Perspex machine VII: The universal perspex machine

The perspex machine arose from the unification of projective geometry with the Turing machine. It uses a total arithmetic, called transreal arithmetic, that contains real arithmetic and allows division by zero. Transreal arithmetic is redefined here. The new arithmetic has both a positive and a negative infinity which lie at the extremes of the number line, and a number nullity that lies off the number line. We prove that nullity, 0/0, is a number. Hence a number may have one of four signs: negative, zero, positive, or nullity. It is, therefore, impossible to encode the sign of a number in one bit, as floating-, point arithmetic attempts to do, resulting in the difficulty of having both positive and negative zeros and NaNs. Transrational arithmetic is consistent with Cantor arithmetic. In an extension to real arithmetic, the product of zero, an infinity, or nullity with its reciprocal is nullity, not unity. This avoids the usual contradictions that follow from allowing division by zero. Transreal arithmetic has a fixed algebraic structure and does not admit options as IEEE, floating-point arithmetic does. Most significantly, nullity has a simple semantics that is related to zero. Zero means "no value" and nullity means "no information." We argue that nullity is as useful to a manufactured computer as zero is to a human computer. The perspex machine is intended to offer one solution to the mind-body problem by showing how the computable aspects of mind and. perhaps, the whole of mind relates to the geometrical aspects of body and, perhaps, the whole of body. We review some of Turing's writings and show that he held the view that his machine has spatial properties. In particular, that it has the property of being a 7D lattice of compact spaces. Thus, we read Turing as believing that his machine relates computation to geometrical bodies. We simplify the perspex machine by substituting an augmented Euclidean geometry for projective geometry. This leads to a general-linear perspex-machine which is very much easier to pro-ram than the original perspex-machine. We then show how to map the whole of perspex space into a unit cube. This allows us to construct a fractal of perspex machines with the cardinality of a real-numbered line or space. This fractal is the universal perspex machine. It can solve, in unit time, the halting problem for itself and for all perspex machines instantiated in real-numbered space, including all Turing machines. We cite an experiment that has been proposed to test the physical reality of the perspex machine's model of time, but we make no claim that the physical universe works this way or that it has the cardinality of the perspex machine. We leave it that the perspex machine provides an upper bound on the computational properties of physical things, including manufactured computers and biological organisms, that have a cardinality no greater than the real-number line.

Effect of long-term olive oil dietary intervention on postprandial triacylglycerol and factor VII metabolism

Although the beneficial effects of Mediterranean-type diets, which are rich in olive oil, a good source of monounsaturated fatty acids (MUFAs), are generally accepted, little is known about the effects of long-term dietary MUFA intake on postprandial lipoprotein metabolism and hemostasis. This study used a single-blind, randomized, crossover design to investigate the relative effects of a long-term dietary olive oil intervention and a control [saturated fatty acid (SFA)-enriched] diet on postprandial triacylglycerol metabolism and factor VII activity. The postprandial response to a standard test meal was investigated in 23 healthy men who adhered to both diets for 8 wk. cis-MUFAs were successfully substituted for SFAs in the MUFA diet without affecting total dietary fat or energy intakes. The long-term dietary MUFA intervention significantly reduced plasma and LDL-cholesterol concentrations (P = 0.01). Postprandial triacylglycerol concentrations were significantly greater in the early postprandial period after the MUFA diet (P = 0.003). Postprandial factor VII activation and the concentration of the factor VII antigen were significantly lower after the MUFA diet (P = 0.04 and P = 0 006, respectively). This study showed that isoenergetic substitution of MUFAs for SFAs reduces plasma cholesterol and reduces the degree of postprandial factor VII activation. The alterations in the postprandial triacylglycerol response suggest a greater rate of dietary fat absorption and postprandial triacylglycerol metabolism after a diet rich in MUFAs. This study presents new insights into the biochemical basis of the beneficial effects associated with long-term dietary MUFA consumption, which may explain the lower rates of coronary mortality in Mediterranean regions.

The Devil’s Daughters and a question of translation between Occitan and Anglo-Norman French: ‘De las .vii. filhas del diable’ (British Library Add. MS 17920).

The evidence for vernacular-to-vernacular translation is hard to demonstrate in medieval Romance languages. This article analyses a hypothesis published a century ago that there is an identifiable Anglo-Norman source for an Occitan prose text. Both texts spring from a Latin exemplum in which the seven capital vices are personified as the Devil's daughters, married off to seven social categories (the clergy, knights, peasants, etc.). Although the hypothesis is disproved, it remains that the dialogue between Anglo-Norman French and Occitan has been overlooked, and deserves further exploration.

Graduate School and University Center Archives Finding Aid - Record Group VII: CUNY

This is part of the finding aid to the Graduate School and University Center (GSUC) Archives. Record Group VII is materials about the City University of New York, transferred from the Mina Rees Library and the Provost's Office. Also included in this group are the records of the Research Foundation.

Educação e cultura: actas do II Colóquio do Departamento de Ciências da Educação da Universidade da Madeira e VII Colóquio Internacional da Sociedade Europeia de Etnografia da Educação

Universidade da Madeira

Estudos sobre a nutrição mineral do sorgo granífero, VII - efeitos do nitrogênio

Foi conduzido um experimento em casa de vegetação, onde foram estudados os efeitos de N sobre o crescimento e absorção de nutrientes pelo sorgo granífero. As plantas foram cultivadas em solução nutritiva completa ou com nitrogênio diluída a 1/2, 1/5 e 1/10 da concentração usual, e foram colhidas aos 110 dias da emergência, quando foram separadas em raiz, colmo, folhas, raquis e grãos. O material foi secado, moido e foram feitas análises de nitrogênio, fósforo e potássio. Os resultados obtidos permitiram concluir que os níveis de nitrogênio utilizados tiveram efeitos nas produções de matéria seca das plantas, assim como nas quantidades de nitrogênio, fósforo e potássio absorvidas. As cultivares apresertaram reações diferentes aos níveis de nitrogênio.