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Anthropogenic activities have a major impact on our planet and rapidly drive biodiversity loss in ecosystems at a global scale. Particularly over the last century, rising CO2 emissions significantly raised global temperatures and increased the intensity and frequency of droughts and heatwaves. Additionally, agricultural land use and fossil fuel combustion contribute to the continuous release of nitrogen (N) and phosphorus (P) into ecosystems worldwide through extensive fertilization and deposition from the atmosphere. It is important to understand how these rapid changes affect the evolution of plant populations and their adaptive potential. Adaptation by natural selection (i.e., adaptive evolution) within a few generations is an essential process as a response to rapid environmental changes. Rapid evolution of plant populations can be detected by using the so-called resurrection approach. Here, diaspores (i.e., seeds) from a population are collected before (ancestors) and after (descendants) a potential selection pressure (e.g., consecutive years of drought or changes in nutrient supply). Comparing phenotypes of ancestors and descendants in a common environment such as an outside garden, greenhouse, or climate chamber, may then reveal evolutionary changes. Ideally, plants are first grown in a common environment for an intermediate refresher generation to reduce parental and storage effects.
The aim of this thesis was to investigate the occurrence of adaptive evolution in natural plant populations in response to rapidly changing environments over the past three decades. I conducted three experiments using the resurrection approach to generate comprehensive data on the adaptive processes that acted on three plant populations from three different species over the last three decades. Furthermore, I filled knowledge gaps in plant evolutionary ecology and conceptually developed the resurrection approach further.
In Chapter I, I performed a novel approach by testing for adaptive evolution in natural plant populations using the resurrection approach in combination with in-situ transplantations. I cultivated seedlings from ancestors (23 – 26 years old) and contemporary descendants of three perennial species (Melica ciliata, Leontodon hispidus and Clinopodium vulgare) from calcareous grasslands in the greenhouse and In Chapter III, I assessed the reproducibility of phenotypic differences between genotypes among three different growth facilities (climate chamber, greenhouse, and outdoor garden). I also evaluated differences in phenotypic expression between plants grown after one vs. two intermediate generations (i.e., refresher generations). I performed this experiment within the framework of the resurrection approach and compared ancestors and descendants of the same population of Leontodon hispidus.
I observed very strong differences among plants growing in the different growth facilities. I found a significant interaction between the growth facility and the temporal origin (ancestors vs. descendants): descendants had significantly larger rosettes than ancestors only in the greenhouse and they flowered significantly later than ancestors exclusively in the climate chamber. I did not find significant differences between intermediate generations within the growth facilities. Overall, Chapter III shows that the use of a particular experimental system can dictate the presence and magnitude of phenotypic differences. This implies that absence of evidence is not evidence of absence when it comes to investigating genetically based trait differentiation among plant origins (in space or time). Experimental systems should be carefully designed to provide meaningful conditions, ideally mimicking the environmental conditions of the population’s origins. Finally, growing a second intermediate generation did not impact the genetic differences of ancestors and descendants within the environments, supporting the idea that only one intermediate generation may be sufficient to reduce detectable parental and storage effects.
The resurrection approach allows a better understanding of rapid plant adaptation, but some limitations deserve to be highlighted. I only studied one population per species, and Chapters II and III only focus on one population of L. hispidus, which is also hampering generalizations, as adaptive potential can vary greatly among populations of the same species. I only compared the ancestral genotypes to one descendant sample with a long time span in between (26 – 28 years), which makes it hard to pinpoint the selection agents that caused the genetic differentiation among the sampling years. Hence, closely monitoring biotic and abiotic factors of the studied populations between the ancestral and descendant sampling in future studies, would make identifying the responsible selection pressures more precise. I also recommend sampling multiple populations over consecutive years to improve the robustness of results and make generalizations more approachable.Furthermore, combining the resurrection approach with other methods such as in-situ transplantations will be valuable to offset the limitation that adaptations cannot be proven under artificial conditions (e.g., in the greenhouse).
