scholarly journals On the properties of k-balancing and k-Lucas-balancing numbers

2017 ◽  
Vol 21 (2) ◽  
pp. 259-274 ◽  
Author(s):  
Prasanta Kumar Ray

The k-Lucas-balancing numbers are obtained from a special sequence of squares of k-balancing numbers in a natural form. In this paper, we will study some properties of k-Lucas-balancing numbers and establish relationship between these numbers and k-balancing numbers.

2014 ◽  
Vol 6 (4) ◽  
Author(s):  
Malgorzata Pogorzelska ◽  
Tomasz Frolowicz ◽  
Pawel Drobnik ◽  
Agnieszka Cybulska ◽  
Iwona Bonislawska ◽  
...  

AbstractBackground: The purpose of the research was to check opinions of students of various stages of education in the Pomeranian province about the attractiveness of Nordic Walking in comparison with other activities.Material/Methods: About 500 intentionally selected students participated in the survey. These were students of 11-18 years of age. Half of them participated in Nordic walking PE lessons. The researched students’ schools were localized in the Pomeranian province in Poland. Methods of a diagnostic survey using two questionnaires were applied. The first one was used to assess the level of students’ physical activity and was also used to research health behaviours of children and adolescents in Europe (HBSC). The second one - our own - was created to asses the attractiveness of Nordic walking. In the first part, the subjects ranked Nordic walking in comparison with other forms of physical activity. In the second part, they declared eagerness to attend such lessons.Results: The collected data imply a vast diversity of students’ opinions about the attractiveness of Nordic walking in comparison with other forms of physical activity and indicate the need to do research in the area of students’ preferences in planning PE lessons at school.Conclusions: It seems that in subsequent years of education, NW will gain followers among this group because it is a natural form of movement, whose health effects are starting to be seen not only by teachers but also by students


2019 ◽  
Vol 18 (3) ◽  
pp. 16-22
Author(s):  
E. K. Gavrilov ◽  
H. L. Bolotokov ◽  
E. A. Babinets

Introduction. It seems relevant to study the ultrasound anatomy and physiology of the proximal valve segments of the superficial femoral vein (SFV) and the great saphenous vein (GSV) to develop effective reconstructive surgical interventions on venous valves in chronic vein diseases.The aim of the survey was to study the ultrasound anatomy of the venous wall, the size and shape of the proximal SFV and GSV valves are normal at rest and during the functional test Valsalva.Material and methods. Proximal valve SFV studies were performed in 144 lower limbs in 115 people (mean age 51.1 ± 14.4 years, 60 women and 55 men), proximal GSV valves studies - in 82 lower limbs in 67 persons (average age 45, 1 ± 13.3 years, 33 women, 34 men). A longitudinal and transverse ultrasound scanning of the femoral vein bifurcation and safenofemoral junction areas were performed, the structures of the proximal SFV and GSV valves were visualized, the valve shape was measured and the diameter of the veins was measured at the level valves at the base of the valves (inlet diameter), at the point of maximum ectasia (diameter of ectasia), at the upper border of the valve (diameter of the outlet), as well as measuring the length of the valve a (length to ectasia, the total length of the valve). The degree of ectasia over the valve was judged by calculating the relative venous diameter change (RVDC).Results. the average diameter of the SFV at the level of the lower boundary of its first valve was 10.01 ± 1.44 mm. The average diameter of the SFV at the level of the maximum ectasia of its first valve was 13,1±2 mm. The average value of the index of RVDC for SFV was 31%±10,4%. An increase in the diameter of the vein in the zone of supravalvular ectasia up to 20% corresponded to the spindle-shaped valve, more than 20% - to the clavate form, which was noted in the majority of the examined. The change in the relative venous diameter of the SFV on the Valsalva test was 38,2%±12,4%. The average diameter of the GSV at the base of the first valves was 6,07±1,25 mm. The average diameter of the GSV at the level of the maximum ectasia of the osteal valve was 9,44±1,69 mm. The average RVDC for GSV was 58%±24%.Conclusion. the natural form of proximal SFV and GSV valves is clavate with presence of the significant supravalvular ectasia, which was noted in the majority of the subjects alone and in all during the performance of the Valsalva functional test.


