Numerical studies of colloidal systems

The interplay of hydrodynamic and electrostatic forces is of great importance for the understanding of colloidal dispersions. Theoretical descriptions are often based on the so called standard electrokinetic model. This Mean Field approach combines the Stokes equation for the hydrodynamic flow field, the Poisson equation for electrostatics and a continuity equation describing the evolution of the ion concentration fields. In the first part of this thesis a new lattice method is presented in order to efficiently solve the set of non-linear equations for a charge-stabilized colloidal dispersion in the presence of an external electric field. Within this framework, the research is mainly focused on the calculation of the electrophoretic mobility. Since this transport coefficient is independent of the electric field only for small driving, the algorithm is based upon a linearization of the governing equations. The zeroth order is the well known Poisson-Boltzmann theory and the first order is a coupled set of linear equations. Furthermore, this set of equations is divided into several subproblems. A specialized solver for each subproblem is developed, and various tests and applications are discussed for every particular method. Finally, all solvers are combined in an iterative procedure and applied to several interesting questions, for example, the effect of the screening mechanism on the electrophoretic mobility or the charge dependence of the field-induced dipole moment and ion clouds surrounding a weakly charged sphere. In the second part a quantitative data analysis method is developed for a new experimental approach, known as "Total Internal Reflection Fluorescence Cross-Correlation Spectroscopy" (TIR-FCCS). The TIR-FCCS setup is an optical method using fluorescent colloidal particles to analyze the flow field close to a solid-fluid interface. The interpretation of the experimental results requires a theoretical model, which is usually the solution of a convection-diffusion equation. Since an analytic solution is not available due to the form of the flow field and the boundary conditions, an alternative numerical approach is presented. It is based on stochastic methods, i. e. a combination of a Brownian Dynamics algorithm and Monte Carlo techniques. Finally, experimental measurements for a hydrophilic surface are analyzed using this new numerical approach.

Dynamics and control issues of multi-rotor platforms

This thesis deals with the analytic study of dynamics of Multi--Rotor Unmanned Aerial Vehicles. It is conceived to give a set of mathematical instruments apt to the theoretical study and design of these flying machines. The entire work is organized in analogy with classical academic texts about airplane flight dynamics. First, the non--linear equations of motion are defined and all the external actions are modeled, with particular attention to rotors aerodynamics. All the equations are provided in a form, and with personal expedients, to be directly exploitable in a simulation environment. This has requited an answer to questions like the trim of such mathematical systems. All the treatment is developed aiming at the description of different multi--rotor configurations. Then, the linearized equations of motion are derived. The computation of the stability and control derivatives of the linear model is carried out. The study of static and dynamic stability characteristics is, thus, addressed, showing the influence of the various geometric and aerodynamic parameters of the machine and in particular of the rotors. All the theoretic results are finally utilized in two interesting cases. One concerns the design of control systems for attitude stabilization. The linear model permits the tuning of linear controllers gains and the non--linear model allows the numerical testing. The other case is the study of the performances of an innovative configuration of quad--rotor aircraft. With the non--linear model the feasibility of maneuvers impossible for a traditional quad--rotor is assessed. The linear model is applied to the controllability analysis of such an aircraft in case of actuator block.