Resilienz als Schutzfaktor vor der Entwicklung psychischer Erkrankungen ist angesichts der zunehmenden gesellschaftlichen Belastung durch chronischen Stress und stressassoziierte Folgeerkrankungen ein hochaktuelles Forschungsthema. Obwohl bereits zahlreiche Erhebungen zur Resilienz existieren, herrscht kein Konsens über die konkrete Operationalisierung des Konzepts. In der Folge differieren vorliegende Studienergebnisse stark voneinander, sind nur schwer miteinander vergleichbar und fraglich auf die Gesellschaft zu übertragen. Die vorliegende Arbeit untersucht daher, ob Haarcortisol einen geeigneten Biomarker in der Resilienzforschung darstellt und einen Beitrag zur Vereinheitlichung und Objektivierung dieses Forschungsgebietes leisten kann.
Zur Beantwortung dieser Frage wurde auf die Daten des aktuell laufenden Langzeitforschungsprojekts „Longitudinal Resilience Assessment“ der Universitätskliniken Frankfurt und Mainz aus den Jahren 2017 bis 2019 zurückgegriffen. Alle Proband*innen der psychisch gesunden Stichprobe (N= 192, 18-50 Jahre) füllten zu insgesamt drei Erhebungszeitpunkten nach Studieneinschluss und im Abstand von je drei Monaten Onlinefragebögen zur Ermittlung der aktuell vorherrschenden Stressexposition, der allgemeinen psychischen Gesundheit sowie des subjektiven Stresserlebens aus. Gleichzeitig fand die Entnahme von Haarproben für die Analyse der Haarcortisolkonzentration statt. Zum Studieneinschluss erfolgte ergänzend die Erhebung der Traumatisierung und negativen Erfahrungen im Kindesalter.
Mittels linearer multivariater Regression wurde ein Effekt möglicher anthropometrischer und soziodemographischer Einflussfaktoren auf die Cortisolkonzentration im Haar ausgeschlossen. Ferner wurde die Auswirkung der Lagerungszeit auf die Höhe der Cortisolwerte im Haar untersucht. Es zeigte sich, dass Haarproben mit einer kürzeren Lagerungszeit signifikant höhere Cortisolwerte aufwiesen als solche mit einer längeren Lagerungszeit. Die Stabilität der Cortisolkonzentrationen über die einzelnen Messzeitpunkte hinweg erwies sich dabei insgesamt nur als mäßig hoch. Zur Untersuchung des Zusammenhangs zwischen subjektivem und objektivem Stress, Traumatisierung und negativen kindlichen Erfahrungen, allgemeiner psychischer Gesundheit, Resilienz und HCC wurden Spearman-Rang-Korrelationen angewandt. Auch hier ließen sich keine statistisch signifikanten Zusammenhänge feststellen. Dennoch konnten bei Personen mit einer Veränderung des Stressniveaus während des Beobachtungszeitraumes eine insgesamt deskriptiv erhöhte Stressexposition sowie statistisch signifikant höhere Mengen an Haarcortisol beobachtet werden. Bei weiteren explorativen Datenanalysen innerhalb einer kleinen Subpopulation der Studienstichprobe konnten während des Einwirkens eines intensiven spezifischen Stressors erhöhte HCC-Werte in Verbindung mit schlechteren psychischen Gesundheitsergebnissen gebracht werden.
Auf Grundlage dieser Arbeit lässt sich kein relevanter Einfluss verschiedener Stressvariablen auf die Cortisolkonzentration im Haar ableiten. Auch die individuelle Resilienz steht in keinem Zusammenhang zum HCC. Die Ergebnisse der explorativen Untersuchungen deuten in Zusammenschau mit einer mäßig hohen Stabilität des HCC jedoch darauf hin, dass Haarcortisol ein veränderungssensitiver Biomarker sein kann. Bei intensiver spezifischer Stresseinwirkung steht es in Zusammenhang mit schlechteren Gesundheitsergebnissen und damit indirekt mit der individuellen Resilienz. In zukünftigen Arbeiten sollte untersucht werden, auf welche Weise die Höhe des Haarcortisols Hinweise auf die Auswirkungen einer spezifischen Stressexposition und damit auf den psychischen Gesundheitszustand eines Individuums liefern kann, um so Risikogruppen identifizieren und diese durch frühzeitige Interventionen vor der Entwicklung psychischer Erkrankungen schützen zu können.
