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Dissertations / Theses on the topic 'Two Groups of Samples'

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Published: 7 June 2025

Last updated: 2 August 2025

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1

Heh, Victor K. "Equating Accuracy Using Small Samples in the Random Groups Design." Ohio University / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1178299995.

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2

Hsu, Kuei-Ling C. "Variability of two sampling methods in plaque samples." Thesis, Birmingham, Ala. : University of Alabama at Birmingham, 2008. https://www.mhsl.uab.edu/dt/2008m/hsu.pdf.

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3

Bradley, John David. "Symmetric presentations of two sporadic groups." Thesis, University of Birmingham, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.422333.

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4

Henes, Matthew Thomas. "Root subgroups of the rank two unitary groups." CSUSB ScholarWorks, 2005. https://scholarworks.lib.csusb.edu/etd-project/2841.

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Discusses certain one-parameter subgroups of the low-rank unitary groups called root subgroups. Unitary groups also have representations of Lie type which means they consist of transformations that act as automorphisms of an underlying Lie algebra, in this case the special linear algebra. Exploring this definition of the unitary groups, we find a correlation, via exponentiation, to the basis elements of Lie algebra.

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5

Gómez, García-Donas Julia. "Age estimation on two Mediterranean samples using rib histomorphometry." Thesis, University of Edinburgh, 2018. http://hdl.handle.net/1842/31496.

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Estimation of age is a crucial step for the identification of unknown individuals. Age is commonly assessed through macroscopic analytical methods based on the gross-examination of age degenerative changes in the skeleton. The choice of the methods relies on the taphonomic condition of the human remains and/or the skeletal element that is available. In cases of very fragmented bones, microscopic techniques remain one of the few approaches to estimate age. Thus, many histological age estimation methods have been developed for different bones and on different samples in the last forty years. Num

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6

Carter, William Paul. "Non-unique Product Groups on Two Generators." Thesis, Virginia Tech, 2007. http://hdl.handle.net/10919/32153.

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The main purpose of this paper is to better understand groups that do not have the unique product property. In particular, the goal is to better understand Promislow's example, G, of such a group. In doing so, we will develop methods for generating examples of other sets that do not have the unique product property. With these methods we can show that there exists other distinct 14 element, square, non-unique product sets in G that are not inversions or translations. Also, this paper answers the question as to whether every non-unique product set can have only 14 elements in the negative by pr

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7

Barton, William H. "COMPARISON OF TWO SAMPLES BY A NONPARAMETRIC LIKELIHOOD-RATIO TEST." UKnowledge, 2010. http://uknowledge.uky.edu/gradschool_diss/99.

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In this dissertation we present a novel computational method, as well as its software implementation, to compare two samples by a nonparametric likelihood-ratio test. The basis of the comparison is a mean-type hypothesis. The software is written in the R-language [4]. The two samples are assumed to be independent. Their distributions, which are assumed to be unknown, may be discrete or continuous. The samples may be uncensored, right-censored, left-censored, or doubly-censored. Two software programs are offered. The first program covers the case of a single mean-type hypothesis. The second pro

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8

Bohn, Lora L. "A nonparametric approach for ranked-set samples from two populations /." The Ohio State University, 1992. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487775034177341.

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9

Böhm, Walter, and Kurt Hornik. "A Kolmogorov-Smirnov Test for r Samples." WU Vienna University of Economics and Business, 2010. http://epub.wu.ac.at/2960/1/Report105.pdf.

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We consider the problem of testing whether r (>=2) samples are drawn from the same continuous distribution F(x). The test statistic we will study in some detail is defined as the maximum of the circular differences of the empirical distribution functions, a generalization of the classical 2-sample Kolmogorov-Smirnov test to r (>=2) independent samples. For the case of equal sample sizes we derive the exact null distribution by counting lattice paths confined to stay in the scaled alcove $\mathcal{A}_r$ of the affine Weyl group $A_{r-1}$. This is done using a generalization of the classical re

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10

Cirak, Mustafa. "Flocculation Behavior Of Two Different Clay Samples From Kirka Tincal Deposit." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12612381/index.pdf.

