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Economy Equilibrium and Sustainable Development

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Advances in Pure Mathematics 2023年第6期13卷 316-346页

作者： Nicholas Simon gonchar Bogolyubov Institute for Theoretical Physics of NAS of Ukraine Kyiv Ukraine

The structure of technological mappings is studied and it is shown that for an important class of technological mappings there exists a continuous strategy of the behavior of firms as arbitrarily close in terms of profit. The latter is important for building the theory of economic equilibrium, which is an important tool for building the theory of sustainable economic development. Theorems of the existence of economic equilibrium under conditions of uncertainty and under general assumptions about the structure of supply and demand have been proved.

关键词： Technological Mapping Economic Equilibrium Structure of Supply Structure of Demand Sustainable Economic Development

Economy Function in the Mode of Sustainable Development

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Advances in Pure Mathematics 2024年第4期14卷 242-282页

作者： Nicholas Simon gonchar Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine Kyiv Ukraine

To implement the previously formulated principles of sustainable economic development, all solutions of the linear system of equations and inequalities, which are satisfied by the vector of real consumption, are completely described. It is established that the vector of real consumption with the minimum level of excess supply is determined by the solution of some quadratic programming problem. The necessary and sufficient conditions are established under which the economic system, described by the “input-output” production model, functions in the mode of sustainable development. A complete description of the equilibrium states for which markets are partially cleared in the economy model of production “input-output” is given, on the basis that all solutions of system of linear equations and inequalities are completely described. The existence of a family of taxation vectors in the “input-output” model of production, under which the economic system is able to function in the mode of sustainable development, is proved. Restrictions were found for the vector of taxation in the economic system, under which the economic system is able to function in the mode of sustainable development.

关键词： Technological Mapping Economic Balance Clearing Markets Vector of Taxation Sustainable Economic Development

Assessment of Contingent Liabilities for Risk Assets Evolutions Built on Brownian Motion

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Advances in Pure Mathematics 2020年第5期10卷 259-296页

作者： Nicholas Simon gonchar Bogolyubov Institute for Theoretical Physics of NAS of Ukraine Kyiv Ukraine

This paper is a generalization of the results of the previous papers. Using these results a class of evolutions of risk assets based on the geometric Brownian motion is constructed. Among these evolutions of risk assets, the important class of the random processes is the random processes with parameters built on the basis of the discrete geometric Brownian motion. For this class of random processes the interval of non-arbitrage prices are found for the wide class of contingent liabilities. In particular, for the payoff functions of standard options call and put of the European type the fair prices of super-hedge are obtained. Analogous results are obtained for the put and call of arithmetical options of Asian type. For the parameters entering in the definition of random process the description of all statistical estimates is presented. Statistical estimate for which the fair price of super-hedge for the payoff functions of standard call and put options of European type is minimal is indicated. From the formulas found it follows that the fair price of super-hedge can be less than the price of the underlying asset. In terms of estimates the simple formula for the fair price of super-hedge is found. Every estimates can be realized in the reality. This depends on the distribution function of the observed dates in the financial market.

关键词： Random Process Regular Set of Measures Optional Doob Decomposition Local Regular Super-Martingale Martingale Assessment of Derivatives

Martingales and Super-Martingales Relative to a Convex Set of Equivalent Measures

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Advances in Pure Mathematics 2018年第4期8卷 428-462页

作者： Nicholas S. gonchar Bogolyubov Institute for Theoretical Physics of NAS Kiev Ukraine

In the paper, the martingales and super-martingales relative to a convex set of equivalent measures are systematically studied. The notion of local regular super-martingale relative to a convex set of equivalent measures is introduced and the necessary and sufficient conditions of the local regularity of it in the discrete case are founded. The description of all local regular super-martingales relative to a convex set of equivalent measures is presented. The notion of the complete set of equivalent measures is introduced. We prove that every bounded in some sense super-martingale relative to the complete set of equivalent measures is local regular. A new definition of the fair price of contingent claim in an incomplete market is given and the formula for the fair price of Standard Option of European type is found. The proved Theorems are the generalization of the famous Doob decomposition for super-martingale onto the case of super-martingales relative to a convex set of equivalent measures.

