In this note, we follow the strategy of Haller, Rybicki and Teichmann to give a short, self contained, and elementary proof that Diff0(M) is a perfect group, given a theorem of Herman on diffeomorphisms of the circle.

Huizinga [Hui71] identifies several formal characteristics which games share with magic rituals that are bound to a ”magic circle”. He states that games are explicitly defined by the space within which they take place, the time a game or play lasts, and the rules that are active during the game/play. Participants of a game must freely agree to these changes in their ordinary life to be part of ...

In molecular resolution refutation, the detection of empty clauses is important. We propose a rolling circle amplification-based detection method for resolution refutation. The rolling circle amplification (RCA) technique is known to be able to distinguish and amplify circular DNA. In this paper, we describe the representation of clauses and the RCA-based detection method. Bio-lab experiments s...

We define an abelian group, the conformal cobordism group of hyperbolic structures, which classifies the hyperbolic structures according to whether it bounds a (higher dimensional) conformally flat structure in a conformally invariant way. We then construct a homomorphism from this group to the circle group, using the eta invariant. The homomorphism can be highly nontrivial. It remains an inter...

The official slogan of predicativism is what Russell called the “vicious circle principle”: no class can contain elements which are definable only in terms of the class itself. Another way to say this is that we do not accept any entity which cannot be defined without referring to a class to which it belongs. It is hard to make this principle precise, but the underlying sentiment is that the el...

Although lifestyles are the series of daily practices of social actors in the context of everyday lives, lifestyles are the renewal and inspiration of other plans. Furthermore, these styles can be an opportunity to challenge the established orders and meaning constructions. This research followed the analysis of these phenomena in Dezful using Hermeneutical phenomenology method and interview to...

The objective of the present study was to identify the fundamental factors associated with patient cooperation during orthodontic treatment. A qualitative study was carried out, following a hermeneutical approach, using focus groups as the data collection instrument. Sample selection consisted of adolescent patients undergoing orthodontic treatment at CES University Dental Clinics in Medellin, ...

Martin Buber denied consistently that he was a theologian because he repudiated abstract discourse about God. However, he did affirm that intersubjective events in the world express theological truth, even if that truth cannot be possessed or professed thereafter as noetic content. In this paper I introduce a concept of “embodied theology” to elucidate this nuance in Buber’s religious thought, ...

Design Based Research (DBR) is a new and still-emerging approach to research about design, learning, and allied areas. This article reports one designer’s experiences within a DBR project. Whereas most reports of DBR focus on the outcomes of the design itself, the current paper offers a hermeneutical perspective by focusing on the personal narrative of the designer. Using Edelson’s (2002) categ...