The thermodynamic meaning of negative entropy

The heat generated by computations is not only an obstacle to circuit miniaturization but also a fundamental aspect of the relationship between information theory and thermodynamics. In principle, reversible operations may be performed at no energy cost; given that irreversible computations can always be decomposed into reversible operations followed by the erasure of data, the problem of calculating their energy cost is reduced to the study of erasure. Landauer's principle states that the erasure of data stored in a system has an inherent work cost and therefore dissipates heat. However, this consideration assumes that the information about the system to be erased is classical, and does not extend to the general case where an observer may have quantum information about the system to be erased, for instance by means of a quantum memory entangled with the system. Here we show that the standard formulation and implications of Landauer's principle are no longer valid in the presence of quantum information. Our main result is that the work cost of erasure is determined by the entropy of the system, conditioned on the quantum information an observer has about it. In other words, the more an observer knows about the system, the less it costs to erase it. This result gives a direct thermodynamic significance to conditional entropies, originally introduced in information theory. Furthermore, it provides new bounds on the heat generation of computations: because conditional entropies can become negative in the quantum case, an observer who is strongly correlated with a system may gain work while erasing it, thereby cooling the environment.     

Patterns of colonization in a metapopulation of grey seals

The colonization of a new habitat is a fundamental process in metapopulation biology, but it is difficult to study. The emigration of colonists from established populations might be induced by resource competition owing to high local population density. Migration distances are also important because they determine the frequency and scale of recolonization and hence the spatial scale of the metapopulation. Traditionally, these factors have been investigated with demographic approaches that are labour-intensive and are only possible in amenable species. In many cases, genetic differentiation is minimal, preventing traditional genetic approaches from identifying the source of colonists unambiguously. Here we present a bayesian approach that integrates genetic, demographic and geographic distance data. We apply the method to study the British metapopulation of grey seals, which has been growing at 6% per year over the last few decades. Our method reveals differential recruitment to three newly founded colonies and implicates density-dependent dispersal in metapopulation dynamics by using genetic data.     

Blushing effect of some carbohydrates on the green algaDictyococcus cinnabarinus

Riassunto È studiato l'effetto di arrossamento provocato dall'aggiunta di alcuni zuccheri a colture sommerse dell'alga cloroficeaD. cinnabarinus. Questo effetto è dovuto alla formazione di cheto-carotenoidi, alla diminuzione delle clorofille ed alla degradazione dei cloroplasti. Le osservazioni al microscopio elettronico mettono in evidenza le variazioni della struttura dei cloroplasti.     

The treatment of observations in early astronomy

Communicated by Curtis Wilson     

In Memoriam Pau Hoffmann 1. Juli 1884-9. März 1962

Ohne Zusammenfassung

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In Memoriam Pau Hoffmann 1. Juli 1884-9. März 1962

     

The teachers/practitioners corner the effects of indexing ARMA series using the consumer price index

The authors demonstrate that indexing a time series with an ARMA representation using the Consumer Price Index does not materially alter the ARMA form of the model. They further demonstrate that the forecasting error of the indexed series and of the product of the forecasts of the index and the time series are, for practical purpose, the same. Simulation results are reported for five model classes.     

Gains of glycosylation comprise an unexpectedly large group of pathogenic mutations

Mutations involving gains of glycosylation have been considered rare, and the pathogenic role of the new carbohydrate chains has never been formally established. We identified three children with mendelian susceptibility to mycobacterial disease who were homozygous with respect to a missense mutation in IFNGR2 creating a new N-glycosylation site in the IFNgammaR2 chain. The resulting additional carbohydrate moiety was both necessary and sufficient to abolish the cellular response to IFNgamma. We then searched the Human Gene Mutation Database for potential gain-of-N-glycosylation missense mutations; of 10,047 mutations in 577 genes encoding proteins trafficked through the secretory pathway, we identified 142 candidate mutations ( approximately 1.4%) in 77 genes ( approximately 13.3%). Six mutant proteins bore new N-linked carbohydrate moieties. Thus, an unexpectedly high proportion of mutations that cause human genetic disease might lead to the creation of new N-glycosylation sites. Their pathogenic effects may be a direct consequence of the addition of N-linked carbohydrate.