7,600 research outputs found

    Local curvature-dimension condition implies measure-contraction property

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    AbstractWe prove that for non-branching metric measure spaces the local curvature condition CDloc(K,N) implies the global version of MCP(K,N). The curvature condition CD(K,N) introduced by the second author and also studied by Lott and Villani is the generalization to metric measure space of lower bounds on Ricci curvature together with upper bounds on the dimension. This paper is the following step of Bacher and Sturm (2010) [1] where it is shown that CDloc(K,N) is equivalent to a global condition CD⁎(K,N), slightly weaker than the usual CD(K,N). It is worth pointing out that our result implies sharp Bishop–Gromov volume growth inequality and sharp Poincaré inequality

    STURM (C. C.)

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    Huguet Françoise. STURM (C. C.). In: Les Livres pour l'Enfance et la Jeunesse de Gutenberg à Guizot. Les collections de la Bibliothèque de l'Institut National de Recherche Pédagogique. Paris : Institut national de recherche pédagogique, 1997. p. 277. (Bibliothèque de l'Histoire de l'Education, 16

    在有限區間向量型Sturm-Liouville方程式的唯一性定理

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    博士關於定義在區間的非對稱形Sturm-Liouville 微分方程式的反問題研究及學習,Yurko ( [24] , 2006)利用Weyl矩陣,提出了矩陣邊界值問題的反問題有唯一性的定理。 在本篇論文,首先;對於Sturm-Liouville矩陣微分方程式含有一般的邊界條件的反問題,我們將証明ㄧ般的h1 , H1,亦可得到Q(x)有唯一性。利用矩陣型式邊界值反問題的唯一性,我們主要工作是在向量微分方程式邊界值反問題上,探求向量頻譜(spectral sets)與位階函數Q(x)唯一性的關係。 對於h1 = H1 = In ,我們找出某些個頻譜就可以決定Q(x)了。而若為一對稱矩陣或對角化矩陣,則個別僅需某些頻譜集合即可。 對於一般的h1 , H1,我們也獲得了一些相關的結果。Inverse spectral problems are studied for the non-self-adjoint matrix Sturm-Liouville differential equation on a finite interval. Using Weyl function, Yurko([24],2006) solved the inverse spectral problem for the matrix Sturm-Liouville operator on a finite interval with the boundary value problem L(Q(x), h, H ). At first, in this thesis, we try to solve the uniqueness theorem of the matrix-valued boundary value problem for arbitrary matrices h1 , h0 , H1 , H0 with the general boundary conditions. By the uniqueness theorem of L(Q(x),h1 , h0 , H1 , H0) described as above, our main work is to find those relations between spectra and potential Q(x) for the vectorial Sturm-Liouville differential equation. For h1 = H1 = In , we will give some characteristic functions corresponding to spectra to determine the Weyl matrix and to prove the uniqueness theorem. Furthermore, we also prove the uniqueness theorems for the vectorial Sturm-Liouville operators with real symmetric potential or real diagonal potential by given some spectra, respectively. We also obtain some results for arbitrary matrices h1 and H1.Chapter 1. Introduction 1.1 Sturm-Liouville operators on a finite interval .......... 3 1.2 Vectorial Sturm-Liouville equation on a finite interval ...........6 1.3 The Weyl matrix .............. 9 1.4 Sturm-Liouville equation on a graph ...... 11 Chapter 2. Uniqueness of the potential function for vectorial Sturm-Liouville equation on a finite interval 2.1 Preliminaries ............19 2.2 Main results ..............21 Chapter 3. Uniqueness theorem for the vectorial Sturm-Liouville equation with general boundary conditions 3.1 Introduction .................... 31 3.2 Preliminaries ............... 32 3.3 Main results .................... 38 References .............................50學號: 892150052, 學年度: 10

    Philip C. Jessup International Law Moot Court Competition, Quarterfinalist 2015

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    Norton, Elizabeth- 2015 Philip C. Jessup International Law Moot Court Competition Quarterfinalist U.S. Rocky Mountain Regional Hosted by University of Denver Sturm College of Law- 2015 Philip C. Jessup International Law Moot Court Completion Quarterfinalist U.S. Rocky Mountain Regional Hosted by University of Denver Sturm College of LawQuarterfinalistQuarterfinalis

    UWB orthogonal pulse design using Sturm–Liouville boundary value problem

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    The problem of designing UWB pulses which meet specific spectrum requirements is usually treated by filtering common pulses such as Gaussian doublets, modified Hermite polynomials and wavelets. When there is the need to have a number of orthogonal pulses (e.g., in a multiuser scenario), a naive approach is to filter all the members of an orthogonal set, which is likely to destroy their orthogonality property. In this paper, we study the design of a set of pulses that simultaneously satisfy the orthogonality property and spectrum requirements. Our design is based on the eigenfunctions of Sturm–Liouville boundary value problems. Indeed, we introduce Sturm–Liouville differential equations for which the eigenfunctions meet the FCC mask constraints. Computer simulation results show that all such waveforms occupy almost 55% of the allowed spectrum (utilization efficiency). A comparison of the proposed method with some conventional techniques of orthogonal UWB pulse generation will demonstrate the advantages of the new proposal.Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Team Bart De Schutte

