scholarly journals Simultaneous approximations to p-adic numbers and algebraic dependence via multidimensional continued fractions

Author(s):  
Nadir Murru ◽  
Lea Terracini

AbstractUnlike the real case, there are not many studies and general techniques for providing simultaneous approximations in the field of p-adic numbers $$\mathbb Q_p$$ Q p . Here, we study the use of multidimensional continued fractions (MCFs) in this context. MCFs were introduced in $$\mathbb R$$ R by Jacobi and Perron as a generalization of continued fractions and they have been recently defined also in $$\mathbb Q_p$$ Q p . We focus on the dimension two and study the quality of the simultaneous approximation to two p-adic numbers provided by p-adic MCFs, where p is an odd prime. Moreover, given algebraically dependent p-adic numbers, we see when infinitely many simultaneous approximations satisfy the same algebraic relation. This also allows to give a condition that ensures the finiteness of the p-adic Jacobi–Perron algorithm when it processes some kinds of $$\mathbb Q$$ Q -linearly dependent inputs.

Author(s):  
Miguel Guinalíu ◽  
Javier Marta ◽  
José María Subero

The evolution of society has modified the medical needs of the population from social and economic criteria. Social networks can partially help these new medical demands contributing to improve the life quality of chronic patients and their relatives through the modification of the ways of communication and interaction. In order to analyze the real value of social networks in this chapter the authors study a real case. This analysis allows them to identify the benefits that social networks can provide to chronic patients, as well as the barriers that must be considered to implement them as health service tools.


The author analyzes the reasons that objectively reduce the importance and quality of the organizational and technological solutions of work production plans and the content of their main documents. Based on a generalization of practical experience, one of the real ways of increasing the level of work production plans is proposed as a result of the development of "The Unified Rules for Work Production on the Site" as part of the construction organization project, in the form of fundamental requirements, followed by the inclusion of this document in the work production plan as an input document. The structure and content of the Unified Rules are described with the disclosure of the main documents - calendar plans of work, construction master plans, technological schemes of works. The first section of the document contains requirements for the content of tasks for the development of the project of work execution, the order of its approval, and requirements for the quality of solutions. The second section presents principal solutions, methods of work execution and their technological schemes. The organizational and technological solutions adopted in the proposed document are specified and detailed by the General Contractor Construction Organization with due regard for the resource capabilities and the actual conditions of construction or reconstruction.


2020 ◽  
Vol 10 (2) ◽  
pp. 175
Author(s):  
Nomensen Freddy Siahaan

After a long time was not heard to the public area, lately death penalty toward the criminal cases that classified as extraordinary crime are appear. The author discovers electronic article about the execution of the death penalty which is the prosecutor prepares to execute death penalty toward the drugs dealer. The president of Republic of Indonesia stated that it is necessary to give a deterrent effect to the convicted  criminal and keep the morality of Indonesian teenagers. According to my opinion, the author argues that it will be better and wiser if we discuss about renovating all of the Penitentiary in Indonesia than debating whether death penalty could be done in Indonesia or not, because it will be displeasure many parties, death penalty infringed the human rights of the convicted criminals and cause psychological burden to them, families, the executor of the death penalty, and other parties. Because if we have to improve the quality of the Penitentiary, if the function of Penitentiary for fostering moralily has been optimal or properly enough to the convicted criminals, Indonesia will be no longer need the death penalty option as sanction to the convicted crimanals including for the extraordinary crime (especially for drugs trafficking in our country). Penitentiary is one of the public services which aims for fostering the people that initially have bad habits (commited to the crime), so that they will have the awareness to change their bad attitude into the be better ones, will not harm others, and positively contributed to the society. Already Penitentiary’s conditions should be designed in such a way and as good as possible, so that the inmates feels like at their own home (like having a second home after his own home), and feel humaner to spend their days in the Penitentiary. The author believes that if the Penitentiary has been improved and optimized its function well, then the real purpose of Penitentiary will definitely achieved. As stated in Law Number 12 Year 1995 regarding to Penitentiary Article 2 which states "sanction system are organized in order to fostering the convicted criminals in order to be the real man, aware of their fault, improve themselves, and not to repeat the criminal act so that they can be friendly received by the community, can actively participated in the development of our country, and can socialize themselves as good citizen."Article 3 on this regulation also intensifies the function of Penitentiary "the function of Penitentiary is to prepare convicted criminals to be able to properly integrated to the society, so they can be accepted again as members of the public who are free and responsible ones." 


Author(s):  
Stephen Verderber

The interdisciplinary field of person-environment relations has, from its origins, addressed the transactional relationship between human behavior and the built environment. This body of knowledge has been based upon qualitative and quantitative assessment of phenomena in the “real world.” This knowledge base has been instrumental in advancing the quality of real, physical environments globally at various scales of inquiry and with myriad user/client constituencies. By contrast, scant attention has been devoted to using simulation as a means to examine and represent person-environment transactions and how what is learned can be applied. The present discussion posits that press-competency theory, with related aspects drawn from functionalist-evolutionary theory, can together function to help us learn of how the medium of film can yield further insights to person-environment (P-E) transactions in the real world. Sampling, combined with extemporary behavior setting analysis, provide the basis for this analysis of healthcare settings as expressed throughout the history of cinema. This method can be of significant aid in examining P-E transactions across diverse historical periods, building types and places, healthcare and otherwise, otherwise logistically, geographically, or temporally unattainable in real time and space.


