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An approach to the development of fluorescent probes to follow polymerizations in situ using fluorinated cross-conjugated enediynes (Y-enynes) is reported. Different substitution patterns in the Y-enynes result in distinct solvatochromic behavior. β,β-Bis(phenylethynyl)pentafluorostyrene 7, which bears no donor substituents and only fluorine at the styrene moiety, shows no solvatochromism. Donor substituted β,β-bis(3,4,5-trimethoxyphenylethynyl) pentafluorostyrene 8 and β,β-bis(4-butyl-2,3,5,6-tetrafluorophenylethynyl)-3,4,5-trimethoxystyrene 9 exhibit solvatochromism upon change of solvent polarity. Y-enyne 8 showed the largest solvatochromic shift (94 nm bathochromic shift) upon changing solvent from cyclohexane to acetonitrile. A smaller solvatochromic response (44 nm bathochromic shift) was observed for 9. Lippert–Mataga treatment of 8 and 9 yields slopes of -10,800 and -6,400 cm -1, respectively. This corresponds to a change in dipole moment of 9.6 and 6.9 D, respectively. The solvatochromic behavior in 8 and 9 supports the formation of an intramolecular charge transfer (ICT) state. The low fluorescence quantum yields are caused by competitive double bond rotation. The fluorescence decay time of 9 decreases in methyltetrahydrofuran from 2.1 ns at 77 K to 0.11 ns at 200 K. Efficient single bond rotation in 9 was frozen at -50 °C in a configuration in which the trimethoxyphenyl ring is perpendicular to the fluorinated rings. 7–9 are photostable compounds. The X-ray structure of 7 shows it is not planar and that its conjugation is distorted. Y-enyne 7 stacks in the solid state showing coulombic, actetylene–arene, and fluorine–π interactions.
We exploit time-series $FUSE$ spectroscopy to {\it uniquely} probe spatial structure and clumping in the fast wind of the central star of the H-rich planetary nebula NGC~6543 (HD~164963). Episodic and recurrent optical depth enhancements are discovered in the P{\sc v} absorption troughs, with some evidence for a $\sim$ 0.17-day modulation time-scale. The characteristics of these features are essentially identical to the discrete absorption components' (DACs) commonly seen in the UV lines of massive OB stars, suggesting the temporal structures seen in NGC~6543 likely have a physical origin that is similar to that operating in massive, luminous stars. The mechanism for forming coherent perturbations in the outflows is therefore apparently operating equally in the radiation-pressure-driven winds of widely differing momenta ($\mdot$$v_\infty$$R_\star^{0.5}$) and flow times, as represented by OB stars and CSPN.
Face-to-face communication is multimodal. In unscripted spoken discourse we can observe the interaction of several "semiotic layers", modalities of information such as syntax, discourse structure, gesture, and intonation. We explore the role of gesture and intonation in structuring and aligning information in spoken discourse through a study of the co-occurrence of pitch accents and gestural apices. Metaphorical spatialization through gesture also plays a role in conveying the contextual relationships between the speaker, the government and other external forces in a naturally-occurring political speech setting.
Inhalt: 1 Einleitung 2 Methodologische Überlegungen 3 Das Ende der montanindustriellen Hegemonie 4 Strukturpolitik im post-montanindustriellen Ruhrgebiet 4.1 Akteure und Interessen 4.2 Strukturpolitische Konzepte 4.3 Umsetzungsprobleme und nicht-intendierte Folgen 5 Zusammenfassung und Schlussfolgerungen
Das Projekt „Support for E-Learning“ (SupEr) fokussierte auf die dauerhafte Sicherung eines an der Fachhochschule verankerten Unterstützungsangebotes für Lehrende und Studierende in den Bereichen online-gestützte Lehrveranstaltungen und Veranstaltungsaufzeichnungen (E-Learning). Da dauerhafte personelle Ressourcen an der Fachhochschule begrenzt sind, erprobte das Projekt eine E-Learning Supportstruktur mit Hilfe von Studierenden. Das Supportkonzept betonte die Beratung von Professor/inn/en durch studentische Mitarbeiter/innen und unterschied sich dadurch von Konzepten anderer deutscher Hochschulen.
