122 research outputs found
Simple dynamical systems
No full text[EN] In this paper, we study the class of simple systems on R induced by homeomorphisms having finitely many non-ordinary points. We characterize the family of homeomorphisms on R having finitely many non-ordinary points upto (order) conjugacy. For x,y ∈ R, we say x ∼ y on a dynamical system (R,f) if x and y have same dynamical properties, which is an equivalence relation. Said precisely, x ∼ y if there exists an increasing homeomorphism h : R → R such that h ◦ f = f ◦ h and h(x) = y. An element x ∈ R is ordinary in (R,f) if its equivalence class [x] is a neighbourhood of it.The first author acknowledges UGC, INDIA for financial support.Ali Akbar, K.; Kannan, V.; Subramania Pillai, I. (2019). Simple dynamical systems. Applied General Topology. 20(2):307-324. https://doi.org/10.4995/agt.2019.7910SWORD307324202L. S. Block and W. A. Coppel, Dynamics in One Dimension, Volume 1513 of Lecture Notes in Mathematics, Springer-Verlag, Berline, 1992. https://doi.org/10.1007/BFb0084762L. Block and E. Coven, Topological conjugacy and transitivity for a class of piecewise monotone maps of the interval, Trans. Amer. Math. Soc. 300 (1987), 297-306. https://doi.org/10.1090/S0002-9947-1987-0871677-XM. Brin and G. Stuck, Introduction to Dynamical Systems, Cambridge University Press, 2002. https://doi.org/10.1017/CBO9780511755316R. L. Devaney, An Introduction to Chaotic Dynamical Systems, Addison-Wesley Publishing Company Advanced Book Program, Redwood City, CA, second edition, 1989.R. A. Holmgren, A First Course in Discrete Dynamical Systems, Springer-Verlag, New York, 1996. https://doi.org/10.1007/978-1-4419-8732-7S. Sai, Symbolic dynamics for complete classification, Ph.D Thesis, University of Hyderabad, 2000.B. Sankara Rao, I. Subramania Pillai and V. Kannan, The set of dynamically special points, Aequationes Mathematicae 82, no. 1-2 (2011), 81-90. https://doi.org/10.1007/s00010-010-0066-6A. N. Sharkovskii, Coexistence of cycles of a continuous map of a line into itself, Ukr. Math. Z. 16 (1964), 61-71
Toward a Philosophy of Good Life in Tirukkuṟaḷ (An Analysis of the concept of Aṟam and Its Relation to other asp ects of Good Life)
No full textThe present work is concerned with the explication of a philosophy of good life that could possibly be discerned in the ancient Tamil classic, Tirukkuṟaḷ. Though the Classic itself does not go into the details of 'definitions' and analysis of 'rival views', on a careful study of the text and the commentaries - both classical and modern -- we find that the Classic incorporates a philosophy of good life which is at once reflective of the Indian view-point and is also suggestive of newer approaches and perspectives. The argument of the thesis is that the philosophy of good life found in the Kuṟaḷ is directly derivable from the philosophy of religion inherent in it. The method adopted by the author of the Kuṟaḷ to get at the essence of religion, we have argued, is not by referring abstractly to religion per se but by accepting certain aspects and rejecting certain other aspects of the religions current in the Indian scene during his time. The methodology adopted by Tiruvaḷḷuvar, the author of the Tamil classic, when investigated, reveals that it is not possible to label the Classic either as a Brahmanical Hindu work or as a Jaina work or as a Buddhist work. Hence, after indicating our own methodology study in chapter 1, we have examined the relationship between Tirukkuṟaḷ on the one hand and the three Indian traditions on the other, in chapter 2. We have arrived at the conclusion that the Kuṟaḷ, without rejecting in toto, Brahmanical Hindu ideas, Jaina ideas and the Buddhist ideas, accepts aspects of them which do not smack of a sectarian character, and makes subtle but significant modifications in them all to arrive at the essence of religion. Tiruvaḷḷuvar seems to imply that the essence of religion consists in aiming at and realizing the Good. The good life, from this point of view is seen to stand for a transcendent goal inherent in human life which, all the same cannot be realized in a sphere distinct from or outside of life in society. In its barest outlines: our argument is that the qualitative improvements to life in society that a prime moral principle effectuates, when adhered to, indicates aspects of the good life. We have suggested that both the ultimate Ideal and the idealizations of inter-personal relations in society help the individual in realizing the Good. In more specific terms: the realization of the ultimate Ideal itself is synonymous with realizing ideal perfectibility in the 'more immediate' spheres of life in society. Such a philosophy of Good life, characteristic