Ensuite, la simulation d’une réponse forcée par l’acoustique se fait sous forme de structures tourbillonnaires dont les fréquences discrètes sont en accord avec celles des modes de stabilité. Ces structures sont réfléchies en ondes de pression de même fréquences remontant l’écoulement. Finalement, la simulation numérique et la théorie de la stabilité permettent de montrer que le VSP, dont la réponse est linéaire vis-à-vis d’un forçage compressible comme l’acoustique, est le phénomène moteur des Oscillations De Pression
The current work deals with the modeling of the hydrodynamic instabilities that play a major role in the triggering of the Pressure Oscillations occurring in large segmented solid rocket motors. These instabilities are responsible for the emergence of Parietal Vortex Shedding (PVS) and they interact with the boosters acoustics. They are first modeled as eigenmodes of the internal steady flowfield of a cylindrical duct with sidewall injection within the global linear stability theory framework. Assuming that the related parietal structures emerge from a baseflow disturbance, discrete meshindependant eigenmodes are computed. In this purpose, a multi-domain spectral collocation technique is implemented in a parallel solver to tackle numerical issues such as the eigenfunctions polynomial axial amplification and the existence of boundary layers. The resulting eigenvalues explicitly depend on the location of the boundaries, namely those of the baseflow disturbance and the duct exit, and are then validated by performing Direct Numerical Simulations. First, they successfully describe flow response to an initial disturbance with sidewall velocity injection break. Then, the simulated forced response to acoustics consists in vortical structures wihich discrete frequencies that are in good agreement with those of the eigenmodes. These structures are reflected into upstream pressure waves with identical frequencies. Finally, the PVS, which response to a compressible forcing such as the acoustic one is linear, is understood as the driving phenomenon of the Pressure Oscillations thanks to both numerical simulation and stability theory
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Varvara, Rossella. "Verbs as nouns: empirical investigations on event-denoting nominalizations." Doctoral thesis, Università degli studi di Trento, 2017. http://hdl.handle.net/2158/1175499.

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In this thesis, I study the differences in form and interpretation presented by event-denoting nominalizations. Frequently, languages have more than one type of event nominalization, such as deverbal nouns derived by means of suxes (Italian mutamento / mutazione, ‘change’, ‘mutation’, or English assignment, explosion) and their corresponding verbal nouns, e.g. infinitives (il mutare, ‘the changing’) or gerunds (exploding). These are usually perceived as alternatives, since their semantic difference is not clearly understood by neither native speakers nor linguists. The aim of this work is to understand the rationale that leads us to choose one form instead of the other and to define the linguistic features involved. The hypothesis underlying the whole thesis is that different forms are never true synonyms and, thus, present some differences in use, distribution or meaning. In a first study, I explore the role of the base verb in the nominalization selection. I investigate if the various nominalizations are formed from different types of base verbs and which characteristics define their domain of application. By means of statistical modeling, I highlight how the transitivity of the base verb partially determines which nominalization is preferred. Moreover, I show that NIs are not used to make up for the lack of a corresponding EDN, refuting previous claims. Then, I move forward analyzing the cases in which both forms are derived from the same base and I try to understand if they differ in meaning. In the second study presented, I use collocation analysis to observe their semantic dissimilarities. With focus on a single syntactic pattern, I find out that nominal infinitives and deverbal nouns inherit only part of the base verb senses. The former usually prefer metaphorical and abstract senses, whereas the latter select more concrete and literal ones. Lastly, I use distributional semantic models to observe quantitatively the semantic shift of the two processes. I confirm the hypothesis that nominal infinitives are more transparent and more semantically regular than deverbal nouns, given their inflectional nature. The studies presented have been conducted on Italian and German; however, the findings are relevant for the general treatment of nominalizations and may be replicated for further languages. Overall, my work shows how quantitative analyses of corpus data can help us investigate problems that are hardly addressed by linguists introspection. Moreover, it includes in the study of nominalizations nominal infinitives, non-finite verbal forms which, contrary to English gerunds, have not received the attention they deserve.
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Kassis, Nazih. "English collocational categories : a syntactic, thematic and socio-cultural classification and analysis with special reference to dictionaries for foreign learners." Thesis, University of Exeter, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.359739.

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Lakaw, Alexander. "The use of arise and rise in present-day British & American English : A corpus based analysis of two verbs." Thesis, Växjö University, School of Humanities, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-1374.

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This corpus based investigation deals with the present-day usage of and the semantic relation between the two verbs rise and arise. Concordance lines containing various forms of the two verbs in question have been taken from six different (sub)corpora and were examined in view of their collocational and semantic characteristics. The basic aims were to investigate the nowadays status of the verbs rise and arise and whether they (still) can be regarded as synonyms. The results show that both verbs can sometimes be used synonymously. Their general semantic relation appeared to be near-synonymy. Furthermore, both verbs seem to have developed a semantic specialisation, which is regarded a counterargument for the thesis that the verb arise is on the verge of dying out.