Der allgegenwärtige Lehrkräftemangel führt deutschlandweit dazu, dass Stellen unbesetzt bleiben und zunehmend angehende Lehrkräfte neben ihrem Studium als Vertretungslehrkräfte (VLK) an Schulen tätig werden. Ziel des geplanten Projekts SuPPort ist es deshalb, die häufig als „unbegleitete Schulpraxiserfahrungen“ bezeichneten Vertretungslehrkrafttätigkeiten der Studierenden für die Professionalisierung der angehenden Lehrkräfte zu nutzen und langfristig die Unterrichtsqualität auch im Vertretungsunterricht zu sichern. Im Projekt wird der Professionalisierungsprozess der VLK mithilfe mehrerer digital vernetzter Angebote, die kurz-, mittel- und langfristig angelegt sind, unterstützt und begleitet. Die Unterstützungsmaßnahmen werden zielgruppenorientiert entwickelt und im Hinblick auf die Qualität für die Professionalisierung im Design-Based-Research-Ansatz in enger Verzahnung mit der Schulpraxis evaluiert und angepasst. Dabei werden insbesondere die Professionalisierungsprozesse in Bezug auf Reflexionskompetenz und Unterrichtsqualität – sowie die Studienmotivation und -zufriedenheit von Lehramtsstudierenden im Kontext unbegleiteter Praxiserfahrungen ausgewertet.
A Hamiltonian system in potential form (formula in the original abstract) subject to smooth constraints on q can be viewed as a Hamiltonian system on a manifold, but numerical computations must be performed in Rn. In this paper methods which reduce "Hamiltonian differential algebraic equations" to ODEs in Euclidean space are examined. The authors study the construction of canonical parameterizations or local charts as well as methods based on the construction of ODE systems in the space in which the constraint manifold is embedded which preserve the constraint manifold as an invariant manifold. In each case, a Hamiltonian system of ordinary differential equations is produced. The stability of the constraint invariants and the behavior of the original Hamiltonian along solutions are investigated both numerically and analytically.
This paper describes the key aspects of the system SynCoP (Syntactic Constraint Parser) developed at the Berlin-Brandenburgische Akademie der Wissenschaften. The parser allows to combine syntactic tagging and chunking by means of constraint grammar using weighted finite state transducers (WFST). Chunks are interpreted as local dependency structures within syntactic tagging. The linguistic theories are formulated by criteria which are formalized by a semiring; these criteria allow structural preferences and gradual grammaticality. The parser is essentially a cascade of WFSTs. To find the most likely syntactic readings a best-path search is used.
This paper presents a system for the detection and correction of syntactic errors. It combines a robust morphosyntactic analyser and two groups of finite-state transducers specified using the Xerox Finite State Tool (xfst). One of the groups is used for the description of syntactic error patterns while the second one is used for the correction of the detected errors. The system has been tested on a corpus of real texts, containing both correct and incorrect sentences, with good results.
The synthesis of galactose clusters that are linked to a steroid moiety by a peptide-like spacer unit is described. The galactose cluster is obtained by Koenigs-Knorr glycosylation of TRIS-Gly-Fmoc (2b) under Helferich conditions. Peptide and ester bonds are formed after activation of carboxylic acids as diphenylthiophene dioxide (TDO) esters. 6a is synthesized in a convergent way by coupling of (Ac4Gal)3-TRIS-Gly (3e) with cholesteryl TDO succinate (5b). Coupling of (Ac4Gal)3-TRIS-Gly hydrogen succinate (3f) with Gly-O-Chol (5d) by means of EEDQ yields 6d. Reaction of (Ac4Gal)3-TRIS-Gly-SUCC-O-TDO (3g) with 25-hydroxycholesterol leads in a linear sequence to the oxysterol derivative 6f. Selective cleavage of the acetyl groups from galactose units yields the known compound 6b and the new derivatives 6e and 6g.