Picard-Fuchs equations of dimensionally regulated Feynman integrals

Zusammenfassung In der vorliegenden Arbeit besch¨aftige ich mich mit Differentialgleichungen von Feynman– Integralen. Ein Feynman–Integral h¨angt von einem Dimensionsparameter D ab und kann f¨ur ganzzahlige Dimension als projektives Integral dargestellt werden. Dies ist die sogenannte Feynman–Parameter Darstellung. In Abh¨angigkeit der Dimension kann ein solches Integral divergieren. Als Funktion in D erh¨alt man eine meromorphe Funktion auf ganz C. Ein divergentes Integral kann also durch eine Laurent–Reihe ersetzt werden und dessen Koeffizienten r¨ucken in das Zentrum des Interesses. Diese Vorgehensweise wird als dimensionale Regularisierung bezeichnet. Alle Terme einer solchen Laurent–Reihe eines Feynman–Integrals sind Perioden im Sinne von Kontsevich und Zagier. Ich beschreibe eine neue Methode zur Berechnung von Differentialgleichungen von Feynman– Integralen. ¨ Ublicherweise verwendet man hierzu die sogenannten ”integration by parts” (IBP)– Identit¨aten. Die neue Methode verwendet die Theorie der Picard–Fuchs–Differentialgleichungen. Im Falle projektiver oder quasi–projektiver Variet¨aten basiert die Berechnung einer solchen Differentialgleichung auf der sogenannten Griffiths–Dwork–Reduktion. Zun¨achst beschreibe ich die Methode f¨ur feste, ganzzahlige Dimension. Nach geeigneter Verschiebung der Dimension erh¨alt man direkt eine Periode und somit eine Picard–Fuchs–Differentialgleichung. Diese ist inhomogen, da das Integrationsgebiet einen Rand besitzt und daher nur einen relativen Zykel darstellt. Mit Hilfe von dimensionalen Rekurrenzrelationen, die auf Tarasov zur¨uckgehen, kann in einem zweiten Schritt die L¨osung in der urspr¨unglichen Dimension bestimmt werden. Ich beschreibe außerdem eine Methode, die auf der Griffiths–Dwork–Reduktion basiert, um die Differentialgleichung direkt f¨ur beliebige Dimension zu berechnen. Diese Methode ist allgemein g¨ultig und erspart Dimensionswechsel. Ein Erfolg der Methode h¨angt von der M¨oglichkeit ab, große Systeme von linearen Gleichungen zu l¨osen. Ich gebe Beispiele von Integralen von Graphen mit zwei und drei Schleifen. Tarasov gibt eine Basis von Integralen an, die Graphen mit zwei Schleifen und zwei externen Kanten bestimmen. Ich bestimme Differentialgleichungen der Integrale dieser Basis. Als wichtigstes Beispiel berechne ich die Differentialgleichung des sogenannten Sunrise–Graphen mit zwei Schleifen im allgemeinen Fall beliebiger Massen. Diese ist f¨ur spezielle Werte von D eine inhomogene Picard–Fuchs–Gleichung einer Familie elliptischer Kurven. Der Sunrise–Graph ist besonders interessant, weil eine analytische L¨osung erst mit dieser Methode gefunden werden konnte, und weil dies der einfachste Graph ist, dessen Master–Integrale nicht durch Polylogarithmen gegeben sind. Ich gebe außerdem ein Beispiel eines Graphen mit drei Schleifen. Hier taucht die Picard–Fuchs–Gleichung einer Familie von K3–Fl¨achen auf.

Analytische Ableitungen der Energie für den "Equation-of-Motion-Coupled-Cluster"-Ansatz zur Berechnung von Ionisationspotentialen

