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Learning a book in general involves reading it, underlining important words, adding comments, summarizing some passages, and marking up some text or concepts. Once deeper understanding is achieved, one would like to organize and manage her/his knowledge in such a way that, it could be easily remembered and efficiently transmitted to others. In this paper, books organized in terms of chapters consisting of verses, are considered as the source of knowledge to be modeled. The knowledge model consists of verses with their metadata and semantic annotations. The metadata represent the multiple perspectives of knowledge modeling. Verses with their metadata and annotations form a meta-model, which will be published on a web Mashup. The meta-model with linking between its elements constitute a knowledge base. An XML-based annotation system breaking down the learning process into specific tasks, helps constructing the desired meta-model. The system is made up of user interfaces for creating metadata, annotating chapters’ contents according to user selected semantics, and templates for publishing the generated knowledge on the Internet. The proposed software system improves comprehension and retention of knowledge contained in religious texts through modeling and visualization. The system has been applied to the Quran, and the result obtained shows that multiple perspectives of information modeling can be successfully applied to religious texts. It is expected that this short ongoing study would motivate others to engage in devising and offering software systems for cross-religions learning.
In the following dissertation we consider three preconditioners of algebraic multigrid type, though they are defined for arbitrary prolongation and restriction operators, we consider them in more detail for the aggregation method. The strengthened Cauchy-Schwarz inequality and the resulting angle between the spaces will be our main interests. In this context we will introduce some modifications. For the problem of the one-dimensional convection we obtain perfect theoretical results. Although this is not the case for more complex problems, the numerical results we present will show that the modifications are also useful in these situation. Additionally, we will consider a symmetric problem in the energy norm and present a simple rule for algebraic aggregation.
Design and Implementation of Architectures for Interactive Textual Documents Collation Systems
(2011)
One of the main purposes of textual documents collation is to identify a base text or closest witness to the base text, by analyzing and interpreting differences also known as types of changes that might exist between those documents. Based on this fact, it is reasonable to argue that, explicit identification of types of changes such as deletions, additions, transpositions, and mutations should be part of the collation process. The identification could be carried out by an interpretation module after alignment has taken place. Unfortunately existing collation software such as CollateX1 and Juxta2’s collation engine do not have interpretation modules. In fact they implement the Gothenburg model [1] for collation process which does not include an interpretation unit. Currently both CollateX and Juxta’s collation engine do not distinguish in their critical apparatus between the types of changes, and do not offer statistics about those changes. This paper presents a model for both integrated and distributed collation processes that improves the Gothenburg model. The model introduces an interpretation component for computing and distinguishing between the types of changes that documents could have undergone. Moreover two architectures implementing the model in order to solve the problem of interactive collation are discussed as well. Each architecture uses CollateX library, and provides on the one hand preprocessing functions for transforming input documents into CollateX input format, and on the other hand a post-processing module for enabling interactive collation. Finally simple algorithms for distinguishing between types of changes, and linking collated source documents with the collation results are also introduced.
The analysis of real data by means of statistical methods with the aid of a software package common in industry and administration usually is not an integral part of mathematics studies, but it will certainly be part of a future professional work. The present book links up elements from time series analysis with a selection of statistical procedures used in general practice including the statistical software package SAS. Consequently this book addresses students of statistics as well as students of other branches such as economics, demography and engineering, where lectures on statistics belong to their academic training. But it is also intended for the practician who, beyond the use of statistical tools, is interested in their mathematical background. Numerous problems illustrate the applicability of the presented statistical procedures, where SAS gives the solutions. The programs used are explicitly listed and explained. No previous experience is expected neither in SAS nor in a special computer system so that a short training period is guaranteed. This book is meant for a two semester course (lecture, seminar or practical training) where the first three chapters can be dealt within the first semester. They provide the principal components of the analysis of a time series in the time domain. Chapters 4, 5 and 6 deal with its analysis in the frequency domain and can be worked through in the second term. In order to understand the mathematical background some terms are useful such as convergence in distribution, stochastic convergence, maximum likelihood estimator as well as a basic knowledge of the test theory, so that work on the book can start after an introductory lecture on stochastics. Each chapter includes exercises. An exhaustive treatment is recommended. Chapter 7 (case study) deals with a practical case and demonstrates the presented methods. It is possible to use this chapter independent in a seminar or practical training course, if the concepts of time series analysis are already well understood. This book is consecutively subdivided in a statistical part and an SAS-specific part. For better clearness the SAS-specific parts are highlighted. This book is an open source project under the GNU Free Documentation License.
