本研究旨在探討台灣高中生副詞子句的使用，並且探究台灣高中生在副詞子句使用上所產生的錯誤。此外，為更進一步了解台灣高中生對於副詞子句的認知，本研究亦檢視了目前國內高中生普遍所使用的英語教科書，以了解英語副詞子句的呈現方式以及內容的編排。本研究受試者為兩班高二學生，一共43位。研究工具為學生高二上學期三篇指定英文作文寫作。 研究結果顯示，副詞子句為一高中生作文中常出現之句型結構。受試者能夠使用不同語意種類的副詞子句來補充說明主要子句的訊息。在各式不同種類副詞子句當中，時間副詞子句出現頻率最高。限定副詞子句(finite adverbial clauses)使用的頻率遠多於非限定副詞子句(non-finite adverbial clauses)。限定副詞子句使用當中，時間副詞子句、因果副詞子句、條件副詞子句、目的副詞子句以及讓步副詞子句，依序為最常使用的副詞子句；非限定副詞子句使用當中，目的副詞子句以及時間副詞子句為使用頻率最高的副詞子句。 雖然副詞子句是基本句型，但經錯誤分析的結果顯示，學生對於副詞子句沒有完整的了解，仍有不正確的使用。整體而言，句子不完整( sentence fragment)以及使用錯誤（不恰當）副詞連接詞使用(illogical subordinate conjunction)為最常發生的錯誤。在限定副詞子句使用上，最常犯的錯誤為不完整句子、錯誤或不恰當的副詞連接詞使用、重複連接詞標記(double marking)以及無主語(null subject)。在非限定副詞子句使用上，不連結修飾語(dangling modifier)為最常出現之錯誤。這些錯誤很可能是因為中文以及英文之間的差異以及對副詞子句沒有充分的理解所導致。 而教科書當中對副詞子句的介紹，也可以解釋學生學習使用副詞子句所犯的錯誤及遭遇的問題。從檢視教科書以及教師手冊當中的句型以及寫作兩個單元發現，在句型呈現上，副詞子句的介紹以及呈現主要著重在單句句型結構以及語意相近的句型結構替換。副詞子句的篇章功能以及副詞連接詞的使用則較被忽略。句型練習中，也較少有情境式的真實語言呈現。在寫作單元上，副詞子句也多半侷限於其句型結構上，而忽略了其詳細語用以及篇章功能概念。綜合研究結果，本研究提出較完善的教學建議，以幫助教學工作者以及學習者對副詞子句在教學上及學習上有更進一步的了解。 / The purpose of the present study is to investigate how adverbial clauses are used in Taiwanese senior high school students’ written production and what kinds of difficulties students encounter in employing the structure. In addition, to understand how Taiwanese EFL learners construct their knowledge of adverbial clauses, senior high school students’ English textbooks and teachers’ manuals are also examined to find out the presentation of adverbial clauses. Forty-three senior high school students from two different classes in their second year participated in the research. Three assigned compositions in one semester were collected for data analysis. The result showed that adverbial clauses are commonly utilized to express various types of circumstantial meanings in the learners’ writing. Temporal adverbial clauses are of the most use among different kinds of adverbial clauses. Adverbial clauses are further categorized into two types: finite and non-finite adverbial clauses. The use of finite adverbial clauses is far more frequent than the use of non-finite adverbial clauses. This may attribute to the amount of exposure to the finite adverbial clauses and syntactic complexities of non-finite clauses. In finite clauses, temporal adverbial clauses are the most frequently used, followed by causal, conditional, purpose and concessive adverbial clauses respectively. In non-finite adverbial clauses, adverbial clauses of purpose are the most used, then clauses of time. To identify Taiwanese senior high school students’ difficulties in using adverbial clauses, an error analysis was conducted. It was found that adverbial clauses are problematic to the learners. Overall, sentence fragment and illogical subordinate conjunction are the two main error types. Most of the errors occur in finite clauses, including sentence fragment, illogical subordinate conjunction, double marking and null subject. In non-finite clauses, error type is exclusively dangling modifier. The reasons for the errors may be due to learners’ incomprehensive understanding toward the use of adverbial clauses and the differences between Chinese and English. In addition, learners’ textbooks were evaluated to see how adverbial clauses were generally introduced and presented. An examination of grammar (sentence patterns) and writing sections revealed that in grammar section, the emphasis is mainly on the introduction of various linguistic forms of adverbial clauses and syntactic structures that bear similar semantic meanings. Moreover, they are presented mostly in isolation without meaningful and contextual presentations. The functional aspect of adverbial clauses and the contextual presentation of subordinate conjunctions are quite neglected. Likewise, in writing section, the focus is mostly limited to the introduction of various types of adverbial clauses and subordinate conjunctions. Clearer explanations of the conjunctions and the functional role of adverbial clauses in writing are relatively overlooked. Concluding from the previous findings, it is suggested that more explicit and contextual presentations are needed to help learners to develop a more complete understanding of the use of adverbial clauses.

