Part of order of service and Hebrew prayer, recommended during the revolution

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Conrad Summenhart's theory of individual rights and its medieval background

This study focuses on the theory of individual rights that the German theologian Conrad Summenhart (1455-1502) explicated in his massive work Opus septipartitum de contractibus pro foro conscientiae et theologico. The central question to be studied is: How does Summenhart understand the concept of an individual right and its immediate implications? The basic premiss of this study is that in Opus septipartitum Summenhart composed a comprehensive theory of individual rights as a contribution to the on-going medieval discourse on rights. With this rationale, the first part of the study concentrates on earlier discussions on rights as the background for Summenhart s theory. Special attention is paid to language in which right was defined in terms of power . In the fourteenth century writers like Hervaeus Natalis and William Ockham maintained that right signifies power by which the right-holder can to use material things licitly. It will also be shown how the attempts to describe what is meant by the term right became more specified and cultivated. Gerson followed the implications that the term power had in natural philosophy and attributed rights to animals and other creatures. To secure right as a normative concept, Gerson utilized the ancient ius suum cuique-principle of justice and introduced a definition in which right was seen as derived from justice. The latter part of this study makes effort to reconstructing Summenhart s theory of individual rights in three sections. The first section clarifies Summenhart s discussion of the right of the individual or the concept of an individual right. Summenhart specified Gerson s description of right as power, taking further use of the language of natural philosophy. In this respect, Summenhart s theory managed to bring an end to a particular continuity of thought that was centered upon a view in which right was understood to signify power to licit action. Perhaps the most significant feature of Summenhart s discussion was the way he explicated the implication of liberty that was present in Gerson s language of rights. Summenhart assimilated libertas with the self-mastery or dominion that in the economic context of discussion took the form of (a moderate) self-ownership. Summenhart discussion also introduced two apparent extensions to Gerson s terminology. First, Summenhart classified right as relation, and second, he equated right with dominion. It is distinctive of Summenhart s view that he took action as the primary determinant of right: Everyone has as much rights or dominion in regard to a thing, as much actions it is licit for him to exercise in regard to the thing. The second section elaborates Summenhart s discussion of the species dominion, which delivered an answer to the question of what kind of rights exist, and clarified thereby the implications of the concept of an individual right. The central feature in Summenhart s discussion was his conscious effort to systematize Gerson s language by combining classifications of dominion into a coherent whole. In this respect, his treatement of the natural dominion is emblematic. Summenhart constructed the concept of natural dominion by making use of the concepts of foundation (founded on a natural gift) and law (according to the natural law). In defining natural dominion as dominion founded on a natural gift, Summenhart attributed natural dominion to animals and even to heavenly bodies. In discussing man s natural dominion, Summenhart pointed out that the natural dominion is not sufficiently identified by its foundation, but requires further specification, which Summenhart finds in the idea that natural dominion is appropriate to the subject according to the natural law. This characterization lead him to treat God s dominion as natural dominion. Partly, this was due to Summenhart s specific understanding of the natural law, which made reasonableness as the primary criterion for the natural dominion at the expense of any metaphysical considerations. The third section clarifies Summenhart s discussion of the property rights defined by the positive human law. By delivering an account on juridical property rights Summenhart connected his philosophical and theological theory on rights to the juridical language of his times, and demonstrated that his own language of rights was compatible with current juridical terminology. Summenhart prepared his discussion of property rights with an account of the justification for private property, which gave private property a direct and strong natural law-based justification. Summenhart s discussion of the four property rights usus, usufructus, proprietas, and possession aimed at delivering a detailed report of the usage of these concepts in juridical discourse. His discussion was characterized by extensive use of the juridical source texts, which was more direct and verbal the more his discussion became entangled with the details of juridical doctrine. At the same time he promoted his own language on rights, especially by applying the idea of right as relation. He also showed recognizable effort towards systematizing juridical language related to property rights.