2020 ◽  
pp. 99-104
Author(s):  
S.A. Zaydes ◽  
A.N. Mashukov ◽  
T.Ya. Druzhinina

The contact belt of the gate assembly is the main part of high pressure fittings. The serviceability of the fittings assembly as whole depends on the air-tightness and quality of the mating surfaces. The technology of diamond burnishing allows to increase the interface of the nodes by red ucing the surface roughness of the metal-to-metal seal. The real experience for improving of the fittings contact belt due to the use of diamond burnishing of the nozzles seats and the conical surface of the rods.


Author(s):  
Ashashri Shinde ◽  
Pankaj Gupta ◽  
Sudipt Rath

A quality drug is central to the success of any therapeutic plan. The quality of drug is determined right from the collection to delivery to the patients. The commonest problem involving the medicinal plant stating materials is intentional or unintentional substitution and adulteration owing to multiple reasons like unavailability, higher costs, unfair trade etc. This trend was also present in the olden days, as evident from the concept of substitute drugs (Pratinidhi Dravya) as available in Yogratanakara, Bhavaprakasha and Bhaishajyaratnawali. Therefore, Charka and later Acharyas also have dealt with authentication and standardization of herbal drugs and formulations in detail by using four Pramanas (tools of knowledge) Ch.Vi.8/87. Nowadays the concept of substitution is entirely converted into intentional and unintentional malpractices of adulteration. The established authenticity parameters for plant material identification and standardization like organoleptic, physical, chemical and genetic parameters are relatively inaccessible for routine use. Not withstanding the accuracy and usefulness of these lab parameters and delay in the development of easy to perform parameters for reasonable drug authentication. These adulteration malpractices spoils the market of herbal industries. In this article we discuss about concept of substitution in ancient Ayurveda and at present intentional and unintentional adulteration practices.


2017 ◽  
Vol 7 (12) ◽  
pp. 3
Author(s):  
Jenny Paola Cervera Quintero

Esta investigación muestra las características y estrategias socioeconómicas identificadas en un grupo de famiempresas de confección en Ciudad Bolívar, localidad de Bogotá, con las cuales logran la permanencia de sus negocios y así la reproducción de la vida y la subsistencia de sus familias. Este primer elemento se contrasta con las políticas de consecución de ingresos desarrolladas por los gobiernos distritales en el período 2000-2013, con el fin de encontrar los elementos comunes y el real aporte con el que las políticas sociales y económicas del Distrito benefician la economía popular de la ciudad, teniendo como referencia el grupo de famiempresas con el que se trabajó. Después de obtener un paralelo entre las políticas socioeconómicas del Distrito y las necesidades reales de las famiempresas, se desarrolla un ejercicio práctico aplicando la metodología de Vester como base para la formulación de recomendaciones dirigidas hacia los gobiernos distritales, en las que se manifiestan las prioridades que esta población objetivo espera de la acción institucional para mejorar el desempeño de sus famiempresas y, por ende, el de su consecución de ingresos para mejor su calidad de vida y la de sus familias.ABSTRACTThis research examines the socio-economic characteristics and strategies pertaining to a group of family business in the apparel sector in Ciudad Bolivar (Bogota), which ensures some stability in the business itself and in their families´ livelihood. This first element is contrasted with the policies of resource allocation pursued by Bogota local administrations in the period 2000-2013, in order to identify the real governmental contributions to thelocal economy. Next, a practical exercise is conducted by applying the methodology of Vester as a basis for the formulation of recommendations addressed to the city government; those recommendations depict the priorities that the targeted population expects from the institutional action to improve the performance of their business and to enhance their income to better their quality of life and that of their families. Fecha de recepción: 23 agosto 2016Fecha de aprobación: 15 noviembre de 2016Fecha de publicación: 6 de enero de 2017


2017 ◽  
Vol 1 (1) ◽  
Author(s):  
Arianna Novaga

The Belgian theatre-dance company Ultima Vez – founded by the director and choreographer Wim Vandekeybus – presented Booty Looting in 2012, at the Venice Biennale Danza. On the stage, a complex and apparently disordered narrative rhapsody, brings into play complementary diegetic coefficients: while a story straddles the real and the imaginary, the dancers become consumed actors, the actors dance and live music fills the empty spaces. But the real beating heart of the show is the photographer, who is entrusted with the delicate task of deciphering the feverish dynamism of the scene to move the public's attention elsewhere, as if to give them a relaxing break from the chaos. The photographic image, taken and reported in real time on the screen at the bottom of the stage, freezes some salient moments of that convulsive movement, almost to break it down anatomically into parts of a 'muybridgian' conception. The photographer, always active during the representation, is an integral part of the story, becoming a performer himself so that his intervention determines the dramaturgical development of the plot. The visual quality of the scene is strongly enhanced by live photographic images, which are often attributable to known visual models. Booty looting literally means stealing what has already been the object of theft, exactly as it happens in the art world, according to the perspective of Vandekeybus. Photography is seen here as an instrument that on the one hand makes it useful to prove the reality of facts, but at the same time declares its ability to lie, to deform memory, to create false memories, to become misleading echoes of experiences actually lived. Between truth and deceit, the photographic image plunders the world and gives us the feeling of being able to know and know it in depth - as Susan Sontag teaches - but it is only a distorted memory that confuses and falsifies the real.


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