Author(s):  
Anatolii Petrovich Mykolaiets

It is noted that from the standpoint of sociology, “management — a function of organized systems of various nature — (technical, biological, social), which ensures the preservation of their structure, maintaining a certain state or transfer to another state, in accordance with the objective laws of the existence of this system, which implemented by a program or deliberately set aside”. Management is carried out through the influence of one subsystem-controlling, on the other-controlled, on the processes taking place in it with the help of information signals or administrative actions. It is proved that self-government allows all members of society or a separate association to fully express their will and interests, overcome alienation, effectively combat bureaucracy, and promote public self-realization of the individual. At the same time, wide direct participation in the management of insufficiently competent participants who are not responsible for their decisions, contradicts the social division of labor, reduces the effectiveness of management, complicates the rationalization of production. This can lead to the dominance of short-term interests over promising interests. Therefore, it is always important for society to find the optimal measure of a combination of self-management and professional management. It is determined that social representation acts, on the one hand, as the most important intermediary between the state and the population, the protection of social interests in a politically heterogeneous environment. On the other hand, it ensures the operation of a mechanism for correcting the political system, which makes it possible to correct previously adopted decisions in a legitimate way, without resorting to violence. It is proved that the system of social representation influences the most important political relations, promotes social integration, that is, the inclusion of various social groups and public associations in the political system. It is proposed to use the term “self-government” in relation to several levels of people’s association: the whole community — public self-government or self-government of the people, to individual regions or communities — local, to production management — production self-government. Traditionally, self-government is seen as an alternative to public administration. Ideology and practice of selfgovernment originate from the primitive, communal-tribal democracy. It is established that, in practice, centralization has become a “natural form of government”. In its pure form, centralization does not recognize the autonomy of places and even local life. It is characteristic of authoritarian regimes, but it is also widely used by democratic regimes, where they believe that political freedoms should be fixed only at the national level. It is determined that since the state has achieved certain sizes, it is impossible to abandon the admission of the existence of local authorities. Thus, deconcentration appears as one of the forms of centralization and as a cure for the excesses of the latter. Deconcentration assumes the presence of local bodies, which depend on the government functionally and in the order of subordination of their officials. The dependency of officials means that the leadership of local authorities is appointed by the central government and may be displaced.


Author(s):  
Euzelia Lima de Souza ◽  
Ingrid Lessa Leal ◽  
Marcelo Andres Umsza-Guez ◽  
Bruna Aparecida Souza Machado

Background: Grape (Vitis viniferaL.) is consumed by old world populations in its natural form and is used to produce wine or juice. Currently, China is the largest grape producer in the world. The red grapes stand out because of their phytochemical composition, more specifically their high resveratrol levels. Resveratrol is a compound that has a number of different beneficial effects on health and is mainly used in the food and cosmetic industries. Grape peel is a waste product and new strategies based on nanotechnology can minimize its environmental impact and add value to this residue. Objectives: The first objective of this study was to evaluate the technological potential of utilizing grape peel by researching and analyzing information extracted from patent documents filed worldwide in order to identify the main countries that hold the research technology, the main depositors and inventors, and the main areas of application. The second aim was to research and investigate grape peel products that have been created using nanotechnology. Methods: An analysis of all patented documents related to grape peel processes, products, or different industrial applications that may use nanotechnology was carried out. This was achieved by undertaking a Derwent Innovation Index (DII) database search. Results: A total of 752 patent documents were identified in the surveyed area. These were assessed for depositor country of origin, type of depositor, inventors, evolution of deposits over time, and areas of application. Only 6% of the total represented products and processes in the nanotechnology area. There was a growth in the number of patent filings from 2015, which showed that the researched area is a current and developing technology with new application possibilities. The main depositing countries were China, the United States, and Japan, which dominate the researched technology. The identified documents discussed using grape peel to develop new food, medical and dental products. Conclusion: Over the last few years, different approaches have been suggested for the production of nanoproducts based on grape peel. The results from this study showed that although incipient, nanotechnology is a promising area of research that can be explored by universities and companies because the products could have significant positive characteristics and, even though they are made out of a byproduct, have great application potential.