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Alhujaylan, Hailah. "A computer-aided error analysis of Saudi students' written English and an evaluation of the efficacy of using the data-driven learning approach to teach collocations and lexical phrases." Thesis, University of Essex, 2016. http://repository.essex.ac.uk/16521/.

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The thesis reports on three corpus-based studies in a Saudi university context. The first study is a computer-aided error analysis (CEA) of a corpus of Saudi English majors’ writing. The second and third studies employ the DDL approach to teach collocations and lexical phrases. The errors in the Saudi learner corpus (SLC) were tagged following the Louvain Error Tagging Manual 1.2. The CEA revealed that the ten largest error subcategories were (Form, Spelling), then (Grammar, Verb Tense), (Lexical, Single), (Grammar, Articles), (Grammar, Verb Number), (Grammar, Noun Number), (Word Redundant, Singular), (Word, Missing), (Lexical, Phrase) and finally (Punctuation, Missing). These error types are analysed qualitatively to identify the linguistic features that seem to be problematic for Saudi EFL learners. Multiword units are notoriously difficult for L2 learners, and the Saudi EFL context is no exception; in the second and third studies a number of collocations and lexical phrases were selected from the SLC to be taught using DDL paper-based and dictionary-based materials. The results showed that learners in general learn better under the DDL treatment. Learning gains as a result of the DDL instructional condition in short-term delayed posttests were not significantly better than the dictionary-based instructional condition in the case of collocations, but they were significantly higher for the lexical phrases. The DDL long-term delayed posttests results were significantly better than the dictionary results for both the collocations and lexical phrases. A questionnaire and retrospective interviews were used to investigate students’ and teachers’ attitudes and the results encouragingly revealed that they felt positive about the DDL materials. The data shed light on strengths and weaknesses of the DDL and the traditional approaches. The thesis closes with a discussion of the pedagogical implications, particularly with reference to the use of corpus tools and corpus-based materials in the Saudi EFL context.
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Geraci, Gianluca. "Schemes and Strategies to Propagate and Analyze Uncertainties in Computational Fluid Dynamics Applications." Phd thesis, Université Sciences et Technologies - Bordeaux I, 2013. http://tel.archives-ouvertes.fr/tel-00954413.

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In this manuscript, three main contributions are illustrated concerning the propagation and the analysis of uncertainty for computational fluid dynamics (CFD) applications. First, two novel numerical schemes are proposed : one based on a collocation approach, and the other one based on a finite volume like representation in the stochastic space. In both the approaches, the key element is the introduction of anon-linear multiresolution representation in the stochastic space. The aim is twofold : reducing the dimensionality of the discrete solution and applying a time-dependent refinement/coarsening procedure in the combined physical/stochastic space. Finally, an innovative strategy, based on variance-based analysis, is proposed for handling problems with a moderate large number of uncertainties in the context of the robust design optimization. Aiming to make more robust this novel optimization strategies, the common ANOVA-like approach is also extended to high-order central moments (up to fourth order). The new approach is more robust, with respect to the original variance-based one, since the analysis relies on new sensitivity indexes associated to a more complete statistic description.
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Elmerot, Irene. "Hodný, zlý a ošklivý (The Good, the Bad and the Ugly) : The representation of three minority groups in printed media discourse from the Czech Republic." Thesis, Stockholms universitet, Slaviska språk, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-141840.

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Syftet med detta arbete är att göra en kvantitativ, korpusbaserad undersökning av den språkliga andrafieringen av tre minoritetsgrupper: romer, vietnameser och ukrainare, i den tjeckiska mediadiskursen under 15 år, samt att få ett omfattande, representativt resultat genom att jämföra neutrala, positiva och negativa adjektiv som står intill sökorden. Till teoretisk grund ligger hur språket hjälper till att bygga och förstärka maktstrukturer samt hur korpussökningar efter kollokationer och närliggande ord kan tydliggöra en språklig andrafiering. Här används en kvantitativ metod för att besvara analytiska frågor om dessa benämningar. Materialet som ligger till grund för analysen är SYN version 4 i det tjeckiska Nationalkorpuset – i sin helhet består det av 275 miljoner meningar. Det verkar inte tidigare ha utförts någon sådan undersökning på ett så stort material, även om några forskare har använt liknande metoder. Resultatet bekräftar att de olika grupperna beskrivs på olika sätt, och är, genom det stora källmaterialet, ett bevis på hur språket i mediadiskursen speglar diskursen i samhället i stort.
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Arias, Badia Blanca. "Television dialogue and subtitling: a corpus-driven study of police procedurals." Doctoral thesis, Universitat Pompeu Fabra, 2017. http://hdl.handle.net/10803/404733.

