Latent Space and Social Psychological Models of Diffusion

The problem of social diffusion has animated sociological thinking on topics ranging from the spread of an idea, an innovation or a disease, to the foundations of collective behavior and political polarization. While network diffusion has been a productive metaphor, the reality of diffusion processes is often muddier. Ideas and innovations diffuse differently from diseases, but, with a few exceptions, the diffusion of ideas and innovations has been modeled under the same assumptions as the diffusion of disease. In this dissertation, I develop two new diffusion models for "socially meaningful" contagions that address two of the most significant problems with current diffusion models: (1) that contagions can only spread along observed ties, and (2) that contagions do not change as they spread between people. I augment insights from these statistical and simulation models with an analysis of an empirical case of diffusion - the use of enterprise collaboration software in a large technology company. I focus the empirical study on when people abandon innovations, a crucial, and understudied aspect of the diffusion of innovations. Using timestamped posts, I analyze when people abandon software to a high degree of detail.

To address the first problem, I suggest a latent space diffusion model. Rather than treating ties as stable conduits for information, the latent space diffusion model treats ties as random draws from an underlying social space, and simulates diffusion over the social space. Theoretically, the social space model integrates both actor ties and attributes simultaneously in a single social plane, while incorporating schemas into diffusion processes gives an explicit form to the reciprocal influences that cognition and social environment have on each other. Practically, the latent space diffusion model produces statistically consistent diffusion estimates where using the network alone does not, and the diffusion with schemas model shows that introducing some cognitive processing into diffusion processes changes the rate and ultimate distribution of the spreading information. To address the second problem, I suggest a diffusion model with schemas. Rather than treating information as though it is spread without changes, the schema diffusion model allows people to modify information they receive to fit an underlying mental model of the information before they pass the information to others. Combining the latent space models with a schema notion for actors improves our models for social diffusion both theoretically and practically.

The empirical case study focuses on how the changing value of an innovation, introduced by the innovations' network externalities, influences when people abandon the innovation. In it, I find that people are least likely to abandon an innovation when other people in their neighborhood currently use the software as well. The effect is particularly pronounced for supervisors' current use and number of supervisory team members who currently use the software. This case study not only points to an important process in the diffusion of innovation, but also suggests a new approach -- computerized collaboration systems -- to collecting and analyzing data on organizational processes.

Contributions Of the Human Medial Prefrontal Cortex To Associative Recognition Memory: Evidence From Functional Neuroimaging

Neuroimaging studies of episodic memory, or memory of events from our personal past, have predominantly focused their attention on medial temporal lobe (MTL). There is growing acknowledgement however, from the cognitive neuroscience of memory literature, that regions outside the MTL can support episodic memory processes. The medial prefrontal cortex is one such region garnering increasing interest from researchers. Using behavioral and functional magnetic resonance imaging measures, over two studies, this thesis provides evidence of a mnemonic role of the medial PFC. In the first study, participants were scanned while judging the extent to which they agreed or disagreed with the sociopolitical views of unfamiliar individuals. Behavioral tests of associative recognition revealed that participants remembered with high confidence viewpoints previously linked with judgments of strong agreement/disagreement. Neurally, the medial PFC mediated the interaction between high-confidence associative recognition memory and beliefs associated with strong agree/disagree judgments. In an effort to generalize this finding to well-established associative information, in the second study, we investigated associative recognition memory for real-world concepts. Object-scene pairs congruent or incongruent with a preexisting schema were presented to participants in a cued-recall paradigm. Behavioral tests of conceptual and perceptual recognition revealed memory enhancements arising from strong resonance between presented pairs and preexisting schemas. Neurally, the medial PFC tracked increases in visual recall of schema-congruent pairs whereas the MTL tracked increases in visual recall of schema-incongruent pairs. Additionally, ventral areas of the medial PFC tracked conceptual components of visual recall specifically for schema-congruent pairs. These findings are consistent with a recent theoretical proposal of medial PFC contributions to memory for schema-related content. Collectively, these studies provide evidence of a role for the medial PFC in associative recognition memory persisting for associative information deployed in our daily social interactions and for those associations formed over multiple learning episodes. Additionally, this set of findings advance our understanding of the cognitive contributions of the medial PFC beyond its canonical role in processes underlying social cognition.