In der vorliegenden Arbeit wird die Theorie der analytischen zweiten Ableitungen für die EOMIP-CCSD-Methode formuliert sowie die durchgeführte Implementierung im Quantenchemieprogramm CFOUR beschrieben. Diese Ableitungen sind von Bedeutung bei der Bestimmung statischer Polarisierbarkeiten und harmonischer Schwingungsfrequenzen und in dieser Arbeit wird die Genauigkeit des EOMIP-CCSD-Ansatzes bei der Berechnung dieser Eigenschaften für verschiedene radikalische Systeme untersucht. Des Weiteren können mit Hilfe der ersten und zweiten Ableitungen vibronische Kopplungsparameter berechnet werden, welche zur Simulation von Molekülspektren in Kombination mit dem Köppel-Domcke-Cederbaum (KDC)-Modell - in der Arbeit am Beispiel des Formyloxyl (HCO2)-Radikals demonstriert - benötigt werden.rnrnDer konzeptionell einfache EOMIP-CC-Ansatz wurde gewählt, da hier die Wellenfunktion eines Radikalsystems ausgehend von einem stabilen geschlossenschaligen Zustand durch die Entfernung eines Elektrons gebildet wird und somit die Problematik der Symmetriebrechung umgangen werden kann. Im Rahmen der Implementierung wurden neue Programmteile zur Lösung der erforderlichen Gleichungen für die gestörten EOMIP-CC-Amplituden und die gestörten Lagrange-Multiplikatoren zeta zum Quantenchemieprogramm CFOUR hinzugefügt. Die unter Verwendung des Programms bestimmten Eigenschaften werden hinsichtlich ihrer Leistungsfähigkeit im Vergleich zu etablierten Methoden wie z.B. CCSD(T) untersucht. Bei der Berechnung von Polarisierbarkeiten und harmonischen Schwingungsfrequenzen liefert die EOMIP-CCSD-Theorie meist gute Resultate, welche nur wenig von den CCSD(T)-Ergebnissen abweichen. Einzig bei der Betrachtung von Radikalen, für die die entsprechenden Anionen nicht stabil sind (z.B. NH2⁻ und CH3⁻), liefert der EOMIP-CCSD-Ansatz aufgrund methodischer Nachteile keine aussagekräftige Beschreibung. rnrnDie Ableitungen der EOMIP-CCSD-Energie lassen sich auch zur Simulation vibronischer Kopplungen innerhalb des KDC-Modells einsetzen.rnZur Kopplung verschiedener radikalischer Zustände in einem solchen Modellpotential spielen vor allem die Ableitungen von Übergangsmatrixelementen eine wichtige Rolle. Diese sogenannten Kopplungskonstanten können in der EOMIP-CC-Theorie besonders leicht definiert und berechnet werden. Bei der Betrachtung des Photoelektronenspektrums von HCO2⁻ werden zwei Alternativen untersucht: Die vertikale Bestimmung an der Gleichgewichtsgeometrie des HCO2⁻-Anions und die Ermittlung adiabatischer Kraftkonstanten an den Gleichgewichtsgeometrien des Radikals. Lediglich das adiabatische Modell liefert bei Beschränkung auf harmonische Kraftkonstanten eine qualitativ sinnvolle Beschreibung des Spektrums. Erweitert man beide Modelle um kubische und quartische Kraftkonstanten, so nähern sich diese einander an und ermöglichen eine vollständige Zuordnung des gemessenen Spektrums innerhalb der ersten 1500 cm⁻¹. Die adiabatische Darstellung erreicht dabei nahezu quantitative Genauigkeit.

Numerical Computation of a Certain Dirichlet Series Attached to Siegel Modular Forms of Degree Two

The Rankin convolution type Dirichlet series D-F,D-G(s) of Siegel modular forms F and G of degree two, which was introduced by Kohnen and the second author, is computed numerically for various F and G. In particular, we prove that the series D-F,D-G(s), which shares the same functional equation and analytic behavior with the spinor L-functions of eigenforms of the same weight are not linear combinations of those. In order to conduct these experiments a numerical method to compute the Petersson scalar products of Jacobi Forms is developed and discussed in detail.

Faith and the Sublation of Modernity: Kierkegaard and the Transformation of Fideism

This article retraces the “genealogy” of the fideist perspective in philosophy as well as literature, especially within the writings of Søren Kierkegaard and the novel Don Quixote. It contends that a demythologized perspective of the fideist-humanist sort, based upon Erasmian tolerance and intellectual creativity and updated with the insights of post-analytic theory (e.g., the work of Alasdair MacIntyre, Richard Rorty, and Jeffrey Stout), without revoking the vocabulary of transcendence, can reinforce the weathered but still valuable post-Enlightenment moral vocabulary, and can reiterate the humaneness of liberal hope without undue encumbrance from the dogmatic baggage of traditional theological jargon and metaphysics.

