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The automotive industry is a prime example of digital technologies reshaping mobility. Connected, autonomous, shared, and electric (CASE) trends lead to new emerging players that threaten existing industrial-aged companies. To respond, incumbents need to bridge the gap between contrasting product architecture and organizational principles in the physical and digital realms. Over-the-air (OTA) technology, that enables seamless software updates and on-demand feature additions for customers, is an example of CASE-driven digital product innovation. Through an extensive longitudinal case study of an OTA initiative by an industrial- aged automaker, this dissertation explores how incumbents accomplish digital product innovation. Building on modularity, liminality, and the mirroring hypothesis, it presents a process model that explains the triggers, mechanisms, and outcomes of this process. In contrast to the literature, the findings emphasize the primacy of addressing product architecture challenges over organizational ones and highlight the managerial implications for success.
Artikel 15 Grundgesetz als sozialistische Utopie? Keineswegs. Die Sozialisierungsnorm gibt dem Gesetzgeber ein Instrument an die Hand, um staatliche Gewährleistungsverantwortung mithilfe gemeinwirtschaftlicher Organisationsformen wahrzunehmen. Sozialisierungsmaßnahmen greifen in das Eigentumsgrundrecht ein. Sie treffen zudem auf grundrechtliche Funktionsgarantien einer marktwirtschaftlichen Ordnung und die unionsrechtliche Systemgarantie zugunsten des freien Wettbewerbs. Die Arbeit untersucht daher die verfassungsrechtlichen Anforderungen an die Sozialisierungsgesetzgebung auf Bundes- und Landesebene einschließlich der gerichtlichen Kontrolle. Ferner zeigt die Arbeit auf, wie sich Sozialisierungsgesetze unionsrechtskonform verhalten können.
Human activities modify nature worldwide via changes in the environment, biodiversity and the functioning of ecosystems, which in turn disrupt ecosystem services and feed back negatively on humans. A pressing challenge is thus to limit our impact on nature, and this requires detailed understanding of the interconnections between the environment, biodiversity and ecosystem functioning. These three components of ecosystems each include multiple dimensions, which interact with each other in different ways, but we lack a comprehensive picture of their interconnections and underlying mechanisms. Notably, diversity is often viewed as a single facet, namely species diversity, while many more facets exist at different levels of biological organisation (e.g. genetic, phenotypic, functional, multitrophic diversity), and multiple diversity facets together constitute the raw material for adaptation to environmental changes and shape ecosystem functioning. Consequently, investigating the multidimensionality of ecosystems, and in particular the links between multifaceted diversity, environmental changes and ecosystem functions, is crucial for ecological research, management and conservation. This thesis aims to explore several aspects of this question theoretically.
I investigate three broad topics in this thesis. First, I focus on how food webs with varying levels of functional diversity across three trophic levels buffer environmental changes, such as a sudden addition of nutrients or long-term changes (e.g. warming or eutrophication). I observed that functional diversity generally enhanced ecological stability (i.e. the buffering capacity of the food web) by increasing trophic coupling. More precisely, two aspects of ecological stability (resistance and resilience) increased even though a third aspect (the inverse of the time required for the system to reach its post-perturbation state) decreased with increasing functional diversity. Second, I explore how several diversity facets served as a raw material for different sources of adaptation and how these sources affected multiple ecosystem functions across two trophic levels. Considering several sources of adaptation enabled the interplay between ecological and evolutionary processes, which affected trophic coupling and thereby ecosystem functioning. Third, I reflect further on the multifaceted nature of diversity by developing an index K able to quantify the facet of functional diversity, which is itself multifaceted. K can provide a comprehensive picture of functional diversity and is a rather good predictor of ecosystem functioning. Finally I synthesise the interdependent mechanisms (complementarity and selection effects, trophic coupling and adaptation) underlying the relationships between multifaceted diversity, ecosystem functioning and the environment, and discuss the generalisation of my findings across ecosystems and further perspectives towards elaborating an operational biodiversity-ecosystem functioning framework for research and conservation.
Homomorphisms are a fundamental concept in mathematics expressing the similarity of structures. They provide a framework that captures many of the central problems of computer science with close ties to various other fields of science. Thus, many studies over the last four decades have been devoted to the algorithmic complexity of homomorphism problems. Despite their generality, it has been found that non-uniform homomorphism problems, where the target structure is fixed, frequently feature complexity dichotomies. Exploring the limits of these dichotomies represents the common goal of this line of research.