Author(s):  
Yogita P. Labrath ◽  
Prafulla V. Belge ◽  
Uma G. Kulkarni ◽  
Vilas G. Gaikar

Abstract The turmeric rhizome (Curcuma longa) contains curcuminoids embedded in the starch matrix. It is thus important to target starch hydrolysis to enhance extraction of curcuminoids. In the case of starch hydrolysis, α-amylase is more efficient when the starch is in a gelatinised form than when it is in its natural form. The present work includes hydrolysis of turmeric starch in its natural and gelatinised forms using α-amylase in hydrotrope solution (HS) and scCO2. The optimum rate of starch hydrolysis was obtained using 200 IU cm−3 of α-amylase, at reaction conditions of 6.5 pH at 328 K when 10% w/w of turmeric powder was stirred at 900 rpm in HSs. The hydrolysis in 15 MPa scCO2 at room temperature required a phase modifier and 40 min of residence time (RT). The enzyme treatment of turmeric powder in HSs increased the filtration rate for curcuminoid extraction (gelatinised and native) compared to untreated turmeric powder.


Author(s):  
Kevin Mongrain

This chapter considers the extensive corpus of Hans Urs von Balthasar by treating two architectonic themes in his thought: remembrance and beauty. In the first instance, Balthasar sees theology in modernity—especially in the form of neo-scholasticism—as marked by a failure to remember appropriately some essential principles of Christian tradition, most importantly the inseparability of theology and spirituality in an anti-Gnostic key. In the second instance, the theme of theological aesthetics is treated, initially by placing Balthasar’s conception of a true seeing of natural forms against the background of Goethe’s philosophy. The epiphanic nature of all created being, able to reveal to us the glory of God, and yet obscured from us by sin, lies at the heart of Balthasar’s theology. Ultimately, this theology is Christocentric: the crucified and risen Christ-form becomes a permanent sacramental vehicle of divine grace, restoring our sight of natural form and divine glory.


2014 ◽  
Vol 955-959 ◽  
pp. 419-422
Author(s):  
Gui Lin Liu ◽  
Yan Ping Ding ◽  
Yan Ling Wu ◽  
Wen Zhang

Telomeric DNA of human chromosomes plays a significant role in physiological processes such as cell cycle, aging, cancer and genetic stability due to its special sequence and structure. The research on small molecule ligands targeting G-quadruplex formed by such special sequence has attracted considerable attention, and has achieved great breakthrough. In this paper, we summarize the DNA sequences and structures of three kinds of typical human telomeric G-quadruplex, providing an important reference for further research.


1798 ◽  
Vol 88 ◽  
pp. 346-356 ◽  

T he heart is an organ of so much importance in the animal oeconomy, and is so immediately concerned in the support of life, that any unusual deviation from its natural form and situation in the human body, has always been considered as a subject of some interest by the physiologist; such deviations have, therefore, not unfrequently been submitted to the consideration of this and other learned Societies. Many circumstances respecting the circulation of the blood, and respiration, wholly unknown to our ancestors, have lately been ascertained; but we are not as yet arrived at a perfect knowledge of these important actions. Difficulties yet remain; more information may still be acquired; and the reasoning upon these subjects will be less liable to fallacy, in proportion to the number of facts which have been observed, and the accuracy of the observations.