Ihanteena vapaaehtoisuus : Diakoniatyö Porvoon hiippakunnan seurakunnissa, erityisesti Iitin ja Tampereen rovastikunnissa vuosina 1897-1923

The Ideal of Volunteerism. An institutional approach to social welfare work in the parishes of the Diocese of Porvoo especially in the deaneries of Iitti and Tampere, Finland, in the years 1897-1923 Social welfare work (also known as diakonia) has achieved a high status in the Evangelical Lutheran Church of Finland. Since 1944, provisions of the Finnish Church Act have obliged each parish to employ at least one deacon or deaconess. This study sets out to examine the background and development of social welfare work in the Evangelical Lutheran Church of Finland from the 1890s to the 1920s, by which time social welfare work had become an established practice in the Church. The study investigates the development of social welfare work on the level of parishes. The main source material was collected from sixteen parishes in the Diocese of Porvoo especially in the deaneries of Iitti and Tampere. In the 1890s, two approaches were used in church social work in Finland. The dioceses of Kuopio, Savonlinna and Turku pursued a congregational approach to social work, while the Diocese of Porvoo employed an institutional approach, mainly because of the influence of Bishop Herman Råbergh. This study charts the formation of church social work in Finnish parishes, which took place during a period of tension between the two approaches. The institutional approach to church social work adopted by the Diocese of Porvoo was based on the German system of Asisters= houses@, in which deaconess institutes sent parish sisters to serve congregations. The parish or, in many cases, a separate association dedicated to church social work paid an annual fee to the deaconess institute, which took care of the parish sisters in old age. In the institutional approach, volunteers were recruited to carry out church social work. It was considered as inappropriate to use tax revenue or other public funding for church social work, which was supposed to be based on Christian love for one=s fellow humans and the needy, and for which only voluntary financial contributions were supposed to be used. In the congregational approach, church social work was directly based on the efforts of the parish. The approach relied on the administrative bodies of parishes and the Church, and tax revenue collected by the parishes, as well as other forms of public funding, could be used to carry out the social welfare work. The parishes employed deacons and deaconesses and paid their salaries. The approaches described above were not pursued in their ideal forms; instead, many variations existed. However, in principle, the social welfare work undertaken by the parishes of the Diocese of Porvoo was based on the institutional approach, while the congregational approach was largely employed elsewhere in Finland. Both of the approaches were viable. Parishes began to employ deacons and deaconesses as of the 1890s. The number of parishes which had hired a deacon or deaconess increased particularly in the 1910s, by which time 60% of parishes had employed one. This level was maintained until 1944 when each parish in the Evangelical Lutheran Church of Finland was obliged to employ a deacon or deaconess. Deaconesses usually worked as travelling nurses. The autonomous status of Finland as part of the Russian Empire did not give Finns the right to develop legislation on social affairs and health care. Consequently, the legislation process did not begin until Finland gained its independence in 1917. The social welfare work carried out by parishes and a number of voluntary organisations satisfied the emerging need for medical treatment in Finnish society. Neither the government nor the municipalities had sufficient resources to provide this treatment. Based on the ideal of volunteerism, the institutional social work practiced in the Diocese of Porvoo ran into serious difficulties at the end of the First World War. Because of severe inflation, prices began to rise as of 1915 and tripled in 1917-1918. During the same period, Finnish society went through a deep crisis which escalated into Civil War in spring 1918. This period of economic and social turmoil marked a turning-point which led to a weakening of the status of institutional social work in parishes. Voluntary efforts were no longer sufficient to maintain the practice. In contrast, congregational social work, which was based on public funding, was able to cope with the changes and survived the crisis. The approach to social work adopted by the Diocese of Porvoo turned out to be no more than a brief detour in the history of social work in the Evangelical Lutheran Church of Finland. At the start of the 1920s, the two approaches were integrated into a common vision for establishing church social work as a statutory practice in parishes.