The nucleus reuniens drives hippocampal goal‑directed trajectory sequences for route planning
(2023)
Goal-directed spatial navigation requires accurate estimates of one’s position and destination, as well as careful planning of a route between them to avoid known obstacles in the environment. Despite its general importance across species, the neural circuitry supporting the ability for route planning remains largely unclear. Previous studies described that place cells in the hippocampal CA1 encode the animal's next movement direction (Wood et al., 2000; Ito et al., 2015) and upcoming navigational routes (Pfeiffer & Foster, 2013). However, it has been shown that part of the CA1 activity representing the animal’s future behaviors is not necessarily generated in the hippocampus, but is derived from the medial prefrontal cortex (PFC) via the nucleus reuniens of the thalamus (RE) (Ito et al., 2015). Notably, the importance of the PFC in navigation has been demonstrated in several studies, including the recent finding of a goal map in the orbitofrontal cortex (Basu et al., 2021). Therefore, I hypothesized that information flow from the PFC to CA1 via the RE plays a key role in route planning.
To assess the animals' route planning ability, I designed a new navigation task in which a rat has to navigate to a fixed target location from various starting positions in an arena. Furthermore, by adding an L-shaped wall in the maze and removing all light sources in the experimental room, this task forced the animals to plan a wall-avoiding route without relying on direct sensory perceptions. I confirmed that rats could learn this task successfully, memorizing the wall location and taking a smooth wall-avoidance route. To test the role of the RE, I inactivated RE neurons by expressing the inhibitory opsin SwiChR++, which resulted in a significant deficit in the animal’s route planning ability, taking a longer non-smooth path to the destination. By contrast, this manipulation did not affect navigation performance when a straight goal-directed route was available, suggesting a specific role of the RE in route planning. I further found that DREADDs-mediated inactivation of neurons in the bilateral hippocampi resulted in a similar deficit in route planning ability, implying cooperation between the RE and the hippocampus.
I finally examined the activity of hippocampal CA1 neurons with and without RE inactivation. While neurons in the hippocampus exhibited brief trajectory sequences corresponding to the animal’s subsequent goal-directed journey, I found that this goal-directed bias of trajectory events was significantly reduced by RE inactivation, likely associated with route-planning deficits in these animals.
Altogether, this dissertation demonstrates the role of the RE from both behavioral and neural coding perspectives, identifying a pivotal circuit element supporting the animal’s route-planning ability.
In relativistic heavy-ion collisions, a global spin polarization, PH, of Λ and Λ¯ hyperons along the direction of the system angular momentum was discovered and measured across a broad range of collision energies and demonstrated a trend of increasing PH with decreasing sNN−−−√. A splitting between Λ and Λ¯ polarization may be possible due to their different magnetic moments in a late-stage magnetic field sustained by the quark-gluon plasma which is formed in the collision. The results presented in this study find no significant splitting at the collision energies of sNN−−−√=19.6 and 27 GeV in the RHIC Beam Energy Scan Phase II using the STAR detector, with an upper limit of PΛ¯−PΛ<0.24% and PΛ¯−PΛ<0.35%, respectively, at a 95% confidence level. We derive an upper limit on the naïve extraction of the late-stage magnetic field of B<9.4⋅1012 T and B<1.4⋅1013 T at sNN−−−√=19.6 and 27 GeV, respectively, although more thorough derivations are needed. Differential measurements of PH were performed with respect to collision centrality, transverse momentum, and rapidity. With our current acceptance of |y|<1 and uncertainties, we observe no dependence on transverse momentum and rapidity in this analysis. These results challenge multiple existing model calculations following a variety of different assumptions which have each predicted a strong dependence on rapidity in this collision-energy range.
In relativistic heavy-ion collisions, a global spin polarization, PH, of Λ and Λ¯ hyperons along the direction of the system angular momentum was discovered and measured across a broad range of collision energies and demonstrated a trend of increasing PH with decreasing sNN−−−√. A splitting between Λ and Λ¯ polarization may be possible due to their different magnetic moments in a late-stage magnetic field sustained by the quark-gluon plasma which is formed in the collision. The results presented in this study find no significant splitting at the collision energies of sNN−−−√=19.6 and 27 GeV in the RHIC Beam Energy Scan Phase II using the STAR detector, with an upper limit of PΛ¯−PΛ<0.24% and PΛ¯−PΛ<0.35%, respectively, at a 95% confidence level. We derive an upper limit on the naïve extraction of the late-stage magnetic field of B<9.4⋅1012 T and B<1.4⋅1013 T at sNN−−−√=19.6 and 27 GeV, respectively, although more thorough derivations are needed. Differential measurements of PH were performed with respect to collision centrality, transverse momentum, and rapidity. With our current acceptance of |y|<1 and uncertainties, we observe no dependence on transverse momentum and rapidity in this analysis. These results challenge multiple existing model calculations following a variety of different assumptions which have each predicted a strong dependence on rapidity in this collision-energy range.
