Integrability of solutions for the integral system

2021 ◽  
Vol 499 (1) ◽  
pp. 125011
Author(s):  
Xiaoqian Liu ◽  
Ling Li
Keyword(s):  
Integral System

Religious Studies of Democratic Ukraine

2001 ◽  
pp. 3-12
Author(s):  
Anatolii M. Kolodnyi
Keyword(s):  
Religious Studies ◽  
Religious Experiences ◽  
Divine Nature ◽  
Deep Roots ◽  
Integral System ◽  
The World

Ukrainian religious studies have deep roots. We find the elements of it in the written descendants of the writings of Kievan Rus. From the prince's time, the universal way of vision, understanding and appreciation of the world for many Ukrainian thinkers becomes their own religious experiences. The main purpose of their works is not the desire to create a certain integral system of theological knowledge, but the desire to convey their personal religious-minded perception of the divine nature, harmony, beauty and perfection of God created the world.

MONITORING HUMAN CAPITAL DEVELOPMENT CONDITIONS IN RURAL AREAS

2020 ◽  
Vol 10 (10) ◽  
pp. 2384-2369
Author(s):  
V.G. Zakshevskiy ◽  
◽  
Z.V. Gavrilova ◽  
Keyword(s):  
Human Capital ◽  
Rural Areas ◽  
Policy Development ◽  
Agricultural Sector ◽  
Human Life ◽  
Main Stage ◽  
Human Capital Development ◽  
Integral System ◽  
And Migration ◽  
Capital Development

The article discusses the problems that arise when monitoring the conditions for the development of human capital in rural areas, since, despite the sufficient number of works on monitoring the human capital in rural areas or the agricultural sector, the integral system of quantitative socio-economic indicators for assessing the human capital development conditions in rural areas remains poorly studied. First of all, a basic concept of monitoring is given, as well as an applied concept - monitoring the human capital development conditions in rural areas, which is understood as a system of constant monitoring, collection, registration, storage and analysis of several key parameters that assess the conditions for the formation and development of congenital and accumulated physical, mental and personal abilities and qualities of the population of rural areas, as well as acquiring knowledge and skills that can be used by them in order to deliver economic income or social effect. The monitoring process is presented in detail in the relationship of this category with concepts close to it (diagnostics, as a preliminary stage, monitoring as the main stage, appropriate policy development, as the final stage). The diversity of monitoring indicators used in the social sphere of human life is reflected: for rural areas, for the agrarian sphere, for the regional socio-economic system, for the development of municipalities' social and labor systems, for social factors of the region's development, etc. The authors' idea of an integral system of indicators for monitoring the human capital development conditions in rural areas is given, which is a combination of six blocks: health care, education, culture and sports, demography and migration, infrastructure, as well as socio-economic conditions.

scholarly journals An ADRC Method for Noncascaded Integral Systems Based on Algebraic Substitution Method and Its Structure

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Zhijian Huang ◽  
Yudong Li ◽  
Yihua Liu ◽  
Wenbo Sui ◽  
Guichen Zhang
Keyword(s):  
Controller Design ◽  
Integral Form ◽  
State Variables ◽  
Control Effect ◽  
Substitution Method ◽  
Integral System ◽  
Numerical Example ◽  
Disturbance Rejection Control ◽  
Integral Systems ◽  
And Control

The Active Disturbance Rejection Control (ADRC) prefers the cascaded integral system for a convenient design or better control effect and takes it as a typical form. However, the state variables of practical system do not necessarily have a cascaded integral relationship. Therefore, this paper proposes an algebraic substitution method and its structure, which can convert a noncascaded integral system of PID control into a cascaded integral form. The adjusting parameters of the ADRC controller are also demonstrated. Meanwhile, a numerical example and the oscillation control of a flexible arm are demonstrated to show the conversion, controller design, and control effect. The converted system is proved to be more suitable for a direct ADRC control. In addition, for the numerical example, its control effect for the converted system is compared with a PID controller under different disturbances. The result shows that the converted system can achieve a better control effect under the ADRC than that of a PID. The theory is a guide before practice. This converting method not only solves the ADRC control problem of some noncascaded integral systems in theory and simulation but also expands the application scope of the ADRC method.

scholarly journals Increasing the Pace of an Integral Library System in China: Moving toward the Twenty-First Century

1998 ◽  
Vol 59 (2) ◽  
pp. 168-175 ◽  
Author(s):  
Qiang Zhu ◽  
Sha Li Zhang
Keyword(s):  
Academic Libraries ◽  
System Development ◽  
Academic Library ◽  
First Century ◽  
Information Networks ◽  
Integral System ◽  
Library System ◽  
Other Information ◽  
Twenty First Century