Abstract of subject index of New York State Library, Part 1

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Literacy, security, governmentality: Defining spaces, managing populations – How has education become part of whole of government security strategy?

In this paper I conduct a Foucauldian discourse analysis of a political speech given by Brendon Nelson in 2006 when the Australian Minister for Defence in the Howard Coalition Government. The speech connects conceptualisations of terror, globalization, education and literacy as part of a whole of government security strategy. The analysis examines this speech as an example of a liberal way of governing the conduct of diverse and unpredictable populations. My analysis suggests that the apparatus of government has been strategically used in order to biopolitically contain the rise of complex social forces and protect a set of homogenous cultural values. The purposes of education and uses of literacy are seen as instruments for the inscription of a coded set of values understood to be synonymous with civil society.

EU Multi-level Governance in the Making - The Community Initiative LEADER+ in Finland and Germany

In order to fully understand the process of European integration it is of paramount importance to consider developments at the sub-national and local level. EU integration scholars shifted their attention to the local level only at the beginning of the 1990s with the concept of multi-level governance (MLG). While MLG is the first concept to scrutinise the position of local levels of public administration and other actors within the EU polity, I perceive it as too optimistic in the degree of influence it ascribes to local levels. Thus, learning from and combining MLG with other concepts, such as structural constructivism, helps to reveal some of the hidden aspects of EU integration and paint a more realistic picture of multi-level interaction. This thesis also answers the call for more case studies in order to conceptualise MLG further. After a critical study of theories and concepts of European integration, above all, MLG, I will analyse sub-national and local government in Finland and Germany. I show how the sub-national level and local governments are embedded in the EU s multi-level structure of governance and how, through EU integration, those levels have been empowered but also how their scope of action has partially decreased. After theoretical and institutional contextualisation, I present the results of my empirical study of the EU s Community Initiative LEADER+. LEADER stands for Liaison Entre Actions de Développement de l'Économie Rurale , and aims at improving the economic conditions in Europe s rural areas. I was interested in how different actors construct and shape EU financed rural development, especially in how local actors organised in so-called local action groups (LAGs) cooperate with other administrative units within the LEADER+ administrative chain. I also examined intra-institutional relations within those groups, in order to find out who are the most influential and powerful actors within them. Empirical data on the Finnish and German LAGs was first gathered through a survey, which was then supplemented and completed by interviewing LAG members, LAG-managers, several civil servants from Finnish and German decision-making and managing authorities and a civil servant from the EU Commission. My main argument is that in both Germany and Finland, the Community Initiative LEADER+ offered a space for multi-level interaction and local-level involvement, a space that on the one hand consists of highly motivated people actively contributing to the improvement of the quality of life and economy in Europe s countryside but which is dependent and also restricted by national administrative practices, implementation approaches and cultures on the other. In Finland, the principle of tri-partition (kolmikantaperiaatte) in organising the executive committees of LAGs is very noticeable. In comparison to Germany, for instance, the representation of public administration in those committees is much more limited due to this principle. Furthermore, the mobilisation of local residents and the bringing together of actors from the local area with different social and institutional backgrounds to become an active part of LEADER+ was more successful in Finland than in Germany. Tri-partition as applied in Finland should serve as a model for similar policies in other EU member states. EU integration changed the formal and informal inter-institutional relations linking the different levels of government. The third sector including non-governmental institutions and interest groups gained access to policy-making processes and increasingly interact with government institutions at all levels of public administration. These developments do not necessarily result in the empowering of the local level.