of the Tamil classic has been responsible for its exhorting an activistic, this-worldly ethics, without belittling the value of or disregarding the importance of 'ultimate realization', we have maintained. The cue for our interpretation has been that even though the Kuṟaḷ refers to Aṟam, poruḷ and iṉpam (the three values) in three different sections, the thrust of the whole work is to maintain the supremacy of Aṟam. This is the basis of our considering poruḷ and iṉpam as extensions of Aṟam and not as independent values. In sum we have argued that the Kuraḷ' s philosophy of good life is illustratively evident from the way in which it treats of Aṟam as underlying every aspect of human life. Chapters 3,4 and 5 are respectively devoted for Aṟam and its 'extensions'. In chapter 6"we have drawn the strings of our argument together and summarized the results of our investigation.Doctor of Philosophy (PhD
The class of simple dynamics systems
No full text[EN] In this paper, we study the class of simple dynamical systems on R induced by continuous maps having finitely many non-ordinary points. We characterize this class using labeled digraphs and dynamically independent sets. In fact, we classify dynamical systems up to their number of non-ordinary points. In particular, we discuss about the class of continuous maps having unique non-ordinary point, and the class of continuous maps having exactly two non-ordinary points.The author is very thankful to the referee for giving valuable suggestions. The author acknowledges SERB-MATRICS Grant No. MTR/2018/000256 for financial support.Ali Akbar, K. (2020). The class of simple dynamics systems. Applied General Topology. 21(2):215-233. https://doi.org/10.4995/agt.2020.12929OJS215233212K. Ali Akbar, Some results in linear, symbolic, and general topological dynamics, Ph. D. Thesis, University of Hyderabad (2010).K. Ali Akbar, V. Kannan and I. Subramania Pillai, Simple dynamical systems, Applied General Topology 2, no. 2 (2019), 307-324. https://doi.org/10.4995/agt.2019.7910A. Brown and C. Pearcy, An introduction to analysis (Graduate Texts in Mathematics), Springer-Verlag, New York, 1995. https://doi.org/10.1007/978-1-4612-0787-0R. A. Holmgren, A first course in discrete dynamical systems, Springer-Verlag, NewYork, 1996. https://doi.org/10.1007/978-1-4419-8732-7S. Patinkin, Transitivity implies period 6, preprint.A. N. Sharkovskii, Coexistence of cycles of a continuous map of a line into itself, Ukr. Math. J. 16 (1964), 61-71.J. Smital, A chaotic function with some extremal properties, Proc. Amer. Math. Soc. 87 (1983), 54-56. https://doi.org/10.2307/2044350B. Sankara Rao, I. Subramania Pillai and V. Kannan, The set of dynamically special points, Aequationes Mathematicae 82, no. 1-2 (2011), 81-90. https://doi.org/10.1007/s00010-010-0066-
HELP--Human assisted Efficient Learning Protocols
No full textIn recent years, there has been a growing attention towards the development of artificial agents that can naturally communicate and interact with humans. The focus has primarily been on creating systems that have the ability to unify advanced learning algorithms along with various natural forms of human interaction (like providing advice, guidance, motivation, punishment, etc). However, despite the progress made, interactive systems are still directed towards researchers and scientists and consequently the everyday human is unable to exploit the potential of these systems. Another undesirable component is that in most cases, the interacting human is required to communicate with the artificial agent a large number of times, making the human often fatigued. In order to improve these systems, this thesis extends prior work and introduces novel approaches via Human-assisted Efficient Learning Protocols (HELP). Three case studies are presented that detail distinct aspects of HELP - a) representation of the task to be learned and its associated constraints, b) the efficiency of the learning algorithm used by the artificial agent and c) the unexplored “natural” modes of human interaction. The case studies will show how an artificial agent is able to efficiently learn and perform complex tasks using only a limited number of interactions with a human. Each of these studies involves human subjects interacting with a real robot and/or simulated agent to learn a particular task. The focus of HELP is to show that a machine can learn better from humans if it is given the ability to take advantage of the knowledge provided by interacting with a human partner or teacher.M.S.Includes bibliographical referencesby Kaushik Subramania
Remote sensing and GIS