In relativistic heavy-ion collisions, a global spin polarization, PH, of Λ and Λ¯ hyperons along the direction of the system angular momentum was discovered and measured across a broad range of collision energies and demonstrated a trend of increasing PH with decreasing sNN−−−√. A splitting between Λ and Λ¯ polarization may be possible due to their different magnetic moments in a late-stage magnetic field sustained by the quark-gluon plasma which is formed in the collision. The results presented in this study find no significant splitting at the collision energies of sNN−−−√=19.6 and 27 GeV in the RHIC Beam Energy Scan Phase II using the STAR detector, with an upper limit of PΛ¯−PΛ<0.24% and PΛ¯−PΛ<0.35%, respectively, at a 95% confidence level. We derive an upper limit on the naïve extraction of the late-stage magnetic field of B<9.4⋅1012 T and B<1.4⋅1013 T at sNN−−−√=19.6 and 27 GeV, respectively, although more thorough derivations are needed. Differential measurements of PH were performed with respect to collision centrality, transverse momentum, and rapidity. With our current acceptance of |y|<1 and uncertainties, we observe no dependence on transverse momentum and rapidity in this analysis. These results challenge multiple existing model calculations following a variety of different assumptions which have each predicted a strong dependence on rapidity in this collision-energy range.
In relativistic heavy-ion collisions, a global spin polarization, PH, of Λ and Λ¯ hyperons along the direction of the system angular momentum was discovered and measured across a broad range of collision energies and demonstrated a trend of increasing PH with decreasing sNN−−−√. A splitting between Λ and Λ¯ polarization may be possible due to their different magnetic moments in a late-stage magnetic field sustained by the quark-gluon plasma which is formed in the collision. The results presented in this study find no significant splitting at the collision energies of sNN−−−√=19.6 and 27 GeV in the RHIC Beam Energy Scan Phase II using the STAR detector, with an upper limit of PΛ¯−PΛ<0.24% and PΛ¯−PΛ<0.35%, respectively, at a 95% confidence level. We derive an upper limit on the naïve extraction of the late-stage magnetic field of B<9.4⋅1012 T and B<1.4⋅1013 T at sNN−−−√=19.6 and 27 GeV, respectively, although more thorough derivations are needed. Differential measurements of PH were performed with respect to collision centrality, transverse momentum, and rapidity. With our current acceptance of |y|<1 and uncertainties, we observe no dependence on transverse momentum and rapidity in this analysis. These results challenge multiple existing model calculations following a variety of different assumptions which have each predicted a strong dependence on rapidity in this collision-energy range.
Financial poverty, mobility and social participation are interrelated. This nexus makes old-age poverty a highly relevant issue in terms of transport-related social exclusion in an ageing society. To understand how financial poverty affects older people’s travel practices and how they cope with their limited financial resources, we conducted qualitative interviews with low-income older people (aged 60 and above) in Ronnenberg (Hanover region, Germany). Although all the respondents have comparably limited financial resources, using a practice theory perspective along the elements of materials, competences and meanings (Shove et al., 2012), we identified three different types of low-income older people by their travel practices: (i) active older people with multifaceted social interactions, (ii) neighbourhood-oriented older people with local interactions and (iii) home-centred older people with few social interactions. From our analysis, we conclude that financial poverty shapes each element of low-income older people’s travel practices and thereby increases the risk of transport-related social exclusion: (i) certain materials have to be financed, which is challenging or even impossible due to financial poverty; (ii) meanings of travel practices are strongly linked to other practices, thus, if (also for financial reasons) no or a limited range of destinations are mentioned, travel practices are restricted in their frequency and distance; and (iii) necessary competences to be mobile and engage in social activities despite low financial means seem to be differentially available or - more cautiously formulated – less often utilised by low-income older people, which may lead to them abandoning travel practices and related social activities.