The Kyoto School and Confucianism: a Confucian reading of the philosophy of history and political thought of Masaaki Kosaka

This dissertation examines the philosophy of Masaaki Kōsaka (1900-1969) from the East Asian perspective of Confucianism, which I believe is the most appropriate moral paradigm for comprehending his political speculations. Although largely neglected in post-war scholarship, Kōsaka was a prominent member of the Kyoto School during the 1930s and 40s. This was a group of Japanese thinkers strongly associated with the philosophies of Kitarō Nishida and Hajime Tanabe. Kōsaka is now best known for his participation in the three Chūō Kōron symposia held in 1941 and 1942. These meetings have been routinely denounced by liberal historians due to the participants’ support for the Pacific War and the Co-Prosperity Sphere. However, many of these liberal portrayals have failed to take into account the full extent of the group’s resistance to the military junta of Hideki Tōjō. Adopting the methods and techniques of the empirical disciplines of academic history and Orientalism, I develop an interpretative framework that is more receptive to the political values that mattered to Kōsaka as a Confucian inspired intellectual. This has necessitated the rejection of moral history, which typically prioritises modern liberal values brought a priori to the historical record of wartime Japan, as well as recognition of the different ontological foundations that inform the unique political theories of the East Asian intellectual tradition. Reinforced by the prior research of Michel Dalissier and Graham Parkes, as well as my own reading of the Confucian canon, I adopt David Williams’s thesis of ‘Confucian Revolution’ as my principle schema of interpretation. This, I believe, is better able to reconcile Kōsaka’s support for the war with his strong condemnation of the imperialist practices of the Japanese military. Moreover, acknowledging the importance of Confucianism allows us to fully appreciate Kōsaka’s strong affinity for Kant’s practical metaphysics, Hegel’s political philosophy and Ranke’s historiography.

La déconstruction de l'onto-théologie par Jacques Derrida : détour littéraire et mise en relief de la matrice langagière comme "différance".

Le mouvement derridien de la différance marque la rupture avec l'affirmation de la métaphysique de la présence, avec l'autorité du signifié transcendantal. Dans cet univers mouvant de signifiants qui se renvoient perpétuellement les uns aux autres, la logique d'univocité se disloque. La "présence" n'est que fantomatique, s'esquissant au sein d'une chaîne ininterrompue de signifiants et se laissant toujours creuser par la marque d'un irréductible manque. Face au logocentrisme, corollaire de l'affirmation de la présence, l'écriture se veut siège et articulation de la trace, d'une origine qui ne peut être que raturée, véhicule d'une irrémédiable fêlure. La volet littéraire de la déconstruction a pour but de mettre en évidence le fonctionnement de l'"indécidabilité" du discours, soit une certaine ambivalence dans la signification qui caractérise tout texte. L'objectif principal de la présente recherche est de fournir une compréhension plus approfondie de la déconstruction en insistant sur l'ancrage langagier de tout texte. Le discours philosophique n'échappe ainsi pas au mécanisme différentiel du langage et de la dérive métaphorique. La parenté entre la perspective déconstructiviste derridienne et la conception mallarméenne du langage poétique semble frappante. La mise en oeuvre, par Mallarmé, d'une dislocation de l'espace textuel, son minutieux "creusement" du vers après renoncement à toute quête d'"Idéal", la mise en relief du leurre de l'appropriation langagière, voilà qui trouve un écho particulier dans les thèses derridiennes. La "mimésis" platonicienne se voit au travers du prisme de la "mimique" mallarméenne. La déconstruction poursuit son travail de "luxation" de l'oreille philosophique, insérant les philosophèmes dans la matrice langagière, les livrant ainsi au hasard du cheminement textuel et les confrontant à l'aporie. La philosophie n'a alors d'autre choix que d'abandonner ses prétentions transcendantales. La marche de la "différance" instaure une inexorable distance qui prive le sujet de tout rapport direct avec une origine assurée et lui ôte toute possibilité de maîtrise sur le monde. Au travers de la langue, se profile la question de l'altérité, de la relation dissymétrique qui nous lie à cet "autre", ce "tout-autre" qui nous fonde et nous constitue. L'accueil inconditionnel de cette altérité nous mènera à l'étude de la "religion", la déconstruction se tournant vers le "religieux" tout en effectuant un "retournement" habile de tout credo essentialiste.