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11

Olafuyi, Olalekan Adisa Petroleum Engineering Faculty of Engineering UNSW. "Experimental investigation of two-phase flow properties of small core samples." Awarded by:University of New South Wales. Petroleum Engineering, 2008. http://handle.unsw.edu.au/1959.4/43391.

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This thesis presents an experimental investigation of two-phase flow properties of porous rock samples having different scales ranging from micro-CT imaging to conventional core plug scales. Advances in micro-CT imaging of porous materials provide the opportunity to extract representative networks from the images. This improves the predictive capability of porescale network models to predict multiphase flow properties. However, all these predictions need to be validated with laboratory data. Micro-CT imaging is currently limited to small sample sizes, having bulk volumes of the order of 0.1 cm

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12

Feng, Qi. "Two essays on trade policy and interest groups /." Diss., ON-CAMPUS Access For University of Minnesota, Twin Cities Click on "Connect to Digital Dissertations", 2000. http://www.lib.umn.edu/articles/proquest.phtml.

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13

Jones, Martin S. G. "Groups acting on a product of two trees." Thesis, University of Newcastle Upon Tyne, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.500936.

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This thesis considers groups which act cocompactly on a product of two trees and draws on previous results by various mathematicians including Burger, Mozes, Rattaggi, Robertson and Wise. A characterisation is given of all groups which act regularly on the set of vertices, generalising a result of Robertson & Kimberley. We enumerate such groups acting on products of trees with low degree, and study various subgroups of interest.

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14

Arta, Mahmood Reza. "The behaviour of laterally loaded two-pile groups." Thesis, Durham University, 1992. http://etheses.dur.ac.uk/6122/.

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The response of piles and two-pile groups to lateral loading has been studied by field tests and computationally. Due to the lack of field test data and because of uncertainty concerning the pile/soil system it has been suggested that further experimental studies of pile groups under lateral loading should be undertaken. The research was conducted through a series of tests on vertical single piles and two-pile groups at various spacing and pile cap overhang heights, to identify the lateral stiffness, bending moment and axial force distribution. Attempts were also made to measure the in-situ to

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15

Rose, Andrew James. "Representation theory of rank two Kac-Moody groups." Thesis, University of Warwick, 2011. http://wrap.warwick.ac.uk/49173/.

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An example of an affine Kac-Moody group of rank two can be found in a central extension of the group of unimodular, two by two matrices over the non-archimedean local field Fq((z)). This thesis studies the representation theory of rank two Kac-Moody groups, paying particular attention to this example. We begin by determining an explicit formula for the cocycle associated to the central extension mentioned above. An exposition of the irreducible principle series representations of SL2(Fq((z))) follows along with a study of the irreducible finite dimensional representations of split and non-spli

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16

Korzycka, Karolina Anna. "Two-photon sensitive protecting groups for biological application." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:7e895ed2-04a5-4c0b-9105-74461eae8796.

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Caged compounds are a class of photosensitive reagents used to stimulate cells with spatial control down to a sub-cellular level, and millisecond temporal control. They comprise of biologically important molecule which is modified with a photolabile protecting group. In the absence of light, caged compounds are physiologically silent but irradiation with light induces the release of biologically active species. Illumination under two-photon conditions is particularly advantageous as it enables restriction of the photolysis volume to ~1 fL and it provides deeper penetration into scattering samp

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17

Stone, Margaret A. "Screening for Helicobacter pylori : studies in two population samples from central England." Thesis, University of Leicester, 1998. http://hdl.handle.net/2381/29575.

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If it is clearly demonstrated that eradicating Helicobacter pylori (H pylori) in asymptomatic subjects would lead to a reduction in morbidity and mortality, population screening may become justified. It must also, however, be shown that prevalence of infection can be effectively reduced; these studies addressed the hypothesis that this can be achieved through community screening and eradication. A serological screening test for infection with H. pylori was offered in two community programmes in Market Harborough and Belgrave. Those testing positive were offered a prescription for eradication t

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18

Massimino, Simona. "Emotion Regulation And Personological Profile In Two Samples Of High-Risk Sports." Doctoral thesis, Università di Catania, 2016. http://hdl.handle.net/10761/3955.