No full textPresented at the fifth international conference on irrigation and drainage, Irrigation and drainage for food, energy and the environment on November 3-6, 2009 in Salt Lake City, Utah.Managing water resources in western US has been a challenge for decision makers. In the last few decades, the rapid growth rates of population along with the alarming rates of global warming have added to the complexity of this issue. In this study, remote sensing techniques have been applied to evaluate the performance of agricultural irrigation, the largest consumptive user of water. The study area, "Palo Verde irrigation District" which is located in Riverside and Imperial counties, California, is an old irrigation district with a fairly heterogeneous cropping pattern. Landsat Thematic Mapper satellite images were used to estimate the actual ET using the SEBAL energy balance model. These estimates were integrated to obtain crop water demand for different periods throughout the growing season. The amount of diverted water was also estimated for the same periods, using flow measurements within the Palo Verde irrigation district. The results were analyzed within the ArcGIS environment in conjunction with water conveyance and field boundary layers to evaluate different performance indicators such as relative water supply, overall consumed ratio, depleted fraction, crop water deficit, and relative evapotranspiration. The results of these indicators can help irrigation managers to get a general idea of how the system performs and to identify possible ways of improving it
Multifunctional nanomaterials for advanced molecular imaging and cancer therapy
No full textNanotechnology offers tremendous potential for use in biomedical applications, including cancer and stem cell imaging, disease diagnosis and drug delivery. The development of nanosystems has aided in understanding the molecular mechanisms of many diseases and permitted the controlled nanoscale manipulation of biological phenomena. In recent years, many studies have focused on the use of several kinds of nanomaterials for cancer and stem cell imaging and also for the delivery of anticancer therapeutics to tumor cells. However, the proper diagnosis and treatment of aggressive tumors such as brain and breast cancer requires highly sensitive diagnostic agents, in addition to the ability to deliver multiple therapeutics using a single platform to the target cells. Addressing these challenges, novel multifunctional nanomaterial-based platforms that incorporate multiple therapeutic and diagnostic agents, with superior molecular imaging and targeting capabilities, has been presented in this work. The initial part of this work presents the development of novel nanomaterials with superior optical properties for efficiently delivering soluble cues such as small interfering RNA (siRNA) into brain cancer cells with minimal toxicity. Specifically, this section details the development of non-toxic quantums dots for the imaging and delivery of siRNA into brain cancer and mesenchymal stem cells, with the hope of using these quantum dots as multiplexed imaging and delivery vehicles. The use of these quantum dots could overcome the toxicity issues associated with the use of conventional quantum dots, enabled the imaging of brain cancer and stem cells with high efficiency and allowed for the delivery of siRNA to knockdown the target oncogene in brain cancer cells. The latter part of this thesis details the development of nanomaterial-based drug delivery platforms for the codelivery of multiple anticancer drugs to brain tumor cells. In particular, this part of the thesis focuses on the synthesis and use of a biodegradable dendritic polypeptide-based nanocarrier for the delivery of multiple anticancer drugs and siRNA to brain tumor cells. The co-delivery of important anticancer agents using a single platform was shown to increase the efficacy of the drugs manyfold, ensuring the cancer cell-specific delivery and minimizing dose limiting toxicities of the individual drugs. This would be of immense importance when used in vivo.Ph. D.Includes bibliographical referencesby Prasad Subramania
Author Correction: Adipose derived mesenchymal stem cell secretome formulation as a biotherapeutic to inhibit growth of drug resistant triple negative breast cancer
No full textMicrotia Reconstruction: Our Strategies to Improve the Outcomes
No full textIntroduction: Autologous costal cartilage framework placement is currently the gold standard in patients with microtia. In this article, we present the modifications developed by the author, generally following the principles established by Nagata, and discuss the technical details that have led us to achieve consistently stable and good long-term outcomes for auricular reconstruction in microtia.