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The specialised literature has suggested the intermediate position of television dialogue and subtitling along the continuum from spoken to written language (e.g. Díaz-Cintas 2003; Quaglio 2009; Forchini 2012). This dissertation adopts a corpus-driven methodology to tackle this issue from a descriptive, contrastive point of view. It reports on results of the analysis of the Corpus of Police Procedurals (CoPP), a corpus containing the transcribed dialogue (EN) and the DVD subtitling (ES) of fifteen episodes of three contemporary police procedurals, namely Dexter (Showtime, 2006), The Mentalist (Warner Bros, 2008), and Castle (ABC, 2009). A selection of syntactic and lexical features typically attributed to either poles of the continuum have been scrutinized from a quantitative and a qualitative approach. The statistical basis of the quantitative study allows identification of patterns of behaviour (i.e. norms) on the dialogue creators’ and the subtitlers’ part. Qualitative lexical analysis adapts the corpus pattern analysis (CPA) methodology proposed by Hanks (esp. 2004, 2013a), to date used for lexicographic purposes only, for the study of lexical exploitation, i.e. creativity, in this type of texts.
La bibliografía especializada ha sugerido la posición del diálogo televisivo y del subtitulado como géneros intermedios en el continuo oralidad-escritura (p. ej. Díaz-Cintas 2003, Quaglio 2009; Forchini 2012). Esta tesis adopta la metodología corpus-driven (‘dirigida por el corpus’) para abordar esta cuestión desde un punto de vista descriptivo y contrastivo, a partir del análisis del Corpus of Police Procedurals (CoPP), un corpus compilado para los propósitos de esta investigación que contiene, alineados, el diálogo (EN) y el subtitulado para DVD (ES) de quince capítulos de tres series de ficción policíaca procesal contemporáneas: Dexter (Showtime, 2006), El mentalista (Warner Bros, 2008) y Castle (ABC, 2009). Una selección de rasgos sintácticos y léxicos prototípicamente atribuidos a ambos polos del continuo han sido examinados tanto cuantitativa como cualitativamente. La base estadística de los análisis cuantitativos llevados a cabo revela patrones de comportamiento (normas) en los creadores del diálogo ficcional y en sus traductores. El análisis cualitativo del léxico adapta la metodología lexicográfica de análisis de patrones de corpus (CPA) propuesta por Hanks (esp. 2004, 2013a) para el estudio de la explotación léxica (creatividad) en este tipo de textos.
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Aljuhani, Hind S. "USING CORPORA IN A LEXICALIZED STYLISTICS APPROACH TO TEACHING ENGLISH-AS-A-FOREIGN-LANGUAGE LITERATURE." CSUSB ScholarWorks, 2016. https://scholarworks.lib.csusb.edu/etd/272.

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As a lingua franca across the globe, English plays a vital role in international communications. Due to rapid economic, political, and educational globalization, the English language has become a powerful means of communication. Therefore, English education is vital to the development of many countries around the world. Since 1932, the need for a lingua franca in Saudi Arabia developed as the country progressed politically, economically, and educationally. Now, English is important to Saudis’ economic, educational, and career development and success. Vocabulary is a major step in learning any language. By deepening students’ lexical knowledge, they will be able to use English accurately to express themselves. However, teaching words in isolation and through memorization is not highly effective; English-as-a-foreign-language (EFL) learners need to interact with the language and its usage in a more profound way. This can be done by integrating corpora and stylistics analysis in an EFL curriculum. The importance of stylistics analysis to literary texts in the EFL classroom lies in the way that EFL learners will be exposed to authentic language. At the same time they will get insight into how English is structured; and by accessing corpora, which provide a wide range of data for the analysis of stylistics, students will be able to compare the lexical and grammatical patterns in authentic texts. Also, it is important to introduce students to the different levels of English (i.e. semantic, lexis, morphology); this will enlarge EFL learners’ knowledge of English vocabulary and various grammatical patterns. This project offers an innovative perspective on how to teach English for EFL university-level students by using corpora in a lexicalized stylistics approach, which will enable EFL learners to acquire vocabulary by reading literary texts. This provides a rich environment of lexical items and a variety of grammatical patterns. This approach offers EFL learners analytical tools that will improve their linguistic skills as they interact with and analyze authentic examples of English and gain insight about its historical, social and cultural background.
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RIPAMONTI, FRANCESCA. "ANALYSING MEDICAL ENGLISH LEXIS: A CORPUS-BASED RESEARCH. IMPLICATIONS FOR LEARNING AND TEACHING." Doctoral thesis, Università degli Studi di Milano, 2015. http://hdl.handle.net/2434/264386.

