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Dissertations / Theses on the topic 'Indirect order of words'

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Published: 2 June 2025

Last updated: 31 July 2025

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1

Prawatmuang, Woramon. "Effects of positive evidence, indirect negative evidence and form-function transparency on second language acquisition : evidence from L2 Chinese and L2 Thai." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/270338.

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This study investigates second language (L2) acquisition of word orders and markers of collectivity in Chinese and Thai. One of the differences between Chinese and Thai is that Chinese nominal phrases appear with a “numeral + classifier + noun” word order while Thai phrases appear as “noun + numeral + classifier”. Another difference is that men, the Chinese collective marker, cannot be used with nouns referring to animals or indefinite nouns, while phûak, the Thai collective marker, can do so. Based on the cross-linguistic differences, an empirical study was conducted to answer whether Thai l

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2

Vermeulen, Inga. "Words matter : a pragmatist view on studying words in first-order philosophy." Thesis, University of Sheffield, 2013. http://etheses.whiterose.ac.uk/4759/.

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Davidson, Timothy Norman. "Low-order stabilization : advances in indirect, fixed-order and fixed-structure methods." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240555.

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4

Berger, Ulrich. "Learning to cooperate via indirect reciprocity." Elsevier, 2010. http://epub.wu.ac.at/3273/1/indirec_GEB_revised.pdf.

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Cooperating in the Prisoner's Dilemma is irrational and some supporting mechanism is needed to stabilize cooperation. Indirect reciprocity based on reputation is one such mechanism. Assessing an individual's reputation requires first-order information, i.e. knowledge about its previous behavior, as it is utilized under image scoring. But there seems to be an agreement that in order to successfully stabilize cooperation, higher-order information is necessary, i.e. knowledge of others' previous reputations. We show here that such a conclusion might have been premature. Tolerant scoring, a

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5

Berger, Ulrich, and Ansgar Grüne. "On the stability of cooperation under indirect reciprocity with first-order information." Elsevier, 2016. http://epub.wu.ac.at/5067/1/2016_GEB.pdf.

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Indirect reciprocity describes a class of reputation-based mechanisms which may explain the prevalence of cooperation in large groups where partners meet only once. The first model for which this has been demonstrated was the image scoring mechanism. But analytical work on the simplest possible case, the binary scoring model, has shown that even small errors in implementation destabilize any cooperative regime. It has thus been claimed that for indirect reciprocity to stabilize cooperation, assessments of reputation must be based on higher-order information. Is indirect reciprocity relyi

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6

White, Evelyn M. "Indirect interactions between alien and native Senecio species as mediated by insects." Thesis, Queensland University of Technology, 2008. https://eprints.qut.edu.au/16580/1/Evelyn_White_Thesis.pdf.

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The studies described in this thesis investigate the role of indirect effects in invasion biology. The Introduction provides a brief overview of indirect effects and an outline of the thesis structure. The role of indirect effects in the context of invasion biology is addressed in an in-depth published literature review that comprises the second chapter, providing a theoretical background for the subsequent empirical studies. Chapters Three to Six are comprised of manuscripts that have been published or are under review or in press, which describe studies that investigate the importance of ind

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White, Evelyn M. "Indirect interactions between alien and native Senecio species as mediated by insects." Queensland University of Technology, 2008. http://eprints.qut.edu.au/16580/.

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The studies described in this thesis investigate the role of indirect effects in invasion biology. The Introduction provides a brief overview of indirect effects and an outline of the thesis structure. The role of indirect effects in the context of invasion biology is addressed in an in-depth published literature review that comprises the second chapter, providing a theoretical background for the subsequent empirical studies. Chapters Three to Six are comprised of manuscripts that have been published or are under review or in press, which describe studies that investigate the importance of ind

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8

Berger, Ulrich, and Ansgar Grüne. "Evolutionary Stability of Indirect Reciprocity by Image Scoring." WU Vienna University of Economics and Business, 2014. http://epub.wu.ac.at/4087/1/wp168.pdf.

