The zero, the centre and the empty utopia: from Rossellini to Walter Salles

This article examines utopian gestures and inaugural desires in two films which became symbolic of the Brazilian Film Revival in the late 1990s: Central Station (1998) and Midnight (1999). Both evolve around the idea of an overcrowded or empty centre in a country trapped between past and future, in which the motif of the zero stands for both the announcement and the negation of utopia. The analysis draws parallels between them and new wave films which also elaborate on the idea of the zero, with examples picked from Italian neo-realism, the Brazilian Cinema Novo and the New German Cinema. In Central Station, the ‘point zero’, or the core of the homeland, is retrieved in the archaic backlands, where political issues are resolved in the private sphere and the social drama turns into family melodrama. Midnight, in its turn, recycles Glauber Rocha’s utopian prophecies in the new millennium’s hour zero, when the earthly paradise represented by the sea is re-encountered by the middle-class character, but not by the poor migrant. In both cases, public injustice is compensated by the heroes’ personal achievements, but those do not refer to the real nation, its history or society. Their utopian breadth, based on nostalgia, citation and genre techniques, is of a virtual kind, attune to cinema only.

A comparative review of skill assessment: performance, prediction and profiling

The assessment of chess players is an increasingly attractive opportunity and an unfortunate necessity. The chess community needs to limit potential reputational damage by inhibiting cheating and unjustified accusations of cheating: there has been a recent rise in both. A number of counter-intuitive discoveries have been made by benchmarking the intrinsic merit of players’ moves: these call for further investigation. Is Capablanca actually, objectively the most accurate World Champion? Has ELO rating inflation not taken place? Stimulated by FIDE/ACP, we revisit the fundamentals of the subject to advance a framework suitable for improved standards of computational experiment and more precise results. Other domains look to chess as the demonstrator of good practice, including the rating of professionals making high-value decisions under pressure, personnel evaluation by Multichoice Assessment and the organization of crowd-sourcing in citizen science projects. The ‘3P’ themes of performance, prediction and profiling pervade all these domains.

A proof of van Aubel's theorem using orthogonal vectors

We show how two linearly independent vectors can be used to construct two orthogonal vectors of equal magnitude in a simple way. The proof that the constructed vectors are orthogonal and of equal magnitude is a good exercise for students studying properties of scalar and vector triple products. We then show how this result can be used to prove van Aubel's theorem that relates the two line segments joining the centres of squares on opposite sides of a plane quadrilateral.