Die Potenziale von standardisierten Testverfahren wie VERA werden von Lehrkräften nur selten im vollen Umfang ausgeschöpft. Vor diesem Hintergrund wurde gemeinsam mit dem Institut für Schulqualität Berlin-Brandenburg auf der Grundlage von realen VERA-Ergebnissen die „VERA-Box“ entwickelt. Die Lerngelegenheit soll Erwartungen und Werte von Lehrkräften im Umgang mit Ergebnissen standardisierter Testverfahren, deren Absicht, Unterricht zukünftig unter Bezug auf solche Testergebnisse zu entwickeln, sowie den differenziellen Nutzen dieser Rückmeldeinformationen stärken. Es wurde experimentell variiert, ob zusätzlich entweder die Aufforderung enthalten war, die Relevanz standardisierter Daten für die spätere Lehrtätigkeit zu reflektieren, oder sich mit negativen Argumentationen zu VERA auseinanderzusetzen. An drei Stichproben von insgesamt 763 Lehramtsstudierenden wurde die „VERA-Box“ über drei Semester erprobt und die Wirksamkeit evaluiert. Die Ergebnisse zeigen, dass die Intention, VERA-Rückmeldungen für die eigene Unterrichtsentwicklung zu nutzen, vom ersten zum zweiten Messzeitpunkt in allen Kohorten signifikant gestärkt wurde.
Sächsische Ubiquität
(2012)
In this paper, we show how the theory of NP completeness can be introduced to students in secondary schools. The motivation of this research is that although there are difficult issues that require technical backgrounds, students are already familiar with demanding computational problems through games such as Sudoku or Tetris. Our intention is to bring together important concepts in the theory of NP completeness in such a way that students in secondary schools can easily understand them. This is part of our ongoing research about how to teach fundamental issues in Computer Science in secondary schools. We discuss what needs to be taught in which sequence in order to introduce ideas behind NP completeness to students without technical backgrounds.
Team diversity
(2007)
Team diversity refers to the differences between team members on any attribute that may lead each single member of the group to perceive any other member of the group as being different from the self of this particular member. These attributes and perceptions refer to all dimensions people can differ on, such as age, gender, ethnicity, religious and functional background, personality, skills, abilities, beliefs, and attitudes.
Nowadays the term "technocracy", which means the elimination of politics by the rule of scientific reasoning, is most often used with a quite negative overtone. Technocrats are described as experts without morals, able to function in any kind of political system. Nevertheless one should remember that the technocratic idea contained from the very beginning a strong ethic element: conventional political power as an instrument of repression should be replaced by the rule of sciences as an instrument to improve human life. Although the idea of eliminating politics by "science-based" decisions of an autocratic leadership has been widely used to legitimate totalitarian rule, it is obvious, that clear technocratic reasoning and decision making do not go conform with the functioning of a totalitarian system. On the contrary, technic and technologic innovation accelerated the breakdown of totalitarianism. The complex character of modern societies calls for regulation by markets and pluralistic political systems. The evolution of our technical civilization improved the conditions for democratic selforganisation.
Temporal propositions are mapped to sets of strings that witness (in a precise sense) the propositions over discrete linear Kripke frames. The strings are collected into regular languages to ensure the decidability of entailments given by inclusions between languages. (Various notions of bounded entailment are shown to be expressible as language inclusions.) The languages unwind computations implicit in the logical (and temporal) connectives via a system of finite-state constraints adapted from finite-state morphology. Applications to Hybrid Logic and non-monotonic inertial reasoning are briefly considered.
Development of competence-oriented curricula is still an important theme in informatics education. Unfortunately informatics curricula, which include the domain of logic programming, are still input-orientated or lack detailed competence descriptions. Therefore, the development of competence model and of learning outcomes' descriptions is essential for the learning process in this domain. A prior research developed both. The next research step is to formulate test items to measure the described learning outcomes. This article describes this procedure and exemplifies test items. It also relates a test in school to the items and shows which misconceptions and typical errors are important to discuss in class. The test result can also confirm or disprove the competence model. Therefore, this school test is important for theoretical research as well as for the concrete planning of lessons. Quantitative analysis in school is important for evaluation and improvement of informatics education.
During the last few years there was a tremendous growth of scientific activities in the fields related to both Physics and Control theory: nonlinear dynamics, micro- and nanotechnologies, self-organization and complexity, etc. New horizons were opened and new exciting applications emerged. Experts with different backgrounds starting to work together need more opportunities for information exchange to improve mutual understanding and cooperation. The Conference "Physics and Control 2007" is the third international conference focusing on the borderland between Physics and Control with emphasis on both theory and applications. With its 2007 address at Potsdam, Germany, the conference is located for the first time outside of Russia. The major goal of the Conference is to bring together researchers from different scientific communities and to gain some general and unified perspectives in the studies of controlled systems in physics, engineering, chemistry, biology and other natural sciences. We hope that the Conference helps experts in control theory to get acquainted with new interesting problems, and helps experts in physics and related fields to know more about ideas and tools from the modern control theory.
