Results 11 to 20 of about 177,016 (186)
All geographical distances are optimal
Triangular inequality is one of the four mathematical properties of distance. Its respect derives from the optimal nature of the measurement of distance.
Alain L’Hostis
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Ceva's triangle inequalities [PDF]
We characterize triples of cevians which form a triangle independent of the triangle where they are constructed. This problem is equivalent to solving a three-parameter family of inequalities which we call Ceva's triangle inequalities. Our main result provides the parametrization of the solution set.
Bényi, Árpád, Ćurgus, Branko
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Properties of distance spaces with power triangle inequalities
Metric spaces provide a framework for analysis and have several very useful properties. Many of these properties follow in part from the triangle inequality.
D. Greenhoe
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On the Extension of the Erdos-Mordell Type Inequalities [PDF]
We discuss the extension of inequality R_A >= c/a * r_b + b/a * r_c to the plane of triangle ABC. Based on the obtained extension, in regard to all three vertices of the triangle, we get the extension of Erdos-Mordell inequality, and some inequalities of
Malesevic, Branko +3 more
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Common Coincidence Points and Common Fixed Points in Fuzzy Semi-Metric Spaces
We propose the so-called fuzzy semi-metric space in which the symmetric condition is not assumed to be satisfied. In this case, there are four kinds of triangle inequalities that should be considered.
Hsien-Chung Wu
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On certain new refinements of Finsler-Hadwiger inequalities
Several refinements of the Finsler-Hadwiger inequality and its reverse in the triangle are discussed. A new one parameter family of Finsler-Hadwiger inequalities and their reverses are proved.
Omran Kouba
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The triangle of inequality in dental services: arguments for a new conceptual framework
This short communication paper aimed to compile the main determinants of inequality in dental services by distinguishing between access, utilisation, and provision of dental services.
Arash Ghanbarzadegan +4 more
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Some Improvements of the Cauchy-Schwarz Inequality Using the Tapia Semi-Inner-Product
The aim of this article is to establish several estimates of the triangle inequality in a normed space over the field of real numbers. We obtain some improvements of the Cauchy–Schwarz inequality, which is improved by using the Tapia semi-inner-product ...
Nicuşor Minculete, Hamid Reza Moradi
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Do Poverty and Economic Growth Matter for Income Inequality Reduction in Yogyakarta Province?
It has been observed that income inequality is an economic element that may impede a nation's economic development. In general, Indonesia's Gini ratio has remained low for nearly a decade, although one region, Yogyakarta Province, unexpectedly exceeds ...
Athari Maurilla +2 more
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The triangle inequality constraint in similarity judgments [PDF]
Since Tversky's (1977) seminal investigation, the triangle inequality, along with symmetry and minimality, have had a central role in investigations of the fundamental constraints on human similarity judgments.
Barque-Duran, A. +4 more
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