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Indirect reciprocity describes a class of reputation-based mechanisms which may explain the prevalence of cooperation in groups where partners meet only once. The first model for which this has analytically been shown was the binary image scoring mechanism, where one's reputation is only based on one's last action. But this mechanism is known to fail if errors in implementation occur. It has thus been claimed that for indirect reciprocity to stabilize cooperation, reputation assessments must be of higher order, i.e. contingent not only on past actions, but also on the reputations of the targe

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9

Hölzenbein, Fabian [Verfasser], and Karl Christoph [Akademischer Betreuer] Klauer. "Do (re-)actions speak louder than words? Indirect measures of aggressiveness = Sprechen Taten lauter als Worte? Indirekte Maße der Aggressivität." Freiburg : Universität, 2014. http://d-nb.info/1123479380/34.

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10

Johnson, Russell Clark. "Authorship Attribution with Function Word N-Grams." NSUWorks, 2013. http://nsuworks.nova.edu/gscis_etd/188.

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Prior research has considered the sequential order of function words, after the contextual words of the text have been removed, as a stylistic indicator of authorship. This research describes an effort to enhance authorship attribution accuracy based on this same information source with alternate classifiers, alternate n-gram construction methods, and a genetically tuned configuration. The approach is original in that it is the first time that probabilistic versions of Burrows's Delta have been used. Instead of using z-scores as an input for a classifier, the z-scores were converted to probabi

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11

Sabri, Ahmad. "Gray codes and efficient exhaustive generation for several classes of restricted words." Thesis, Dijon, 2015. http://www.theses.fr/2015DIJOS007/document.

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Nous introduisons des codes de Gray et des algorithmes efficaces de génération exhaustivepour trois classes de mots: (1) suites à croissance restreinte, (2) mots évitant un facteurspécifié, (3) permutations à motif exclus. Pour les deux premières classes, nos codes de Gray (et les algorithmes de génération qui en découlent) sont basés sur des relations d'ordre obtenues par la spécialisation de l'ordre du code de Gray réfléchi. Pour la troisième classe, les codes de Gray et les algorithmes de génération correspondants sont basés sur l'ordre induit par l'algorithme de Steinhaus-Johnson-Trotter p

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12

Trimble, Mark Herbert 1958. "EFFECTS OF ELECTRICAL STIMULATION ON THE RECRUITMENT ORDER OF MOTOR UNITS IN MAN: INDIRECT EXAMINATION BY ELECTRICALLY EVOKED MUSCLE RESPONSES." Thesis, The University of Arizona, 1987. http://hdl.handle.net/10150/276555.

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Although the neural mechanisms responsible for the orderly recruitment of motor units have been investigated extensively, the flexibility of the underlying neural circuitry remains unclear. For example, the effects of electrical stimulation on the recruitment order of motor units is not well understood. This project was designed to study the recruitment order of motor units in man during different stimulation protocols. Examination of the compound-twitch characteristics of electrically evoked responses allowed an indirect determination of motor-unit recruitment order. The results demonstrate t

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Castilla, Rogelio Eduardo Fernandez. "The influence of differentials in child mortality by age of the mother, birth order, and birth spacing on indirect estimation methods." Thesis, London School of Hygiene and Tropical Medicine (University of London), 1985. http://researchonline.lshtm.ac.uk/923207/.

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The objective of this investigation is to analyse the impact of differential mortality by birth order and age of the mother on the indirect estimates of child mortality. This indirect method was proposed by professor W. Brass and is based on reports about the number of children ever born and children surviving to women classified by age groups. The first step was to relax the constraints imposed on the method by the assumption that the risk of dying is invariant with birth order, mother's age and birth spacing patterns. To that effect, on the basis of the available evidence, a functional descr

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Barth, Alexander [Verfasser], Johann [Akademischer Betreuer] Reger, Pérez Jaime Alberto [Gutachter] Moreno, and Martin [Gutachter] Horn. "Indirect adaptive higher-order sliding-mode control using the certainty-equivalence principle / Alexander Barth ; Gutachter: Jaime Alberto Moreno Pérez, Martin Horn ; Betreuer: Johann Reger." Ilmenau : TU Ilmenau, 2020. http://d-nb.info/1224416597/34.

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Sternberg, Julia. "Memory efficient approaches of second order for optimal control problems." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2005. http://nbn-resolving.de/urn:nbn:de:swb:14-1135250699292-11488.