We review the effects of clumping on the profiles of resonance doublets. By allowing the ratio of the doublet oscillator strenghts to be a free parameter, we demonstrate that doublet profiles contain more information than is normally utilized. In clumped (or porous) winds, this ratio can lies between unity and the ratio of the f-values, and can change as a function of velocity and time, depending on the fraction of the stellar disk that is covered by material moving at a particular velocity at a given moment. Using these insights, we present the results of SEI modeling of a sample of B supergiants, ζ Pup and a time series for a star whose terminal velocity is low enough to make the components of its Si VIλλ1400 independent. These results are interpreted within the framewrok of the Oskinova et al. (2007) model, and demonstrate how the doublet profiles can be used to extract infromation about wind structure.
The end of culture?
(2000)
The end of the cold war division of the Baltic Sea in 1989, and the three Baltic states’ return to independence in 1991 created new opportunities for the decision-makers of the area, as well as new possibilities for fashioning security in the region. This article will examine the security debate affecting the Baltic Sea region in the post-cold war period, and in particular, the relevance of the European Union to that debate. The following section will examine various concepts of security relevant to the Baltic region; the third section looks at the EU and the Baltic area; and the last part deals with the implications that EU membership by the Baltic Sea states may have for the security of the Baltic Sea zone.
Mass loss is a very important aspect of the life of massive stars. After briefly reviewing its importance, we discuss the impact of the recently proposed downward revision of mass loss rates due to clumping (difficulty to form Wolf-Rayet stars and production of critically rotating stars). Although a small reduction might be allowed, large reduction factors around ten are disfavoured. We then discuss the possibility of significant mass loss at very low metallicity due to stars reaching break-up velocities and especially due to the metal enrichment of the surface of the star via rotational and convective mixing. This significant mass loss may help the first very massive stars avoid the fate of pair-creation supernova, the chemical signature of which is not observed in extremely metal poor stars. The chemical composition of the very low metallicity winds is very similar to that of the most metal poor star known to date, HE1327-2326 and offer an interesting explanation for the origin of the metals in this star. We also discuss the importance of mass loss in the context of long and soft gamma-ray bursts and pair-creation supernovae. Finally, we would like to stress that mass loss in cooler parts of the HR-diagram (luminous blue variable and yellow and red supergiant stages) are much more uncertain than in the hot part. More work needs to be done in these areas to better constrain the evolution of the most massive stars.
We study the influence of clumping on the predicted wind structure of O-type stars. For this purpose we artificially include clumping into our stationary wind models. When the clumps are assumed to be optically thin, the radiative line force increases compared to corresponding unclumped models, with a similar effect on either the mass-loss rate or the terminal velocity (depending on the onset of clumping). Optically thick clumps, alternatively, might be able to decrease the radiative force.
We argue that there is a crucial difference between determiner and adverbial quantification. Following Herburger [2000] and von Fintel [1994], we assume that determiner quantifiers quantify over individuals and adverbial quantifiers over eventualities. While it is usually assumed that the semantics of sentences with determiner quantifiers and those with adverbial quantifiers basically come out the same, we will show by way of new data that quantification over events is more restricted than quantification over individuals. This is because eventualities in contrast to individuals have to be located in time which is done using contextual information according to a pragmatic resolution strategy. If the contextual information and the tense information given in the respective sentence contradict each other, the sentence is uninterpretable. We conclude that this is the reason why in these cases adverbial quantification, i.e. quantification over eventualities, is impossible whereas quantification over individuals is fine.
Starting in 2009, the German state of Saxony distributed sports club membership vouchers among all 33,000 third graders in the state. The policy’s objective was to encourage them to develop a long-term habit of exercising. In 2018, we carried out a large register-based survey among several cohorts in Saxony and two neighboring states. Our difference-in-differences estimations show that, even after a decade, awareness of the voucher program was significantly higher in the treatment group. We also find that youth received and redeemed the vouchers. However, we do not find significant short- or long-term effects on sports club membership, physical activity, overweightness, or motor skills.