Studies of phosphazenes. Part I. Reactions of octachlorocyclotetraphosphazatetraene with ethylamine

The reaction of octachlorocyclotetraphosphazatetraene, N4P4Cl8, with ethylamine has been investigated. Seven derivatives, N4P4Cl8–n(NHEt)n[n= 1, 2 (two isomers), 3, 4 (two isomers), and 8] have been isolated and their structures established by 1H and 31P n.m.r. spectroscopy. A non-geminal chlorine atom replacement scheme is observed. Attempts to prepare penta- or hexa-ethylamino derivatives were unsuccessful: only sticky, non-crystalline resins were obtained from 1 : 10 or 1 : 12 reactions. The preparation and n.m.r. spectroscopic data of mixed ethylamino(methoxy)-derivatives. N4P4(NHEt)–8-n(OMe)n[n= 6, 4 (two isomers)], and an ethylamino-(dimethylamino)-derivative, N4P4(NHEt)2(NMe2)6, are generally consistent with the proposed structures. The reaction pattern is discussed.

Itsenäisen Suomen puolesta : Sotilaskomitea 1915-1918

For Independent Finland. The Military Committee 1915–1918 In the course of the First World War, several organizations were founded with the purpose of making Finland independent or, at least, restoring her autonomous status. The Military Committee was the most significant active independence organization in Finland in the First World War, in addition to the activist student movement, i.e., the Jaeger Movement. The Military Committee was an organization founded in 1915 by officers who had attended the Hamina Cadet School, with the goal of creating a national army for a liberation war against the Russian troops. It was believed that the liberation war should succeed only with the help of the German Army. With the situation in society continually tensing up in the autumn 1917, the Military Committee also had to figure on the possibility of a Civil War. The activities of the Military Committee started in the early part of 1915 when they were still small-scale, but they gained significant momentum after the Russian Revolution in March 1917. In January 1918, the Military Committee formed the general staff for the White Army, the Senate’s troops. The independence-related activities of the Hamina cadets in the years of the First World War were more extensive and multifaceted than has been believed heretofore. The work of the Military Committee was divided into preparations for a liberation war in Finland, on one hand, and in Stockholm and Berlin, on the other hand. In Finland, the Military Committee took part in intelligence gathering for Germany and in supporting the recruiting Jaegers, and later in founding the civil guard organization, in solving the law and order authorities issue, and finally in selecting the Commander-in-Chief for the Senate’s troops. The member of the Military Committee, especially Captain Hannes Ignatius of the Cavalry contributed greatly to the drafting of the independence activists’ national action plan in Stockholm in May 1917. This plan preceded the formation of the civil guard organization. The Military Committee’s role in founding the civil guards was initially minor, but in the fall of 1917, the Military Committee started to finance the activities of the civil guards, named several former officers as commanders of the civil guards and finally overtook the entire civil guard movement. In Stockholm and Berlin, the representatives of the Military Committee were in active contact with both the high command of the German Army and with the representatives of the Swedish Army. Colonel Nikolai Mexmontan, who was a representative of the Military Committee, collaborated with Swedish officers and Jaeger officers in Stockholm in coming up with comprehensive and detailed plans for starting the Liberation War. Under Mexmontan’s leadership, there were serious negotiations to enter into a confederation with Germany. Lieutenant Colonel Wilhelm Thesleff, on the other hand, became the commander of the Jaeger Battalion 27. The influence and importance of the Military Committee came to the forefront in independent and conflict-torn Finland. The Military Committee became a Senate committee on the 7th of January 1918, with its chairman, for all practical purposes, as the Commander-in-Chief in an eventual war. Lieutenant General Claes Charpentier was the chairman of the Military Committee from mid-December 1917 onwards, but on the 15th of January 1918 he had to resign in favour of Lieutenant General Gustaf Mannerheim. Soon after that, Mannerheim got an order from the chairman of the Senate P. E. Svinhufvud to organize and assume the leadership of the law and order authorities. The chairman of the Military Committee became the Commander-in-Chief of the Senate troops in January 1918, and the Military Committee became the Commander-in-Chief’s general staff. The Military Committee had turned from a clandestine organization into the first general staff of the independent Finnish Army.

