178,746 research outputs found

    The resolution of the differential Sylvester matrix equations usin gbackward differentiation formula method

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    The resolution of the differential Sylvester matrix equations \begin{equation}\label{1} \left\{ \begin{array}{ll} \dot{X}(t)=AX(t)+X(t)B+C,& \hbox{} \\ X(t_{0})=X_{0}, & t\in[t_{0},T_{f}], \end{array} \right. \end{equation}ARn×n,BRp×p,CRn×p,A\in\mathbb{R}^{n\times n}, B\in\mathbb{R}^{p\times p}, C\in\mathbb{R}^{n\times p}, usin gbackward differentiation formula method Author : LAKHLIFA SADEK. E-mail: [email protected]; [email protected]

    The resolution of the differential Sylvester matrix equations usin gbackward differentiation formula method

    No full text
    The resolution of the differential Sylvester matrix equations \begin{equation}\label{1} \left\{ \begin{array}{ll} \dot{X}(t)=AX(t)+X(t)B+C,& \hbox{} \\ X(t_{0})=X_{0}, & t\in[t_{0},T_{f}], \end{array} \right. \end{equation}ARn×n,BRp×p,CRn×p,A\in\mathbb{R}^{n\times n}, B\in\mathbb{R}^{p\times p}, C\in\mathbb{R}^{n\times p}, usin gbackward differentiation formula method Author : LAKHLIFA SADEK. E-mail: [email protected]; [email protected]

    The resolution of the differential Sylvester matrix equations using Rosenbrock method

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    The resolution of the differential Sylvester matrix equations \begin{equation}\label{1-3} \left\{ \begin{array}{ll} \dot{X}(t)=AX(t)+X(t)B+CD^{T},& \hbox{} \\ X(t_{0})=X_{0}, & t\in[t_{0},T_{f}], \end{array} \right. \end{equation}ARn×n,BRp×p,CRn×s,DRp×sA\in\mathbb{R}^{n\times n}, B\in\mathbb{R}^{p\times p}, C\in\mathbb{R}^{n\times s}, D\in\mathbb{R}^{p\times s} using Rosenbrock method Author : LAKHLIFA SADEK. E-mail: [email protected]; [email protected]

    The solve the matrix Riccati differential equation

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    The numerical solution of the continuous-time symmetric differential matrix Riccati equations using Rosenbrock method on the time interval [t0,Tf][t_{0},T_{f}] of the form: \begin{equation}\label{1} \left\{ \begin{array}{ll} \dot{X}(t)=A^TX(t)+X(t)A-X(t)BB^TX(t)+C^TC,& \hbox{} \\ X(t_{0})=X_{0}, & \end{array} \right. \end{equation} where ARn×nA\in\mathbb{R}^{n\times n}, BRn×sB\in\mathbb{R}^{n\times s} and CRp×nC\in\mathbb{R}^{p\times n}. Author : LAKHLIFA SADEK. E-mail: [email protected]; [email protected]

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis

    "Closing the R&D Gap, Evaluating the Sources of R&D Spending"

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    Both spending and tax policies have been implemented in the United States with the goal of stimulating private sector research and development (R&D). Karier questions whether current R&D policy, especially the research and experimentation tax credit, can contribute to closing the gap between nondefense expenditures on R&D in the United States and such expenditures in other countries, such as Japan and Germany. He also explores possible changes to our current R&D policy to make it more effective.

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Sharjah, U.A.E.: the urban conservative dilemma

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    This thesis has two broad aims, to outline and analyse the urban development of the city of Sharjah, United Arab Emirates, illuminating significant events leading to the establishment and subsequent spatial expansion of the settlement. This analysis provides the basis from which the second part of the thesis is derived, thus fulfilling the second aim; to create a series of conservation zones in the city based upon the historical, architectural and cultural significance of groups of buildings, plus their feasibility for preservation according to their physical condition. It is to attempt to redress the balance of the wholesale demolition of historic areas of Middle-Eastern cities that this thesis is offered, in the hope that the suggestions contained within may provide, at the very least, a stimulus or springboard that could result in the extension and application of ideas to other Gulf cities, so resulting in the regional development of conservation zones. Chapters 1.1, 1.2 and 2 trace the establishment and development of the settlement called Sharjah, outlining significant historic events and their geographical impact upon the town, including the Master Plan of 1959.Chapter 3 widens the approach, comparing the town to others in the Middle East with respect to components considered to be essential elements of urban cores ('medinas').Chapters 4, 5 and 6 analyse these individual components; religious institutional buildings, suqs and residential structures, collating evidence to create proposed conservation zones based on both broad-based patterns and individual case studies to exemplify such findings in detail. Chapter 7 outlines potential problems of large-scale conservation schemes, offering some possible solutions but significantly, presenting the dilemma common to many such cities: the conflict of land use at the heart of the city: its historic urban core. Chapter 8 concludes the thesis by summarizing all previous evidence and submitting up-to-date findings from a field visit in 1991, thus illustrating any significant developments with respect to conservation in the city
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