This chapter deals with the problem that theories of peace building, conflict resolution and reconciliation were predominately created in the West and, therefore, do not necessarily fit the understanding of peace, conflict, and resolution in non-Western societies and cultures. Within these societies, the acceptance of suffering may also be higher, which leads to different priorities of conflict resolution approaches. Furthermore, this chapter deals with the question of whether the current understanding of wars and the nature of conflict change the basis of established conflict theories. These theoretical approaches are then applied in Sierra Leone as a non-Western negotiation scenario.
Japan launched the new Course of Study in April 2012, which has been carried out in elementary schools and junior high schools. It will also be implemented in senior high schools from April 2013. This article presents an overview of the information studies education in the new Course of Study for K-12. Besides, the authors point out what role experts of informatics and information studies education should play in the general education centered around information studies that is meant to help people of the nation to lead an active, powerful, and flexible life until the satisfying end.
Ethical issues surrounding modern computing technologies play an increasingly important role in the public debate. Yet, ethics still either doesn’t appear at all or only to a very small extent in computer science degree programs. This paper provides an argument for the value of ethics beyond a pure responsibility perspective and describes the positive value of ethical debate for future computer scientists. It also provides a systematic analysis of the module handbooks of 67 German universities and shows that there is indeed a lack of ethics in computer science education. Finally, we present a principled design of a compulsory course for undergraduate students.
Jacob Brandon Maduro’s Memoirs and Related Observations (Havana, 1953) speak to the lasting yet malleable legacy of Jewish Caribbean/Atlantic mercantile communities that defined early modern settlement in the Americas. A close reading of the Memoirs, alongside relevant archival records and community narratives, lends new perspectives to scholarship on Port Jewries and the Atlantic Diaspora. Specifically concerned with Jacob’s adoption of such leading intellectual and political tropes as the Monroe doctrine, José Martí’s Nuestra America, and a Zionism that evolved from an ideology to a reality, the Memoirs reveal a narrative at once defined by the tremendous upheavals of the first half of the 20th century, and an enduring sense of Jewish diasporic peoplehood defined through a Port Jew paradigm whereby the preservation of Jewish ethnicity is understood as synonymous with the championing of modernity.
Recent work has shown that English-learning 18-month-olds can detect the relationship between discontinuous morphemes such as is and -ing in Grandma is always running (Gomez, 2002; Santelmann & Jusczyk, 1998) but only at a maximum of 3 intervening syllables. In this article we examine the tracking of discontinuous dependencies in children acquiring German. Due to freer word order, German allows for greater distances between dependent elements and a greater syntactic variety of the intervening elements than English does. The aim of this study was to investigate whether factors other than distance may influence the child’s capacity to recognize discontinuous elements. Our findings provide evidence that children’s recognition capacities are affected not only by distance but also by their ability to linguistically analyze the material intervening between the dependent elements. We speculate that this result supports the existence of processing mechanisms that reduce a discontinuous relation to a local one based on subcategorization relations.
The traditional purpose of algorithm in education is to prepare students for programming. In our effort to introduce the practically missing computing science into Czech general secondary education, we have revisited this purpose.We propose an approach, which is in better accordance with the goals of general secondary education in Czechia. The importance of programming is diminishing, while recognition of algorithmic procedures and precise (yet concise) communication of algorithms is gaining importance. This includes expressing algorithms in natural language, which is more useful for most of the students than programming. We propose criteria to evaluate such descriptions. Finally, an idea about the limitations is required (inefficient algorithms, unsolvable problems, Turing’s test). We describe these adjusted educational goals and an outline of the resulting course. Our experience with carrying out the proposed intentions is satisfactory, although we did not accomplish all the defined goals.
The Semantics of Ellipsis
(2005)
There are four phenomena that are particularly troublesome for theories of ellipsis: the existence of sloppy readings when the relevant pronouns cannot possibly be bound; an ellipsis being resolved in such a way that an ellipsis site in the antecedent is not understood in the way it was there; an ellipsis site drawing material from two or more separate antecedents; and ellipsis with no linguistic antecedent. These cases are accounted for by means of a new theory that involves copying syntactically incomplete antecedent material and an analysis of silent VPs and NPs that makes them into higher order definite descriptions that can be bound into.
The paper investigates the question of sustainability of capacity building initiatives by reporting about the multiplication training in the frame of DIES NMT Programme on quality assurance in Uganda and how it could make use of the social capital within the existing quality assurance network to sustain and address challenges during its implementation. The purpose of the article is to explore the nature of networking (social and institutional) which was established by the Ugandan Universities Quality Assurance Forum (UUQAF) and share the strategies used in this training experience for future sustainable capacity building training initiatives in emerging economies. The paper employed a qualitative research method to describe and analyse the training framework based on primary and secondary documents.