<p>In computational science it is common to describe dynamic systems by mathematical models in forms of differential or integral equations. These models may contain parameters that have to be computed for the model to be complete. For the special type of ordinary differential equations studied in this thesis, the resulting parameter estimation problem is a separable nonlinear least squares problem with equality constraints. This problem can be solved by iteration, but due to complicated computations of derivatives and the existence of several local minima, so called short-cut methods may be an alternative. These methods are based on simplified versions of the original problem. An algorithm, called the modified Kaufman algorithm, is proposed and it takes the separability into account. Moreover, different kinds of discretizations and formulations of the optimization problem are discussed as well as the effect of ill-conditioning.</p><p>Computation of parameters often includes as a part solution of linear system of equations <i>Ax = b</i>. The corresponding pseudoinverse solution depends on the properties of the matrix <i>A</i> and vector <i>b</i>. The singular value decomposition of <i>A</i> can then be used to construct error propagation matrices and by use of these it is possible to investigate how changes in the input data affect the solution <i>x</i>. Theoretical error bounds based on condition numbers indicate the worst case but the use of experimental error analysis makes it possible to also have information about the effect of a more limited amount of perturbations and in that sense be more realistic. It is shown how the effect of perturbations can be analyzed by a semi-experimental analysis. The analysis combines the theory of the error propagation matrices with an experimental error analysis based on randomly generated perturbations that takes the structure of <i>A</i> into account</p>

In computational science it is common to describe dynamic systems by mathematical models in forms of differential or integral equations. These models may contain parameters that have to be computed for the model to be complete. For the special type of ordinary differential equations studied in this thesis, the resulting parameter estimation problem is a separable nonlinear least squares problem with equality constraints. This problem can be solved by iteration, but due to complicated computations of derivatives and the existence of several local minima, so called short-cut methods may be an alternative. These methods are based on simplified versions of the original problem. An algorithm, called the modified Kaufman algorithm, is proposed and it takes the separability into account. Moreover, different kinds of discretizations and formulations of the optimization problem are discussed as well as the effect of ill-conditioning. Computation of parameters often includes as a part solution of linear system of equations Ax = b. The corresponding pseudoinverse solution depends on the properties of the matrix A and vector b. The singular value decomposition of A can then be used to construct error propagation matrices and by use of these it is possible to investigate how changes in the input data affect the solution x. Theoretical error bounds based on condition numbers indicate the worst case but the use of experimental error analysis makes it possible to also have information about the effect of a more limited amount of perturbations and in that sense be more realistic. It is shown how the effect of perturbations can be analyzed by a semi-experimental analysis. The analysis combines the theory of the error propagation matrices with an experimental error analysis based on randomly generated perturbations that takes the structure of A into account

Wireless sensor networks (WSN) are event based systems that rely on the collective effort of densely deployed sensor nodes continuously observing a physical phenomenon. The spatio-temporal correlation between the sensor observations and the cross-layer design advantages are significant and unique to the design of WSN. Due to the high density in the network topology, sensor observations are highly correlated in the space domain. Furthermore, the nature of the energy-radiating physical phenomenon constitutes the temporal correlation between each consecutive observation of a sensor node. This unique characteristic of WSN can be exploited through a cross-layer design of communication functionalities to improve energy efficiency of the network. In this thesis, several key elements are investigated to capture and exploit the correlation in the WSN for the realization of advanced efficient communication protocols. A theoretical framework is developed to capture the spatial and temporal correlations in WSN and to enable the development of efficient communication protocols. Based on this framework, spatial Correlation-based Collaborative Medium Access Control (CC-MAC) protocol is described, which exploits the spatial correlation in the WSN in order to achieve efficient medium access. Furthermore, the cross-layer module (XLM), which melts common protocol layer functionalities into a cross-layer module for resource-constrained sensor nodes, is developed. The cross-layer analysis of error control in WSN is then presented to enable a comprehensive comparison of error control schemes for WSN. Finally, the cross-layer packet size optimization framework is described.

published_or_final_version / Language Studies / Master / Master of Arts

Multisymplectic integrators like Preissman and six-point schemes and a semi-explicit symplectic method are applied to the coupled nonlinear Schr&ouml / dinger equations (CNLSE). Energy, momentum and additional conserved quantities are preserved by the multisymplectic integrators, which are shown using modified equations. The multisymplectic schemes are backward stable and non-dissipative. A semi-explicit method which is symplectic in the space variable and based on linear-nonlinear, even-odd splitting in time is derived. These methods are applied to the CNLSE with plane wave and soliton solutions for various combinations of the parameters of the equation. The numerical results confirm the excellent long time behavior of the conserved quantities and preservation of the shape of the soliton solutions in space and time.