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Abstract In the last few decades medical specialized communication has become progressively dynamic and prolific with an ever growing number of researchers employing English as a lingua franca. Medical specialized communication unquestionably constitutes a challenging problem with non-native medical students and health care practitioners who are increasingly faced with the need to have an active command of Medical English, that vast set of standardized and non-standardized terms used to describe and represent the changes and the results accomplished in the medical field. My direct involvement in a language trial test aiming at investigating the productive vocabulary knowledge of a group of Italian medical undergraduates was the background that provided the incentive for this dissertation to investigate the language of medicine and devise strategies and materials that were specific enough to help non-native speakers from different medical fields acquire the English language skills they needed step by step. Trying to find the convergence between non-native medical doctors’ vocabulary needs and pedagogy, my research has developed along two lines, purposefully called ‘diagnosis’ and ‘remedy’. Firstly, I endeavoured to ‘diagnose’ which key-words are homogeneously distributed across mainstream professional medical writings opportunely collected in the Medical English Corpus (MedEnCor), a specialized corpus extensively representative of current healthcare domains and biomedical topics. Secondly, I attempted to seek a ‘remedy’ to the non-native learners' lexical ‘impairments’ categorizing all the extracted key-words into semantic wordlists, suitably catalogued into the Medical English Corpus Lexical database (MedEnCor-Lex), a web-based monolingual glossary (www.medencor.com) meant to provide non-native users not only with denotative information on medical key-words, but also with appropriate instances of their collocational and phraseological context and use. Although this writing tool is currently being completed, my goal is equally educational and professional because by compiling a specialized lexical database I do not only mean to make the English used in medicine accessible to the healthcare community, but, first and foremost, to make non-native recipients familiarize themselves with the terms and expressions relevant to the scientific register. An essential skill for their career.
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van, der Woude Ida Nynke. "„Familie“ als Diskursobjekt : Veränderungen im Spiegel des Sprachgebrauchs der Presse seit den 1960er Jahren in Deutschland und Schweden." Doctoral thesis, Linköpings universitet, Institutionen för kultur och kommunikation, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-70118.

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The concept of "family" has undergone major changes over the past 50 years. This thesis examines changes in attitudes and values that can be detected in German and Swedish during this time. In order to investigate these changes in the concept of "family" I have analyzed how the German focus word Familie and the Swedish focus word familj are used in newspaper articles from the 1960s, 1980s and early 2000s. The empirical data consists of German and Swedish newspaper corpora from the three different periods. The theoretical point of departure is a social constructionist perspective, where family is considered to be something constructed and negotiated in language use. The method is corpus linguistic discourse analysis: compound words, collocations and multi-word patterns that include the focus words are analyzed using large text corpora. The study is both about changes in HOW the words familj and Familie are used and WHAT is said about the family in public language use. The thesis shows changes in both Swedish and German language use. I conclude that two different sub-concepts are being constructed and negotiated: the family as a GROUP OF PERSONS and family as a WAY OF LIVING TOGETHER. As regards the family as a group of persons this sub-concept has undergone major changes during the period studied. Differences in Swedish and German language use indicate more and sometimes earlier changes in the Swedish concept of family. The sub-concept of family as a way of living together is more constant. The observed changes can also be seen against a background of Swedish and German conceptual norms of family that do not change to the same extent. New family structures such as nätverksfamiljer (reconstituted families) and regnbågsfamiljer (rainbow families) are partly constructed as deviations from these conceptual norms. The thesis also shows that the sub-concept of family as a group of persons has become even more complex, especially in Swedish language use and particularly in so-called bio boxes, where pets are mentioned as family members and couples without children label themselves as familj.
Begreppet ”familj” har genomgått stora förändringar de senaste 50 åren. I den här avhandlingen studeras vilka förändringar i synsätt och värderingar som kan upptäckas i det tyska och det svenska språkbruket under denna tid. För att undersöka dessa förändringar i begreppet ”familj” analyseras hur det tyska fokusordet Familie och det svenska fokusordet familj används i tidningstext från 1960-talet, 1980-talet och början av 2000-talet. Det empiriska materialet består av tyska och svenska tidningskorpusar från de tre olika perioderna. Den teoretiska utgångspunkten är ett socialkonstruktivistiskt perspektiv, där familj betraktas som någonting som konstrueras och förhandlas i språkanvändning. Metoden är korpuslingvistisk diskursanalys: med hjälp av stora textkorpusar analyseras sammansatta ord, kollokationer och flerordsmönster där fokusorden ingår. Det handlar här både om förändringar i HUR orden familj och Familie används och i VAD som sägs om familj i offentligt språkbruk. Avhandlingen visar på förändringar i både den svenska och den tyska språkanvändningen. Jag kommer fram till att två olika delbegrepp konstrueras och förhandlas: familj som PERSONGRUPP och familj som SAMLEVNADSFORM. När det gäller familj som persongrupp genomgår det delbegreppet stora förändringar under den studerade tidsperioden. Förändringarna visar sig vara större och ibland tidigare i det svenska materialet än i det tyska materialet. Delbegreppet familj som samlevnadsform är mer konstant. De förändringar som kan observeras sker också mot en bakgrund av svenska och tyska normbilder av familj, som inte förändras i samma grad. Nya familjebildningar som nätverksfamiljer och regnbågsfamiljer konstrueras delvis som avvikelser från dessa normbilder. Avhandlingen visar också att delbegreppet familj som persongrupp blir allt mer mångfacetterat, särskilt i svenskt språkbruk och i synnerhet i s.k. faktarutor, där även husdjur nämns som familjemedlemmar och par utan barn får etiketten familj.
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35

Sendrowski, Janek. "Feigenbaum Scaling." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-96635.

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In this thesis I hope to provide a clear and concise introduction to Feigenbaum scaling accessible to undergraduate students. This is accompanied by a description of how to obtain numerical results by various means. A more intricate approach drawing from renormalization theory as well as a short consideration of some of the topological properties will also be presented. I was furthermore trying to put great emphasis on diagrams throughout the text to make the contents more comprehensible and intuitive.
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36

Fehrmann, Ingo. "Kausative Konstruktionen mit dem Verb "machen" im Deutschen." Doctoral thesis, Humboldt-Universität zu Berlin, 2018. http://dx.doi.org/10.18452/19403.