Using 15.6 fb−1 of e+e− collision data collected at twenty-four center-of-mass energies from 4.0 to 4.6 GeV with the BESIII detector, the helicity amplitudes of the process e+e−→π+π−ω are analyzed for the first time. Born cross section measurements of two-body intermediate resonance states with statistical significance greater than 5σ are presented, such as f0(500), f0(980), f2(1270), f0(1370), b1(1235)±, and ρ(1450)±. In addition, evidence of a resonance state in e+e−→π+π−ω production is found. The mass of this state obtained by line shape fitting is about 4.2 GeV/c2, which is consistent with the production of ψ(4160) or Y(4220).
Based on (10.09±0.04)×109 J/ψ events collected with the BESIII detector operating at the BEPCII collider, a partial wave analysis of the decay J/ψ→ϕπ0η is performed. We observe for the first time two new structures on the ϕη invariant mass distribution, with statistical significances of 24.0σ and 16.9σ; the first with JPC = 1+−, mass M = (1911 ± 6 (stat.) ± 14 (sys.))~MeV/c2, and width Γ= (149 ± 12 (stat.) ± 23 (sys.))~MeV, the second with JPC = 1−−, mass M = (1996 ± 11 (stat.) ± 30 (sys.))~MeV/c2, and width Γ = (148 ± 16 (stat.) ± 66 (sys.))~MeV. These measurements provide important input for the strangeonium spectrum. In addition, the f0(980)−a0(980)0 mixing signal in J/ψ→ϕf0(980)→ϕa0(980)0 and the corresponding electromagnetic decay J/ψ→ϕa0(980)0 are measured with improved precision, providing crucial information to understand the nature of a0(980)0 and f0(980).
Although exercise guidelines now recommend exercise for patients with MCI, the long-term effects of exercise in patients with MCI has not been reviewed systematically. The aim was to assess (1) the effectiveness of exercise and physical activity (EXPA) interventions in improving long-term patient-relevant cognitive and non-cognitive outcomes in people with mild cognitive impairment, (2) how well the included trials reported details of the intervention, and (3) the extent to which reported endpoints were in line with patient preferences that were assessed in patient workshops. Following PRISMA guidelines, we performed a systematic review and meta-analysis including randomized controlled trials. A total of ten studies were included after searching in six electronic sources from 1995 onwards. There is a trend that 6 + -month EXPA interventions improve global cognition 12 months after initiation. Evidence on long-term effects of EXPA interventions on non-cognitive health outcomes could not be meaningfully pooled and the individual studies reported mixed results. Workshop participants considered freedom from pain and stress, mood, motivation and self-efficacy to be important, but these outcomes were rarely addressed. Too little information is available on intervention details for EXPA programs to be replicated and confidently recommended for patients with MCI. PROSPERO registration in December, 2021 (CRD42021287166).
Based on (10.09±0.04)×109 J/ψ events collected with the BESIII detector operating at the BEPCII collider, a partial wave analysis of the decay J/ψ→ϕπ0η is performed. We observe for the first time two new structures on the ϕη invariant mass distribution, with statistical significances of 24.0σ and 16.9σ; the first with JPC = 1+−, mass M = (1911 ± 6 (stat.) ± 14 (sys.))~MeV/c2, and width Γ= (149 ± 12 (stat.) ± 23 (sys.))~MeV, the second with JPC = 1−−, mass M = (1996 ± 11 (stat.) ± 30 (sys.))~MeV/c2, and width Γ = (148 ± 16 (stat.) ± 66 (sys.))~MeV. These measurements provide important input for the strangeonium spectrum. In addition, the f0(980)−a0(980)0 mixing signal in J/ψ→ϕf0(980)→ϕa0(980)0 and the corresponding electromagnetic decay J/ψ→ϕa0(980)0 are measured with improved precision, providing crucial information to understand the nature of a0(980)0 and f0(980).
Using a sample of (10087±44)×106 J/ψ events, which is about fifty times larger than that was previously analyzed, a further investigation on the J/ψ→γ3(π+π−) decay is performed. A significant distortion at 1.84 GeV/c2 in the line-shape of the 3(π+π−) invariant mass spectrum is observed for the first time, which is analogous to the behavior of X(1835) and could be resolved by two overlapping resonant structures, X(1840) and X(1880). The new state X(1880) is observed with a statistical significance of 14.7σ. The mass and width of X(1880) are determined to be 1882.1±1.7±0.7 MeV/c2 and 30.7±5.5±2.4 MeV, respectively, which indicates the existence of a pp¯ bound state.