Notre recherche a pour objectif d’interpréter les erreurs de productions écrites chez les apprenants militaires coréens lors de leur apprentissage du français. Actuellement, au sein de d’École Militaire Académique en Corée du Sud, l’enseignement de la grammaire française occupe encore la place la plus importante, même si une certaine approche communicative dans la didactique des langues étrangères commence à faire sont apparition. Dans l’approche communicative, deux compétences (orale et écrite) sont prioritaires lors de l’enseignement / apprentissage des langues étrangères. Mais du fait de certaines difficultés liées à la distance entre la France et la Corée du Sud et à l’organisation actuelle de l’enseignement à l’École Militaire Académique, notre recherche n’a pu porter que sur l’analyse des erreurs à l’écrit ainsi qu’à leur remédiation.Notre travail s’articule en trois parties. La première repose sur la présentation de la situation atuelle de l’enseignement / apprentissage du français à l’École Militaire Académique de l’Armée de Terre. Une enquête menée auprès des élèves officiers nous permet d’aborder leur motivation et leur attitude face à l’apprentissage du français et d’observer comment leur est actuellement enseignée le français dans cette école. La deuxième partie est consacrée à la théorie et à la méthodologie fondée sur les recherches de la langue de l’apprenant. Nous nous proposons de retracer l’itinéraire des recherches comparatives en commençant par l’analyse contrastive jusqu’à l’étude de l’interlangue. La troisième partie porte sur l’analyse des données de façon détaillée pour élucider les difficultés linguistiques intraphrastiques et textuelles rencontrées dans la production écrite par les apprenants militaires coréens en situation d’apprentissage du français au niveau intermédiaire.Cette analyse nous permet de mieux comprendre le processus d’apprentissage du français chez les apprenants militaires et de réfléchir aux améliorations qu’il convienrait d’apporter à l’enseignement du français dans l’École Militaire Académique. / The objective of our research is to interpret the types of errors made in written documents by Korean junior officers studying French. In the South Korean Military Academy for the Army French grammar is the most important part of the syllabus, though now more importance is given to communicative aspects of language training than previously. In communication the two competences (written and spoken) are both priorities in foreign language training. The organization of language training in the South Korean Military Academy for the Army and the distance between France and South Korea means our research has concentrated on the analysis of errors in written communication and ways to improve these.This work is in three parts. The first examines the current situation with language teaching at the South Korean Military Academy for the Army. This allowed us to follow the motivation and attitude of students learning French and to find out how it is taught in this school. The second part concentrates on the theory and methodology based on language research for learners of the language, using comparative research and starting with comparative analysis of the study between languages. The third part analyses in detail the linguistic difficulties in written French (both text and structure) encountered by intermediate level students at the South Korean Military Academy for the Army.This detailed analysis allows us to better understand the learning process for French language by these students at the South Korean Military Academy for the Army and to propose areas for improvement in the teaching of French.