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Untersuchungsgegenstand der Dissertation sind sprachliche Strukturen, die aus einer Form des Verbs „machen“ und einer objektsprädikativen Adjektivphrase bestehen. Die Arbeit ist eingebettet in einen konstruktionsgrammatischen Rahmen, nach dem Sprache sich als strukturiertes Inventar von Konstruktionen (Form-Funktions-Beziehungen) beschreiben lässt. Ziele der Arbeit sind a) die korpusbasierte Ermittlung lexikalischer Kollokationen und Gebrauchstendenzen innerhalb der Zielstruktur sowie b) die systematische Beschreibung der damit verbundenen Form-Funktions-Beziehungen. Als Arbeitshypothese wurde übereinstimmend mit bisherigen Arbeiten zum selben sprachlichen Gegenstand eine kausative Bedeutung, also die Kodierung einer Ursache-Wirkung-Relation, angenommen. Da konstruktionsgrammatischen Ansätzen zufolge formale Unterschiede mit Unterschieden auf der Ebene der Funktion korrespondieren sollten, wurde empirisch untersucht, in welchen Fällen formale Unterschiede innerhalb der Zielstruktur tatsächlich systematisch zu unterschiedlichen funktionalen Interpretationen führen. Lexikalische Kollokationen innerhalb der Zielstruktur wurden statistisch anhand von Kollostruktionsanalysen („Covarying Collexeme Analysis“; vgl. Gries/Stefanowitsch, 2004) ermittelt. Zur Beschreibung der Bedeutung oder Funktion dienten Frame-semantische Beschreibungen englischer Verben aus dem FrameNet (vgl. Fillmore/Baker, 2010). Eine wesentliche Beobachtung besteht nun darin, dass entgegen der ursprünglichen Annahme keineswegs alle Vorkommen von „machen“ mit einer objektsprädikativen Adjektivphrase eine Ursache-Wirkung-Relation kodieren. Gerade die in der Kombination mit „machen“ hochfrequenten Adjektive korrelieren signifikant mit abweichenden, nicht im engeren Sinne kausativen, Interpretationen im Sinne der jeweils evozierten semantischen Frames.
This dissertation focuses on combinations of a form of the German verb “machen” with an adjective phrase which, according to a working hypothesis, is said to have a resultative reading. The work is grounded in a Construction Grammar approach, viewing language as a structured inventory of Constructions, i.e. form-function mappings. The aims are a) establishing lexical collocations and usage tendencies within these structures involving “machen” and a resultative adjective phrase, based on corpus studies, and b) describing systematically the relevant form-function mappings. As Construction Grammar approaches predict changes in function corresponding to changes in form, the formal collocations established according to aim a) are systematically analyzed with respect to their respective functional interpretations. The methods used involve a series of „Covarying Collexeme Analyses“ (cf. Gries/Stefanowitsch, 2004) to study lexical collocations within the given formal structure, and the application of frame semantic descriptions of English verbs, as found in FrameNet (cf. Fillmore/Baker, 2010), to the German structures found in the corpora. The results indicate that, contrary to the working hypothesis, a great number of “machen” plus adjective tokens does not lead to a causative or resultative interpretation. Especially the most frequent adjectives combined with “machen” exhibit a significant correlation with structures evoking different, not strictly causative, semantic frames.
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37

Meyer, Dennis Scott. "A Comparative Analysis of Text Usage and Composition in Goscinny's Le petit Nicolas, Goscinny's Astérix, and Albert Uderzo's Astérix." BYU ScholarsArchive, 2012. https://scholarsarchive.byu.edu/etd/2976.

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The goal of this thesis is to analyze the textual composition of René Goscinny’s Astérix and Le petit Nicolas, demonstrating how they differ and why. Taking a statistical look at the comparative qualities of each series of works, the structural differences and similarities in language use in these two series and their respective media are highlighted and compared. Though one might expect more complicated language use in traditional text by virtue of its format, analysis of average word length, average sentence length, lexical diversity, the prevalence of specific forms (the passé composé, possessive pronouns, etc.), and preferred collocations (ils sont fous, ces romains !) shows interesting results. Though Le petit Nicolas has longer sentences and more relative pronouns (and hence more clauses per sentence on average), Astérix has longer words and more lexical diversity. A similar comparison of the albums of Astérix written by Goscinny to those of Uderzo, paying additional attention to the structural elements of each album (usage of narration and sound effects, for example) shows that Goscinny's love of reusing phrases is far greater than Uderzo's, and that the two have very different ideas of timing as expressed in narration boxes.
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38

Vikström, Niclas. "Tudor and Stuart England and the Significance of Adjectives : A Corpus Analysis of Adjectival Modification, Gender Perspectives and Mutual Information Regarding Titles of Social Rank Used in Tudor and Stuart England." Thesis, Stockholms universitet, Engelska institutionen, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-118027.