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Consider a time-dependent optimal control problem, where the state evolution is described by an initial value problem. There are a variety of numerical methods to solve these problems. The so-called indirect approach is considered detailed in this thesis. The indirect methods solve decoupled boundary value problems resulting from the necessary conditions for the optimal control problem. The so-called Pantoja method describes a computationally efficient stage-wise construction of the Newton direction for the discrete-time optimal control problem. There are many relationships between multiple sh

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Lhote, Nathan. "Définissabilité et synthèse de transductions." Thesis, Bordeaux, 2018. http://www.theses.fr/2018BORD0185/document.

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Dans la première partie de ce manuscrit nous étudions les fonctions rationnelles, c'est-à-dire définies par des transducteurs unidirectionnels. Notre objectif est d'étendre aux transductions les nombreuses correspondances logique-algèbre qui ont été établies concernant les langages, notamment le célèbre théorème de Schützenberger-McNaughton-Papert. Dans le cadre des fonctions rationnelles sur les mots finis, nous obtenons une caractérisation à la Myhill-Nerode en termes de congruences d'indice fini. Cette caractérisation nous permet d'obtenir un résultat de transfert, à partir d'équivalences l

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17

Hirschberg, Lionel. "Modélisation des oscillations de pression auto-entretenues induites par des tourbillons dans les moteurs à propergol solide." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLC001/document.

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Les moteurs de fusées à ergols solides (SRMs) sont sensibles aux instabilités hydrodynamiques qui peuvent déclencher des oscillations auto-entretenues de pression de grandes amplitudes lorsqu’elles se couplent à l’un des modes acoustiques du système. Le moteur de ces instabilités est la formation de structures tourbillonnaires cohérentes synchronisées par des ondes acoustiques longitudinales. Pour certaines conditions de fonctionnement, les ondes acoustiques générées par l’interaction de ces tourbillons avec la tuyère amorcée du moteur renforcent l’oscillation acoustique. L’objectif des travau

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Bitazi, Fernanda Isabel. "A (des)contrução pela ironia: vozes veladas e desveladas nas narrativas curtas de Moacyr Scliar." Universidade Presbiteriana Mackenzie, 2008. http://tede.mackenzie.br/jspui/handle/tede/2233.

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Made available in DSpace on 2016-03-15T19:46:36Z (GMT). No. of bitstreams: 1 Fernanda Isabel Bitasi.pdf: 811441 bytes, checksum: 59963839d606e8812fb1a25170d39322 (MD5) Previous issue date: 2008-02-26<br>Fundo Mackenzie de Pesquisa<br>Seeing that irony is a linguistic-discursive strategy aimed at unveiling the human being and his experience s contradictions, and, therefore, revealing an indirect argumentation from the enunciator toward these contradictions, the present dissertation intends to verify the process and function of this strategy in some short narratives by Moacyr Scliar. In other

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Wojcik, Caius. "Factorisations des mots de basse complexité." Thesis, Lyon, 2019. http://www.theses.fr/2019LYSE1340.

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Nous présentons dans ce doctorat de mathématiques le travail effectué pendant trois ans à l'Université Claude Bernard Lyon 1. Ce doctorat a été réalisé sous les directions de Boris Adamczewski et Luca Zamboni, tous deux chercheurs à l'UCBL. Le thème général abordé est la combinatoire des mots, sous la forme de deux contributions, l'une concernant la théorie de Ramsey développée dans la première partie, et l'autre la classe des mots sturmiens développée dans la seconde partie. La combinatoire des mots est un domaine à la croisée des mathématiques, et plus généralement des sciences. Avec l'essor

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Popoli, Pierre. "Suites automatiques et morphiques de grande complexité le long des sous-suites." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0195.

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Cette thèse se situe à l'intersection des mathématiques et de l'informatique théorique. Une suite pseudo-aléatoire, bien qu'engendrée par un algorithme déterministe, possède un comportement proche de celui d'une suite aléatoire. Nous nous intéressons à différentes mesures de complexité pour les suites pseudo-aléatoires. D'un autre côté, les suites automatiques sont des suites non aléatoires. Cependant, certaines sous-suites des suites automatiques, comme les sous-suites polynomiales, sont bien plus aléatoires. Dans la première partie de cette thèse, nous établissons une borne inférieure de la

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21

Rocha, Eugénio Alexandre Miguel. "Uma Abordagem Algébrica à Teoria de Controlo Não Linear." Doctoral thesis, Universidade de Aveiro, 2003. http://hdl.handle.net/10773/21444.