Aviation ◽  
2021 ◽  
Vol 25 (4) ◽  
pp. 268-277
Author(s):  
Volodymyr Dzyura ◽  
Pavlo Maruschak ◽  
Stoyan Slavov ◽  
Diyan Dimitrov ◽  
Dimka Vasileva

The basic regularities in the influence of processing parameters on the geometrical characteristics of the partially regular microreliefs, formed on the rotary body face surface, are established. Combinations of partially regular microreliefs are formed by using a contemporary CNC milling machine, and an advanced programing method, based on previously developed mathematical models. Full factorial experimental design is carried out, which consist of three factors, varied on three levels. Regression stochastic models in coded and natural form, which give the relations between the width of the grooves and the deforming force, feed rate and the pitch of the axial grooves, are derived as a result. Response surfaces and contour plots are built in order to facilitate the results analysis. Based on the dependencies of the derived regression stochastic models, it is found that the greatest impact on the width of the grooves has the magnitude of the deforming force,followed by the feed rate. Also, it is found that the axial pitch between adjacent toolpaths has the least impact on the width of the grooves. As a result of the full-factorial experiment, the average geometric parameters of the microrelief grooves were obtained on their basis. When used, these values will provide for the required value of the relative burnishing area of the surface with regular microreliefs, and, accordingly, the specified operational properties.


2021 ◽  
pp. 214-235
Author(s):  
Alexey E. Kozlov ◽  

The article examines the phenomenon of spatial imagination in the plot and composition of the allegorical story by the critic and writer, member of the Petrashevsky Circle Nikolai Dmitrievich Akhsharumov. Turning to the most generalized Siberian topos and ignoring the numerous ethnographic information accumulated both in periodicals and in special studies, the writer constructs a dystopian plot, drawing on the novels by N.G. Chernyshevsky and F.M. Dostoevsky. Special attention should be paid to the polemic of Akhsharumov with the novel Crime and Punishment, which began in a critical article and continued beyond its borders, in a literary text. Akhsharumov begins his work from the point and coordinates where Crime and Punishment actually ends. When in a Siberian settlement, a gold digger and hunter, a former convict Lazar implements an educational project: he gives animals a language (according to the method of Robertson and Wundt) and law, teaches them the social principles of community and creates a kind of phalanstery. The social experiment gets out of control and ends in failure: “citizens of the forest” begin to worship the personified symbol of animal primal fear – the Great Fly totem. An uprising flares up to defeat a forcibly cultivated democracy, which yields to authoritarianism and totemism. By choosing the totem of the Great Fly, the forest dwellers finally lose their civic consciousness, appearing in their natural form and at the same time showing that there is no place for people, whoever they are, in their world (neither for life, nor, especially, for resurrection ). Like most dystopias, Citizens of the Forest demonstrates several phases of a social project: the formation of a civil society, its heyday and fall. Akhsharumov shows how the harmony of the animal world flings itself on mercy of one person and the word given to him; how the mass instinct (instincts of survival, reproduction, etc.) prevails over the needs of each individual (cattle or creature, as follows from the text). Citizens of the Forest creates an alternative value architectonics, due to which the life path of the protagonist, largely corresponding to the Old Testament, personifies the non-possibility of the resurrection miracle. The article attempts to describe not only intertextual links to political literature, utopias of Fourier, Cabet and Owen, dystopias in the spirit of Hobbes’ Leviathan, but also biographical lines associated with portraits of the writer’s brother, Fourierist Dmitry Akhsharumov, and M.V. Butashevich- Petrashevsky. Akhsharumov created space from scratch. Turning to the most primitive model of the Siberian text, and starting from strong texts (most likely, Voinarovsky and Crime and Punishment), Akhsharumov intuitively determined its two limits: a short novel, which begins as a story of the New World, ends with a descent into the kingdom of the dead. Siberia, which became a part of an ideological project and showed opportunities for a utopian perception, turned out to be reversible and easily transposed into a dystopia. Thus, despite the low aesthetic quality and numerous formal flaws, Citizens of the Forest remains one of the most significant evidences of spatial imagination, allowing to see in the choice of topos both ideological (from Icaria to Phalanstery) and conditionally biographical equestrianism (from family legends to political jokes). Siberia, as a space of imagination becomes the topos of an experiment continued by the writer in his fantastic story “Wanzamia”, directly replicating Cabet’s “Icaria”.


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