Materials and Methods: A retrospective review of microtia reconstruction performed from 2015 to 2021 was done. Those who underwent primary reconstruction for microtia and with a minimum follow-up of 6 months with documented photographs were included. Those who underwent secondary reconstruction for microtia and those who did not follow-up for a minimum period of 6 months were excluded. Outcomes were assessed with regard to appearance, and durability of the result. Influence of certain changes like delaying reconstruction until 15 years of age, use of nylon for framework fabrication, etc. over the outcome were assessed.
Results: Of 11 ears reconstructed at less than 15 years of age, only one patient (9%) had a good long-term outcome, whereas of the 17 ears reconstructed at greater than 15 years of age, nine patients (53%) had a good long-term outcome. In our experience, infections and wire extrusions were the significant events related to severe cartilage resorption.
Conclusion: In our experience, delaying the first stage to 15 years or later, using double-armed nylon sutures, and reducing the projection of the third layer of the framework in select cases have helped to improve our outcomes. Second stage of reconstruction can be avoided if patient is satisfied with the projection achieved in the first stage
Contexto social de moradia, características individuais e desigualdades na autoavaliação de saúde da população adulta de Florianópolis, SC: um estudo multinível
No full textTese (doutorado) - Universidade Federal de Santa Catarina, Centro de Ciências da Saúde, Programa de Pós-Graduação em Saúde Coletiva, Florianópolis, 2012Os atributos dos locais nos quais as pessoas vivem, bem como suas percepções sobre estes, são importantes determinantes de saúde, além das características individuais. Objetivou-se identificar a associação de características do contexto social de moradia com variáveis socioeconômicas, e autoavaliação de saúde em adultos de Florianópolis, Santa Catarina. Realizou-se estudo transversal, com amostra representativa da população adulta urbana do município, selecionada em dois estágios (setor censitário e domicílio). Variáveis individuais demográficas (sexo, idade, cor da pele, tempo de residência no local), socioeconômicas (renda, escolaridade, ocupação), comportamentos relacionados à saúde (uso de álcool, tabagismo), relacionadas à situação de saúde (doenças crônicas, índice de massa corporal, transtornos mentais comuns) foram incluídas nas análises. Variáveis socioeconômicas dos setores (renda e percepções sobre problemas na vizinhança) foram investigadas em relação às variáveis individuais e à autoavaliação de saúde. Diferentes modelos de análises multiníveis foram desenvolvidos. A taxa de resposta foi de 85,3%, o que representa 1720 adultos distribuídos em 63 setores censitários. Duas escalas resultaram das análises dos itens de problemas na vizinhança: Problemas Físicos e Desordens Sociais. A consistência interna dos domínios foi alta (Alpha de Cronbach 0,67 e 0,81). As propriedades ecométricas das escalas mensuradas pela correlação intravizinhança (CIC) foram satisfatórias, distribuídas no intervalo de 0,24 a 0,28 para ICC, e 0,94 a 0,96 para confiabilidade. Valores elevados nas escalas representaram mais problemas nos domínios físico e social da vizinhança, e foram observados entre os mais jovens, entre aqueles que residiam há mais tempo no local, e moradores de setores censitários de mais baixa renda. Residentes em setores censitários com renda baixa e intermediária referiram pior saúde do que aqueles no tercil mais alto. A associação entre problemas percebidos na vizinhança e saúde permaneceu significativa mesmo após os ajustes para todos os grupos de variáveis investigadas. Os resultados indicaram a utilidade das escalas para medir percepção de problemas relacionados à qualidade física e às desordens sociais nos setores censitários, e sua associação com a autoavaliação de saúde e características socioeconômicas e demográficas do nível individual e do setor censitário
Search for dark matter candidates and large extra dimensions in events with a jet and missing transverse momentum with the ATLAS detector
No full textOpen Access, Copyright CERN, for the benefit of the ATLAS collaboration. This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
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