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Doutoramento em Matemática<br>Nesta tese de Doutoramento desenvolve-se principalmente uma abordagem algébrica à teoria de sistemas de controlo não lineares. No entanto, outros tópicos são também estudados. Os tópicos tratados são os seguidamente enunciados: fórmulas para sistemas de controlo sobre álgebras de Lie livres, estabilidade de um sistema de corpos rolantes, algoritmos para aritmética digital, e equações integrais de Fredholm não lineares. No primeiro e principal tópico estudam-se representações para as soluções de sistemas de controlo lineares no controlo. As suas trajetórias

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Nogueira, Leila de Mello Yañez. "Estabilidade versus flexibilidade: a dicotomia necessária à inovação na gestão de recursos humanos em uma organização pública, estatal eestratégica como Bio-Manguinhos / Fiocruz." reponame:Repositório Institucional da FIOCRUZ, 2009. https://www.arca.fiocruz.br/handle/icict/2500.

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Made available in DSpace on 2011-05-04T12:36:29Z (GMT). No. of bitstreams: 0 Previous issue date: 2009<br>Este trabalho propõe analisar o fenômeno da terceirização desenvolvido ao longo das duas últimas décadas em Bio-Manguinhos. Trata-se de um estudo de caso realizado na unidade de produção de vacinas e reagentes para diagnóstico da Fundação Oswaldo Cruz. Inicialmente foi realizado um estudo de cenário, analisando a política de gestão do trabalho desenvolvida pelo Estado brasileiro para as instituições públicas. A seguir, a análise passou a verificar a inserção da Fiocruz nessas políticas,

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Kijonková, Jana. "Valence a slovosled. Psychologická slovesa v současné nizozemštině." Doctoral thesis, 2017. http://www.nusl.cz/ntk/nusl-356269.

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This research aims to find out whether and to what extent the valency of psych-verbs influences the word order in the Dutch sentence. Valency is defined as the ability of a verb to bind a number of elements in order to form a grammatically correct sentence. However, valency has to be seen not only from the syntactic, but also from the semantic point of view. In other words, we are not only interested in the number of elements a verb requires, but also in the semantic features of these elements. It has been noted by a number of linguists that certain verbs allow for the nominal subject to be pl

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Chen, Chun-Yu, та 陳桾瑀. "α-Words and Lexicographic Order". Thesis, 2008. http://ndltd.ncl.edu.tw/handle/32646189443182080683.

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碩士<br>中原大學<br>應用數學研究所<br>96<br>Let α = {a1, a2, ...} be a sequence (finite or infinite) of nonnegative integers with a1  0 and an  1, for all n  2. Let A = {a, b} be an alphabet. For n  1, and r1r2 ...rn 2 Nn, with 0 · ri · ai for 1 · i · n, there associates an nth-order α-word un[r1r2 ...rn] derived from the pair (a, b). These α-words are defined recursively as follows: u1 = b, u0 = a, u1[r1] = aa1r1bar1 and ui[r1r2 ¢ ¢ ¢ ri] = ui1[r1r2 ...ri1]airiui2[r1r2 ...ri2]ui1[r1r2 ...ri1]ri , i  2. We call r1r2 ...rn the label of the word un[r1r2...rn]. a, b are α-word with empty label.

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Weis, Philipp. "Expressiveness and succinctness of first-order logic on finite words." 2011. https://scholarworks.umass.edu/dissertations/AAI3465240.

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Expressiveness, and more recently, succinctness, are two central concerns of finite model theory and descriptive complexity theory. Succinctness is particularly interesting because it is closely related to the complexity-theoretic trade-off between parallel time and the amount of hardware. We develop new bounds on the expressiveness and succinctness of first-order logic with two variables on finite words, present a related result about the complexity of the satisfiability problem for this logic, and explore a new approach to the generalized star-height problem from the perspective of logical e

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Weis, Philipp P. "Expressiveness and Succinctness of First-Order Logic on Finite Words." 2011. https://scholarworks.umass.edu/open_access_dissertations/407.

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Expressiveness, and more recently, succinctness, are two central concerns of finite model theory and descriptive complexity theory. Succinctness is particularly interesting because it is closely related to the complexity-theoretic trade-off between parallel time and the amount of hardware. We develop new bounds on the expressiveness and succinctness of first-order logic with two variables on finite words, present a related result about the complexity of the satisfiability problem for this logic, and explore a new approach to the generalized star-height problem from the perspective of logical e

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Jackson, Elisabeth Yvonne. ""Warring Words": Students and the state in New Order Indonesia, 1966-1998." Phd thesis, 2005. http://hdl.handle.net/1885/9557.

