Inverse problem for the wave equation : partial data and novel boundary sources

An inverse problem for the wave equation is a mathematical formulation of the problem to convert measurements of sound waves to information about the wave speed governing the propagation of the waves. This doctoral thesis extends the theory on the inverse problems for the wave equation in cases with partial measurement data and also considers detection of discontinuous interfaces in the wave speed. A possible application of the theory is obstetric sonography in which ultrasound measurements are transformed into an image of the fetus in its mother's uterus. The wave speed inside the body can not be directly observed but sound waves can be produced outside the body and their echoes from the body can be recorded. The present work contains five research articles. In the first and the fifth articles we show that it is possible to determine the wave speed uniquely by using far apart sound sources and receivers. This extends a previously known result which requires the sound waves to be produced and recorded in the same place. Our result is motivated by a possible application to reflection seismology which seeks to create an image of the Earth s crust from recording of echoes stimulated for example by explosions. For this purpose, the receivers can not typically lie near the powerful sound sources. In the second article we present a sound source that allows us to recover many essential features of the wave speed from the echo produced by the source. Moreover, these features are known to determine the wave speed under certain geometric assumptions. Previously known results permitted the same features to be recovered only by sequential measurement of echoes produced by multiple different sources. The reduced number of measurements could increase the number possible applications of acoustic probing. In the third and fourth articles we develop an acoustic probing method to locate discontinuous interfaces in the wave speed. These interfaces typically correspond to interfaces between different materials and their locations are of interest in many applications. There are many previous approaches to this problem but none of them exploits sound sources varying freely in time. Our use of more variable sources could allow more robust implementation of the probing.

Juoksuhaudoista yhteiskuntaan : Vuosien 1965-1975 sotilaallista maanpuolustusta ja puolustusvoimia koskevan joukkotiedotuksen diskursiivinen tarkastelu

The Finnish society developed rapidly in the 1960´s and 1970´s. This was result of international trends. Development of education, urbanization and wide organization of society increased discontent towards prevailing social structure and towards the power elite. Development of technology created possibility to present radical perspectives in mass media. This caused widely spread discussions dividing opinions. The purpose of this thesis was to complement research on national defence and the Finnish Defence Forces especially between years 1965 and 1975. The task of research was to clarify how changes in society and how the significance of this change was interpreted in public discussion about national defence and development of the Defence Forces. The most essential points for this thesis turned out to be discourses structured from public discussion. Main research material consisted of approximately 35000 news, editorials, articles and opinions presented in mass media supplemented by literature, committee reports and other archival sources. Frame of reference for this thesis is based on relativistic worldview. According to this, social reality is relative and there is no single truth. Environment has significant influence on the issue how knowledge and truth are formed. Data analysis was based on critical discourse. The key objective was to clarify the effects of broad changes in society using discursive methods. One essential goal was to form order of discourse using linguistic analysis and also connect discourses to wider sociocultural custom. On this thesis I came to the conclusion that on the review period there were five significant ensembles of discourse. They consisted of several discussions focused on different themes. The discourse of official security policy aimed to define national defence and the position of the Defence Forces as parts of foreign policy. Foreign policy is often perceived as the most significant part of security policy. Historical memory, geographical position of Finland and also the state contracts, changes in international warfare, tasks of the Defence Forces and increasing critic of national defence and the difference in thinking between generations formed the discourse of security policy. In the discourse of the liability to military service, the issue was about individual responsibility to society and national defence. Resisters and unarmed defence demands, encouraged by international examples were the themes. The discourse pointed out how mass media is used to influence and forced the Defence Forces to develop the practices in public information. The discourses of democracy and politics were closer to internal development of the Defence Forces to integrate more into society. The discourse of democracy focused in changing power relationships of the Defence Forces that were known as authoritarian. Issues like conscript and personnel union activity had lot of similarities to general social development. The discourse of politics presented how the Defence Forces were pushed towards parliamentary decision making. The personnel was granted the same rights as other population. Themes related to the discourse on the will to national defence were development of mental national defence, increasing education on national defence and creation of more open public information culture. According to discourses presented above I can state, that the position of the Defence Forces in society was changed between years 1965-1975. This change was advanced by the Defence Forces reformed attitude towards mass media and public information in general. Active participation in public information important became important instead of only answering topics. This positive development created an atmosphere, that was easier for the public to understand and create own pictures of the armed forces. Due to this, I can describe that the defenders and supporters of the armed forces were stuck in their trenches, until discussions presented in discourses and themes developed the Defence Forces to be better fitting part of society. Key words; society, national defence, Defence Forces, discourse, mass media, security policy, liability to military service, conscription, democracy

