77 research outputs found

    Information Dissemination in Vehicular Networks

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    TelecommunicationsWireless and Mobile CommunicationsElectrical Engineering, Mathematics and Computer Scienc

    Modeling the interaction between micro-climate factors and moisture-related skin-support friction during patient repositioning in bed

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    Applied MathematicsNumerical MathematicsElectrical Engineering, Mathematics and Computer Scienc

    Improving the tumor coverage by dynamic steering in Hyperthermia

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    Hyperthermia is a cancer treatment in which tumours are heated. This makes them more vulnerable to other cancer treatments like radiotherapy and chemotherapy. In this report we search for a way to improve the tumour coverage. Here the tumour coverage is how much of the tumour is heated.Mathematical PhysicsApplied mathematicsElectrical Engineering, Mathematics and Computer Scienc

    The role of social and humanitarian cooperation in the development of Russian-georgian relations

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    © 2020 Mansurov and Ivanov; Licensee Lifescience Global. This is an open access article licensed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited. The study is aimed at detection of the features of social and humanitarian cooperation between Russia and Georgia and their impact on the development of relations between the two countries. The possibilities of implementing this cooperation are considered in the absence of political and diplomatic relations. The authors analyze the specifics of inter-state ties and relations development in social, cultural, scientific, educational and spiritual spheres, as well as the obstacles that hinder such interaction. The potential of inter-state dialogue formats such as the "Geneva discussions on security and stability in Transcaucasia", as well as the "Karasin-Abashidze" diplomatic line is being studied. Special attention is paid to the role of non-profit organizations and foundations, including those operating on the territory of Georgia, contributing to the expansion of contacts and ties between the two countries and promotion of the Eurasian vector of Georgia's development. Based on the empirical data of sociological research conducted both in Russia and Georgia, the author of the article identifies the problems that exist in the relations between the two states, and shows the importance of deepening social and humanitarian cooperation to solve them. Research data shows that currently the number of supporters of the pro-Russian vector of the country development, which can become a significant factor in solving many social, economic and political problems of the Georgian state

    Узагальнений мiшаний тип квартичного, кубiчного, квадратичного та додаткового функцiонального рiвняння

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    We determine the general solution of the functional equation f(x+ky)+f(x−ky) = g(x+y)+g(x−y)+ +h(x)+h˜(y) for fixed integers k with k 6= 0, ±1 without assuming any regularity condition on the unknown functions f, g, h, h˜. The method used for solving these functional equations is elementary but exploits an important result due to Hosszu. The solution of this functional equation can also be determined in certain type ´ of groups using two important results due to SzekelyhidiВизначено загальний розв’язок функцiонального рiвняння f(x + ky) + f(x − ky) = g(x + y) + + g(x − y) + h(x) + h˜(y) для фiксованих цiлих k при k 6= 0, ±1 без припущення наявностi будь-якої умови регулярностi для невiдомих функцiй f, g, h, h˜. Метод, що використано для розв’язку цих функцiональних рiвнянь, елементарний, але базується на важливому результатi Хозу. Розв’язок цього функцiонального рiвняння може бути визначений у певному типi груп з використанням двох важливих результатiв Чекелiхiдi.The first author was supported by the National Natural Science Foundation of China (10671013, 60972089)

    On Harmonic Analysis Operators in Laguerre-Dunkl and Laguerre-Symmetrized Settings

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    We study several fundamental harmonic analysis operators in the multi-dimensional context of the Dunkl harmonic oscillator and the underlying group of reflections isomorphic to Zd2. Noteworthy, we admit negative values of the multiplicity functions. Our investigations include maximal operators, g-functions, Lusin area integrals, Riesz transforms and multipliers of Laplace and Laplace-Stieltjes type. By means of the general Calderón-Zygmund theory we prove that these operators are bounded on weighted Lp spaces, 1 < p < ∞, and from weighted L1 to weighted weak L1. We also obtain similar results for analogous set of operators in the closely related multi-dimensional Laguerre-symmetrized framework. The latter emerges from a symmetrization procedure proposed recently by the first two authors. As a by-product of the main developments we get some new results in the multi-dimensional Laguerre function setting of convolution type.Research of the first-named and the second-named authors was supported by the National Science Centre of Poland, project no. 2013/09/B/ST1/02057. The third-named author was partially supported by the National Science Centre of Poland, project no. 2012/05/N/ST1/02746