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The present study examined the personological characteristics that define two groups of experienced sportspeople, skydivers and cavers, with the aim to identify the personality factors that may be good predictors of risk. Moreover, the present study examined whether and how the skydiving and caving, high-risk sports, can affect their control of emotions, anxiety and mood. To carry out the study, 23 skydivers and 34 cavers were asked to complete four questionnaires: Big Five Questionnaire-2, Profile of Mood States, State-Trait Anxiety Inventory Forma-Y and Risk Taking Inventory. The results con

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19

Jansson, Fredrik. "Modelling Two-Person Interactions Within and Between Cultural Groups." Doctoral thesis, Mälardalens högskola, Utbildningsvetenskap och Matematik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-16500.

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The groups with which we associate influence our actions. This is often the case even when they are not deliberately organised but rather based on social categories, such as sex and skin colour, or cultural homogeneity, such as common language or customs. Group membership can cause widespread phenomena such as ingroup favouritism, polarisation of opinion and competition. Previous experiments have shown that these effects can be triggered by even completely arbitrary distinctions between groups. This thesis uses mathematical models to investigate under what circumstances these phenomena can ari

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20

Roa, María Luisa, María Victoria del Barrio, and Miguel Ángel Carrasco. "Comparison of infantile aggression in two different cultural groups." Pontificia Universidad Católica del Perú, 2013. http://repositorio.pucp.edu.pe/index/handle/123456789/99629.

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Different emotions and behaviors were examined in this study: Emotional Instability. Physicaland Verbal Aggression, and Prosocial Behavior. First of all, we analyzed the correlation betweenratings from different sources (children or teachers). Cultural differences were also discussedwith regards to a sample of 50 children and adolescents, 25 Peruvians and 25 Spanish.Data showed non-significan! differences in Aggressiveness between children and teachers' ratings.Nevertheless, the correlation is higher between Peruvian children and teachers than betweenSpanish ones. On the other hand, Peruvian t

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21

Deuley, Amanda. "The Psychosocial Effects of Aphasia Across Two Ethnic Groups." Cleveland State University / OhioLINK, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=csu1438303918.

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22

Alothman, Ahmad. "Model-Free Variable Selection For Two Groups of Variables." Diss., Temple University Libraries, 2018. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/515925.

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Statistics<br>Ph.D.<br>In this dissertation we introduce two variable selection procedures for multivariate responses. Our procedures are based on sufficient dimension reduction concepts and are model-free. In the first procedure we consider the dual marginal coordinate hypotheses, where the role of the predictor and the response is not important. Motivated by canonical correlation analysis (CCA), we propose a CCA-based test for the dual marginal coordinate hypotheses, and devise a joint backward selection algorithm for dual model-free variable selection. The second procedure is based on ordin

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23

Lorenc, Boris. "Two topics in survey methodology : modelling the response process in establishment surveys : inference from nonprobability samples using the double samples setup /." Stockholm : Department of Statistics, Stockholms University, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-1063.

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24

Tsai, Yeng-Chieh. "The application of two-dimensional genomic DNA nylon matrix for environmental samples analysis." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 67 p, 2009. http://proquest.umi.com/pqdweb?did=1654501591&sid=1&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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25

Starnoni, Michele. "Modelling single and two-phase flow on micro-CT images of rock samples." Thesis, University of Aberdeen, 2017. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=232293.

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In this Thesis, numerical simulations of single and two-phase pore-scale flow on three dimensional images obtained from micro-CT scanning of different reservoir rocks are presented. For single-phase flow, the petrophysical properties of rocks, namely Representative Elementary Volume (REV), mean pore and grain size, and absolute permeability, are calculated using an integrated approach comprising image processing, statistical correlation and numerical simulations. Two rock formations, one carbonate and one sandstone, are used throughout this Thesis. It is shown that REV and mean pore and grain

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26

Vercheval, Nicolas. "The Representation of Symmetric Groups in Two-Dimensional Persistent Homology." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/13545/.