The user's view level of the GOQL graphical query language

The paper addresses issues related to the design of a graphical query mechanism that can act as an interface to any object-oriented database system (OODBS), in general, and the object model of ODMG 2.0, in particular. In the paper a brief literature survey of related work is given, and an analysis methodology that allows the evaluation of such languages is proposed. Moreover, the user's view level of a new graphical query language, namely GOQL (Graphical Object Query Language), for ODMG 2.0 is presented. The user's view level provides a graphical schema that does not contain any of the perplexing details of an object-oriented database schema, and it also provides a foundation for a graphical interface that can support ad-hoc queries for object-oriented database applications. We illustrate, using an example, the user's view level of GOQL

The Visual Representation of a Systematic Metaphor in a UK Media Text

Much has been written on the organizational power of metaphor in discourse, eg on metaphor ‘chains’ and ‘clusters’ of linguistic metaphor in discourse (Koller 2003, Cameron & Stelma 2004, Semino 2008) and the role of extended and systematic metaphor in organizing long stretches of language, even whole texts (Cameron et al 2009, Cameron & Maslen 2010, Deignan et al 2013, Semino et al 2013). However, at times, this work belies the intricacies of how a single metaphoric idea can impact on a text. The focus of this paper is a UK media article derived from a HM Treasury press release on alleviating poverty. The language of the article draws heavily on orientational (spatial) metaphors, particularly metaphors of movement around GOOD IS UP. Although GOOD IS UP can be considered a single metaphoric idea, the picture the reader builds up as they move line by line through this text is complex and multifaceted. I take the idea of “building up a picture” literally in order to investigate the schema of motion relating to GOOD IS UP. To do this, fifteen informants (Masters students at a London university), tutored in Cognitive Metaphor Theory, were asked to read the article and underline words and expressions they felt related to GOOD IS UP. The text was then read back to the informant with emphasis given to the words they had underlined, while they drew a pictorial representation of the article based on the meanings of these words, integrating their drawings into a single picture as they went along. I present examples of the drawings the informants produced. I propose that using Metaphor-led Discourse Analysis to produce visual material in this way offers useful insights into how metaphor contributes to meaning making at text level. It shows how a metaphoric idea, such as GOOD IS UP, provides the text producer with a rich and versatile meaning-making resource for constructing text; and gives a ‘mind-map’ of how certain aspects of a media text are decoded by the text receiver. It also offers a partial representation of the elusive, intermediate ‘deverbalized’ stage of translation (Lederer 1987), where the sense of the source text is held in the mind before it is transferred to the target language. References Cameron, L., R. Maslen, Z. Todd, J. Maule, P. Stratton & N. Stanley. 2009. ‘The discourse dynamic approach to metaphor and metaphor-led analysis’. Metaphor and Symbol, 24(2), 63-89. Cameron, L. & R. Maslen (eds). 2010. Metaphor Analysis: Research Practice in Applied Linguistics, Social Sciences and Humanities. London: Equinox. Cameron, L. & J. Stelma. 2004. ‘Metaphor Clusters in Discourse’. Journal of Applied Linguistics, 1(2), 107-136. Deignan, A., J. Littlemore & E. Semino. 2013. Figurative Language, Genre and Register. Cambridge: Cambridge University Press. Koller, V. 2003. ‘Metaphor Clusters, Metaphor Chains: Analyzing the Multifunctionality of Metaphor in Text’. metaphorik.de, 5, 115-134. Lederer, M. 1987. ‘La théorie interprétative de la traduction’ in Retour à La Traduction. Le Francais dans Le Monde. Semino, E. 2008. Metaphor in Discourse. Cambridge: Cambridge University Press. Semino, E., A. Deignan & J. Littlemore. 2013. ‘Metaphor, Genre, and Recontextualization’. Metaphor and Symbol. 28(1), 41-59.

La teoría de los diferenciales de Salomon Maimon, la pregunta quid juris y la posibilidad de la metafísica como ciencia

Este trabajo estudia la teoría de los diferenciales de Salomon Maimon como respuesta a la cuestión quid juris y a la vez como clave para la fundamentación de la posibilidad de la metafísica como ciencia. Se reconstruye primero la crítica de Maimon al tratamiento kantiano de la pregunta quid juris. Luego, se analiza la respuesta del propio Maimon a esa pregunta, para establecer finalmente cómo tal respuesta abre el camino para la explicación de la posibilidad de la metafísica como ciencia.