关键词： Random Process Convex Set of Equivalent Measures Optional Doob Decomposition Local Regular Super-Martingale Martingale Fair Price of Contingent Claim

Description of Incomplete Financial Markets for Time Evolution of Risk Assets

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Advances in Pure Mathematics 2019年第6期9卷 567-610页

作者： Nicholas S. gonchar Bogolyubov Institute for Theoretical Physics of NAS Kiev Ukraine

In the paper, a class of discrete evolutions of risk assets having the memory is considered. For such evolutions the description of all martingale measures is presented. It is proved that every martingale measure is an integral on the set of extreme points relative to some measure on it. For such a set of evolutions of risk assets, the contraction of the set of martingale measures on the filtration is described and the representation for it is found. The inequality for the integrals from a nonnegative random value relative to the contraction of the set of martingale measure on the filtration which is dominated by one is obtained. Using these inequalities a new proof of the optional decomposition theorem for super-martingales is presented. The description of all local regular super-martingales relative to the regular set of measures is presented. The applications of the results obtained to mathematical finance are presented. In the case, as evolution of a risk asset is given by the discrete geometric Brownian motion, the financial market is incomplete and a new formula for the fair price of super-hedge is founded.

关键词： Random Process Regular Set of Measures Optional Doob Decomposition Local Regular Super-Martingale Martingale Discrete Geometric Brownian Motion

A New Bi-enzyme Potentiometric Sensor for Arginine Analysis Based on Recombinant Human Arginase I and Commercial Urease

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材料科学与工程（中英文A版） 2011年第6期1卷 819-827页

作者： Nataliya Stasyuk Oleh Smutok Galina Gayda Mykhailo gonchar Yevgen Koval＇chuk Ivan Franko National University Lviv 79005 Ukraine Institute of Cell Biology National Academy of Science of Ukraine Lviv 79005 Ukraine Rzeszow University Kolbuszowa 36100 Poland

Concretes Based on Fly Ash Binding Systems Modified by Metakaolin:Peculiarities of Structural-Functional Adaptation at Different Conditions of Operation

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Concretes Based on Fly Ash Binding Systems Modified by Metak...

Feasibility and physics potential of detecting ^(8)B solar neutrinos at JUNO

The 6th International Symposium on Cement & Concrete and Canmet/Aci International Symposium on Concrete Technology for Sustainable Development

作者： K.K.Pushkarova V.I.Gots O.A.gonchar V.V.Pavliuk V.D. Glukhovsky Scientific Research Institute for Binders and Materials Vozduhoflotskij prosp. 31 Kiev Ukraine 03037 V.D. Glukhovsky Scientific Research Institute for Binders and Materials Vozduhoflotskij prosp. 31 Kiev Ukraine 03037 V.D. Glukhovsky Scientific Research Institute for Binders and Materials Vozduhoflotskij prosp. 31 Kiev Ukraine 03037 V.D. Glukhovsky Scientific Research Institute for Binders and Materials Vozduhoflotskij prosp. 31 Kiev Ukraine 03037

Physical-chemical peculiarities of hydration are known to be bound with interaction of a cement stone with an external media. It depends on stability of primary hydration products being represented ma

关键词： solid solution, hydrogarnets, sulfate and silica additives, fly ash-cement binding system, hydrosilicate, ettrengite.