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This thesis is a study of the politics of identity of Indonesian university students (mahasiswa) under Suharto’s New Order. It focuses on the period between 1973 and 1988 and on the period between 1989, when Indonesia entered a limited period of openness (keterbukaan), and the fall of Suharto in 1998. The study is grounded in theories about the relationship between language and power and in a method of textual analysis based on critical discourse analysis. Through the application of critical discourse analysis to a number of key state and student texts, the study provides an insight into the

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Hsu, Shu-Ping, and 徐淑萍. "A Comparison Between Chinese and Japanese Words with Inrerse Order of Two Morphemes." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/18723073100400697201.

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Kim, Ki-Won, and 金琪源. "A study of Modern Chinese and Sino-Korean equivalentmorpheme different order words comparison." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/80555350253088929887.

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碩士<br>國立臺灣大學<br>中國文學研究所<br>101<br>This study research Modern-Chinese and Sino-Korean equivalent morpheme different order words comparison, research choice mechanism. First, present notion of morpheme, also discuss condition of equivalent morpheme. For this study, collect equivalent morpheme different order words in xiandaihanyucidian and collect equivalent morpheme different order words in hanguoyucidian, compare both words. This study analysis equivalent morpheme different order words construction and meaning. Second, this study research coordinate construction order choice mechanis

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Yu, Meng-Ting, and 游孟庭. "A Study on Chinese tri-syllable words with same morpheme but opposite in order." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/umnyke.

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碩士<br>國立新竹教育大學<br>臺灣語言與語文教育研究所<br>101<br>Several researchers (陶原珂 2003, 鄭慶君 2003, 邱湘雲 2007) claim that trisyllabic words have developed from disyllabic words by adding extra syllables (words) to disyllabic words. In this study I disagree with the aforementioned opinion and syntactically and morphologically analyse a pair of trisyllabic inverse-morpheme phrases in modern Mandarin, you-bu-de/ bu-you-de (由不得/不由得), from the viewpoint of Historical Linguistics. The research methodology adopted in this investigation is Corpus Linguistics, which provides mass linguistic materials related to you-bu-de

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邱榮信. "The study of Chinese words database and grammar in applying second order markov chains." Thesis, 1992. http://ndltd.ncl.edu.tw/handle/18784862142296839934.

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Lee, Tun-Yuan, and 李敦元. "Chaos Synchronization of Uncertain Fractional Order Chaotic Systems Based on Adaptive Fuzzy Sliding Mode Control: Indirect; Direct; Hybrid." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/55228805426400138229.

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碩士<br>逢甲大學<br>電子工程所<br>99<br>This thesis proposes an adaptive fuzzy sliding model controller (AFSMC) to synchronize two different uncertain fractional order chaotic systems and to synchronize two different uncertain fractional order time delay chaotic systems which are infinite dimensional in nature and time delay is a source of instability. Because modeling the behavior of dynamical systems by fractional order differential equations has more advantages than integer order modeling, the adaptive time delay fuzzy logic system is constructed to approximate the unknown fractional order time delay

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Kaupmann, Philip. "A Novel Indirect Actuation Concept for MEMS Micromirrors." 2019. https://monarch.qucosa.de/id/qucosa%3A74519.

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Scannende MEMS-Mikrospiegel stellen eine vielversprechende technologische Entwicklung mit potentiellen Anwendungen im Bereich der miniaturisierten Bildprojektion und Umgebungssensierung dar. Im Regelfall oszilliert das Spiegelelement hierbei resonant um die horizontale Achse, während die vertikale Achse statisch ausgelenkt wird. Somit ergibt sich ein sogenannter Raster-Scan. Während eine resonante Aktuierung in MEMS-Technologie im Frequenzbereich mehrerer kHz effizient umgesetzt werden kann, stellt die Implementierung statischer Antriebe eine Herausforderung dar. In dieser Arbeit wird ein neua

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Hsiao, Po Hsiu, and 蕭博修. "The Study of Order Decisions under Indirect Selling Model of an Electronic Component Distributor－taking ABC Company as an Example." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/8x3ake.

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Chun-huang, Cheng, and 鄭俊皇. "The research of the application of the comic on the vision－ taken the sound words and the reading order as the key." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/82067374284050232483.