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The aim of the present study has been to investigate how titles of social rank used in Tudor and Stuart England are modified by attributive adjectives in pre-adjacent position and the implications that become possible to observe. Using the Corpus of Early English Correspondence Sampler (CEECS) the present work set out to examine adjectival modification, gender perspectives and MI (Mutual Information) scores in order to gain a deeper understanding of how and why titles were modified in certain ways. The titles under scrutiny are Lord, Lady, Sir, Dame, Madam, Master and Mistress and these have been analysed following theories and frameworks pertaining to the scientific discipline of sociohistorical linguistics.    The findings of the present study suggest that male titles were modified more frequently than, and differently from, female titles. The adjectives used as pre-modifiers, in turn, stem from different semantic domains which reveals differences in attitudes from the language producers towards the referents and in what traits are described regarding the holders of the titles. Additionally, a type/token ratio investigation reveals that the language producers were keener on using a more varied vocabulary when modifying female titles and less so when modifying male titles. The male terms proved to be used more formulaically than the female terms, as well. Lastly, an analysis of MI scores concludes that the most frequent collocations are not necessarily the most relevant ones.    A discussion regarding similarities and differences to other studies is carried out, as well, which, further, is accompanied by suggestions for future research.
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39

Hung, Chan-Wei, and 洪承緯. "Reproducing Kernel Collocation Method for Nonlinear Iterative Analysis." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/jdj244.

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碩士
國立交通大學
土木工程系所
103
In the nonlinear related research of the strong form collocation methods, this is the first work using the reproducing kernel collocation method (RKCM) to solve the semilinear elliptic partial differential equations. As for the iteration schemes, we adopt both the quasi-Newton iteration method and Newton iteration method to solve three examples with the following types of solutions: a trigonometric function, an exponential function, and a trigonometric function combined with a polynomial. Based on our numerical results, the two iteration methods show similar convergence behavior. The Newton iteration method converges faster and is more stable than the quasi-Newton iteration method. But the quasi-Newton iteration method requires less CPU time in each iterative step. Therefore, as the number of collocation points increases, the quasi-Newton iteration method will save more time.
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40

Huang, Yi-Jui, and 黃奕叡. "Buckling Analysis of Nanotubeby Using Spline Collocation Method." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/12376161915704379046.

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碩士
國立臺灣大學
土木工程學研究所
99
In this article, I use spline function inferred from Forward Difference Method as a starting point, and it is coordinated with collocation to develop a numerical analyses method, called SCM(Spline Collocation Method).Then, using any order spline function solved early and make a complete B spline value table by calculating repeatedly and it will also be advantageous to our use. In the same time, using MSCM(Modified Spline Collocation Method) inferred from SCM to solve some eigenvalue problems about buckling of nanotube and analysis its every model buckling load and convergence. make a study of the accuracy and astringency by comparing the numerical analyses solutions with exact solutions. And consider a nanotube under axis load and transvers load to solve displacement of middle point, rotation of end point, shear of middle point and draft a deformation diagram and internal force diagram , substitute different boundary condition to solve the numerical analyses solutions. The purpose of this article is used for proving that the advantages of SCM is excellent and it is a numerical analyses method which has accuracy ,convenience and applications. Therefore, SCM is worthy to research in structural analyses in depth.
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41

Chen, Sheng–Yuan, and 陳昇元. "Analysis of Plates Using SCM with a New Collocation Method." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/28812978619219574434.

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42

Xu, Han-Fu, and 許涵富. "The Analysis of The Immobilization of Enzyme by Orthogonal Collocation Method." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/64442992241225125579.

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碩士
國立成功大學
化學工程學系
84
A restricted-diffusion model of immobilized enzyme in porous support has beenestablished in this work. The model is solved by orthogonal method and Runge-Kutta method.The distribution of immobilized enzyme in the pores,and the para-meter of the immobilization process have been investigated by using this model. Our conception is to use glutaraldehyde as the crosslinking agent between supports and urease,and make their binding stable.The exxperiments were operated at 25℃,and used 0.1M phosphate solution buffered at pH6.5.The ureaseconcentration was measured by UV-VIS spectrophotometer. A510 and A400 resins were used as the supports of urease. Because of the differences in resin pore diameter,the amount of adsorbed urease and the effective urea hydrolysis rate were different. Our experiment shows that the amount of urease adsorbed were29.3mg/ml and 12.6mg/ml for A510 and A400 respectively.The amount of urease adsorbed per mililiter of A510 resin is about 2.3 times that of A400 resin.The best activities of these immobilized urease occur at pH6.5 and the rate ofurea hydrolysis is about 31.4 and 20.3 μmol NH3/min mg urease for A510 resinand A400 resin respectively. The parameters in restricted-diffusion model were obtained by curve fitting the experimental data. The system parameter for using A510 resin as support are N=0.018,ψ=0.0059,α=0.0022,φ=60,and kim=1.3e-1 1/sec g ,while system parameter that use A400 resin as support are N=0.036,ψ=0.0065,α=0.292,φ=60and kim=1.8e-3 1/sec g . In accordance with the effect of the whole immobilized process and the hydrolysis rate,we conclude that A510 resin is a better support for enzyme immobilization than A400 resin.
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43

Lin, Chih-Hsun, and 林志勳. "Analysis of Laminated Anisotropic plates and Shells by Chebyshev Collocation Method." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/63943709453361872067.

