D Ding

We investigate the initial segment complexity of random reals. Let K denote prefix-free Kolmogorov complexity. A natural measure of the relative randomness of two reals α and β is to compare complexity K and K. It is well-known that a real α is 1-random iff there is a constant c such that for all n, Kn−c. We ask the question, what else can be said about the initial segment complexity of random reals. Thus, we study the fine behaviour of K for random α. Following work of Downey, Hirschfeldt and LaForte, we say that αK β iff there is a constant such that for all n, . We call the equivalence classes under this measure of relative randomness K-degrees. We give proofs that there is a random real α so that lim supn K−K=∞ where Ω is Chaitin's random real. One is based upon work of Solovay, and the other exploits a new idea. Further, based on this new idea, we prove there are uncountably many K-degrees of random reals by proving that μ=0. As a corollary to the proof we can prove there is no largest K-degree. Finally we prove that if n ≠ m then the initial segment complexities of the natural n- and m-random sets and Ω︀) are different. The techniques introduced in this paper have already found a number of other applications

We investigate in the frame of TTE the computability of functions of the measurable sets from an infinite computable measure space such as the measure and the four kinds of set operations. We first present a series of undecidability and incomputability results about measurable sets. Then we construct several examples of computable topological spaces from the abstract infinite computable measure space, and analyze the computability of the considered functions via respectively each of the standard representations of the computable topological spaces constructed

We explore corporate environmental accountability by examining how carbon emissions affect voluntary climate-related information disclosure based on TCFD principles. Using computerized textual analysis to measure such climate-related disclosure, our results show that firms with higher levels of carbon emissions disclose more climate-related information. This relation is stronger in firms belonging to carbon-intensive industries, such as energy, materials, and utilities. We also examine this relationship at the category level for Governance, Strategy, Risk Management, and Metrics and Targets, finding that carbon emissions drive disclosure in all categories except in Governance. Overall, our findings indicate that high carbon emitting firms appear to discharge their corporate accountability by increasing climate-related disclosure, consistent with legitimizing their potentially unethical actions and submitting to stakeholder and societal pressure.

The eukaryotic cell is partitioned by membranes into spatially and functionally discrete subcellular organelles. In addition, the cytoplasm itself is partitioned into discrete subregions that carry out specific functions. Such compartmentation can be achieved by localizing proteins and RNAs to different subcellular regions. This review will focus on localized RNAs, with a particular emphasis on RNA localization mechanisms and on the possible biological functions of localization of these RNAs. In recent years, an increasing number of localized RNAs have been identified in a variety of cell types among many animal species. Emphasis here will be on localized RNAs in the most intensively studied systems – Drosophila and Xenopus eggs and early embryos.

The present study constructed a moderated mediation model to examine whether borderline pathological celebrity worship may be associated with higher levels of impulsive buying intent. The mediating role of empathy and the moderating role of gender were also examined. A total of 1,319 participants recruited from a college through the campus network. The results indicated that borderline pathological celebrity worship could positively predict individuals’ impulsive buying intent; the predictive effect of borderline pathological celebrity worship on impulsive buying intent could be mediated by empathy; and gender moderated the predictive effect of borderline pathological celebrity worship on impulsive buying intent. Specifically, relatively higher levels of borderline pathological celebrity worship were found to be associated with higher impulsive buying intent among men. However, this was relatively less significant among women.ConclusionThe results contribute to previous findings by demonstrating that borderline pathological celebrity worship could affect impulsive buying intent. Moreover, the mediating role of empathy and the moderating role of gender were also revealed.