Essays in Philosophical Moral Psychology

The dissertation consists of four essays and a comprehensive introduction that discusses the topics, methods, and most prominent theories of philosophical moral psychology. I distinguish three main questions: What are the essential features of moral thinking? What are the psychological conditions of moral responsibility? And finally, what are the consequences of empirical facts about human nature to normative ethics? Each of the three last articles focuses on one of these issues. The first essay and part of the introduction are dedicated to methodological questions, in particular the relationship between empirical (social) psychology and philosophy. I reject recent attempts to understand the nature of morality on the basis of empirical research. One characteristic feature of moral thinking is its practical clout: if we regard an action as morally wrong, we either refrain from doing it even against our desires and interests, or else feel shame or guilt. Moral views seem to have a conceptual connection to motivation and emotions – roughly speaking, we can’t conceive of someone genuinely disapproving an action, but nonetheless doing it without any inner motivational conflict or regret. This conceptual thesis in moral psychology is called (judgment) internalism. It implies, among other things, that psychopaths cannot make moral judgments to the extent that they are incapable of corresponding motivation and emotion, even if they might say largely the words we would expect. Is internalism true? Recently, there has been an explosion of interest in so-called experimental philosophy, which is a methodological view according to which claims about conceptual truths that appeal to our intuitions should be tested by way of surveys presented to ordinary language users. One experimental result is that the majority of people are willing to grant that psychopaths make moral judgments, which challenges internalism. In the first article, ‘The Rise and Fall of Experimental Philosophy’, I argue that these results pose no real threat to internalism, since experimental philosophy is based on a too simple conception of the relationship between language use and concepts. Only the reactions of competent users in pragmatically neutral and otherwise conducive circumstances yield evidence about conceptual truths, and such robust intuitions remain inaccessible to surveys for reasons of principle. The epistemology of folk concepts must still be based on Socratic dialogue and critical reflection, whose character and authority I discuss at the end of the paper. The internal connection between moral judgment and motivation led many metaethicists in the past century to believe along Humean lines that judgment itself consists in a pro-attitude rather than a belief. This expressivist view, as it is called these days, has far-reaching consequences in metaethics. In the second essay I argue that perhaps the most sophisticated form of contemporary expressivism, Allan Gibbard’s norm-expressivism, according to which moral judgments are decisions or contingency plans, is implausible from the perspective of the theory of action. In certain circumstances it is possible to think that something is morally required of one without deciding to do so. Morality is not a matter of the will. Instead, I sketch on the basis of Robert Brandom’s inferentialist semantics a weak form of judgment internalism, according to which the content of moral judgment is determined by a commitment to a particular kind of practical reasoning. The last two essays in the dissertation emphasize the role of mutual recognition in the development and maintenance of responsible and autonomous moral agency. I defend a compatibilist view of autonomy, according to which agents who are unable to recognize right and wrong or act accordingly are not responsible for their actions – it is not fair to praise or blame them, since they lacked the relevant capacity to do otherwise. Conversely, autonomy demands an ability to recognize reasons and act on them. But as a long tradition in German moral philosophy whose best-known contemporary representative is Axel Honneth has it, both being aware of reasons and acting on them requires also the right sort of higher-order attitudes toward the self. Without self-respect and self-confidence we remain at the mercy of external pressures, even if we have the necessary normative competence. These attitudes toward the self, in turn, are formed through mutual recognition – we value ourselves when those who we value value us. Thus, standing in the right sort of relations of recognition is indirectly necessary for autonomy and moral responsibility. Recognition and valuing are concretely manifest in actions and institutions, whose practices make possible participation on an equal footing. Seeing this opens the way for a kind of normative social criticism that is grounded in the value of freedom and automomy, but is not limited to defending negative rights. It thus offers a new way to bridge the gap between liberalism and communitarianism.