Pesiqta Rabbati: a text-linguistic and form-analytical analysis of the rabbinic homily

Pesiqta Rabbati is a unique homiletic midrash that follows the liturgical calendar in its presentation of homilies for festivals and special Sabbaths. This article attempts to utilize Pesiqta Rabbati in order to present a global theory of the literary production of rabbinic/homiletic literature. In respect to Pesiqta Rabbati it explores such areas as dating, textual witnesses, integrative apocalyptic meta-narrative, describing and mapping the structure of the text, internal and external constraints that impacted upon the text, text linguistic analysis, form-analysis: problems in the texts and linguistic gap-filling, transmission of text, strict formalization of a homiletic unit, deconstructing and reconstructing homiletic midrashim based upon form-analytic units of the homily, Neusner’s documentary hypothesis, surface structures of the homiletic unit, and textual variants. The suggested methodology may assist scholars in their production of editions of midrashic works by eliminating superfluous material and in their decoding and defining of ancient texts.

Mass Transport Perspective on an Accelerated Exclusion Process: Analysis of Augmented Current and Unit-Velocity Phases

In an accelerated exclusion process (AEP), each particle can "hop" to its adjacent site if empty as well as "kick" the frontmost particle when joining a cluster of size ℓ⩽ℓ_{max}. With various choices of the interaction range, ℓ_{max}, we find that the steady state of AEP can be found in a homogeneous phase with augmented currents (AC) or a segregated phase with holes moving at unit velocity (UV). Here we present a detailed study on the emergence of the novel phases, from two perspectives: the AEP and a mass transport process (MTP). In the latter picture, the system in the UV phase is composed of a condensate in coexistence with a fluid, while the transition from AC to UV can be regarded as condensation. Using Monte Carlo simulations, exact results for special cases, and analytic methods in a mean field approach (within the MTP), we focus on steady state currents and cluster sizes. Excellent agreement between data and theory is found, providing an insightful picture for understanding this model system.

Biaxial extensional motion of an inertially driven radially expanding liquid sheet

We consider the inertially driven, time-dependent biaxial extensional motion of inviscid and viscous thinning liquid sheets. We present an analytic solution describing the base flow and examine its linear stability to varicose (symmetric) perturbations within the framework of a long-wave model where transient growth and long-time asymptotic stability are considered. The stability of the system is characterized in terms of the perturbation wavenumber, Weber number, and Reynolds number. We find that the isotropic nature of the base flow yields stability results that are identical for axisymmetric and general two-dimensional perturbations. Transient growth of short-wave perturbations at early to moderate times can have significant and lasting influence on the long-time sheet thickness. For finite Reynolds numbers, a radially expanding sheet is weakly unstable with bounded growth of all perturbations, whereas in the inviscid and Stokes flow limits sheets are unstable to perturbations in the short-wave limit.

Effectiveness of integrated psychological therapy (IPT) for schizophrenia patients: a research update

Standardized recovery criteria go beyond symptom remission and put special emphasis on personal and social functioning in residence, work, and leisure. Against this background, evidence-based integrated approaches combining cognitive remediation with social skills therapy show promise for improving functional recovery of schizophrenia patients. Over the past 30 years, research groups in 12 countries have evaluated integrated psychological therapy (IPT) in 36 independent studies. IPT is a group therapy program for schizophrenia patients. It combines neurocognitive and social cognitive interventions with social skills and problem-solving approaches. The aim of the present study was to update and integrate the growing amount of research data on the effectiveness of IPT. We quantitatively reviewed the results of these 36 studies, including 1601 schizophrenia patients, by means of a meta-analytic procedure. Patients undergoing IPT showed significantly greater improvement in all outcome variables (neurocognition, social cognition, psychosocial functioning, and negative symptoms) than those in the control groups (placebo-attention conditions and standard care). IPT patients maintained their mean positive effects during an average follow-up period of 8.1 months. They showed better effects on distal outcome measures when all 5 subprograms were integrated. This analysis summarizes the broad empirical evidence indicating that IPT is an effective rehabilitation approach for schizophrenia patients and is robust across a wide range of sample characteristics as well as treatment conditions. Moreover, the cognitive and social subprograms of IPT may work in a synergistic manner, thereby enhancing the transfer of therapy effects over time and improving functional recovery.