Deutschland, Deutschland über alles : Tysk föreningsverksamhet i Finland och Sverige 1910-1950

The voluntary associations dealt with in this dissertation were ethnic clubs and societies promoting the interests of German immigrants in Finland and Sweden. The associations were founded at the end of the 19th century as well as at the beginning of the 20th century during a time in which migration was high, the civil society grew rapidly and nationalism flourished. The work includes over 70 different associations in Finland and Sweden with a number of members ranging from ten to at most 2, 500. The largest and most important associations were situated in Helsinki and Stockholm where also most of the German immigrants lived. The main aim of this work is to explore to what extent and how the changes in government in Germany during 1910 to 1950 were reflected in the structures and participants, financial resources and meeting places, networks and activities of the German associations in Finland and Sweden. The study also deals with how a collective German national identity was created within the German associations. The period between 1910 and 1950 has been described by Hobsbawm as the apogee of nationalism. Nationalism and transnationalism are therefore key elements in the work. Additionally the research deals with theories about associations, networking and identity. The analysis is mostly based on minutes of meetings, descriptions of festivities, annual reports and historical outlines about the associations. Archival sources from the German legations, the German Foreign Office, and Finnish and Swedish officials such as the police and the Foreign Offices are also used. The study shows that the collective national identity in the associations during the Weimar Republic mostly went back to the time of the Wilhelmine Empire. It is argued that this fact, the cultural propaganda and the aims of the Weimar Republic to strengthen the contacts between Germany and the German associations abroad, and the role of the German legations and envoys finally helped the small groups of NSDAP to infiltrate, systematically coordinate and finally centralize the German associational life in Finland and Sweden. The Gleichschaltung did not go as smoothly as the party wanted, though. There was a small but consistent opposition that continued to exist in Finland until 1941 and in Sweden until 1945. The collective national identity was displayed much more in Sweden than in Finland, where the associations kept a lower profile. The reasons for the profile differences can be found in the smaller number of German immigrants in Finland and the greater German propaganda in Sweden, but also in the Finnish association act from 1919 and the changes in it during the 1920s and 1930s. Finally, the research shows how the loss of two world wars influenced the associations. It argues that 1918 made the German associations more vulnerable to influence from Germany, whereas 1945 brought the associational life back to where it once started as welfare, recreational and school associations.