Training proposal in the degree of Master of Early Childhood Education for working the method of historical research in the classroom

Future teachers must be competent in creating educational settings, which provide tools to their students future they can develop a conscious mind, able to interpret their experiences, to make decisions and imagine innovative solutions to help you participate autonomously and responsible in society. This requires an educational system that allows them to integrate the subjective into a broader spatial and temporal context. La patrimonializatión of “Cultural artefacts” and oral history, the basis of which, are found in the active mind and links both the personal and the group experience, don’t only serve as a catalyst to achieving this goal, but rather, they facilitate the implementation of established practice in infant education. To gain this experience we offer the opportunity for students of their degree in Infant Education in the Public University of Navarre, training within the framework of social didactics, allowing students to learn about established practice from iconic, materials and oral sources in the Archive of Intangible Cultural Heritage of Navarra. The vidences points to their effectiveness and presented in a work in progress.

Mental logic and its difficulties with disjunction

The mental logic theory does not accept the disjunction introduction rule of standard propositional calculus as a natural schema of the human mind. In this way, the problem that I want to show in this paper is that, however, that theory does admit another much more complex schema in which the mentioned rule must be used as a previous step. So, I try to argue that this is a very important problem that the mental logic theory needs to solve, and claim that another rival theory, the mental models theory, does not have these difficulties.

Testing After Worked Example Study Does Not Enhance Delayed Problem-Solving Performance Compared to Restudy

Four experiments investigated whether the testing effect also applies to the acquisition of problem-solving skills from worked examples. Experiment 1 (n=120) showed no beneficial effects of testing consisting of isomorphic problem solving or example recall on final test performance, which consisted of isomorphic problem solving, compared to continued study of isomorphic examples. Experiment 2 (n=124) showed no beneficial effects of testing consisting of identical problem solving compared to restudying an identical example. Interestingly, participants who took both an immediate and a delayed final test outperformed those taking only a delayed test. This finding suggested that testing might become beneficial for retention but only after a certain level of schema acquisition has taken place through restudying several examples. However, experiment 2 had no control condition restudying examples instead of taking the immediate test. Experiment 3 (n=129) included such a restudy condition, and there was no evidence that testing after studying four examples was more effective for final delayed test performance than restudying, regardless of whether restudied/tested problems were isomorphic or identical. Experiment 4 (n=75) used a similar design as experiment 3 (i.e., testing/restudy after four examples), but with examples on a different topic and with a different participant population. Again, no evidence of a testing effect was found. Thus, across four experiments, with different types of initial tests, different problem-solving domains, and different participant populations, we found no evidence that testing enhanced delayed test performance compared to restudy. These findings suggest that the testing effect might not apply to acquiring problem-solving skills from worked examples

Lo spettro di un anello e i suoi punti

L'elaborato tratta argomenti di geometria algebrica. Si analizzeranno nel dettaglio lo spettro di un anello commutativo con unità e la sua topologia e si vedrà come cambia la nozione di varietà algebrica con l'introduzione degli schemi. Verranno poi definiti i punti di uno schema (punti chiusi e punti generici) terminando la discussione con l'analisi delle varietà su un campo non algebricamente chiuso e del funtore dei punti associato ad uno schema.

Vinculação, Estilos Educativos Parentais e Esquemas Precoces Mal Adaptativos em Reclusos