Thomas Mann und die Romantik
(2013)
Essay über Thomas Mann, sein Verhältnis zur Romantik und die romantischen Elemente in seinem Werk. Die Gliederung des Textes folgt mit sieben Abschnitten dem Vorbild des "Zauberberg" (1924), der eine wichtige Rolle in Peters' Ausführungen spielt. Kommentare zu Thomas Manns Bildungsroman sind eingebettet in Betrachtungen zu der Polarität von Klassik und Romantik oder zu Künstlertum und Bürgertum. Der 4. Abschnitt des Essays befasst sich mit den "himmelblauen" Vorurteilen zur Romantik und hebt die ganzheitliche Weltkonzeption der Romantiker hervor sowie deren humanistisch geprägtes, am Universalmenschen der Renaissance orientiertes Bildungsideal. Das Manuskript von "Thomas Mann und die Romantik" befindet sich im zweiten Heft des Manuskriptes von "Heine Steenhagen wöll ju dat wiesen!" und steht in einem metadiskursiven Verhältnis zu Peters' parodistischem Bildungsroman: im 7. und letzten Kapitel seines Essays befasst sich Peters mit Romantheorie auf der Grundlage von Zitaten aus Novalis und Thomas Mann ("Versuch über das Theater"). Er unterstreicht hier zentrale Merkmale des Bildungsromans und entwickelt so die Poetik zu "Heine Steenhagen".
Timm Kröger
(2012)
Der norddeutsche Schriftsteller Timm Kröger ist in Haale (Kreis Rendsburg-Eckernförde) geboren, einem Dorf, das in nächster Nähe von Luhnstedt, dem Heimatdorf von F.E. Peters, liegt. Peters und Kröger sind sich nie persönlich begegnet, hatten aber gemeinsame Bekannte. „Timm Kröger – der Dichter unserer Heimat“ stammt aus dem Nachlass von F.E. Peters, der ein Bewunderer der Kunst Timm Krögers war und den „besonderen lyrischen Schimmer“ seiner Erzählkunst geliebt hat. Die Rede ist anlässlich des 110. Geburtstages von Timm Kröger entstanden. Peters nimmt das Jubiläum zum Anlass, anhand von Zitaten aus Krögers Vorwort zu einer Gesamtausgabe seiner Werke die Gattung Heimatdichtung kritisch zu beleuchten und zu unterscheiden zwischen einer ideologisch gefärbten schablonenhaften Heimatdichtung und einer Dichtung, welche die Landschaften der Heimat in den Mittelpunkt stellt, das Provinzielle jedoch überwindet: „Es sei zugegeben, dass von sogenannten Heimatdichtern viel plattes Zeug geliefert wird. Darum spreche ich heute von dem Dichter unserer Heimat, nicht von dem Heimatdichter Timm Kröger.“
Topologische Datenanalyse
(2019)
Bei der Analyse von höherdimensionalen Daten kann deren Gestalt wichtige Informationen über den Datensatz liefern. Bei einer gegebenen Punktwolke, die aus einem unbekannten topologischen Raum ausgewählt wurde, versucht die Topologische Datenanalyse (TDA) den ursprünglichen Raum zu rekonstruieren. Dieser Beitrag soll eine Einführung in die Topologische Datenanalyse geben und konzentriert sich dabei auf zwei wichtige Aspekte: die Persistente Homologie und den Mapper. Dabei werden zuerst die notwendigen theoretischen Grundlagen vorgestellt und anschließend wird die Methodik bei der Visualisierung von Daten eingesetzt.
Die Persistente Homologie ist eines der Standardwerkzeuge in der TDA. Sie findet ihre Anwendung beispielsweise in den Bereichen Formerkennung und -beschreibung. Der Mapper als zweites wichtiges Konzept der TDA wandelt umfangreiche, höherdimensionale Datensätze in Simplizialkomplexe um und kann dadurch geometrische und topologische Eigenschaften der Daten bestimmen. Des Weiteren ist die Mapper-Methode ein brauchbares Werkzeug zur Visualisierungen von mehrdimensionalen Daten, woran statistische Verfahren scheitern.