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Chinese Physics C 2021年第2期45卷 93-110页

作者： Angel Abusleme Thomas Adam Shakeel Ahmad Sebastiano Aiello Muhammad Akram Nawab Ali Fengpeng An Guangpeng An Qi An Giuseppe Andronico Nikolay Anfimov Vito Antonelli Tatiana Antoshkina Burin Asavapibhop João Pedro Athayde Marcondes de André Didier Auguste Andrej Babic Wander Baldini Andrea Barresi Eric Baussan Marco Bellato Antonio Bergnoli Enrico Bernieri David Biare Thilo Birkenfeld Sylvie Blin David Blum Simon Blyth Anastasia Bolshakova Mathieu Bongrand Clément Bordereau Dominique Breton Augusto Brigatti Riccardo Brugnera Riccardo Bruno Antonio Budano Max Buesken Mario Buscemi Jose Busto Ilya Butorov Anatael Cabrera Hao Cai Xiao Cai Yanke Cai Zhiyan Cai Antonio Cammi Agustin Campeny Chuanya Cao Guofu Cao Jun Cao Rossella Caruso Cédric Cerna Jinfan Chang Yun Chang Pingping Chen Po-An Chen Shaomin Chen Shenjian Chen Xurong Chen Yi-Wen Chen Yixue Chen Yu Chen Zhang Chen Jie Cheng Yaping Cheng Alexander Chepurnov Davide Chiesa Pietro Chimenti Artem Chukanov Anna Chuvashova Gérard Claverie Catia Clementi Barbara Clerbaux Selma Conforti Di Lorenzo Daniele Corti Salvatore Costa Flavio Dal Corso Christophe De La Taille Jiawei Deng Zhi Deng Ziyan Deng Wilfried Depnering Marco Diaz Xuefeng Ding Yayun Ding Bayu Dirgantara Sergey Dmitrievsky Tadeas Dohnal Georgy Donchenko Jianmeng Dong Damien Dornic Evgeny Doroshkevich Marcos Dracos Frédéric Druillole Shuxian Du Stefano Dusini Martin Dvorak Timo Enqvist Heike Enzmann Andrea Fabbri Lukas Fajt Donghua Fan Lei Fan Can Fang Jian Fang Marco Fargetta Anna Fatkina Dmitry Fedoseev Vladko Fekete Li-Cheng Feng Qichun Feng Richard Ford Andrey Formozov Amélie Fournier Haonan Gan Feng Gao Alberto Garfagnini Alexandre Göttel Christoph Genster Marco Giammarchi Agnese Giaz Nunzio Giudice Franco Giuliani maxim gonchar Guanghua Gong Hui Gong Oleg Gorchakov Yuri Gornushkin Marco Grassi Christian Grewing maxim Gromov Vasily Gromov Minghao Gu Xiaofei Gu Yu Gu Mengyun Guan Nunzio Guardone Maria Gul Cong Guo Jingyuan Guo Wanlei Guo Xinheng Guo Yuhang Guo Paul Hackspacher Caren Hagner Ran Han Yan Yerevan Physics Institute YerevanArmenia UniversitéLibre de Bruxelles BrusselsBelgium Universidade Estadual de Londrina LondrinaBrazil Pontificia Universidade Catolica do Rio de Janeiro RioBrazil Pontificia Universidad Católica de Chile SantiagoChile Universidad Tecnica Federico Santa Maria ValparaisoChile Beijing Institute of Spacecraft Environment Engineering BeijingChina Beijing Normal University BeijingChina China Institute of Atomic Energy BeijingChina Institute of High Energy Physics BeijingChina North China Electric Power University BeijingChina School of Physics Peking UniversityBeijingChina Tsinghua University BeijingChina University of Chinese Academy of Sciences BeijingChina Jilin University ChangchunChina College of Electronic Science and Engineering National University of Defense TechnologyChangshaChina Chongqing University ChongqingChina Dongguan University of Technology DongguanChina Jinan University GuangzhouChina Sun Yat-Sen University GuangzhouChina Harbin Institute of Technology HarbinChina University of Science and Technology of China HefeiChina The Radiochemistry and Nuclear Chemistry Group in University of South China HengyangChina Wuyi University JiangmenChina Shandong University JinanChina Institute of Modern Physics Chinese Academy of SciencesLanzhouChina Nanjing University NanjingChina Guangxi University NanningChina East China University of Science and Technology ShanghaiChina School of Physics and Astronomy Shanghai Jiao Tong UniversityShanghaiChina Tsung-Dao Lee Institute Shanghai Jiao Tong UniversityShanghaiChina Institute of Hydrogeology and Environmental Geology Chinese Academy of Geological SciencesShijiazhuangChina Nankai University TianjinChina Wuhan University WuhanChina Xi’an Jiaotong University Xi’anChina Xiamen University XiamenChina School of Physics and Microelectronics Zhengzhou UniversityZhengzhouChina Institute of Physics National Chiao-Tung University Hsinchu National United University Miao-Li Department of Physics National T