We investigate the problem of counting homomorphisms to a fixed structure over a finite field of prime order and its algorithmic complexity. Our emphasis is on graph homomorphisms and the resulting problem #_{p}Hom[H] for a graph H and a prime p. The main research question is how counting over a finite field of prime order affects the complexity.
In the first part of this thesis, we tackle the research question in its generality and develop a framework for studying the complexity of counting problems based on category theory. In the absence of problem-specific details, results in the language of category theory provide a clear picture of the properties needed and highlight common ground between different branches of science. The proposed problem #Mor^{C}[B] of counting the number of morphisms to a fixed object B of C is abstract in nature and encompasses important problems like constraint satisfaction problems, which serve as a leading example for all our results. We find explanations and generalizations for a plethora of results in counting complexity. Our main technical result is that specific matrices of morphism counts are non-singular. The strength of this result lies in its algebraic nature. First, our proofs rely on carefully constructed systems of linear equations, which we know to be uniquely solvable. Second, by exchanging the field that the matrix is defined by to a finite field of order p, we obtain analogous results for modular counting. For the latter, cancellations are implied by automorphisms of order p, but intriguingly we find that these present the only obstacle to translating our results from exact counting to modular counting. If we restrict our attention to reduced objects without automorphisms of order p, we obtain results analogue to those for exact counting. This is underscored by a confluent reduction that allows this restriction by constructing a reduced object for any given object. We emphasize the strength of the categorial perspective by applying the duality principle, which yields immediate consequences for the dual problem of counting the number of morphisms from a fixed object.
In the second part of this thesis, we focus on graphs and the problem #_{p}Hom[H]. We conjecture that automorphisms of order p capture all possible cancellations and that, for a reduced graph H, the problem #_{p}Hom[H] features the complexity dichotomy analogue to the one given for exact counting by Dyer and Greenhill. This serves as a generalization of the conjecture by Faben and Jerrum for the modulus 2. The criterion for tractability is that H is a collection of complete bipartite and reflexive complete graphs. From the findings of part one, we show that the conjectured dichotomy implies dichotomies for all quantum homomorphism problems, in particular counting vertex surjective homomorphisms and compactions modulo p. Since the tractable cases in the dichotomy are solved by trivial computations, the study of the intractable cases remains. As an initial problem in a series of reductions capable of implying hardness, we employ the problem of counting weighted independent sets in a bipartite graph modulo prime p. A dichotomy for this problem is shown, stating that the trivial cases occurring when a weight is congruent modulo p to 0 are the only tractable cases. We reduce the possible structure of H to the bipartite case by a reduction to the restricted homomorphism problem #_{p}Hom^{bip}[H] of counting modulo p the number of homomorphisms between bipartite graphs that maintain a given order of bipartition. This reduction does not have an impact on the accessibility of the technical results, thanks to the generality of the findings of part one. In order to prove the conjecture, it suffices to show that for a connected bipartite graph that is not complete, #_{p}Hom^{bip}[H] is #_{p}P-hard. Through a rigorous structural study of bipartite graphs, we establish this result for the rich class of bipartite graphs that are (K_{3,3}\{e}, domino)-free. This overcomes in particular the substantial hurdle imposed by squares, which leads us to explore the global structure of H and prove the existence of explicit structures that imply hardness.
Among the different meanings carried by numerical information, cardinality is fundamental for survival and for the development of basic as well as of higher numerical skills. Importantly, the human brain inherits from evolution a predisposition to map cardinality onto space, as revealed by the presence of spatial-numerical associations (SNAs) in humans and animals. Here, the mapping of cardinal information onto physical space is addressed as a hallmark signature characterizing numerical cognition.
According to traditional approaches, cognition is defined as complex forms of internal information processing, taking place in the brain (cognitive processor). On the contrary, embodied cognition approaches define cognition as functionally linked to perception and action, in the continuous interaction between a biological body and its physical and sociocultural environment.
Embracing the principles of the embodied cognition perspective, I conducted four novel studies designed to unveil how SNAs originate, develop, and adapt, depending on characteristics of the organism, the context, and their interaction. I structured my doctoral thesis in three levels. At the grounded level (Study 1), I unfold the biological foundations underlying the tendency to map cardinal information across space; at the embodied level (Study 2), I reveal the impact of atypical motor development on the construction of SNAs; at the situated level (Study 3), I document the joint influence of visuospatial attention and task properties on SNAs. Furthermore, I experimentally investigate the presence of associations between physical and numerical distance, another numerical property fundamental for the development of efficient mathematical minds (Study 4).