L’arithmétique virgule flottante est une approximation de l’arithmétique réelle dans laquelle chaque opération peut introduire une erreur. La norme IEEE 754 requiert que les opérations élémentaires soient aussi précises que possible, mais au cours d’un calcul, les erreurs d’arrondi s’accumulent et peuvent conduire à des résultats totalement faussés. Cela arrive avec une expression aussi simple que ab + cd, pour laquelle l’algorithme naïf retourne parfois un résultat aberrant, avec une erreur relative largement supérieure à 1. Il est donc important d’analyser les algorithmes utilisés pour contrôler l’erreur commise. Je m’intéresse à l’analyse de briques élémentaires du calcul en cherchant des bornes fines sur l’erreur relative. Pour des algorithmes suffisamment précis, en arithmétique de base β et de précision p, on arrive en général à prouver une borne sur l'erreur de la forme α·u + o(u²) où α > 0 et u = 1/2·β1-p est l'unité d'arrondi. Comme indication de la finesse d'une telle borne, on peut fournir des exemples numériques pour les précisions standards qui approchent cette borne, ou bien un exemple paramétré par la précision qui génère une erreur de la forme α·u + o(u²), prouvant ainsi l'optimalité asymptotique de la borne. J’ai travaillé sur la formalisation d’une arithmétique à virgule flottante symbolique, sur des nombres paramétrés par la précision, et à son implantation dans le logiciel de calcul formel Maple. J’ai aussi obtenu une borne d'erreur très fine pour un algorithme d’inversion complexe en arithmétique flottante. Ce résultat suggère le calcul d'une division décrit par la formule x/y = (1/y)·x, par opposition à x/y = (x·y)/|y|². Quel que soit l'algorithme utilisé pour effectuer la multiplication, nous avons une borne d'erreur plus petite pour les algorithmes décrits par la première formule. Ces travaux sont réalisés avec mes directeurs de thèse, en collaboration avec Claude-Pierre Jeannerod (CR Inria dans AriC, au LIP). / Floating-point arithmetic is an approximation of real arithmetic in which each operation may introduce a rounding error. The IEEE 754 standard requires elementary operations to be as accurate as possible. However, through a computation, rounding errors may accumulate and lead to totally wrong results. It happens for example with an expression as simple as ab + cd for which the naive algorithm sometimes returns a result with a relative error larger than 1. Thus, it is important to analyze algorithms in floating-point arithmetic to understand as thoroughly as possible the generated error. In this thesis, we are interested in the analysis of small building blocks of numerical computing, for which we look for sharp error bounds on the relative error. For this kind of building blocks, in base and precision p, we often successfully prove error bounds of the form α·u + o(u²) where α > 0 and u = 1/2·β1-p is the unit roundoff. To characterize the sharpness of such a bound, one can provide numerical examples for the standard precisions that are close to the bound, or examples that are parametrized by the precision and generate an error of the same form α·u + o(u²), thus proving the asymptotic optimality of the bound. However, the paper and pencil checking of such parametrized examples is a tedious and error-prone task. We worked on the formalization of a symbolicfloating-point arithmetic, over numbers that are parametrized by the precision, and implemented it as a library in the Maple computer algebra system. We also worked on the error analysis of the basic operations for complex numbers in floating-point arithmetic. We proved a very sharp error bound for an algorithm for the inversion of a complex number in floating-point arithmetic. This result suggests that the computation of a complex division according to x/y = (1/y)·x may be preferred, instead of the more classical formula x/y = (x·y)/|y|². Indeed, for any complex multiplication algorithm, the error bound is smaller with the algorithms described by the “inverse and multiply” approach.This is a joint work with my PhD advisors, with the collaboration of Claude-Pierre Jeannerod (CR Inria in AriC, at LIP).

This dissertation aims to identify and analyse the frequency distribution of mor- phological forms of nouns in contemporary Czech. The work is based on an error analysis of texts of non-native speakers revealing and describing frequent types of errors in noun inflection. Against the background of recent research in the field of second language acquisition on the one hand and the principles of communicative approaches to language teaching on the other hand nine textbooks of Czech as a foreign language are analysed for approaches to the introduction and presentation of grammatical cases, their functions and typical constructions. It is concluded that it is necessary to exemplify case functions by prototypical constructions and sufficient sample nouns for which these functions are typical. With regard to the often observed emphasis on the noun as a part of the inflectional paradigm and thus on the nominative singular as its basic form, it is eligible for textbooks and language classes to shift the focus from the dominant paradigmatic to the syntag- matic aspect of nouns and their word forms. One of the initial questions of these theses therefore is which forms of a noun are essential to the adequate (didactical- ly oriented) presentation of the noun and its use. A pilot study conducted on the data of...

The thesis analyses the accuracy and fluency exhibited in the spoken advanced-learner English of Czech students of English philology. It draws its data from a learner corpus comprising fifty 15-minute interviews with these learners and from a parallel native-speaker corpus of forty-nine 15-minute interviews. As regards accuracy, the learner data is analysed using techniques of error analysis. Salient features of advanced learner English are identified and the subsequent quantitative analyses reveal that throughout the entire group of students (which is characterized by what revealed itself to be a wide proficiency span) two groups of error types are found to be much more frequent than any other, namely errors in the use of articles and tenses. For the fluency measurements a small selection of variables has been chosen to describe speed fluency (speech rate) and breakdown fluency (the frequency of unfilled and filled pauses), and the results are compared with those for the parallel native-speaker corpus. The analysed native speakers are found to produce speech at a generally much higher rate than the majority of the learners. There does not appear - at least in the light of the given sample - to be any direct correlation between fluency and the frequency of errors. Moreover, the learners are found...