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The two dimensional persistent homology, that can be reduced to the homology of a family of parameterized real functions, can be found to have some issues due to a phenomenon of monodromy, which happens when a loop in the parameters' space doesn't translate into loops of the elements of the persistent diagram. Instead they switch place between them in a functorial way. In this paper we present a formalisation of this functor and we will make an use of it, representing an arbitrary symmetric group by means of a suitable filtering function.

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27

George, Terrance Christopher. "Perceptions of African-American Males on Retention: Two Focus Groups." TopSCHOLAR®, 2011. http://digitalcommons.wku.edu/theses/1086.

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The intent of this study was to identify the issues that impact the retention of African-American, Black males in college. The study was of two small focus groups comprised of African-American students of various grade classifications from a regional comprehensive university in the southeast. These focus groups were comprised of up to but no more than six students. The decision on the group size was made to allow all of the students’ ample opportunity to respond to the eight questions used in the focus groups. The student groups attended the university main campus as well as the university Sou

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28

Oglivy, C. M. "Family type, cognition and social thinking in two ethnic groups." Thesis, University of Strathclyde, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.381704.

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29

Deodhar, Bhushan S. "Towards the development of rotaxanes with two functional blocking groups." University of Cincinnati / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1311690891.

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30

Neal, Peggy Parker. "Stress patterns in English of two groups of Slavic speakers /." Digital version accessible at:, 1999. http://wwwlib.umi.com/cr/utexas/main.

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31

Bhatta, Dilli. "A Bayesian Test of Independence for Two-way Contingency Tables Under Cluster Sampling." Digital WPI, 2013. https://digitalcommons.wpi.edu/etd-dissertations/128.

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We consider a Bayesian approach to the study of independence in a two-way contingency table obtained from a two-stage cluster sampling design. We study the association between two categorical variables when (a) there are no covariates and (b) there are covariates at both unit and cluster levels. Our main idea for the Bayesian test of independence is to convert the cluster sample into an equivalent simple random sample which provides a surrogate of the original sample. Then, this surrogate sample is used to compute the Bayes factor to make an inference about independence. For the test of indepe

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32

Wakefield, Thomas Philip. "Verifying Huppert's Conjecture for the simple groups of Lie type of rank two." [Kent, Ohio] : Kent State University, 2008. http://etd.ohiolink.edu/etd/send-pdf.cgi/Wakefield%20Thomas%20Philip.pdf?acc_num=kent1211880668.

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Thesis (Ph.D.)--Kent State University, 2008.<br>Title from PDF t.p. (viewed Sept. 17, 2009). Advisor: Donald White. Keywords: Huppert's Conjecture; character degrees; nonabelian finite simple groups Includes bibliographical references (p. 103-105).

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33

Cruise, Keith R. "Measurement of Adolescent Psychopathy: Construct and Predictive Validity in Two Samples of Juvenile Offenders." Thesis, University of North Texas, 2000. https://digital.library.unt.edu/ark:/67531/metadc2648/.

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The construct of psychopathy holds promise as a discriminating variable in the classification and explanation of childhood antisocial behavior. The new generation of psychopathy measures, designed to measure this construct in adolescent populations, must meet acceptable standards of reliability and validity prior to the clinical application of the construct with adolescent offenders. The purpose of this study is to examine the construct and predictive validity of adolescent psychopathy as measured by the PCL:YV, PSD, SALE, and SRP-II. Data from two samples of detained adolescent offenders (sho

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34

Nguyen, Quyen B. "Two groups of occasional smokers different pathways with the same outcome /." Diss., [La Jolla] : [San Diego] : University of California, San Diego ; San Diego State University, 2010. http://wwwlib.umi.com/cr/ucsd/fullcit?p3403097.

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35

Cherkassoff, Michael Boris. "Generation of certain groups by three involutions, two of which commute." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0004/NQ34541.pdf.