Geometry is part of the core of mathematics. It has been relevant ever since people have interacted with nature and its phenomena. Geometry’s relevance to the teaching and learning of mathematics can be emphasized, too. Nevertheless, a current potential shift in the topics of mathematics education to the detriment of geometry might be emerging. That is, other topics related to mathematics are seeming to grow in importance in comparison to geometry. Despite this, or perhaps because of it, geometry is an important component of current research in mathematics education. In the literature review, we elaborate relevant foci on the basis of current conference proceedings. By means of about 50 journal articles, five main topics are elaborated in more detail: geometric thinking and practices, geometric contents and topics, teacher education in geometry, argumentation and proof in geometry, as well as the use of digital tools for the teaching and learning of geometry. Conclusions and limitations for current and future research on geometry are formulated at the end of the article. In particular, the transfer to the practices of geometric teaching is explored on the basis of the elaborated research findings in order to combine both aspects of the teaching and learning of geometry.
Using 15.6 fb−1 of e+e− collision data collected at twenty-four center-of-mass energies from 4.0 to 4.6 GeV with the BESIII detector, the helicity amplitudes of the process e+e− → π+π−ω are analyzed for the first time. Born cross section measurements of two-body intermediate resonance states with statistical significance greater than 5σ are presented, such as f0(500), f0(980), f2(1270), f0(1370), b1(1235)±, and ρ(1450)±. In addition, evidence of a resonance state in e+e− → π+π−ω production is found. The mass of this state obtained by line shape fitting is about 4.2 GeV/c2, which is consistent with the production of ψ(4160) or Y(4220).
We search for an axion-like particle (ALP) a through the process ψ(3686)→π+π−J/ψ, J/ψ→γa, a→γγ in a data sample of (2.71±0.01)×109 ψ(3686) events collected by the BESIII detector. No significant ALP signal is observed over the expected background, and the upper limits on the branching fraction of the decay J/ψ→γa and the ALP-photon coupling constant gaγγ are set at 95% confidence level in the mass range of 0.165≤ma≤2.84GeV/c2. The limits on B(J/ψ→γa) range from 8.3×10−8 to 1.8×10−6 over the search region, and the constraints on the ALP-photon coupling are the most stringent to date for 0.165≤ma≤1.468GeV/c2.
A light scalar X0 or vector X1 particles have been introduced as a possible explanation for the (g−2)μ anomaly and dark matter phenomena.
Using (8.998±0.039)×109 $\jpsi$ events collected by the BESIII detector, we search for a light muon philic scalar X0 or vector X1 in the processes J/ψ→μ+μ−X0,1 with X0,1 invisible decays. No obvious signal is found, and the upper limits on the coupling g′0,1 between the muon and the X0,1 particles are set to be between 1.1×10−3 and 1.0×10−2 for the X0,1 mass in the range of 1<M(X0,1)<1000~MeV/c2 at 90% confidence level.
Inverse modeling of circular lattices via orbit response measurements in the presence of degeneracy
(2023)
The number and location of beam position monitors (BPMs) and steerers with respect to the quadrupoles in a circular lattice can lead to degeneracy in the context of fitting linear optics and extracting lattice information from measured closed orbits. Furthermore, the measurement uncertainties due to the imperfection of BPMs and steerers can be propagated by the fitting process in ways that prohibit the successful extraction of discrepancies between lattice elements in the real machine and their description in the corresponding model. We systematically studied the influence of the placement of BPMs and steerers on the reconstruction of linear optics and corresponding lattice information. The derivative of orbit response coefficients with respect to the quadrupole strengths, the Jacobian, is derived as an analytical formula. This analytical version of the Jacobian is used to further derive the theoretical limitations of fitting linear optics from closed orbits in terms of the placement of BPMs and steerers. It is further demonstrated that when evaluating the Jacobian during the fitting procedure, the analytical version can be used in place of the conventional finite-difference computation. This allows for greatly improved efficiency when computing the Jacobian during each iteration of the fitting procedure. The approach is tested with large-scale simulations and the findings are verified by measurement data taken on SIS18 synchrotron at GSI Helmholtz Centre for Heavy Ion Research. The presented methods are of general nature and can be applied to other accelerator lattices as well. The fitting procedure by using the analytical Jacobian is tested in conjunction with various methods for mitigating quasidegeneracy and the results agree with those obtained by using the conventional Jacobian via finite-difference approximation.