Isolated left ventricular non-compaction cardiomyopathy (LVNC) is a congenital myocardial disease characterized by excessive and prominent trabeculations in the left ventricle with deep intertrabecular recesses. Trabeculation is, however, a non specific finding which is present not only in LVNC but also in other cardiomyopathies like dilated cardiomyopathy (DCM) and even in healthy controls, therefore, differential diagnosis keeps puzzling clinicians. Therefore the present study aimed to comprehensively explore regional myocardial deformation properties in adult patients with isolated LVNC using strain and strain rate imaging derived from tissue Doppler imaging and 2D speckle tracking. It was proposed that the knowledge of deformation properties in LVNC would help to differentiate patients with LVNC and DCM. A total of 14 patients with LVNC, 15 patients with DCM, and 15 healthy controls were included in this study. The groups were matched for age and gender. Standard 2D echocardiography was performed in all subjects, and tissue Doppler imaging (TDI) of all ventricular walls was acquired using parasternal long axis, apical 4-chamber, 2-chamber, and apical long axis views. Deformation imaging data derived from both TDI and grey scale images were analyzed. Clinical and standard echocardiographic findings in patients with LVNC and DCM were similar. In patients with LVNC, hypertrabeculation was mostly located in the apical and mid segments of the left ventricle and strikingly more than in patients with DCM. The extent of non-compaction was poorly related to global left ventricular systolic function (LVEF) as well as regional myocardial function assessed by strain rate imaging. Regional myocardial systolic deformation in patients with LVNC was significantly impaired in the left and right ventricles in both longitudinal and radial direction. There was a striking difference on longitudinal myocardial systolic function between LVNC and DCM patients, i.e., an increasing strain and strain rate gradient from apex to base in patients with LVNC, whereas patients with DCM displayed a homogeneously decreased strain and strain rate in all segments. Results derived from 2D speckle tracking method were consistent with those from TDI method. Analysis of myocardial mechanical asynchrony revealed a lack of myocardial contraction synchrony in the LVNC and DCM patients. The time to systolic peak velocity was obviously delayed in these two patient groups. However, the mechanical asynchrony features were similar in patients with LVNC and DCM and could not serve for differential diagnosis. In conclusion, LVNC and DCM are both cardiomyopathies presenting reduced regional myocardial function and mechanical asynchrony. Nevertheless differential diagnosis can be made by analysis of hypertrabeculation as well as analysis of regional myocardial deformation pattern.
This work focuses on theoretical approaches for predicting the valence and core excited states of aggregate systems. For the valence excitations, TD-HF and TD-DFT with different functionals have been tested at the Perylene bisimide (PBI) system. A simple character analysis method based on the calculated transition dipole moments is proposed. However, this method does not work for excited states without any transition dipole moment. Thus, we proposed a more general and more valid method based on a calculated CIS type wavefunction for the character analysis. Furthermore, a model Hamiltonian method is derived from a localized picture. The energies of the diabatic states and the corresponding coupling parameters were also determined on the basis of ab initio calculations. For the core excitation, three different methods were validated for C 1s-excited and ionized states if several small molecules. Also we tested the basis sets dependence of these core excited states. Based on those results, we chose the frozen core approximation method to evaluate the core excited states of NTCDA molecules. In order to explain the findings in the experiments, we developed an algorithm to evaluate the exciton coupling parameter where non-orthogonal MOs are used.
The Quran is the holy book of Islam consisting of 6236 verses divided into 114 chapters called suras. Many verses are similar and even identical. Searching for similar texts (e.g verses) could return thousands of verses, that when displayed completely or partly as textual list would make analysis and understanding difficult and confusing. Moreover it would be visually impossible to instantly figure out the overall distribution of the retrieved verses in the Quran. As consequence reading and analyzing the verses would be tedious and unintuitive. In this study a combination of interactive scatter plots and tables has been developed to assist analysis and understanding of the search result. Retrieved verses are clustered by chapters, and a weight is assigned to each cluster according to number of verses it contains, so that users could visually identify most relevant areas, and figure out the places of revelation of the verses. Users visualize the complete result and can select a region of the plot to zoom in, click on a marker to display a table containing verses with English translation side by side.
The present study concerned mainly on the source, facies, and sedimentary environments of the Middle to Upper Jurassic strata in the Kerman and Tabas areas, east-central Iran. The composition of sandstones, and heavy mineral analysis point to pre-existing sedimentary, low, middle to upper rank metamorphic, and plutonic rocks of the Kalmard, Posht-e-Badam, Bayazeh, and Zarand-Kerman areas as the source rocks. According to the diagram of WELTJE et al. (1998), most samples from the Middle-Upper Jurassic rocks suggest a moderate to high elevation of the source area, and indicate a semi-arid and mediterranean to sub-humid climate. In the Qt-F-L ternary diagrams of DICKINSON et al. (1983), most point counting data from the Lower Siliciclastic Member and the top of the Hojedk Formation plot in the recycled orogen (Quartzose recycled) area of the diagram. The sandstones in this area can be interpreted as being derived from the Mid-Cimmerian Movements. Sixteen different types of siliciclastic-carbonate, and evaporatic sedimentary environments have been recognized. Thirty-nine macroinvertebrate taxa have been identified. Ten ichnotaxa have been taxonomically described from the Middle to Upper Jurassic rocks. Quite likely, before rotation of CEIM which were associated with counterclockwise block-rotation, equivalent rocks of the Bidou Formation occurred along the tectonic zone between the Yazd and the Tabas blocks (probably during the Middle Jurassic to Lower Cretaceous). However, from the Cretaceous onwards, most of the Bidou Formation has been removed by a combination of strike-slip and reverse movements of the Kashmar-Kerman tectonic zone. Roughly, these block-rotation movements occurred after the Cretaceous. During the Middle to Upper Jurassic, the tectonic activities were vertical movements producing the sedimentary pattern in the CEIM.
A Knowledge-based Hybrid Statistical Classifier for Reconstructing the Chronology of the Quran
(2011)
Computationally categorizing Quran’s chapters has been mainly confined to the determination of chapters’ revelation places. However this broad classification is not sufficient to effectively and thoroughly understand and interpret the Quran. The chronology of revelation would not only improve comprehending the philosophy of Islam, but also the easiness of implementing and memorizing its laws and recommendations. This paper attempts estimating possible chapters’ dates of revelation through their lexical frequency profiles. A hybrid statistical classifier consisting of stemming and clustering algorithms for comparing lexical frequency profiles of chapters, and deriving dates of revelation has been developed. The classifier is trained using some chapters with known dates of revelation. Then it classifies chapters with uncertain dates of revelation by computing their proximity to the training ones. The results reported here indicate that the proposed methodology yields usable results in estimating dates of revelation of the Quran’s chapters based on their lexical contents.