Academic libraries in China are transforming traditionally isolated and separated operations by initiating an integral library system (also known as integral system development) to connect all academic libraries nationwide, and to connect them with other information networks abroad. A three-tier network at the national, regional, and campus levels should be developed. This paper describes the current academic library environment in China, the concept of the integral library system, and the major goals to be realized in the next five years.

scholarly journals On the Wolff-type Integral System with Negative Exponents

2021 ◽  
Author(s):  
Rong Zhang ◽  
Ling Li
Keyword(s):  
Integral Equation ◽  
Positive Solutions ◽  
Equation System ◽  
Type Condition ◽  
Radial Solutions ◽  
Entire Solutions ◽  
Integral System ◽  
Type Integral ◽  
Bounded Functions ◽  
Type Potential

In this paper, we are concerned with the positive continuous entire solutions of the Wolff-type integral system \begin{equation*} \left\{ \begin{array}{ll} &u(x) =C_{1}(x)W_{\beta,\gamma} (v^{-q})(x), \\[3mm] &v(x) =C_{2}(x)W_{\beta,\gamma} (u^{-p})(x), \end{array} \right. \end{equation*} where $n\geq1$, $\min\{p,q\}>0$, $\gamma>1$, $\beta>0$ and $\beta\gamma\neq n$. In addition, $C_{i}(x) \ (i=1,2)$ are some double bounded functions. If $\beta\gamma\in (0,n)$, the Serrin-type condition is critical for existence of the positive solutions for some double bounded functions $C_{i}(x)$ $(i=1,2)$. Such an integral equation system is related to the study of the $\gamma$-Laplace system and $k$-Hessian system with negative exponents. Estimated by the integral of the Wolff type potential, we obtain the asymptotic rates and the integrability of positive solutions, and studied whether the radial solutions exist.

Natural Convection Heat Transfer in a Rectangular Liquid Metal Pool With Bottom Heating and Top Cooling

2006 ◽  
Author(s):  
Il S. Lee ◽  
Yong H. Yu ◽  
Hyoung M. Son ◽  
Jin S. Hwang ◽  
Kune Y. Suh
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Liquid Metal ◽  
Convection Heat Transfer ◽  
Bottom Surface ◽  
Natural Convection Heat Transfer ◽  
Metal Pool ◽  
Convection Heat ◽  
Integral System ◽  
Bottom Heating

An experimental study is performed to investigate the natural convection heat transfer characteristics with subcooled coolant to create engineering database for basic applications in a lead alloy cooled reactor. Tests are performed in the ALTOS (Applied Liquid-metal Thermal Operation Study) apparatus as part of MITHOS (Metal Integrated Thermo Hydrodynamic Operation System). A relationship is determined between the Nusselt number Nu and the Rayleigh number Ra in the liquid metal rectangular pool. Results are compared with correlations and experimental data in the literature. Given the similar Ra condition, the present test results for Nu of the liquid metal pool with top subcooling are found to be similar to those predicted by the existing correlations or experiments. The current test results are utilized to develop natural convection heat transfer correlations applicable to low Prandtl number Pr fluids that are heated from below and cooled by the external coolant above. Results from this study are slated to be used in designing BORIS (Battery Optimized Reactor Integral System), a small lead cooled modular fast reactor for deployment at remote sites cycled with MOBIS (Modular Optimized Brayton Integral System) for electricity generation, tied with NAVIS (Naval Application Vessel Integral System) for ship propulsion, joined with THAIS (Thermochemical Hydrogen Acquisition Integral System) for hydrogen production, and coupled with DORIS (Desalination Optimized Reactor Integral System) for seawater desalination. Tests are performed with Wood’s metal (Pb-Bi-Sn-Cd) filling a rectangular pool whose lower surface is heated and upper surface cooled by forced convection of water. The test section is 20 cm long, 11.3 cm high and 15 cm wide. The simulant has a melting temperature of 78°C. The constant temperature and heat flux condition was realized for the bottom heating once the steady state had been met. The test parameters include the heated bottom surface temperature of the liquid metal pool, the input power to the bottom surface of the section, and the coolant temperature.

Integral System to Determine Feasible Regions for Biomass Utilization

2017 ◽  
pp. 1891-1896
Author(s):  
José E. Santibañez-Aguilar ◽  
Diego F. Lozano-García ◽  
Francisco J. Lozano ◽  
Antonio Flores-Tlacuahuac
Keyword(s):  
Biomass Utilization ◽  
Integral System
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