The purpose of our research is to enhance the efficiency of AI problem solvers by automating representation changes. We have developed a system that improves the description of input problems and selects an appropriate search algorithm for each given problem. Motivation. Researchers have accumulated much evidence on the impor tance of appropriate representations for the efficiency of AI systems. The same problem may be easy or difficult, depending on the way we describe it and on the search algorithm we use. Previous work on the automatic im provement of problem descriptions has mostly been limited to the design of individual learning algorithms. The user has traditionally been responsible for the choice of algorithms appropriate for a given problem. We present a system that integrates multiple description-changing and problem-solving algorithms. The purpose of the reported work is to formalize the concept of representation and to confirm the following hypothesis: An effective representation-changing system can be built from three parts: * a library of problem-solving algorithms; * a library of algorithms that improve problem descriptions; * a control module that selects algorithms for each given problem.

Restricted-orientation convexity is the study of geometric objects whose intersections with lines from some fixed set are connected. This notion generalizes standard convexity and several types of nontraditional convexity. The authors explore the properties of this generalized convexity in multidimensional Euclidean space, and describ restricted-orientation analogs of lines, hyperplanes, flats, halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. They then introduce the notion of strong restricted-orientation convexity, which is an alternative generalization of convexity, and show that its properties are also similar to that of standard convexity.

Eugen Fink is considered one of the clearest interpreters of phenomenology and was the preferred conversational partner of Edmund Husserl and Martin Heidegger. In Play as Symbol of the World, Fink offers an original phenomenology of play as he attempts to understand the world through the experience of play. He affirms the philosophical significance of play, why it is more than idle amusement, and reflects on the movement from "child's play" to "cosmic play." Well-known for its nontechnical, literary style, this skillful translation by Ian Alexander Moore and Christopher Turner invites engagement with Fink's philosophy of play and related writings on sports, festivals, and ancient cult practices.

Restricted-orientation convexity is the study of geometric objects whose intersections with lines from some fixed set are connected. This notion generalizes standard convexity and several types of nontraditional convexity. The authors explore the properties of this generalized convexity in multidimensional Euclidean space, and describ restricted-orientation analogs of lines, hyperplanes, flats, halfspaces, and identify major properties of standard convex sets that also hold for restricted-orientation convexity. They then introduce the notion of strong restricted-orientation convexity, which is an alternative generalization of convexity, and show that its properties are also similar to that of standard convexity.

In Germany, 1969, Eugen Fink's Fashion: Seductive Play was published. This first English language edition, updated with an introduction by Stefano Marino and Giovanni Matteucci, makes available Fink’s philosophical investigation into fashion to an English-speaking audience. One of the greatest figures in the “phenomenological movement,� Fink here investigates fashion at various philosophical levels - aesthetic, ethical, social - and in relationship to other forms of human culture, especially contemporary culture. Although there have been many transformations and changes in the world of fashion since the late 1960s, from prêt-à-porter to fast fashion, fashion’s connection to both high culture and popular culture, and the new relationship between fashion and the advent of social media, Fink’s insights allow wide-ranging and far-reaching inquiries into fashion's philosophical essence. Fink's extraordinary lucidity and his unique conceptual capacities have made his work crucial to the study of the philosophy of fashion today. His work, like that of Simmel’s, Veblen’s or Benjamin’s, is as essential and important now as when it was first published.

The purpose of our research is to enhance the efficiency of AI problem solvers by automating representation changes. We have developed a system that improves the description of input problems and selects an appropriate search algorithm for each given problem. Motivation. Researchers have accumulated much evidence on the impor tance of appropriate representations for the efficiency of AI systems. The same problem may be easy or difficult, depending on the way we describe it and on the search algorithm we use. Previous work on the automatic im provement of problem descriptions has mostly been limited to the design of individual learning algorithms. The user has traditionally been responsible for the choice of algorithms appropriate for a given problem. We present a system that integrates multiple description-changing and problem-solving algorithms. The purpose of the reported work is to formalize the concept of representation and to confirm the following hypothesis: An effective representation-changing system can be built from three parts: * a library of problem-solving algorithms; * a library of algorithms that improve problem descriptions; * a control module that selects algorithms for each given problem.

1) vgl., 50phistes" 248c4 - 253c3 und 254b7-257aI2. 2) Heidegger, Brief uber den "Humanismus"; s. in "Platons Lehre von der Wahrheit", Bern 1947,5.53. 3) 5. Diels "Fragmente der Vorsokratiker"6, Berlin 1951; Parmenides B l. 4) Reinhardt "Parmenides und die Geschichte der griechischen Philosophie", Bonn 1916, 5.32 ff.; zu dem Verhaltnis der beiden "Teile" des Gedichts ist u.a. zu vergleichen: Frankel "Parmenidesstudien" (Goetting. Nachr. 1930, 5.153 ff.), Abschnitt IV und V; Calogero, 5tudi sull' Eleatismo, Rom 1932; Riezler "Par- menides", Frankfurt 1934 (dazu die Rezension von Gadamer in "Gnomon" XII 1936,5.77 ff.); Jaeger "Die Theologie der fruhen griechischen Denker", 5tutt- gart 1953,5.123 f.. 5) B 8,1 '" !J.6 o i3't;, t-'"u'&? o ?, Io A L7tE'Tct, L w,, O'''n .. ., 6) B 8,2 ... "t"lXu--nJI Il zm

"Ronald Bruzina's superb translation . . . makes available in English a text of singular historical and systematic importance for phenomenology." —Husserl Studies ". . . a pivotal document in the development of phenomenology . . . essential reading for students of phenomenology twentieth-century thought." —Word Trade " . . . an invaluable addition to the corpus of Husserl scholarship. More than simply a scholarly treatise, however, it is the result of Fink's collaboration with Husserl during the last ten years of Husserl's life. . . . This truly essential work in phenomenology should find a prominent place alongside Husserl's own works. For readers interested in phenomenology—and in Husserl in particular—it cannot be recommended highly enough." —Choice " . . . a thorough critique of Husserl's transcendental phenomenology . . . raises many new questions. . . . a classic." —J. N. Mohanty A foundational text in Husserlian phenomenology, written in 1932 and now available in English for the first time.