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博士
國立中山大學
機械與機電工程學系研究所
91
The purpose of this work is to solve governing differential equations of laminated anisotropic plates and shells by using the Chebyshev collocation method. This method yields these results those can not be accomplished easily by both Navier’s and Levy’s methods in the case of any kind of stacking sequence in composite laminates with the variety of boundary conditions subjected to any type of loading. The Chebyshev polynomials have the characteristics of orthogonality and fast convergence. They and Gauss-Lobatto collocation points can be utilized to approximate the solution of these problems in this paper. Meanwhile, these results obtained by the method are presented as some mathematical functions that they are more applicable than some sets of data obtained by other methods. On the other hand, by simply mathematical transformation, it is easy to modify the range of Chebyshev polynomials from the interval [-1,1] into any intervals. In general, the research on laminated anisotropic plates is almost focused on the case of rectangular plate. It is difficult to handle the laminated anisotropic plate problems with the non-rectangular borders by traditional methods. However, through the merits of Chebyshev polynomials, such problems can be overcome as stated in this paper. Finally, some cases in the chapter of examples are illustrated to highlight the displacements, stress resultants and moment resultants of our proposed work. The preciseness is also found in comparison with numerical results by using finite element method incorporated with the software of NASTRAN.
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44

Tu, Kuo-Hao, and 杜國豪. "Analysis of Deflection of Nonlocal Nanobeam by Using Spline Collocation Method." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/00681377900171443619.

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碩士
國立臺灣大學
土木工程學研究所
99
SCM(Spline Collocation Method) is a numerical analysis method originating from Spline function which is derived from Forward Difference, and also joining the idea of knot-collocating together. By means of developing B Spline Value Table from differential Spline function in various orders, the calculating process can be simplified greatly by simply looking up to the table. Furthermore, it can be used in computer programming in a systematic way. Therefore it becomes much more rapid and convenient when analyzing by using SCM. The purpose of this thesis is to apply MSCM(Modified Spline Collocation Method) which is extended from SCM (Spline Collocation Method) to solve the compatibility of the nonlocal nanobeam, analysis of maximum deflection value and the difference between nonlocal nanobeam and Timoshenko beam . Also, Into a variety of different combinations of boundary conditions, all kinds of loading and Winkler elastic foundation, and take the increase in the number of nodes. We can see the convenience of the solution process. And can not be limited to any form of loading or boundary conditions, only need the structure of the control equation, that is able to obtain satisfactory approximate solution .At last, results from each example analyzed by SCM will be utilized to compare with theoretical solution . Thus it can be verified that the error conducted by SCM is within the standard range of engineering field. It is demonstrated that SCM has its superiority as being one kind of accurate, fast, convenient and applicable numerical method; hence it is indeed worth doing further research.
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45

Lin, Ching-Yi, and 林靜怡. "An Analysis of Collocation Instruction Which Integrates The Corpora And The Junior High School English Textbooks-The Case of Verb-Noun Collocation." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/86jz55.

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碩士
銘傳大學
教育研究所碩士在職專班
96
The main focus of this study is to analyze and compare the quantities of collocations in junior high school English textbooks (Joy English C) and those in the corpora (BBI Dictionary of English Word Combinations, Oxford Collocations Dictionary for Students of English, and website “Exploring Vocabulary: Collocation” of IWiLL). It is hoped that the results of this study will show whether the quantities of collocations in the English textbooks in junior high school can promote the English abilities of junior high school students. The main issues investigated in the study include 1) the verbs which occur most in the collocations, 2) the distributions of collocations in each volume and teaching section, 3) the collocations common to both samples, and 4) the collocations that only appear in the corpora. The statistical results are presented in terms of percentages and the main findings of this study may be summarized as follows: 1.The fifth volume of Joy English C has the most collocations of all the textbooks. 2.The quantity of collocations in the corpora is much greater than that of the textbooks. 3.Dialogue and Reading are the teaching sections which have the most collocations; collocations related to the topic of lessons may also be presented in other units. 4.The light verbs “take” and “make” are the verbs most common to both samples. However, compared with the corpora, the quantities of collocations in the textbooks are much fewer. 5.The collocations which are only presented in the corpora still have high frequency in daily life usage, which implies vocabulary teaching in the textbooks still needs much improvement. Findings of this study have several pedagogical implications. 1.To enhance students’ ability to use vocabulary, English teachers should increase the teaching of collocations based on the topic of each lesson. 2.Textbook editors should thoroughly and carefully consider collocations in textbooks and teacher’s guides based on topics of lessons. This would give teachers and students a better understanding of the usage of the Word List of the 2000 Basic Words. 3.Research organizations and publishers would be well serverd to create a collocation corpora for junior high school students to promote their English abilities.
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46

Shen, Chiao-Ting, and 沈巧婷. "Stability Analysis of Air-Water Coupled Shear Flow Using Chebyshev Collocation Method." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/x59y38.

