Computability of Julia sets

In this paper we settle most of the open questions on algorithmic computability of Julia sets. In particular, we present an algorithm for constructing quadratics whose Julia sets are uncomputable. We also show that a filled Julia set of a polynomial is always computable.Comment: Revised. To appear in Moscow Math. Journa

Influence of chilled and frozen storage on the stability of trout and herring fillet

Effects of chilled and frozen storage on specific enthalpy (ΔH) and transition temperature (Td) of protein denaturation as well as on selected functional properties of muscle tissue of rainbow trout and herring were investigated. The Td of myosin shifted from 39 to 33 °C during chilling of trout post mortem, but was also influenced by pH. Toughening during frozen storage of trout fillet was characterized by an increased storage modulus of a gel made from the raw fillet. Differences between long term and short term frozen stored, cooked trout fillet were identified by a compression test and a consumer panel. These changes did not affect the Td and ΔH of heat denaturation during one year of frozen storage at –20 °C. In contrast the Td of two myosin peaks of herring shifted during frozen storage at –20 °C to a significant lower value and overlaid finally. Myosin was aggregated by hydrophobic protein-protein interactions. Both thermal properties of myosin and chemical composition were sample specific for wild herring, but were relative constant for farmed trout samples over one year. Determination of Td was very precise (standard deviation <2 %) at a low scanning rate (≤ 0.25 K·min-1) and is useful for monitoring the quality of chilled and frozen stored trout and herring

Desiring under the Proper Guise

According to the thesis of the guise of the normative, all desires are associated with normative appearances or judgments. But guise of the normative theories differ sharply over the content of the normative representation, with the two main versions being the guise of reasons and the guise of the good. Chapter 6 defends the comparative thesis that the guise of reasons thesis is more promising than the guise of the good. The central idea is that observations from the theory of content determination can be used in order to constrain possible theories of the representational contents associated with desire. The authors argue that the initially most promising versions of the guise of the good fail to meet these constraints, and then explain the steep challenge confronting any who wish to craft a new guise of the good theory which meets the constraints while also preserving the initial motivations for adopting any guise of the normative theory at all. But a simple version of the guise of reasons not only avoids the troubles besetting the guise of the good but proceeds immediately from a deep diagnosis of the source of its difficulties

Mapping tori of free group automorphisms are coherent

The mapping torus of an endomorphism \Phi of a group G is the HNN-extension G*_G with bonding maps the identity and \Phi. We show that a mapping torus of an injective free group endomorphism has the property that its finitely generated subgroups are finitely presented and, moreover, these subgroups are of finite type.Comment: 17 pages, published versio