In Study 1, I present the Brain’s Asymmetric Frequency Tuning hypothesis that relies on hemispheric asymmetries for processing spatial frequencies, a low-level visual feature that the (in)vertebrate brain extracts from any visual scene to create a coherent percept of the world. Computational analyses of the power spectra of the original stimuli used to document the presence of SNAs in human newborns and animals, support the brain’s asymmetric frequency tuning as a theoretical account and as an evolutionarily inherited mechanism scaffolding the universal and innate tendency to represent cardinality across horizontal space.
In Study 2, I explore SNAs in children with rare genetic neuromuscular diseases: spinal muscular atrophy (SMA) and Duchenne muscular dystrophy (DMD). SMA children never accomplish independent motoric exploration of their environment; in contrast, DMD children do explore but later lose this ability. The different SNAs reported by the two groups support the critical role of early sensorimotor experiences in the spatial representation of cardinality.
In Study 3, I directly compare the effects of overt attentional orientation during explicit and implicit processing of numerical magnitude. First, the different effects of attentional orienting based on the type of assessment support different mechanisms underlying SNAs during explicit and implicit assessment of numerical magnitude. Secondly, the impact of vertical shifts of attention on the processing of numerical distance sheds light on the correspondence between numerical distance and peri-personal distance.
In Study 4, I document the presence of different SNAs, driven by numerical magnitude and numerical distance, by employing different response mappings (left vs. right and near vs. distant).
In the field of numerical cognition, the four studies included in the present thesis contribute to unveiling how the characteristics of the organism and the environment influence the emergence, the development, and the flexibility of our attitude to represent cardinal information across space, thus supporting the predictions of the embodied cognition approach. Furthermore, they inform a taxonomy of body-centred factors (biological properties of the brain and sensorimotor system) modulating the spatial representation of cardinality throughout the course of life, at the grounded, embodied, and situated levels.
If the awareness for different variables influencing SNAs over the course of life is important, it is equally important to consider the organism as a whole in its sensorimotor interaction with the world. Inspired by my doctoral research, here I propose a holistic perspective that considers the role of evolution, embodiment, and environment in the association of cardinal information with directional space. The new perspective advances the current approaches to SNAs, both at the conceptual and at the methodological levels.
Unveiling how the mental representation of cardinality emerges, develops, and adapts is necessary to shape efficient mathematical minds and achieve economic productivity, technological progress, and a higher quality of life.
Interpreting high-energy, astrophysical phenomena, such as supernova explosions or neutron-star collisions, requires a robust understanding of matter at supranuclear densities. However, our knowledge about dense matter explored in the cores of neutron stars remains limited. Fortunately, dense matter is not probed only in astrophysical observations, but also in terrestrial heavy-ion collision experiments. Here we use Bayesian inference to combine data from astrophysical multi-messenger observations of neutron stars(1-9) and from heavy-ion collisions of gold nuclei at relativistic energies(10,11) with microscopic nuclear theory calculations(12-17) to improve our understanding of dense matter. We find that the inclusion of heavy-ion collision data indicates an increase in the pressure in dense matter relative to previous analyses, shifting neutron-star radii towards larger values, consistent with recent observations by the Neutron Star Interior Composition Explorer mission(5-8,18). Our findings show that constraints from heavy-ion collision experiments show a remarkable consistency with multi-messenger observations and provide complementary information on nuclear matter at intermediate densities. This work combines nuclear theory, nuclear experiment and astrophysical observations, and shows how joint analyses can shed light on the properties of neutron-rich supranuclear matter over the density range probed in neutron stars.
«Musik erfinden und gestalten» hat grosses musikpädagogisches Potenzial: mit Klängen experimentieren, ein Gespür für dramaturgische Verläufe entwickeln, nonverbal kommunizieren – Musik erfinden und gestalten eröffnet ein breites Feld musikalischer Aktivitäten und Erfahrungsmöglichkeiten. Doch im regulären Musikunterricht in der Volksschule der Schweiz sind produktionsdidaktische Ansätze noch eher die Ausnahme und Musiklehrkräften fehlt es an Anleitungsstrategien.
Für das vorliegende Buch untersuchte der Autor in Form einer Design-based-Research-Studie, wie Primarlehrkräfte ihre Anleitungsstrategien bei der Durchführung von musikalischen Gestaltungsprozessen in ihren Schulklassen schrittweise entwickeln. Dabei begleitete der Forscher die Lehrkräfte in der schulischen Praxis und intervenierte gezielt mit Reflexionsimpulsen, um den Professionalisierungsprozess zu unterstützen.