The Restless Love of Thinking : The Concept Liebe in Hegel's Philosophy

The German philosopher G.W.F.Hegel (1770–1831) is best known for his idealistic system philosophy, his concept of spirit [Geist] and for his dictum that the existing and the rational overlap. This thesis offers a new perspective: it examines the working of the concept ‘love’ in Hegel’s philosophy by looking at the contexts and function he puts it to, from his earliest writings to the very last lectures he gave. The starting point of the inquiry is that he applied the concept Liebe to different contexts for different purposes, but each time to provide an answer to a specific philosophical problem. His formulation, reformulation and use of ‘love’ give possible solutions to problems the solving of which was crucial to the development of his thought as a whole. The study is divided into three parts, each analysing the different problems and solutions to which Hegel applied the concept of love. The first part, "Love, morality and ethical life", examines these interconnected themes in Hegel’s early work. The main questions he addressed during this period concerned how to unite Kant’s philosophy and the Greek ideal of the good life. In this context, the concept ‘love’ did three things. First, it served to formulate his grounding idea of the relation between unity and difference, or the manifold. Secondly, it was the key to his attempt to base an ideal folk religion on Christianity interpreted as a religion of love. Finally, it provided the means to criticise Kant’s moral philosophy. The question of the moral value of love helped Hegel to break away from Kant’s thought and develop his own theory about love and ethical life. The second part of the study, "Love and the political realm", considers the way 'Liebe' functions in connection with questions concerning the community and political life in Hegel’s work. In addition to questioning the universal applicability of the concept of recognition as a key to his theory of social relations, the chapters focus on gender politics and the way he conceptualised the gender category ‘woman’ through the concept ‘love’. Another line of inquiry is the way the figure of Antigone was used to conceptualise the differentiated spheres of action for men and women, and the part ‘love’ played in Hegel’s description of Antigone’s motives. Thirdly, Hegel’s analogy of the family and the state and the way ‘love’ functions in an attempt to promote understanding of the relation between citizens and the state are examined. The third and final part of the study, "Love as absolute spirit", focuses on ‘love’ within Hegel’s systemic thought and the way he continued to characterise Geist through the language of Liebe up until and including his very last works. It is shown how Liebe functions in his hierarchical organisation of the domains of art, religion and philosophy, and how both art and religion end up in similar structural positions with regard to philosophy. One recurrent theme in the third part is Hegel’s complex relation to Romantic thought. Another line of investigation is how he reconstructed Christianity as a religion of love in his mature work. In striking contrast to his early thought, in his last works Hegel introduced a new concept of love that incorporated negativity, and that could also function as the root of political action.

A Nonmoving-Part Fluidic Display Using Photoelastic Effect

Digital fluidic and pneumatic systems incorporate displays for the presentation of information to the operator. Displays reported so far for such systems use moving pistons, tapes, and other mechanisms leading to lower reliability. This paper describes a nonmoving part fluidic display employing the photoelastic effect. The display is pressure actuated and has a long life. When fabricated from compatible materials, this device can withstand hostile environments like nuclear radiation, vibrations, etc. The display is compact, economical and is virtually maintenance free. The display unit has been tested in the laboratory for reliability and speed of response.

Studies in terpenoids. Part XXXI. Synthesis of pyrocurzerenone, a furosesquiterpenoid from Curcuma zedoaria

7-Acetonyloxy-5-methyl--tetralone (Vc) was cyclodehydrated to 7,8-dihydro-1,5-dimethylnaphtho[2,1-b]furan-9(6H)-one (VIa), the structure of which was established by an independent synthesis from methyl 4-(4-acetonyloxy-2-methylphenyl)butyrate (IXd). Similarly, 7-acetonyloxy-2,5-dimethyl--tetralone (Vf), synthesized via 4-(5-isopropyl-4-methoxy-2-methylphenyl)-2-methylbutyric acid (XIIb) and 7-methoxy-2,5-dimethyl--tetralone (Vd), was cyclodehydrated to 7,8-dihydro-1,5,8-trimethylnaphtho[2,1-b]furan-9(6H)-one (VIb), which on reduction and dehydration furnished pyrocurzerenone (6,7-dihydro-1,5,8-trimethylnaphtho[2,1-b]furan)(I). The deisopropylation and cyclodehydration of (XIIb) to (Vd) were effected in one step by treatment with polyphosphoric acid.