Wahrnehmung wurde zu Beginn des 20. Jahrhunderts bestimmt als "Organ unseres ursprünglichen Welt-Erlebens." Das ursprüngliche Welterleben war das des Flaneurs, der mit allen Sinnen Umwelt wahrnimmt, um sich zu situieren und aus dieser Verortung Sicherheit und Anderssein zu gewinnen; die Verortung war aber auch über die Individualebene hinaus von politischer, sozialer, ökonomischer und kultureller Bedeutung. Man greift nicht zu hoch, wenn der Vormärz als Zeitspanne betrachtet wird, in der eine vollere Realität in sehr spezifischer Weise greifbar wurde. Die Vielschichtigkeit der Vormärz-Welt war dabei eine konstanter Innovation, die eine Initiierung jener Selbstbilder bedeutete, die über das Wahrnehmen bestätigt wurden, das selbst ein anderes geworden war. Nicht mehr informierte Wahrnehmung über die tautologisch so genannten sozialen Tatsachen; sie schuf diese vielmehr um und damit neu - das Organ des Welterlebens wirkte hier auf die Welt ein und musste Erlebnisse nicht mehr erleiden. Die Erfahrung der Welt-Erlebnisse bestand auch darin, die Sinne als sinnenöffnend zu sehen, indem die theoretische Vorrangstellung des Informationsaspekts der Wahrnehmung zurücktrat und Indices von Engagement, Eingreifen und Emanzipation deutlich werden konnten. Dies bedeutete, eine Form des "Wirklichkeitskontakts" zu suchen, die bisher nicht bestanden hatte. War der Kontakt vorher so geschehen, dass die Sinne eine bestätigende Funktion den sozialen und politischen Valeurs gegenüber einnahmen, die bezogen auf Emanzipationsprozesse und deren Möglichkeit einer Schließung gleichkam, öffnete nun die Veränderung der Wahrnehmung neue Formen des Wirklichkeitskontakts. In diesem Kontakt war vor allem entscheidend, dass nun die Bedingungen der Wahrnehmung ersichtlich wurden, sich als veränderbar auswiesen und nicht mehr im umfassenden Konstrukt "Wahrnehmung" aufgingen.
Wahrnehmung wurde zu Beginn des 20. Jahrhunderts bestimmt als "Organ unseres ursprünglichen Welt-Erlebens." Das ursprüngliche Welterleben war das des Flaneurs, der mit allen Sinnen Umwelt wahrnimmt, um sich zu situieren und aus dieser Verortung Sicherheit und Anderssein zu gewinnen; die Verortung war aber auch über die Individualebene hinaus von politischer, sozialer, ökonomischer und kultureller Bedeutung. Man greift nicht zu hoch, wenn der Vormärz als Zeitspanne betrachtet wird, in der eine vollere Realität in sehr spezifischer Weise greifbar wurde. Die Vielschichtigkeit der Vormärz-Welt war dabei eine konstanter Innovation, die eine Initiierung jener Selbstbilder bedeutete, die über das Wahrnehmen bestätigt wurden, das selbst ein anderes geworden war. Nicht mehr informierte Wahrnehmung über die tautologisch so genannten sozialen Tatsachen; sie schuf diese vielmehr um und damit neu - das Organ des Welterlebens wirkte hier auf die Welt ein und musste Erlebnisse nicht mehr erleiden. Die Erfahrung der Welt-Erlebnisse bestand auch darin, die Sinne als sinnenöffnend zu sehen, indem die theoretische Vorrangstellung des Informationsaspekts der Wahrnehmung zurücktrat und Indices von Engagement, Eingreifen und Emanzipation deutlich werden konnten. Dies bedeutete, eine Form des "Wirklichkeitskontakts" zu suchen, die bisher nicht bestanden hatte. War der Kontakt vorher so geschehen, dass die Sinne eine bestätigende Funktion den sozialen und politischen Valeurs gegenüber einnahmen, die bezogen auf Emanzipationsprozesse und deren Möglichkeit einer Schließung gleichkam, öffnete nun die Veränderung der Wahrnehmung neue Formen des Wirklichkeitskontakts. In diesem Kontakt war vor allem entscheidend, dass nun die Bedingungen der Wahrnehmung ersichtlich wurden, sich als veränderbar auswiesen und nicht mehr im umfassenden Konstrukt "Wahrnehmung" aufgingen.