Introdução: Sobretudo estudos internacionais focam a importância da vinculação e dos estilos educativos parentais no desenvolvimento de comportamentos delinquentes e antissociais. Em Portugal, alguns estudos focados na população reclusa, analisam, separadamente, estilos educativos parentais, personalidade e esquemas precoces mal adaptativos mas, segundo sabemos, nenhum explora, simultaneamente, a vinculação, os estilos educativos parentais e os esquemas precoces mal adaptativos nesta população. São nossos objetivos caracterizar uma amostra de reclusos quanto à vinculação em diferentes relacionamentos, estilos educativos parentais e esquemas precoces mal adaptativos (EPM) e, sobretudo, explorar associações entre estas três variáveis (e destas com variáveis sociodemográficas, familiares, clínicas e relativas à pena). Metodologia: 44 reclusos do sexo masculino (M = 37,3 anos; DP = 10,98; variação = 23-67) preencheram voluntariamente um questionário sociodemográfico e os seguintes instrumentos: EMBU – Memórias de Infância, Experiências em Relações Próximas - Questionário de Estruturas Relacionais e Questionário de Esquemas de Young (QEY). Resultados: Verificou-se, quanto às associações entre vinculação e estilos educativos parentais que: menor suporte emocional paterno associou-se a maior evitamento pai, evitamento mãe e evitamento companheira; menor suporte emocional materno associou-se a maior evitamento mãe, evitamento pai, ansiedade mãe e ansiedade pai; maior rejeição paterna associou-se a maior evitamento mãe, evitamento pai, ansiedade mãe e ansiedade pai; maior rejeição materna associou-se a maior evitamento pai e evitamento mãe. No que toca às associações entre as dimensões de vinculação e EPM, é de enfatizar a associação positivas entre os EPM do domínio distanciamento e rejeição com o evitamento mãe, ansiedade mãe e ansiedade pai, particularmente, os EPM de abandono, desconfiança/abuso e isolamento social, por consistentemente se associaram às dimensões de vinculação. No domínio autonomia e desempenho deteriorados, o fracasso e a dependência/incompetência associaram-se positivamente ao evitamento mãe, a dependência/incompetência à ansiedade pai e o fracasso ao evitamento companheira. Quanto ao domínio limites deteriorados, a grandiosidade associou-se positivamente à ansiedade pai. No domínio vigilância e inibição o pessimismo/negativismo correlacionou-se positivamente com a ansiedade mãe e pai e a autopunição com a ansiedade mãe. Quanto às associações entre dimensões de estilos educativos parentais e os EPM, o domínio distanciamento e rejeição apresentou, de novo resultados relevantes: menores níveis de suporte emocional materno associaram-se a maiores níveis de privação emocional; maiores níveis de rejeição e sobreproteção materna e paterna a maiores os níveis de abandono; maiores níveis de rejeição materna e paterna a maiores níveis de desconfiança/abuso; maiores níveis de rejeição materna e sobreproteção materna e paterna a maiores níveis de isolamento social; maiores níveis de rejeição e sobreproteção paterna a maiores níveis de defeito. Enfatiza-se, também, a associação entre níveis maiores de rejeição paterna e os EPM de grandiosidade, padrões excessivos e pessimismo. Maiores níveis de rejeição materna associaram-se a maiores níveis de pessimismo e autopunição. Discussão: Embora numa amostra pequena, este estudo explorou, pela primeira vez, numa amostra de reclusos portugueses, em simultâneo, associações entre a vinculação, os estilos educativos parentais e os esquemas precoces mal adaptativos. O domínio esquemático distanciamento e rejeição parece ser o mais influenciado pela vinculação estabelecida em diferentes relacionamentos e pelos estilos educativos parentais. / Introduction: Mainly international studies focus on the importance of attachment and parental rearing styles in the development of delinquent and antisocial behaviors. In Portugal some studies focused in the inmate population analyze, separately, parental rearing styles, personality and early maladaptive schemas but, to our knowledge, none simultaneously explores attachment, parental rearing styles and early maladaptive schemas in this population. It is our objective to characterize a sample of inmates concerning attachment in different relationships, parental rearing styles and early maladaptive schemas (EMS) and, above all, explore associations between this three variables (and also with sociodemographic, family, clinic and sentence related variables). Methodology: 44 male inmates (M = 37,3 years; SD = 10,98; variation = 23-67) voluntarily filled in a sociodemographic questionnaire and the following instruments: EMBU – Childhood Memories, Experiments in Close Relationships – Structural Relationship Form and the Young Schema Questionnaires (YSQ) Results: we verified, regarding associations between attachment and parental rearing styles that: less paternal emotional support associated with higher father avoidance (in attachment), mother avoidance and partner avoidance; less maternal emotional support associated with higher mother avoidance, father avoidance, mother anxiety and father anxiety; higher paternal rejection associated with higher mother avoidance, father avoidance, mother anxiety and father anxiety; higher mother rejection associated with father avoidance and mother avoidance. Regarding associations between attachment dimensions and EMS, we emphasize positive associations between EMS in the disconnection and rejection domain with mother avoidance, mother anxiety and father anxiety, particularly, the abandonment, distrust/abuse and social isolation EMS, as they were consistently associated with the this attachment dimension. In the impaired autonomy and performance domain, the failure and dependency/incompetence EMS are positively associated with mother avoidance, the dependence/incompetence EMS to father anxiety and failure to partner avoidance. About the impaired limits domain, grandiosity EMS positively associated with father anxiety. In the overvigilance and inhibition domain, pessimist/negativism EMS positively correlated with mother and father anxiety and self-punishment EMS with mother anxiety. About the associations between parental rearing styles and the EMS, the disconnection and rejection domain presented again relevant results: lower levels of maternal emotional support associated with higher levels of emotional deprivation; higher levels of maternal and paternal rejection and overprotection associated with higher levels of abandonment; higher levels of maternal and paternal rejection associated with higher levels of distrust/abuse; higher levels of maternal rejection and maternal and paternal overprotection associated with higher levels of social isolation; higher levels of paternal rejection and overprotection associated with higher levels of defectiveness. We also emphasize the association between higher levels of paternal rejection and the grandiosity, excessive patterns and pessimism EMS. Higher levels of maternal rejection associated with higher levels of pessimism and self-punishment EMS. Discussion: Although in a small sample, this study explored, for the first time, in sample of Portuguese inmates, simultaneously, the associations between attachment, parental rearing styles and early maladaptive schemas. The schematic domain of disconnection and rejection seems to be the most influenced by the established attachment in different relationships and by parental rearing styles.

