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...

Mainstream scientific approach to organizational learning (OL) and knowledge (OK) focuses principally on the social aspects of learning and knowledge. Berends & Lammers (2006) explore the dynamics of OL, listing different structured process models that try to captivate the phases of activities that represent organizational learning; The adaptive model The experiential learning circle The social...

A consensus map of science is generated from an analysis of 20 existing maps of science. These 20 maps occur in three basic forms: hierarchical, centric, and noncentric (or circular). The consensus map, generated from consensus edges that occur in at least half of the input maps, emerges in a circular form. The ordering of areas is as follows: mathematics is (arbitrarily) placed at the top of t...

We take two paradigms for information systems development, functionalism and social relativism, and apply their assumptions to the evaluation of ambient information systems. Ambient information Systems research, we posit, comes from two distinct paradigms and this has confounded a single evaluation framework from emerging. Instead, different groups of researchers have specific (if implicit) phi...

Social interactions among a group of friends will typically have a certain recurring rhythm. Most people interact with their own circle of friends at a range of different rates, and through a range of different modalities (by phone, instant messaging, face-to-face meetings etc.). When these naturally recurring interactions are maintained effectively, people feel at ease with the quality and sta...

When information flow fails, when Democrats and Republicans do not talk to each other, when Israelis and Palestinians do not talk to each other, and when North Koreans and South Koreans do not talk to each other, mis-perceptions, biases and fake news arise. In this paper we present an in-depth study of political polarization and social division using Twitter data and Monte Carlo simulations. Fi...