The Jiangmen Underground Neutrino Observatory(JUNO)features a 20 kt multi-purpose underground liquid scintillator sphere as its main *** of JUNO's features make it an excellent location for^8B solar neutrino measurements,such as its low-energy threshold,high energy resolution compared with water Cherenkov detectors,and much larger target mass compared with previous liquid scintillator *** this paper,we present a comprehensive assessment of JUNO's potential for detecting^8B solar neutrinos via the neutrino-electron elastic scattering process.A reduced 2 MeV threshold for the recoil electron energy is found to be achievable,assuming that the intrinsic radioactive background^(238)U and^(232)Th in the liquid scintillator can be controlled to 10^(-17)g/*** ten years of data acquisition,approximately 60,000 signal and 30,000 background events are *** large sample will enable an examination of the distortion of the recoil electron spectrum that is dominated by the neutrino flavor transformation in the dense solar matter,which will shed new light on the inconsistency between the measured electron spectra and the predictions of the standard three-flavor neutrino oscillation *** m^(2)_(21)=4.8times10^(-5);(7.5times10^(-5))eV^(2),JUNO can provide evidence of neutrino oscillation in the Earth at approximately the 3sigma(2sigma)level by measuring the non-zero signal rate variation with respect to the solar zenith ***,JUNO can simultaneously measureDelta m^2_(21)using^8B solar neutrinos to a precision of 20% or better,depending on the central value,and to sub-percent precision using reactor antineutrinos.A comparison of these two measurements from the same detector will help understand the current mild inconsistency between the value of Delta m^2_(21)reported by solar neutrino experiments and the KamLAND experiment.

关键词： neutrino oscillation solar neutrino JUNO

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两种蛋白酶在生皮脱毛上应用试验

河北省科学院学报 2005年第2期22卷 62-64页

作者： Guryanova T.I 刘才 gonchar A.M 韩宪生马允莉薛刚胡常英莫斯科国立设计与技术大学新西伯利亚技术学院河北省科学院河北石家庄050081 俄罗斯科学院西伯利亚分院细胞与遗传研究所河北农业大学河北保定071001 河北省微生物研究所河北保定071051

无公害工业化生产要求制革企业放弃制革工艺中沿用的传统有害物质,采用新方法生产高质量皮革制品。介绍了中俄科研人员用两种不同的方法(涂布法、浸酶法)和两种不同的脱毛酶制剂进行的生皮脱毛试验。试验证明,用酶制剂脱毛效果良好,完... 详细信息

无公害工业化生产要求制革企业放弃制革工艺中沿用的传统有害物质,采用新方法生产高质量皮革制品。介绍了中俄科研人员用两种不同的方法(涂布法、浸酶法)和两种不同的脱毛酶制剂进行的生皮脱毛试验。试验证明,用酶制剂脱毛效果良好,完全可以替代传统的硫化碱,同时能够改善制革工艺,削弱碱性物质对皮革表面的侵害,减少制革业对水源污染。

关键词：生皮蛋白酶酶制剂胶原