Production planning, pricing and market coordination for news vendor problem with price dependent demand

Thesis (Ph.D.)--University of Washington, 2016-08

Caratteristiche idrochimiche delle acque di Occhiobello (RO)

L’analisi chimica delle acque di dieci pozzi, di una località posta a N del fiume Po, (44°54’51.10” N; 11°36’42.49”E), ha mostrato la presenza di acque clorurato sodiche, che si suppone derivino da miscelazione (complessa) tra acque di origine marina (acqua di strato) e un’acqua dolce madre (acqua teorica, end member). Si è tentato di calcolare teoricamente la composizione dell’end member, che è risultata un’acqua bicarbonato sodica, e si è proposta la possibile giacitura delle facies idrochimiche riscontrate all’interno dello schema idrostratigrafico regionale Emiliano-Romagnolo. È emerso che le acque analizzate sono presenti ad una profondità anormalmente ridotta, rispetto alle giaciture degli end members di miscelazione: le acque saline di Ambrogio e Diamantina e l’acqua dolce teorica. Considerando la distribuzione geografica delle acque clorurato sodiche nella regione Emilia-Romagna ed il chiaro rapporto che queste hanno con la verticale degli alti strutturali appenninici sepolti si propone una origine influenzata dalla tettonica per la risalita delle acque studiate.

Das Erzbistum Trier 12. Das Kollegiatstift St. Martin und St. Severus zu Münstermaifeld

Über acht Jahrhunderte war das Stift Münstermaifeld einer der bedeutendsten kirchlichen Mittelpunkte der Vordereifel. Schon im Frühmittelalter an einem ehemaligen römischen Siedlungsplatz im Maifeld als Priestergemeinschaft entstanden, entwickelte es sich um 1200 zu einem bedeutenden Kollegiatstift mit reichem Besitz zwischen Koblenz, Mayen und der Mosel. Herausragende Persönlichkeiten wie die Pröpste Elias und Nikolaus von Kues waren dort tätig. Noch heute überragt die ehemalige Stiftskirche weithin sichtbar die Stadt Münstermaifeld und das fruchtbare Maifeld. Dem Schema der Germania Sacra folgend, wurden alle fassbaren Quellen und Unterlagen zur Geschichte des Stiftes von den Anfängen bis zur Auflösung in der Säkularisation 1802 ausgewertet. Aufgrund der engen Verzahnung der geistlichen Einrichtung mit der Stadt Münstermaifeld und dem Umland stellt der Band auch eine hervorragende Grundlage für die Geschichte der Städte und Orte im Moselraum dar, in denen das Stift begütert war. Das kirchliche Leben im Stift und in den umliegenden Pfarreien wird beschrieben und durch ein umfangreiches Kapitel mit den Kurzbiographien aller dem Stift angehörigen Kanoniker, Vikare und Pfarrer ergänzt.