14 research outputs found

    Invariants of Lie algebras extended over commutative algebras without unit

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    We establish results about the second cohomology with coefficients in the trivial module, symmetric invariant bilinear forms and derivations of a Lie algebra extended over a commutative associative algebra without unit. These results provide a simple unified approach to a number of questions treated earlier in completely separated ways: periodization of semisimple Lie algebras (Anna Larsson), derivation algebras, with prescribed semisimple part, of nilpotent Lie algebras (Benoist), and presentations of affine Kac-Moody algebras.Comment: v3: added a footnote on p.10 about a wrong derivation of the correct statemen

    Automorphism groups of N=2 superconformal super-Riemann spheres

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    In previous work, the author proved that there is a countably infinite family of N=2 superconformal equivalence classes of DeWitt N=2 superconformal super-Riemann surfaces with closed, genus-zero body. In this paper, we determine the automorphism groups for these N=2 superconformal super-Riemann surfaces, and analyze the Lie structure of these groups. Under the correspondence between N=2 superconformal and N=1 superanalytic structures, the results extend to the determination of automorphism groups of N=1 superanalytic DeWitt super-Riemann surfaces with closed, genus-zero body.Comment: Corollary 6.1 renamed a Theorem; minor adjustments. Final version; to appear in J. Pure Appl. Alg

    Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications

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    These notes are intended to provide a self-contained introduction to the basic ideas of finite dimensional Batalin-Vilkovisky (BV) formalism and its applications. A brief exposition of super- and graded geometries is also given. The BV-formalism is introduced through an odd Fourier transform and the algebraic aspects of integration theory are stressed. As a main application we consider the perturbation theory for certain finite dimensional integrals within BV-formalism. As an illustration we present a proof of the isomorphism between the graph complex and the Chevalley-Eilenberg complex of formal Hamiltonian vectors fields. We briefly discuss how these ideas can be extended to the infinite dimensional setting. These notes should be accessible to both physicists and mathematicians.Comment: 67 pages, typos corrected, published versio

    BAMarray™: Java software for Bayesian analysis of variance for microarray data

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    BACKGROUND: DNA microarrays open up a new horizon for studying the genetic determinants of disease. The high throughput nature of these arrays creates an enormous wealth of information, but also poses a challenge to data analysis. Inferential problems become even more pronounced as experimental designs used to collect data become more complex. An important example is multigroup data collected over different experimental groups, such as data collected from distinct stages of a disease process. We have developed a method specifically addressing these issues termed Bayesian ANOVA for microarrays (BAM). The BAM approach uses a special inferential regularization known as spike-and-slab shrinkage that provides an optimal balance between total false detections and total false non-detections. This translates into more reproducible differential calls. Spike and slab shrinkage is a form of regularization achieved by using information across all genes and groups simultaneously. RESULTS: BAMarray™ is a graphically oriented Java-based software package that implements the BAM method for detecting differentially expressing genes in multigroup microarray experiments (up to 256 experimental groups can be analyzed). Drop-down menus allow the user to easily select between different models and to choose various run options. BAMarray™ can also be operated in a fully automated mode with preselected run options. Tuning parameters have been preset at theoretically optimal values freeing the user from such specifications. BAMarray™ provides estimates for gene differential effects and automatically estimates data adaptive, optimal cutoff values for classifying genes into biological patterns of differential activity across experimental groups. A graphical suite is a core feature of the product and includes diagnostic plots for assessing model assumptions and interactive plots that enable tracking of prespecified gene lists to study such things as biological pathway perturbations. The user can zoom in and lasso genes of interest that can then be saved for downstream analyses. CONCLUSION: BAMarray™ is user friendly platform independent software that effectively and efficiently implements the BAM methodology. Classifying patterns of differential activity is greatly facilitated by a data adaptive cutoff rule and a graphical suite. BAMarray™ is licensed software freely available to academic institutions. More information can be found at

    The Hilltop 9-29-1967

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    This document created through a generous donation of Mr. Paul Cottonhttps://dh.howard.edu/hilltop_196070/1148/thumbnail.jp

    Co-Creation, Consolidating the Field and Highlighting New Frontiers

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    Co-­‐creation as a concept has won terrain over the past 10 years (Bhalla, 2010; Ramaswamy and Goulliart, 2010; Ramaswamy, 2011). In practice as well as in literature, co-­‐creation is climbing the agenda in relation to contemporary opportunities and challenges within management, organization design, and change initiatives. Thus, there has been a vast growth in application and conceptual development of the concept of co-­‐creation. However, there is very little research-­‐based literature on how the field of co-­‐creation has developed, and of how the concept is being established, and on the future frontiers of the concept of co-­‐creation. This paper aims to build an overview of the literature on co-­‐creation to explore what the existing literature relate to and indeed to pinpoint if any patterns or streams can be identified. The paper illustrates how the use of the concept of co-­‐creation suggests a necessity for focusing further on specific co-­‐creation related issues and challenges of significance to business and society. Thus, the paper highlights new co-­‐creation related issues, challenges, and frontiers in practice and research rather than giving answers or solutions to existing problems