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碩士
國立臺灣大學
工程科學及海洋工程學研究所
107
This study describes the generation and initial growth of unstable water waves by an air shear flow. A numerical method is used to solve the air-water coupled Orr-Sommerfeld equations and the interfacial boundary conditions is satisfied. The method is based on the expansion of the eigenfunctions in terms of Chebyshev polynomials, point collocation, and the subsequent solution of the resulting generalized eigenvalue problem with the QZ-algorithm. The calculation range can be extended to longer wavelengths (up to 20 cm) and stronger winds (friction velocity up to 100 cm/s), and double unstable modes are produced as wind velocity increases. The results show that this numerical method is easy to apply and has high accuracy and convergence.
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47

Chou, Chun-Wei, and 周君蔚. "Analysis of Lateral Torsional Buckling of Elastic Beams by Using Spline Collocation Method." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/04198937523707792465.

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碩士
國立臺灣大學
土木工程學研究所
98
In this article,I use spline function inferred from Forward Difference Method as a starting point, and it is coordinated with collocation to develop a numerical analyses method,called SCM(Spline Collocation Method).Then,I use any order spline function solved early,and make a complete B spline value table by calculating repeatedly,and it will also be advantageous to our use. In the same time,I use MSCM(Modified Spline Collocation Method) inferred from SCM to solve some eigenvalue problems about lateral torsional buckling of elastic beams,and analysis its every model buckling load and convergence, displacement of middle point and convergence,double direction buckling shapes,and one direction deflection curve.And then,I use different primary stiffiness ratio to solve the numerical analyses solutions,and make a study of the accuracy and astringency by comparing the numerical analyses solutions with exact solutions. The purpose of this article is used for proving that the advantages of SCM is exellent,and it is a numerical analyses method which has accuracy ,convenience,and applications.Therefore,SCM is worthy to reserch in structral analyses in depth.
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48

Dai, Yi-Deng, and 戴薏燈. "Application of Spline Collocation Method in Analysis of Beam-Column on Elastic Foundation." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/83617546670132537488.

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49

Liu, Chih-Wei, and 劉致瑋. "Application of Spline Collocation Element Method in Analysis of Tapered Elastic Beam-Column." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/39358737982623536817.

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碩士
國立臺灣大學
土木工程學研究所
92
In general, the governing differential equation problem of an initial straight elastic beam-column subjected to an axial force and a lateral load with uniform cross-section has certain rule to be solved easily. Sometimes we must analyze all kinds of questions of tapered elastic beam-column structure in order to consider some reasons, and the questions have been complicated problems of solving ordinary differential equations with various coefficients. Therefore they are not easy to find analytic solutions. In this paper, analyses of tapered elastic beam-column assumed by establishing models are conducted using the modified spline collocation method and spline collocation element method (SCM&SCEM). SCM and SCEM can be applied to tapered elastic beam-column by direct use of governing equation, and it is more convenient that the coefficient matrix for the weighting coefficients can be assembled simply by finding from the table for the values of quintic spline function at knots without process of complicated calculation. In addition, the reasonable results of the tapered elastic beam-column undergoing various types of loadings and boundary conditions can be obtained just needing the governing equation, and it is more economical and time-saving for writing computer programs which use less arithmetic operators. By comparing with other accurate numerical solutions at last, it is shown that the analyses of the tapered elastic beam-column problems by the SCM and SCEM are stable and convergent, and the excellent accuracy in results is achieved. Besides, the ease of using this method has been clearly shown.
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50

Huang, Chia-Chien, and 黃家健. "A Full-Vectorial Multidomain Spectral Collocation Method for Modal Analysis of Optical Waveguides." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/23362687003555126385.

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博士
國立臺灣大學
應用力學研究所
91
Abstract An accurate and efficient solution method using full-vertorial multidomain spectral collocation method is proposed for computing optical waveguides with discontinuous refractive index profiles. The method is formulated in terms of the transverse magnetic fields. The use of domain decomposition divides the usual single domain into a few subdomains at the interfaces of discontinuous refractive index profiles. Each subdomain can be expanded by a suitable set of orthogonal basis functions and patched at these interfaces by matching the physical boundary conditions. In addition, a new technique which incorporating the effective index method and the Wentzel-Kramers-Brillouin method for the a priori determination of the scaling factor in Hermite-Gauss or Laguerre-Gauss basis functions is introduced to considerably save the computational time without experimenting with it. The present method shares the same desirable property of spectral collocation method that can provide fast and accurate solution but avoids the oscillatory solutions and improves the poor convergence problem of simple spectral collocation method with single domain where regions of discontinuous refractive index profiles exist. Computations of several 2-D and 3-D waveguide structures, such as three-layer, planar diffused, metal-clad, planar directional coupler, diffused channel, rectangular dielectric, and semiconductor rib waveguides have been carried out to test the accuracy and efficiency of the present method. Detailed comparisons of the present results with exact solutions or previously published data based on other methods are included and all the results are found to be in excellent agreement.
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