A Sociological Study of the Political Subsystem in Yugoslavia

In this critical analysis of sociological studies of the political subsystem in Yugoslavia since the fall of communism Mr. Ilic examined the work of the majority of leading researchers of politics in the country between 1990 and 1996. Where the question of continuity was important, he also looked at previous research by the writers in question. His aim was to demonstrate the overall extent of existing research and at the same time to identify its limits and the social conditions which defined it. Particular areas examined included the problems of defining basic concepts and selecting the theoretically most relevant indicators; the sources of data including the types of authentic materials exploited; problems of research work (contacts, field control, etc.); problems of analysisl and finally the problems arising from different relations with the people who commission the research. In the first stage of the research, looking at methods of defining key terms, special attention was paid to the analysis of the most frequently used terms such as democracy, totalitarianism, the political left and right, and populism. Numerous weaknesses were noted in the analytic application of these terms. In studies of the possibilities of creating a democratic political system in Serbia and its possible forms (democracy of the majority or consensual democracy), the profound social division of Serbian society was neglected. The left-right distinction tends to be identified with the government-opposition relation, in the way of practical politics. The idea of populism was used to pass responsibility for the policy of war from the manipulator to the manipulated, while the concept of totalitarianism is used in a rather old-fashioned way, with echoes of the cold war. In general, the terminology used in the majority of recent research on the political subsystem in Yugoslavia is characterised by a special ideological style and by practical political material, rather than by developed theoretical effort. The second section of analysis considered the wider theoretical background of the research and focused on studies of the processes of transformation and transition in Yugoslav society, particularly the work of Mladen Lazic and Silvano Bolcic, who he sees as representing the most important and influential contemporary Yugoslav sociologists. Here Mr. Ilic showed that the meaning of empirical data is closely connected with the stratification schemes towards which they are oriented, so that the same data can have different meanings in shown through different schemes. He went on to show the observed theoretical frames in the context of wider ideological understanding of the authors' ideas and research. Here the emphasis was on the formalistic character of such notions as command economy and command work which were used in analysing the functioning and the collapse of communist society, although Mr. Ilic passed favourable judgement on the Lazic's critique of political over-determination in its various attempts to explain the disintegration of the communist political (sub)system. The next stage of the analysis was devoted to the problem of empirical identification of the observed phenomena. Here again the notions of the political left and right were of key importance. He sees two specific problems in using these notion in talking about Yugoslavia, the first being that the process of transition in the FR Yugoslavia has hardly begun. The communist government has in effect remained in power continuously since 1945, despite the introduction of a multi-party system in 1990. The process of privatisation of public property was interrupted at a very early stage and the results of this are evident on the structural level in the continuous weakening of the social status of the middle class and on the political level because the social structure and dominant form of property direct the majority of votes towards to communists in power. This has been combined with strong chauvinist confusion associated with the wars in Croatia and Bosnia, and these ideas were incorporated by all the relevant Yugoslav political parties, making it more difficult to differentiate between them empirically. In this context he quotes the situation of the stream of political scientists who emerged in the Faculty of Political Science in Belgrade. During the time of the one-party regime, this faculty functioned as ideological support for official communist policy and its teachers were unable to develop views which differed from the official line, but rather treated all contrasting ideas in the same way, neglecting their differences. Following the introduction of a multi-party system, these authors changed their idea of a public enemy, but still retained an undifferentiated and theoretically undeveloped approach to the issue of the identification of political ideas. The fourth section of the work looked at problems of explanation in studying the political subsystem and the attempts at an adequate causal explanation of the triumph of Slobodan Milosevic's communists at four subsequent elections was identified as the key methodological problem. The main problem Mr. Ilic isolated here was the neglect of structural factors in explaining the voters' choice. He then went on to look at the way empirical evidence is collected and studied, pointing out many mistakes in planning and determining the samples used in surveys as well as in the scientifically incorrect use of results. He found these weaknesses particularly noticeable in the works of representatives of the so-called nationalistic orientation in Yugoslav sociology of politics, and he pointed out the practical political abuses which these methodological weaknesses made possible. He also identified similar types of mistakes in research by Serbian political parties made on the basis of party documentation and using methods of content analysis. He found various none-sided applications of survey data and looked at attempts to apply other sources of data (statistics, official party documents, various research results). Mr. Ilic concluded that there are two main sets of characteristics in modern Yugoslav sociological studies of political subsystems. There are a considerable number of surveys with ambitious aspirations to explain political phenomena, but at the same time there is a clear lack of a developed sociological theory of political (sub)systems. He feels that, in the absence of such theory, most researcher are over-ready to accept the theoretical solutions found for interpretation of political phenomena in other countries. He sees a need for a stronger methodological bases for future research, either 1) in complementary usage of different sources and ways of collecting data, or 2) in including more of a historical dimension in different attempts to explain the political subsystem in Yugoslavia.

