Index spaces and standard indices in metric modelling

التفاصيل البيبلوغرافية
العنوان: Index spaces and standard indices in metric modelling
المؤلفون: Ezgi Erdoğan, Antonia Ferrer-Sapena, Eduardo Jiménez-Fernández
المساهمون: ERDOĞAN E., Ferrer-Sapena A., Jimenez-Fernandez E., Sanchez-Perez E. A.
المصدر: Digibug. Repositorio Institucional de la Universidad de Granada
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بيانات النشر: Vilnius University, 2022.
سنة النشر: 2022
مصطلحات موضوعية: MEKANİK, Temel Bilimler (SCI), Mühendislik, ENGINEERING, Analiz, MATHEMATICS, Genel Matematik, Mathematics (miscellaneous), Cebir ve Sayı Teorisi, Matematik, Hesaplamalı Teori ve Matematik, Numerical Analysis, Temel Bilimler, MATEMATİK, DİSİPLİNLERARASI UYGULAMALAR, Applied Mathematics, Hesaplamalı Matematik, General Engineering, standard index, Computational Mathematics, MATHEMATICS, APPLIED, Index space, Computational Theory and Mathematics, Modeling and Simulation, Natural Sciences (SCI), Physical Sciences, Engineering and Technology, Natural Sciences, General Mathematics, Mühendislik (çeşitli), Modelleme ve Simülasyon, Metric model, Standard index, Genel Mühendislik, Uygulamalı matematik, Bilgisayar Bilimleri, Engineering, Computing & Technology (ENG), Engineering (miscellaneous), Sayısal analiz, Algebra and Number Theory, MATHEMATICS, INTERDISCIPLINARY APPLICATIONS, metric model, Mühendislik, Bilişim ve Teknoloji (ENG), MATEMATİK, UYGULAMALI, Fizik Bilimleri, Computer Science, MECHANICS, Matematik (çeşitli), Mühendislik ve Teknoloji, index space, Lipschitz extension, Triage, triage, Analysis
الوصف: This research was partially supported by the grant PID2019-105708RB funded by MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe". The second, third and fourth authors gratefully acknowledge the support of the Catedra de Transparencia y Gestion de Datos, Universitat Politecnica de Valencia, Generalitat Valenciana.
We analyze the basic structure of certain metric models, which are constituted by an index I acting on a metric space (D; d) representing a relevant property of the elements of D. We call such a structure (D; d; I) an index space and define on it normalization and consistency constants that measure to what extent I is compatible with the metric d. The “best” indices are those with such constants equal to 1 (standard indices), and we show an approximation method for other indices using them. With the help of Lipschitz extensions, we show how to apply these tools: a new model for the triage process in the emergency department of a hospital is presented.
MCIN/AEI PID2019-105708RB
ERDF A way of making Europe
Catedra de Transparencia y Gestion de Datos, Universitat Politecnica de Valencia, Generalitat Valenciana
وصف الملف: application/pdf
اللغة: English
تدمد: 2019-1057
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::209af37bd958c30bd06019a73f020cd0
http://hdl.handle.net/10481/75295
حقوق: OPEN
رقم الأكسشن: edsair.doi.dedup.....209af37bd958c30bd06019a73f020cd0
قاعدة البيانات: OpenAIRE