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36

Yakey, Abigail Brodrick. "COMPARING FOOT PRESSURES DURING FEEDING IN TWO DISTINCT GROUPS OF CHILDREN." Miami University / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=miami1176925538.

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37

Hadley, Craig. "The biosocial correlates of children's growth in two Tanzanian ethnic groups /." For electronic version search Digital dissertations database. Restricted to UC campuses. Access is free to UC campus dissertations, 2003. http://uclibs.org/PID/11984.

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38

Davila, Yvonne A. "QSEN Competency Confidence Levels in Two Groups of New Registered Nurses." ScholarWorks, 2019. https://scholarworks.waldenu.edu/dissertations/6549.

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Healthcare agencies and stakeholders expect registered nurses to be competent at all times. When nurses are not confident in competencies, negative patient outcomes can occur. The purpose of this quantitative quasiexperimental with posttest only study was to investigate Quality and Safety Education for Nurses (QSEN) competency confidence levels of 2 groups of new nurses who had 5-6 months of clinical experience. Framed by the Duchscher theory and the QSEN framework, the research question was developed to examine the differences between QSEN competency confidence levels of new nurses who partic

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39

Banks, James Brian. ""Where two or more" : the power of praying together." Theological Research Exchange Network (TREN) Access this title online Theological Research Exchange Network (TREN), 2006. http://www.tren.com.

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40

Zou, Maorong. "Geometry of two degree of freedom integrable Hamiltonian systems." Diss., The University of Arizona, 1992. http://hdl.handle.net/10150/185996.

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In this work, several problems in the field of Hamiltonian dynamics are studied. Chapter 1 is a short review of some basic results in the theory of Hamiltonian dynamics. In chapter 2, we study the problem of computing the geometric monodromy of the torus bundle defined by integrable Hamiltonian systems. We show that for two degree of freedom systems near an isolated critical value of the energy momentum map, the monodromy group can be determined solely from the local data of the energy momentum map at the singularity. Along the way, we develop a simple method for computing the monodromy group

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41

De, Saedeleer Julie. "The residually weakly primitive and locally two-transitive rank two geometries for the groups PSL(2, q)." Doctoral thesis, Universite Libre de Bruxelles, 2010. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210037.

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The main goal of this thesis is a contribution to the classification of all incidence geometries<p>of rank two on which some group PSL(2,q), q a prime power, acts flag-transitively.<p>Actually we require that the action be RWPRI (residually weakly primitive) and (2T)1<p>(doubly transitive on every residue of rank one). In fact our definition of RWPRI requires<p>the geometry to be firm (each residue of rank one has at least two elements) and RC<p>(residually connected).<p><p>The main goal is achieved in this thesis.<p>It is stated in our "Main Theorem". The proof of this theorem requires more t

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42

Piscitelli, Michele. "Ultralow-field NMR on room temperature samples using a low TC two-stage DC SQUID." Thesis, Royal Holloway, University of London, 2010. http://repository.royalholloway.ac.uk/items/00352fe8-5ec1-2663-5c7a-ba2a9554c6ad/10/.

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This thesis describes the development of low-field Nuclear Magnetic Resonance (NMR) systems based on Superconducting QUantum Interference Device (SQUID) detection for use on room temperature samples and presents initial test results using various liquid samples. The original proof of principle low-field SQUID NMR spectrometer consists of a cryogenic dipper probe designed for small liquid samples on the order of 100 μl, which is operated in a liquid-helium Dewar equipped with a simple μ-metal shield. The samples are kept at room temperature inside a vacuum cell placed in the centre of a compact

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43

Murphy, Jamie. "Trauma and the continuum of psychosis : an analysis of two large-scale population-based samples." Thesis, University of Ulster, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.444453.

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44

Jorstad, Connie Mae. "Small groups vs. the Internet : two types of personal interaction and their effects on social capital." Virtual Press, 1998. http://liblink.bsu.edu/uhtbin/catkey/1115762.