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碩士<br>國立雲林科技大學<br>視覺傳達設計學研究所<br>87<br>The research of the application of the comic on the vision － taken the sound words and the reading order as the key Student：Cheng Chun-huang Advisor：Thzeng Chi-Shiung Department of Visual Communication Design Nathion Yunlin University of Science & Technology Abstract The way to present the comic is the same as the fine arts of printing. Therefore, each comicer has his or her specialty on the touch of drawing and vision style. However, to dealing with the creativity of comic,

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Pokorná, Veronika. "Využití nepřímé kalorimetrie v praxi nutričního terapeuta." Master's thesis, 2020. http://www.nusl.cz/ntk/nusl-434264.

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Introduction: Indirect calorimetry (IC) is a very accurate and non-invasive method which is used in clinical practice to measure the resting metabolic rate. This method is based on the assumption that oxygen consumption, carbon dioxide production and nitrogen metabolite waste are in definite relation to energy consumption. Based on the measurement of resting metabolic rate, a nutritional therapist can individually determine daily energy intake of a respective individual, the optimal amount of specific nutrients and thus prevents excessive or inadequate intake of energy and nutrients. Objective

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ŠICNEROVÁ, Věra. "Kvalita nosného vztahu a zaměřenost na cíl jako účinný faktor v sociální práci." Master's thesis, 2015. http://www.nusl.cz/ntk/nusl-188069.

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The diploma thesis The quality of supporting relationship and aim directivity as a successful factor in social work was written by Šicnerová Věra, Faculty of Theology of the University of South Bohemia. The supervisor of the thesis is Lhotová Marie, PhDr. Ing. Ph.D. Key words: aim, emotions, client, indirect approach, Rogers, empathy, interaction, communication, conflict, social work, social worker, relationship. The diploma thesis describes the development of a social therapeutic relationship between a client and a social worker which is based on non - evaluating approach of the social worker

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Williams, Aaron Michael. "Shift gray codes." Thesis, 2009. http://hdl.handle.net/1828/1966.

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Combinatorial objects can be represented by strings, such as 21534 for the permutation (1 2) (3 5 4), or 110100 for the binary tree corresponding to the balanced parentheses (()()). Given a string s = s1 s2 sn, the right-shift operation shift(s, i, j) replaces the substring si si+1..sj by si+1..sj si. In other words, si is right-shifted into position j by applying the permutation (j j−1 .. i) to the indices of s. Right-shifts include prefix-shifts (i = 1) and adjacent-transpositions (j = i+1). A fixed-content language is a set of strings that contain the same multiset of symbols. Given a f

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Ntuli, Zanele Nonhlanhla. "Gender and dramatic discourse with reference to Zakes Mda's selected plays." Diss., 2019. http://hdl.handle.net/10500/26234.

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Text in English, Tswana and siSwati<br>This dissertation examines the multiplicity of social positions within which African women in the postcolonial era find themselves. It focuses on how the dramatic dialogue depicts the positions of women in Zakes Mda’sThe Nun’s Romantic Story, And the Girls in their Sunday Dresses and You Fool, How can the Sky Fall. The study is intended to explore the dramatic dialogue in these plays and to show whether there is any evidence of change in women’s positions. It seeks to demonstrate the extent to which the positions of women have changed and also how

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Gamieldien, Mogamad Faaik. "An annotated translation of the manuscript Irshad Al-MuqallidinʾInda Ikhtilaf Al-Mujtahidin (Advice to the laity when the juristconsults differ) by Abu Muhammad Al-Shaykh Sidiya Baba Ibn Al-Shaykh Al-Shinqiti Al-Itisha- I (D. 1921/1342) and a synopsis and commentary of its dominant themes". Thesis, 2018. http://hdl.handle.net/10500/25753.

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Text in English and Arabic<br>In pre-colonial Africa, the Southwestern Sahara which includes Mauritania, Mali and Senegal belonged to what was then referred to as the Sudan and extended from the Atlantic seaboard to the Red Sea. The advent of Islam and the Arabic language to West Africa in the 11th century heralded an intellectual marathon whose literary output still fascinates us today. At a time when Europe was emerging from the dark ages and Africa was for most Europeans a terra incognita, indigenous African scholars were composing treatises as diverse as mathematics, agriculture an

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