The Sociolinguistics of Hungarian Outside Hungary

This study describes the sociolinguistic situation of the indigenous Hungarian national minorities in Slovakia (c. 600,000), Ukraine (c. 180,000), Romania (c. 2,000,000), Yugoslavia (c. 300,000), Slovenia (c. 8,000) and Austria (c. 6,000). Following the guidelines of Hans Goebl et al, the historical sociolinguistic portrait of each minority is presented from 1920 through to the mid-1990s. Each country's report includes sections on geography and demography, history, politics, economy, culture and religion, language policy and planning, and language use (domains of minority and/or majority language use, proficiency, attitudes, etc.). The team's findings were presented in the form of 374 pages of manuscripts, articles and tables, written in Hungarian and English. The core of the team's research results lies in the results of an empirical survey designed to study the social characteristics of Hungarian-minority bilingualism in the six project countries, and the linguistic similarities and differences between the six contact varieties of Hungarian and Hungarian in Hungary. The respondents were divided by age, education, and settlement group - city vs. village and local majority vs. local minority. The first thing to be observed is that Hungarian is tending to be spoken less to children than to parents and grandparents, a familiar pattern of language shift. In contact varieties of Hungarian, analytic constructions may be used where monolingual Hungarians would use a more synthetic form. Mr Kontra gives as an example the compound tagdij, which in Standard Hungarian means "membership fee" but which is replaced in contact Hungarian by the two-word phrase tagsagi dij. Another similar example concerns the synthetic verb hegedult "played the violin" and the analytic expression hegedun jatszott. The contrast is especially striking between the Hungarians in the northern Slavic countries, who use the synthetic form frequently, and those in the southern Slavic countries, who mainly use the analytic form. Mr. Kontra notes that from a structural point of view, there is no immediate explanation for this, since Slovak or Ukrainian are as likely to cause interference as is Serbian. He postulates instead that the difference may be attributable to some sociohistoric cause, and points out that the Turkish occupation of what is today Voivodina caused a discontinuity of the Hungarian presence in the region, with the result that Hungarians were resettled in the area only two and a half centuries ago. However, the Hungarians in today's Slovakia and Ukraine have lived together with Slavic peoples continuously for over a millennium. It may be, he suggests, that 250 years of interethnic coexistence is less than is needed for such a contact-induced change to run its course. Next Mr. Kontra moved on to what he terms "mental maps and morphology". In Hungarian, the names of cities and villages take the surface case (eg. Budapest-en "in Budapest") whereas some names denoting Hungarian settlements and all names of foreign cities take the interior case (eg. Tihany-ban "in Tihany" and Boston-ban "in Boston). The role of the semantic feature "foreign" in suffix-choice can be illustrated by such minimal pairs as Velence-n "in Velence, a village in Hungary" versus Velence-ben "in Velence [=Venice], a city in Italy", and Pecs-en "in Pecs, a city in Hungary" vs. Becs-ben "in Becs, ie. Vienna". This Hungarian vs. foreign distinction is often interpreted as "belonging to historical (pre-1920) Hungary" vs. "outside historical Hungary". The distinction is also expressed in the dichotomy "home" vs. "abroad'. The 1920 border changes have had an impact on both majority and minority Hungarians' mental maps, the maps which govern the choice of surface vs. interior cases with placenames. As there is a growing divergence between the mental maps of majority and minority Hungarians, so there will be a growing divergence in their use of the placename suffixes. Two placenames were chosen to scratch the surface of this complex problem: