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It therefore provides an interesting example of a flip distance question that is computationally intractable despite having a natural interpretation as a geodesic on a nicely structured combinatorial polytope. We also consider the dual question of the flip distance between graph orientations in which every cycle has a specified number of forward edges, and a flip is the reversal of all edges in a minimal directed cut. In general, the problem remains hard. However, if we restrict to flips that only change sinks into sources, or vice-versa, then the problem can be solved in polynomial time. Here we exploit the fact that the flip graph is the cover graph of a distributive lattice. This generalizes a recent result from Zhang et al. (Acta Math Sin Engl Ser 35(4)569-576, 2019).In this paper, we convert the recent COVID-19 model with the use of the most influential theories, such as variable fractional calculus and fuzzy theory. We propose the fuzzy variable fractional differential equation for the COVID-19 model in which the variable fractional-order derivative is described using the Caputo-Fabrizio in the Caputo sense. Furthermore, we provide the results on the existence and uniqueness using Lipschitz conditions. Also, discuss the stability analysis of the present new COVID-19 model by employing Hyers-Ulam stability.The COVID-19 pandemic has resulted in many changes in the way research is conducted. Some specific groups (e.g. women) and activities (e.g. teaching) may have been disproportionally affected. Our aim was to assess the impact of the COVID-19 pandemic on animal behaviour and welfare researchers' work experience and productivity, focussing on gender, care role, career stage and teaching load. An online survey asked researchers about childcare, research and teaching load and associated changes due to the pandemic, among others, and included the Perceived Stress Scale (PSS) and the Inventory of Socially Supportive Behaviours (ISSB). From June-July 2020, 117 completed responses were received from 28 countries. Time available for writing papers and grants either increased (36 %), decreased (31 %) or these tasks were halted completely (12 %). Perceived productivity was significantly lower for caregivers (P less then 0.001) and for men as compared to women (P less then 0.001); and low productivity was associated with more stress (higher PSS P less then 0.001). Respondents' experience of the pandemic related to the PSS (b = -0.03 ± 0.02; P = 0.03) and to self-assessed personality traits (P = 0.01). The average PSS of 21 ± 6.5 was greater than the reference value of 15, and was higher when respondents had low job security (P less then 0.001) and when they more strongly characterised themselves as perfectionists, hard-working, empathetic and worried (P = 0.02). Respondents who had an intense care role received most social support (P = 0.04). Teaching load increased for 25 % of the respondents but did not significantly relate to any of the response variables. Overall, caregivers and early career researchers faced the most difficulties, and personality traits had a major impact on the ability to cope with the changes caused by the pandemic.How can the Chinese emissions trading scheme (ETS) be redesigned or improved to better address issues of fairness and equity, innovation and learning, and awareness and social acceptance? In order to meet its 2030 carbon emission reduction pledges, the Chinese government has announced plans for a fully implementable national carbon ETS after 2020. This scheme is set to become the world's most significant carbon trading market and it could cover half of all Chinese CO2 emissions (as much as 4 billion tons of carbon dioxide). In this study, we qualitatively analyze the Chinese ETS through the lens of three interconnected themes-equity, innovation, and awareness-which are disaggregated into six specific dimensions. We then explore these themes and dimensions with a mixed methods and original research design involving a survey of 68 Chinese experts as well as 34 semi-structured research interviews with respondents from local governments, financial institutions, technology service companies, universities, industries, and civil society groups. We find that uneven economic and social growth could exacerbate any initial permits allocation scheme that could be a cornerstone for an ETS. Substantial technological and institutional uncertainties exist that could also hamper development and enforcement. Low or negative awareness among the public and private sector were identified as also being significant barriers for ETS implementation.The present study was designed to examine acculturation trajectories of first-generation, Latino immigrant youth and their parents in an emerging immigrant context. We also examined whether acculturation trajectories differed between families with youth who migrated at different stages of development and who have spent differential amounts of time in the United States (US). A community sample of 217 immigrant families in western Oregon was purposely sampled according to youths' age at arrival and time in US residency (TR) and assessed three times over a 3-year period. Families were stratified into three TR groups TR1 = 2-4 years spent in the US; TR2 = 6-8 years spent in the US; and TR3 = 10-12 years. fMLP Parents and youth in each TR group completed measures assessing their acculturation to US American and Latino culture. Results from multiple-group latent growth models showed that acculturation trajectories differed for both youth and parents depending on the TR group. Moreover, both youth and their parents within each TR group differed in their acculturation trajectories. Overall, although youth slowly gravitated toward biculturalism over time, their parents remained relatively separated such that they reported high endorsement of their heritage culture and low endorsement of US culture over time. Findings are discussed in terms of prior research and theory.Malware is a blanket term for Trojan, viruses, spyware, worms, and other files that are purposely created to harm computers, mobile devices, or computer networks. Malware commonly steals, encrypts, damages, and causes a mess in these devices. The growth of malware attacks has a consequence on the growth and attractiveness of mobile features in mobile devices. Most malware research aims to probe the different methods of preventing, analysing, and detecting malware attacks. This paper aims to demonstrate an exhaustive knowledge map of the Android malware by collecting a ten (10) year dataset from the Web of Science database. A bibliometric analysis was employed for analysing articles published between 2010 and 2019. Using the keyword "malware", 5622 articles were retrieved. After scrutinising with the keywords of "Android malware", 1278 articles were then collected. This study provides an overview of the articles, productivity, research area, the Web of Science categories, authors, high-cited articles, institutions, and impact journals examining malware.

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