Daraus wurden drei Reflexionstools generiert: Das Reflexionstool try-outs beinhaltet konkrete Handlungsanregungen und Reflexionsfragen für das Anleiten musikalischer Gestaltungsprozesse. Das Onlinetool improspider ist ein Selbstreflexionsinstrument zur Einschätzung personaler Orientierungen. Das Kompetenzmodell Kompetenzflyer bietet eine Reflexionsfolie für die Ansteuerung eigenständiger Kompetenzerwerbsschritte.
Die Reflexionstools sind außerdem online in Form eines Lernobjekts verfügbar.
The subgenus Laurentomantis in the genus Gephyromantis contains some of the least known amphibian species of Madagascar. The six currently valid nominal species are rainforest frogs known from few individuals, hampering a full understanding of the species diversity of the clade. We assembled data on specimens collected during field surveys over the past 30 years and integrated analysis of mitochondrial and nuclear-encoded genes of 88 individuals, a comprehensive bioacoustic analysis, and morphological comparisons to delimit a minimum of nine species-level lineages in the subgenus. To clarify the identity of the species Gephyromantis malagasius, we applied a target-enrichment approach to a sample of the 110 year old holotype of Microphryne malagasia Methuen and Hewitt, 1913 to assign this specimen to a lineage based on a mitochondrial DNA barcode. The holotype clustered unambiguously with specimens previously named G. ventrimaculatus. Consequently we propose to consider Trachymantis malagasia ventrimaculatus Angel, 1935 as a junior synonym of Gephyromantis malagasius. Due to this redefinition of G. malagasius, no scientific name is available for any of the four deep lineages of frogs previously subsumed under this name, all characterized by red color ventrally on the hindlimbs. These are here formally named as Gephyromantis fiharimpe sp. nov., G. matsilo sp. nov., G. oelkrugi sp. nov., and G. portonae sp. nov. The new species are distinguishable from each other by genetic divergences of >4% uncorrected pairwise distance in a fragment of the 16S rRNA marker and a combination of morphological and bioacoustic characters. Gephyromantis fiharimpe and G. matsilo occur, respectively, at mid-elevations and lower elevations along a wide stretch of Madagascar's eastern rainforest band, while G. oelkrugi and G. portonae appear to be more range-restricted in parts of Madagascar's North East and Northern Central East regions. Open taxonomic questions surround G. horridus, to which we here assign specimens from Montagne d'Ambre and the type locality Nosy Be; and G. ranjomavo, which contains genetically divergent populations from Marojejy, Tsaratanana, and Ampotsidy.
Background
Dysphagia is a major clinical concern in multiple system atrophy (MSA). A detailed evaluation of its major endoscopic features compared with Parkinson's disease (PD) is lacking.
Objective
This study systematically assessed dysphagia in MSA compared with PD and correlated subjective dysphagia to objective endoscopic findings.
Methods
Fifty-seven patients with MSA (median, 64 [interquartile range (IQR): 59-71] years; 35 women) underwent flexible endoscopic evaluation of swallowing using a specific MSA-flexible endoscopic evaluation of swallowing task protocol. Findings were compared with an age-matched cohort of 57 patients with PD (median, 67 [interquartile range: 60-73] years; 28 women). In a subcohort, subjective dysphagia was assessed using the Swallowing Disturbance Questionnaire and correlated to endoscopy findings.
Results
Patients with MSA predominantly showed symptoms suggestive of oral-phase disturbance (premature spillage, 75.4%, piecemeal deglutition, 75.4%). Pharyngeal-phase symptoms occurred less often (pharyngeal residues, 50.9%; penetration/aspiration, 28.1%). In contrast, pharyngeal symptoms were the most common finding in PD (pharyngeal residues, 47.4%). Oral symptoms occurred less frequently in PD (premature spillage, 15.8%, P < 0.001; piecemeal deglutition, 1.8%, P < 0.01). Patients with MSA had a greater risk for oral-phase disturbances with increased disease severity (P < 0.05; odds ratio, 3.15). Patients with MSA showed a significantly higher intraindividual interswallow variability compared with PD. When correlating Swallowing Disturbance Questionnaire scores with endoscopy results, its cutoff, validated for PD, was not sensitive enough to identify patients with MSA with dysphagia. We developed a subscore for identifying dysphagia in MSA and calculated a new cutoff (sensitivity 85%, specificity 100%).
Conclusions
In contrast with patients with PD, patients with dysphagic MSA more frequently present with oral-phase symptoms and a significantly higher intraindividual interswallow variability. A novel Swallowing Disturbance Questionnaire MSA subscore may be a valuable tool to identify patients with MSA with early oropharyngeal dysphagia.