Craiova (a city in Oltenia, Romania) and Kosovo (Hungarian Koszovo) an autonomous region in southeast Yugoslavia. The assumption to be tested was that both placenames would be used with the inessive (interior) suffixes categorically by Hungarians in Hungary, but that the superessive suffix (showing "home") would be used near-categorically by Hungarians in Romania and Yugoslavia (Voivodina). Minority Hungarians in countries other than Romania and Yugoslavia would show no difference from majority Hungarians in Hungary. In fact, the data show that, contrary to expectation, there is considerable variation within Hungary. And although Koszovo is used, as expected, with the "home" suffix by 61% of the informants in Yugoslavia, the same suffix is used by an even higher percentage of the subjects in Slovenia. Mr. Kontra's team suggests that one factor playing a role in this might be the continuance of the former Yugoslav mentality in the Hungarians of Slovenia, at least from the geographical point of view. The contact varieties of Hungarian show important grammatical differences from Hungarian in Hungary. One of these concerns the variable use of Null subjects (the inclusion or exclusion of the subject of the verb). When informants were asked to insert either megkertem or megkertem ot - "I asked her" - into a test sentence, 54.9% of the respondents in the Ukraine inserted the second phrase as opposed to only 27.4% in Hungary. Although Mr. Kontra and his team concentrated more on the differences between Contact Hungarian and Standard Hungarian, they also discovered a number of similarities. One such similarity is demonstrable in the distribution of what Mr. Kontra calls an ongoing syntactic merger in Hungarian in Hungary. This change means effectively that two possibilities merge to form a third. For instance, the two sentences Valoszinuleg kulfoldre fognak koltozni and Valoszinu, hogy kulfoldre fognak koltozni merge to form the new construction Valszinuleg, hogy kulfoldre fognak koltozni ("Probably they will move abroad."). When asked to choose "the most natural" of the sentences, one in four chose the new construction, and a chi-square test shows homogeneity in the sample. In other words, this syntactic change is spreading across the entire Hungarian-speaking region in the Carpathian Basin Mr. Kontra believes that politicians, educators, and other interested parties now have reliable and up-to-date information about each Hungarian minority. An awareness of Hungarian as a pluricentric language is being developed which elevates the status of contact varieties of Hungarian used by the minorities, an essential process, he believes, if minority languages are to be maintained.

Weak Senses as a Type of Semantic Information

'Weak senses' are a specific type of semantic information as opposed to assertions and presuppositions. The universal trait of weak senses is that they assume 'if' modality in negative contexts. In addition they exhibit several other diagnostic properties, e.g. they fill at least one of their valency places with a semantic element sensitive to negation (i.e. with an assertion or other weak sense), they normally do not fall within the scope of functors, do not play any role in causal relations, and resist intensification. As weak senses are widespread in lexical, grammatical and referential semantics, this notion holds the clue to phenomena as diverse as the oppositions little - a little, few - a few, edva ('hardly') - cut' ('slightly), where a little, a few, cut, convey 'weakly' approximately what little, few, and edva do in an assertive way, the semantics of the Russian perfect aspect, and the formation rules for conjunction strings. Zeldovich outlines a typology of weak senses, the main distinction being between weak senses unilaterally dependent upon the truthfulness of what they saturate their valency with, and weak senses exerting their own influence on the main situation. The latter, called, non-trivial, are instantiated by existential quantifiers involved in the semantics of indefinite pronouns, iterative verbs, etc.