The Basic Principles of Interval Analysis

Author(s):  
Chao Jiang ◽  
Xu Han ◽  
Huichao Xie
Author(s):  
Jean-Pierre Merlet

Interval Analysis for Certified Numerical Solution of Problems in RoboticsInterval analysis is a relatively new mathematical tool that allows one to deal with problems that may have to be solved numerically with a computer. Examples of such problems are system solving and global optimization, but numerous other problems may be addressed as well. This approach has the following general advantages: (a) it allows to find solutions of a problem only within some finite domain which make sense as soon as the unknowns in the problem are physical parameters; (b) numerical computer round-off errors are taken into account so that the solutions are guaranteed; (c) it allows one to take into account the uncertainties that are inherent to a physical system. Properties (a) and (c) are of special interest in robotics problems, in which many of the variables are parameters that are measured (i.e., known only up to some bounded errors) while the modeling of the robot is based on parameters that are submitted to uncertainties (e.g., because of manufacturing tolerances). Taking into account these uncertainties is essential for many robotics applications such as medical or space robotics for which safety is a crucial issue. A further inherent property of interval analysis that is of interest for robotics problems is that this approach allows one to deal with theuncertaintiesthat are unavoidable in robotics. Although the basic principles of interval analysis are easy to understand and to implement, this approach will be efficient only if the right heuristics are used and if the problem at hand is formulated appropriately. In this paper we will emphasize various robotics problems that have been solved with interval analysis, many of which are currently beyond the reach of other mathematical approaches.


2010 ◽  
Vol 20 (3) ◽  
pp. 100-105 ◽  
Author(s):  
Anne K. Bothe

This article presents some streamlined and intentionally oversimplified ideas about educating future communication disorders professionals to use some of the most basic principles of evidence-based practice. Working from a popular five-step approach, modifications are suggested that may make the ideas more accessible, and therefore more useful, for university faculty, other supervisors, and future professionals in speech-language pathology, audiology, and related fields.


1996 ◽  
Vol 35 (05) ◽  
pp. 181-185 ◽  
Author(s):  
H. Herzog

SummaryThe measurement of blood flow in various organs and its visual presentation in parametric images is a major application in nuclear medicine. The purpose of this paper is to summarize the most important nuclear medicine procedures used to quantify regional blood flow. Starting with the first concepts introduced by Fick and later by Kety-Schmidt the basic principles of measuring global and regional cerebral blood are discussed and their relationships are explained. Different applications and modifications realized first in PET- and later in SPECT-studies of the brain and other organs are described. The permeability and the extraction of the different radiopharmaceuticals are considered. Finally some important instrumental implications are compared.


1976 ◽  
Vol 15 (02) ◽  
pp. 69-74
Author(s):  
M. Goldberg ◽  
B. Doyon

This paper describes a general data base management package, devoted to medical applications. SARI is a user-oriented system, able to take into account applications very different by their nature, structure, size, operating procedures and general objectives, without any specific programming. It can be used in conversational mode by users with no previous knowledge of computers, such as physicians or medical clerks.As medical data are often personal data, the privacy problem is emphasized and a satisfactory solution implemented in SARI.The basic principles of the data base and program organization are described ; specific efforts have been made in order to increase compactness and to make maintenance easy.Several medical applications are now operational with SARI. The next steps will mainly consist in the implementation of highly sophisticated functions.


2001 ◽  
pp. 91-100
Author(s):  
Yu. Ye. Reshetnikov

Last year, the anniversary of all Christianity, witnessed a number of significant events caused by a new interest in understanding the problem of the unity of the Christian Church on the turn of the millennium. Due to the confidentiality of Ukraine, some of these events have or will have an immediate impact on Christianity in Ukraine and on the whole Ukrainian society as a whole. Undoubtedly, the main event, or more enlightened in the press, is a new impetus to the unification of the UOC-KP and the UAOC. But we would like to focus on two documents relating to the problem of Christian unity, the emergence of which was almost unnoticed by the wider public. But at the same time, these documents are too important as they outline the future policy of other Christian denominations by two influential Ukrainian christian churches - the Russian Orthodox Church and the Ukrainian Greek Catholic Church. These are the "Basic Principles of the attitude of the Russian Orthodox Church to the" I ", adopted by the Anniversary Bishops' Council of the Russian Orthodox Church, and the Concept of the Ecumenical Position of the Ukrainian Greek Catholic Church, adopted by the Synod of the Bishops of the UGCC. It is clear that the theme of the second document is wider, but at the same time, ecumenism, unification is impossible without solving the problem of relations with others, which makes it possible to compare the approaches laid down in the mentioned documents to the building of relations with other Christian confessions.


2015 ◽  
pp. 147-160 ◽  
Author(s):  
S. Bobylev ◽  
N. Zubarevich ◽  
S. Solovyeva

The article emphasizes the fact that traditional socio-economic indicators do not reflect the challenges of sustainable development adequately, and this is particularly true for the widely-used GDP indicator. In this connection the elaboration of sustainable development indicators is needed, taking into account economic, social and environmental factors. For Russia, adaptation and use of concepts and basic principles of calculation methods for adjusted net savings index (World Bank) and human development index (UNDP) as integral indicators can be promising. The authors have developed the sustainable development index for Russia, which aggregates and allows taking into account balanced economic, social and environmental indicators.


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