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This study examines the differences between interaction in Internet chat rooms and face to face communication and the effect those differences have on the development of social capital. Much has been written recently regarding the decline of social capital as evidenced by decreasing membership in small organizations. However, relatively little has been written about the potential for social capital to be_ developed through other forms of interaction. Results of this study indicate that though there are differences in the two experimental groups, there are no statistically significant differenc

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45

Ortakoyluoglu, (kucukavsar) Hale. "A Comparison Of Professional Qualities Of Two Groups Of Prospective English Teachers." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12605437/index.pdf.

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The purpose of the study is two-fold. The primary concern is to specify to what degree the senior students of the Department of English Language Teaching (ELT) at Abant izzet Baysal University and those, authorized with a teaching certificate, of the Department of English Language and Literature (ELL) at Erciyes University feel knowledgeable and competent in meeting the international standards that an English Language teacher should have. The secondary concern is to identify to what degree the methodology courses offered by the ELT and Certificate Programs seem adequate to provide the students

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46

Voges, Kristin Leigh. "Retail yields and fabrication times for beef subprimals from two grade groups." Texas A&M University, 2004. http://hdl.handle.net/1969.1/1418.

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Beef subprimals (n = 356), representing USDA Low Choice and Select grades, were obtained from a major beef processor. Selected subprimals represented the normal weight variation and standard packer fat trim levels associated with commodity boxed beef. The subprimals selected included beef rib, blade meat; beef rib, ribeye roll, lip-on, bone-in; beef rib, ribeye roll (0x0); beef rib, ribeye, lip-on (2x2) (5.08 cm x 5.08 cm); beef rib, ribeye, lip-on modified (1x1) (2.54 cm x 2.54 cm); beef rib, ribeye (IM, individual muscle); beef rib, ribeye cap (IM); beef chuck, outside shoulder clod, trimmed

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47

Scott, Phillips Preston. "Ethnic collective action : a case study of two ethnic groups in Jordan." Thesis, University of Warwick, 2008. http://wrap.warwick.ac.uk/4109/.

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This thesis was undertaken to gain greater insights into ethnic collective action (ECA). A review of the literature revealed five gaps; a narrow definition of ECA, a failure to investigate ECA as an interactive process, a tendency to focus on external structures, a limited acknowledgement of the importance of internal heterogeneity and of intra-actions, and a lack of explanation of the role and importance of actors' worldviews. My research challenged the gaps by proposing that ECA is not only an outcome, but also part of an ongoing process. This thesis builds on elements of the theoretical app

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48

James, Jonathan Paul. "Two point stabilisers of partition actions of symmetric, alternating and linear groups." Thesis, University of Cambridge, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.605046.

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49

SERAFIM, JACILEIDE DE ALMEIDA. "CONCEPTION AND IMPLEMENTATION OF SELF-MANAGING GROUPS: ANALYSIS OF TWO INDUSTRIAL CASES." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2005. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=6956@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>A presente dissertação tem como objetivo identificar e compreender o processo de concepção e implantação de grupos autogerenciáveis na produção, por meio da análise de dois casos de implantação desses grupos, nas empresas Ambev e Michelin. Busca-se primeiramente analisar as abordagens que introduziram o conceito de grupos autogerenciáveis, ressaltando suas características. Os casos são descritos de forma a mostrar a situação das empresas antes das mudanças, bem como as etapas mais relevantes nos processos de concepção e im

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50

Mustafa, Khawlah Ali. "One-parameter groups of Möbius maps in two-dimensional real commutative algebra." Thesis, University of Leeds, 2018. http://etheses.whiterose.ac.uk/21326/.

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Abstract:

Möbius transformations have been thoughtfully studied over the field of complex numbers. In this thesis, we investigate Möbius transformations over two rings which are not fields: the ring of double numbers $\mathbb O$ and the ring of dual numbers $\mathbb D$. We will see certain similarity between the cases of fields and rings along with some significant distinctions. After the introduction and necessary background material, given in the first two chapters, I introduce general linear groups, projective lines and Möbius transformations over several rings such us the ring of integer numbers,

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