Paradox between democracy and security- case study on Pakistan

Pro gradu-tutkielma tutkii demokratian ja turvallisuuden paradoksia Pakistanissa esitellen kuusi tekijää, jotka vaikuttavat kyseiseen paradoksiin. Näitä tekijöitä ovat historiallinen kehitys; eliittihallinto; taloudellinen kehitys; Pakistanin poliittisten tekijöiden demokratian eri määritelmät; opetuksen puuttuminen; ja valtataistelu hallituksen, armeijan, tiedustelupalvelun, oikeusjärjestelmän, poliittisten puolueiden sekä eri heimojen, uskonnollisten ja etnisten ryhmien välillä. Tutkimus tarkastelee myös sitä miten nämä tekijät vaikuttavat demokratian kehitykseen Pakistanissa. Keskeinen argumentti on, että länsimainen demokratia ei esiinny eikä toimi Pakistanissa vallitsevissa oloissa, etenkin historiallisen kehityksen ja ulkoisen turvallisuuden takia. Pro gradu-tutkielma käyttää sekundäärisiä lähteitä, kuten kirjoja, artikkeleita, maaraportteja, kommentaareja sekä omiin kokemuksiin perustuvia havaintoja Pakistanin matkalta 2010-2011. Keskeiset teoriat gradussa ovat Guillermo O’ Donnelin delegaattidemokratia sekä Duncan McCargon eliittihallintoteoria, jotka yhdessä selittävät historiallista kehitystä ja eliittihallinnon dynamiikkaa, mitkä johtavat paradoksiin. Kautta historian armeija on hallinnut Pakistania, ja siviilihallinto on ainoastaan neljä kertaa onnistunut olemaan vallassa, mutta silloinkin siviilihallinto päättyi korruptioväitteisiin tai armeijan vallankaappaukseen. Armeijahallinnoille on luonteenomaista hyvät suhteet USA:n, positiivinen taloudellinen kehitys ja vakaus, kun taas siviilihallinnot ovat epävakaita ja korruptoituneita. Tämä kehitys on paradoksin tausta, joka rakentuu turvallisuuspoliittisen tilanteen pohjalle eli hallitusten ja muiden tekijöiden yritykseen löytää vastapaino Intian uhalle. Tämä on ollut keskeinen huoli kelle tahansa poliittiselle päättäjälle itsenäisyydestä lähtien. Loputon valtataistelu eri poliittisten tekijöiden kesken sekä eliittihallinto pitävät yllä paradoksia, koska eliitit ovat kiinnostuneempia oman valtansa säilyttämisestä kuin kansan tahdon huomioonottamisesta. Koska valtaosa ihmisistä ei ole koulutettuja, he ovat paljolti kiinnostuneita omasta selviytymisestään, ja tämän takia sekä kansa että eliitit suosivat armeijahallintoa, koska se tuo vakautta ja taloudellista kehitystä. Sen vuoksi vallitsevissa oloissa demokratian tulevaisuus Pakistanissa näyttää huonolta, koska liberaalidemokratian vaatimukset eivät täyty puoliksi vapaan oikeussysteemin, puoliksi vapaan lehdistön, valtavan korruption ja monien ihmisoikeusloukkauksien takia unohtamatta armeijan ja tiedustelupalvelun sekaantumista siviilihallintoon.

An Analysis of the Concept of Citizenship: Legal, Political and Social Dimensions

The thesis aims at analyzing concept of citizenship in political philosophy. The concept of citizenship is a complex one: it does not have a definitive explication, but it nevertheless is a very important category in contemporary world. Citizenship is a powerful ideal, and often the way a person is treated depends on whether he or she has the status of a citizen. Citizenship includes protection of a person’s rights both at home and abroad. It entails legal, political and social dimension: the legal status as a full member of society, the recognition of that status by fellow citizens and acting as a member of society. The thesis discusses these three dimensions. Its objective is to show how all of them, despite being insufficient in some aspects, reach something important about the concept. The main sources of the thesis are Civic Republicanism by Iseult Honohan (Routledge 2002), Republicanism by Philip Pettit (Clarendon Press 1997), and Taking Rights Seriously by Ronald Dworkin (1997). In addition, the historical part of the thesis relies mainly on the works of Aristotle, Immanuel Kant, Adam Smith, Quentin Skinner, James Pocock and James Tully. The writings of Will Kymlicka, John Rawls, Chantal Mouffe, and Shane Phelan are referred to in the presentation and critique of the liberal tradition of thought. Hannah Arendt and Seyla Benhabib’s analysis of Arendt’s philosophy both address the problematic relations between human rights and nation-states as the main guarantors of rights. The chapter on group rights relies on Peter Jones’ account of corporate and collective rights, after which I continue to Seumas Miller’s essay on the (liberal) account of group rights and their relation to the concept of citizenship. Republicanism and Political Theory (2002) edited by Cécile Laborde and John Maynor is also references. David Miller and Maurizio Viroli represent the more “rooted” version of republicanism. The thesis argues that the full concept of citizenship should be seen as containing legal, political and social dimensions. The concept can be viewed from all of these three angles. The first means that citizenship is connected with certain rights, like the right to vote or stand for election, the right to property and so on. In most societies, the law guarantees these rights to every citizen. Then there is also the social dimension, which can be said to be as important as the legal one: the recognition of equality and identities of others. Finally, there is the political dimension, meaning the importance of citizens’ participation in the society, which is discussed in connection with the contemporary account of republicanism. All these issues are discussed from the point of view of groups demanding for group-specific rights and equal recognition. The challenge with these three aspects of citizenship is, however, that they are difficult to discuss under one heading. Different theories or discourses of citizenship each approach the subject from different starting points, which make reconciling them sometimes hard. The fundamental questions theories try to answer may differ radically depending on the theory. Nevertheless, in order to get the whole image of what the citizenship discourses are about all the aspects deserve to be taken into account.