Studies in terpenoids. Part XXX. Synthesis of pterosin E, a sesquiter-penoid from bracken

Pterosin E (2,5,7-trimethyl-1-oxoindan-6-ylacetic acid)(Ia), a naturally occurring sesquiterpenoid has been synthesized starting from -bromomesitylene (IIIa). Alkylation of diethyl methylmalonate with (IIIa) gave the diester (IIIb) which was converted into the cyanomethyl diester (IVb). Hydrolysis of (IVb) to the dicarboxylic acid (V) followed by its cyclodehydration gave pterosin E.

Structural studies of analgesics and their interactions. Part 4. Crystal structures of phenylbutazone and a 2 : 1 complex between phenylbutazone and piperazine

The X-ray crystal structures of 4-butyl-1,2-diphenylpyrazolidine-3,5-dione (phenylbutazone)(I). and its 2 : 1 complex (II) with piperazine have been determined by direct methods and the structures refined to R 0.096 (2 300 observed reflections measured by diffractometer) and 0.074 (2 494 observed reflections visuallyestimated). Crystals are monoclinic, space group P21/c; for (I)a= 21.695(4), b= 5.823(2), c= 27.881(4)Å, = 108.06 (10)°, Z= 8, and for (II)a= 8.048(4), b= 15.081(4), c= 15.583(7)Å, = 95.9(3)°, Z= 2. The two crystallographically independant molecules in the structure of (I) are similar except for the conformation of the butyl group, which is disordered in one of the molecules. In the pyrazolidinedione group, the two C–C bonds are single and the two C–O bonds double. The two nitrogen atoms in the five-membered ring are pyramidal with the attached phenyl groups lying on the opposite sides of the mean plane of the ring. The phenylbutazone molecule in (II) exists as a negative ion owing to deprotonation of C-4. C-4 is therefore trigonal and the orientation of the Bu group with respect to the pyrazolidinedione group is considerably different from that in (I); there is also considerable electron delocalization along the C–O and C–C bonds. These changes in geometry and electronic structure may relate to biological activity. The doubly charged cationic piperazine molecule exists in the chair form with the nitrogen atoms at the apices. The crystal structure of (II) is stabilized by ionic interactions and N–H O hydrogen bonds.

DMT of Multi-hop Cooperative Networks-Part II: Layered and Multi-Antenna Networks

We consider single-source, single-sink (ss-ss) multi-hop relay networks, with slow-fading Rayleigh links. This two part paper aims at giving explicit protocols and codes to achieve the optimal diversity-multiplexing tradeoff (DMT) of two classes of multi-hop networks: K-parallel-path (KPP) networks and Layered networks. While single-antenna KPP networks were the focus of the first part, we consider layered and multi-antenna networks in this second part. We prove that a linear DMT between the maximum diversity d(max). and the maximum multiplexing gain of 1 is achievable for single-antenna fully-connected layered networks under the half-duplex constraint. This is shown to be equal to the optimal DMT if the number of relaying layers is less than 4. For the multiple-antenna case, we provide an achievable DMT, which is significantly better than known lower bounds for half duplex networks. Along the way, we compute the DMT of parallel MIMO channels in terms of the DMT of the component channel. For arbitrary ss-ss single-antenna directed acyclic networks with full-duplex relays, we prove that a linear tradeoff between maximum diversity and maximum multiplexing gain is achievable using an amplify-and-forward (AF) protocol. Explicit short-block-length codes are provided for all the proposed protocols. Two key implications of the results in the two-part paper are that the half-duplex constraint does not necessarily entail rate loss by a factor of two as previously believed and that simple AN protocols are often sufficient to attain the best possible DMT.