On a family of linear recurrences

We concern ourselves with the family of linear recurrence relations aj = aj−1+aj−d with the initial conditions a0 = . . . = ad−1 = 1. We discuss the periodicity evaluation of such recurrences for prime powers d, and demonstrate that a key feature of our evaluation method relates to an instance of Shor's algorithm for factoring. As an application, we discuss how efficient quantum circuit designs may be completely recast as a problem relating to linear recurrence relations

Establishing the number of distinct stabilizer bases for a quantum qudit error-correcting code

The class of quantum codes called stabilizer codes is increasingly well-understood. The premise of the stabilizer formalism is that a quantum code can be efficiently described by a subgroup of its error group, and, interestingly, the stabilizer formalism permits correspondences with classical linear codes. In this paper, we examine one such correspondence, and we shall use this to establish the number of distinct stabilizer codes that exist for a fixed parametrisation

Civil aircraft advanced avionics architectures - an insight into saras avionics, present and future perspective

Traditionally, the avionics architectures being implemented are of federated nature, which means that each avionics function has its own independent, dedicated fault-tolerant computing resources. Federated architecture has great advantage of inherent fault containment and at the same time envelops a potential risk of massive use of resources resulting in increase in weight, looming, cost and maintenance as well. With the drastic advancement in the computer and software technologies, the aviation industry is gradually moving towards the use of Integrated Modular Avionics (IMA) for civil transport aircraft, potentially leading to multiple avionics functions housed in each hardware platform. Integrated Modular Avionics is the most important concept of avionics architecture for next generation aircrafts. SARAS avionics suite is purely federated with almost glass cockpit architecture complying to FAR25. The Avionics activities from the inception to execution are governed by the regulations and procedures under the review of Directorate General of Civil Aviation (DGCA). Every phase of avionics activity has got its own technically involvement to make the system perfect. In addition the flight data handling, monitoring and analysis is again a thrust area in the civil aviation industry leading to safety and reliability of the machine and the personnel involved. NAL has been in this area for more than two decades and continues to excel in these technologies

From Fibonacci to the mathematics of cows and quantum circuitry

The Fibonacci sequence is a famously well-known integer sequence from the thirteenth century which has transcended its original motivation. It possesses many interested and varied applications within architecture, engineering and science. Less well known is the Narayana sequence which itself has interesting and wide-ranging Fibonacci-type connections. In this paper, we shall recall Narayana's original motivation that gives rise to the sequence bearing his name. We also provide an interesting application of this sequence to the construction to quantum gate circuitry used in quantum computation

Interannual climate variability seen in the Pliocene Model Intercomparison Project

Following reconstructions suggesting weakened temperature gradients along the Equator in the early Pliocene, there has been much speculation about Pliocene climate variability. A major advance for our knowledge about the later Pliocene has been the coordination of modelling efforts through the Pliocene Model Intercomparison Project (PlioMIP). Here the changes in interannual modes of sea surface temperature variability will be presented across PlioMIP. Previously, model ensembles have shown little consensus in the response of the El Niño–Southern Oscillation (ENSO) to imposed forcings – either for the past or future. The PlioMIP ensemble, however, shows surprising agreement, with eight models simulating reduced variability and only one model indicating no change. The Pliocene's robustly weaker ENSO also saw a shift to lower frequencies. Model ensembles focussed on a wide variety of forcing scenarios have not yet shown this level of coherency. Nonetheless, the PlioMIP ensemble does not show a robust response of either ENSO flavour or sea surface temperature variability in the tropical Indian and North Pacific oceans. Existing suggestions linking ENSO properties to to changes in zonal temperature gradient, seasonal cycle and the elevation of the Andes Mountains are investigated, yet prove insufficient to explain the consistent response. The reason for this surprisingly coherent signal warrants further investigation

The Presence and Consequences of Abortion Aversion in Scientific Research Related to Alcohol Use during Pregnancy.

Recent research has found that most U.S. state policies related to alcohol use during pregnancy adversely impact health. Other studies indicate that state policymaking around substance use in pregnancy-especially in the U.S.-appears to be influenced by an anti-abortion agenda rather than by public health motivations. This commentary explores the ways that scientists' aversion to abortion appear to influence science and thus policymaking around alcohol and pregnancy. The three main ways abortion aversion shows up in the literature related to alcohol use during pregnancy include: (1) a shift from the recommendation of abortion for "severely chronic alcoholic women" to the non-acknowledgment of abortion as an outcome of an alcohol-exposed pregnancy; (2) the concern that recommendations of abstinence from alcohol use during pregnancy lead to terminations of otherwise wanted pregnancies; and (3) the presumption of abortion as a negative pregnancy outcome. Thus, abortion aversion appears to influence the science related to alcohol use during pregnancy, and thus policymaking-to the detriment of developing and adopting policies that reduce the harms from alcohol during pregnancy

Mechanism of Tantra in the Light of Buddhism: A Means to Enlightenment (Society for New Testament Studies)

Tantra means knowledge of methodical and mechanical investigational-technique through which we develop our consciousness and faculties of consciousness. It is also a process through which we can able to be realized our inherent spiritual powers. The term “Tantra” has been derived from the Sanskrit term “Tan” which means to “Magnify” or to “Outspread”. People use Tantra in a very mechanical way to transform their personality from animalhood to divinity. Basically, in the school of Buddhism, Tantra has developed a system of thought which makes us see the universe as if it were within ourselves, and ourselves as if we were within the universe. In addition, we can argue that the forces governing the cosmos on the macro-level are believed to govern the individual in the micro-level. According to Tantra, there is a pyramid among individual being and universal being rather both sides are same. Thus all that exists in the universe must also exist in the individual body. It means we are all one under the umbrella of the sky. According to Buddhism, Tantra is the best way to salvation. Because, through the mechanism of Tantra, people can overcome to ignorance and affection towards the material world and can achieve wisdom

The role of social media in the collaboration, interaction, co-creation and co-delivery of a social venture in an uncertain conflict environment

This research case study examines the creation and development of a bottom-up social enterprise immediately after the outbreak of a civil war in an Arab country by a group of young patriots in the aftermath of the Arab Spring uprisings in the 2010s. Drawing on Linders’ (2012) model of social action lifecycle, our study examines how different actors become involved and co-created a socially entrepreneurial venture (SEV), how these actors contributed to the coproduction and co-delivery of the social actions (values) over time, and how social media play roles in these processes. Drawing from the empirical evidences of citizen co-production within the existing literature, we found that SEVs operate in very different ways in which the role of social media is critical, both from their equivalents operating in a penurious but stable environment, and those intending to pursue political action within a conflict situation. In our case study, social media was not intended for mass-mobilisation, but for selected mobilisation amongst those within the network. This is due to the insecure environment and the fear of infiltration from opposing parties. We also examine how new actors were, over time, being carefully screened and selected, and potential harmful existing players being excluded, which in turn contributed to the evolving nature of the social enterprises