    Philip C. Jessup International Law Moot Court Competition, Quarterfinalist 2018

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    - 2018 Philip C. Jessup International Law Moot Court Competition Quarterfinalist U.S. Rocky Mountain Regional Hosted by University of Denver Sturm College of LawQuarterfinalistL-R: Seyi Olowolafe, Tristan Thomas, Ashley Dowd, Matthew Winter, Sonya Herridge, Andrew Almodov

    Philip C. Jessup International Law Moot Court Competition, Quarterfinalist 2017

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    - 2017 Philip C. Jessup International Moot Court Competition QUARTER-FINALIST U.S. Rocky Mountain Regional Hosted by University of Denver Sturm College of LawQuarterfinalistL-R: Tristan Thomas, Matthew Winter, Shayla Slaymaker, Chelsey Kenney, John Densberger, Ashley Dow

    „Befreiteste Form“. Die Nietzscherezeption in der Zeitschrift: Der STURM (1910-1932)

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    “befreiteste Form”: Nietzsche reception in the journal DER STURM. The intense and diverse reception of Nietzsche in the avant-garde journal DER STURM has not been reviewed to a large extent yet. Focusing the goals, semantics, and keynotes of the authors of DER STURM, the article examines Nietzsche’s impact on cultural criticism, aesthetics, poetics, and regarding artistic practice. Thereby, it shows that Nietzsche primarily shapes the aesthetics of modernity as a master of the artistic form

    A general unknown screening for drugs and toxic compounds in human serum

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    Screening for a wide range of drugs and toxic compounds in biological samples is an important task for forensic and clinical toxicological laboratories. Our object was to develop a method to detect and identify a wide range of compounds by using HPLCDAD and LC-MS. A solid-phase extraction procedure using polymer-based columns was developed for the HPLC-DAD procedure. The extraction method appeared very universal. Ninteyfour of 100 drugs were extracted with a recovery of more than 50%. For the LC-MS procedure, the Prospekt solid-phase extraction was chosen for its ability to be linked to the atmospheric pressure chemical ionisation (APCI) ion source. With this procedure all of the tested drugs with LC-MS were successfully extracted. Hundred compounds from a variety of classes were investigated, if they can be identified and detected at low toxic serum concentration. Limits of detection were determined in spiked serum samples. It was found that HPLC-DAD was able to detect 61 out of 100 compounds with our procedure at low toxic serum concentration. The limit of detection (LOD) for the majority of the tested drugs (76%) was ≤ 1’000 ng/mL. Drugs and toxic compounds were detected by comparison of the retention time and UV spectra with references compounds stored in a library. The LC-MS instrument was operated in the positive and in the negative mode using datadependent acquisition. Tandem mass spectrometry (MS-MS) was applied to identify toxicologically relevant substances in serum. An application program was created in order to detect automatically the unknown compounds. Drugs and metabolites were identified on the basis of their relative retention times, pseudo-molecular ions and fragment ions. A total of more than 400 spectra of more than 350 compounds were recorded. The corresponding relative retention times were added to the spectra in the constructed libraries (one for the positive and the other library for the negative mode). Eightyseven drugs of compounds were identified from serum using on-line solid-phase extraction with LC-MS-MS. The limit of detection (LOD) for the majority of compounds (67%) was ≤ 100 ng/mL, ranging from 10 to 4000 ng/mL. With the presented fully automated data-dependent LC-MS-MS procedure drugs can be analysed in serum with a high specificity and sensitivity. The LODs were sufficiently low to detect compounds at low toxic concentrations in serum. The integrated software drastically reduced the interpretation time. It was demonstrated that with the DDAmediated- LC-MS-MS screening approach almost all of the drugs detected by the conventional techniques as well as additional drugs were identified. This technique is useful for GUS and confirmation analysis in clinical and forensic toxicology. In general, LOD for compounds are lower with the LC-MS procedure than the HPLC procedure. For compounds not able to detect with the LC-MS procedure such as analgesics and barbiturates HPLC-DAD appeared to be the complement method

    Environment, trade, political economy and imperfect information: a survey

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    The last ten years have seen an upsurge in interest in the nexus of trade and environmental policies. In part this reflects the need to deal with major global pollution problems, and in part a concern that globalisation may have adverse impacts on the environment. Environmentalists worry that globalisation may trigger a race-to-the bottom in environmental standards. While they would like tosee upward harmonisation in environmental standards, they are sceptical about the ability of supra-national agencies to achieve this. Industrialists also raise concerns about the need for a 'level playing field' in environmental regulations because of fears about the impact of environmental regulations on competitiveness. On the other hand, developing countries question whether disputes over differences in environmental regulations simply reflect a covert form of 'green protectionism'. In this paper we review what light recent developments in economic analysis (conceptual and empirical) can shed on these concerns. We begin with conventional trade models in which government bodies have perfect information and are welfare maximisers, and show that this analysis does not provide much support for the concerns or proposed policy recommendations. We then turn to models of political economy and imperfect information to see whether they provide a better explanation for the concerns and policy recommendations
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