    Узагальнений мiшаний тип квартичного, кубiчного, квадратичного та додаткового функцiонального рiвняння

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    We determine the general solution of the functional equation f(x+ky)+f(x−ky) = g(x+y)+g(x−y)+ +h(x)+h˜(y) for fixed integers k with k 6= 0, ±1 without assuming any regularity condition on the unknown functions f, g, h, h˜. The method used for solving these functional equations is elementary but exploits an important result due to Hosszu. The solution of this functional equation can also be determined in certain type ´ of groups using two important results due to SzekelyhidiВизначено загальний розв’язок функцiонального рiвняння f(x + ky) + f(x − ky) = g(x + y) + + g(x − y) + h(x) + h˜(y) для фiксованих цiлих k при k 6= 0, ±1 без припущення наявностi будь-якої умови регулярностi для невiдомих функцiй f, g, h, h˜. Метод, що використано для розв’язку цих функцiональних рiвнянь, елементарний, але базується на важливому результатi Хозу. Розв’язок цього функцiонального рiвняння може бути визначений у певному типi груп з використанням двох важливих результатiв Чекелiхiдi.The first author was supported by the National Natural Science Foundation of China (10671013, 60972089)

    Thermochemistry of yavapaiite KFe(SO4)2: Formation and decomposition

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    Yavapaiite, KFe(SO4)2, is a rare mineral in nature, but its structure is considered as a reference for many synthetic compounds in the alum supergroup. Several authors mention the formation of yavapaiite by heating potassium jarosite above ca. 400°C. To understand the thermal decomposition of jarosite, thermodynamic data for phases in the K-Fe-S-O-(H) system, including yavapaiite, are needed. A synthetic sample of yavapaiite was characterized in this work by X-ray diffraction (XRD), scanning electron microscopy (SEM), Fourier transform infrared spectroscopy (FTIR), and thermal analysis. Based on X-ray diffraction pattern refinement, the unit cell dimensions for this sample were found to be a = 8.152 ± 0.001 Å, b = 5.151 ± 0.001 Å, c = 7.875 ± 0.001 Å, and β = 94.80°. Thermal decomposition indicates that the final breakdown of the yavapaiite structure takes place at 700°C (first major endothermic peak), but the decomposition starts earlier, around 500°C. The enthalpy of formation from the elements of yavapaiite, KFe(SO4)2, ΔH°f = −2042.8 ± 6.2 kJ/mol, was determined by high-temperature oxide melt solution calorimetry. Using literature data for hematite, corundum, and Fe/Al sulfates, the standard entropy and Gibbs free energy of formation of yavapaiite at 25°C (298 K) were calculated as S°(yavapaiite) = 224.7 ± 2.0 J.mol−1.K−1 and ΔG°f = −1818.8 ± 6.4 kJ/mol. The equilibrium decomposition curve for the reaction jarosite = yavapaiite + Fe2O3 + H2O has been calculated, at pH2O = 1 atm, the phase boundary lies at 219 ± 2°C

    Author Correction: c-Met activation leads to the establishment of a TGFβ-receptor regulatory network in bladder cancer progression (Nature Communications, (2019), 10, 1, (4349), 10.1038/s41467-019-12241-2)

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    © 2019, The Author(s). The original version of this Article contained an error in the spelling of the author Azad Saei, which was incorrectly given as Azad Saie. This has now been corrected in both the PDF and HTML versions of the Article
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