    RF Location Tracking: A Modular Antenna System Implementation

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    From the Amazon Prime Air drone delivery service to the usage of unmanned aerial vehicles (UAV) in military operations, recent years have seen the development of autonomous flight technologies becoming one of the major research topics in the drone industry. Tracking the geographic position of drones is a crucial part of any autonomous flight, but the common methods of drone location tracking either have too large of an error margin or require extensive environmental setup. The aforementioned issues are major roadblocks in the advancement of autonomous flight operations. The proposed solution is a new and improved method to track the location of a drone relative to a single reference point. This method will not require any environmental setup and offers a greater degree of precision than the commonly used Global Positioning System (GPS). The designed proof of concept model, which is a completely modular and self-reliant radio-frequency (RF) based location tracking system, was built to show the viability of this new drone tracking method. The tracking system can determine the relative location of a radio-frequency source with only one receiver module. By requiring only one receiver, this tracking system eliminates the need to set up a triangulation zone. Additionally, optimizing the tracking system to generate a location from the RF telemetry signals needed in user-drone communication, the solution effectively presents an efficient manner to track a drone without the need for additional attachments. The proposed solution introduces a novel method that has the potential to vastly improve autonomous flight development and push it to full realization and fruition

    Performance Study of Local Area Network Devices in IPTV Use

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    Tässä diplomityössä tutkitaan vaihtoehtoisia tapoja ethernet -kaapeleille suorituskykyisen LAN -verkon rakentamiseen kotitalouksissa. Tarkastelun pääpaino on WLAN -laitteissa, mutta mukaan on otettu myös yksi sähköjohtoa ja yksi antennikaapelia siirtotienään käyttävää laitetta. Tarkoituksena on selvittää laitteiden suorituskyvyn rajat ja tutkia niiden sopivuutta erityisesti IPTV -signaalin välittämiseen. Laitteiden olisi pystyttävä luomaan suorituskykyinen ja ennen kaikkea luotettava yhteys, mikä kattaa keskivertokokoisen huoneiston. Nopeat internetyhteydet yleistyvät ja tuovat tullessaan uusia mahdollisuuksia palvelujen tarjoajille. Ne pystyvät tarjoamaan asiakkailleen uusia palveluja, kuten internetvälitteisiä puheluja, televisiokanavia ja videovuokrausta. Uusien palveluiden täysimittaiseen hyödyntämiseen ei enää riitä se, että internetyhteys tuodaan vain tietokoneeseen. Myös televisio ja puhelin pitäisi saada yhdistettyä internetiin. Ongelma voidaan ratkaista ethernet -kaapeleiden avulla, mutta kaapeleiden asentaminen pitkin huoneistoa ei ole aina se esteettisin ratkaisu. Laitteiden suorituskykyä tutkitaan mittaamalla niiden tiedonsiirtonopeuksia eri protokollien ja siirtoteiden kanssa. Tarkoituksena on kartoittaa mahdollisia ongelma-alueita ja pohtia niiden syitä. Lopullisena päämääränä on nimetä testatuista laitteista ne, jotka soveltuvat IPTV -signaalien siirtämiseen.This thesis includes a study of alternative ways to build a fast LAN without Ethernet ca-bles into a common household. The main focus is in the WLAN products but also one product that uses power lines and one product that uses antenna cables to transmit information are included in the study. The purpose is to find out the performance limits of the devices and study their usability especially for the IPTV signal transmission. The devices should be able to create a high performance and reliable connection which should cover a common household. Fast Internet connections are becoming more and more common. This gives the Internet service providers possibilities to offer new services to the customers. For example, they can relay phone calls, television channels or rented videos to the customers via the Inter-net connections. This means that the customers have to connect not only their computers to the Internet but also their phone and televisions as well. This problem can be solved with the Ethernet cables but in many case it is not the most aesthetic solution. The devices performance is studied with the series of tests that measures their capabilities to transmit information while using different transmission protocols and paths. The purpose is to find out the possible trouble spots and to find the explanations to them. The final goal is to name the devices which can be used to transmit IPTV signals

    Transcriptional Profiling of Hypoxia-Regulated Non-coding RNAs in Human Primary Endothelial Cells

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    Hypoxia occurs in human atherosclerotic lesions and has multiple adverse effects on endothelial cell metabolism. Recently, key roles of long non-coding RNAs (lncRNAs) in the development of atherosclerosis have begun to emerge. In this study, we investigate the lncRNA profiles of human umbilical vein endothelial cells subjected to hypoxia using global run-on sequencing (GRO-Seq). We demonstrate that hypoxia regulates the nascent transcription of ~1800 lncRNAs. Interestingly, we uncover evidence that promoter-associated lncRNAs are more likely to be induced by hypoxia compared to enhancer-associated lncRNAs, which exhibit an equal distribution of up- and downregulated transcripts. We also demonstrate that hypoxia leads to a significant induction in the activity of super-enhancers next to transcription factors and other genes implicated in angiogenesis, cell survival and adhesion, whereas super-enhancers near several negative regulators of angiogenesis were repressed. Despite the majority of lncRNAs exhibiting low detection in RNA-Seq, a subset of lncRNAs were expressed at comparable levels to mRNAs. Among these, MALAT1, HYMAI, LOC730101, KIAA1656, and LOC339803 were found differentially expressed in human atherosclerotic lesions, compared to normal vascular tissue, and may thus serve as potential biomarkers for lesion hypoxia
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