Results 1 to 10 of about 644,844 (268)
Improved estimates for the triangle inequality [PDF]
Journal of Inequalities and Applications, 2017 We obtain refined estimates of the triangle inequality in a normed space using integrals and the Tapia semi-product. The particular case of an inner product space is discussed in more detail.
Nicuşor Minculete, Radu Păltănea
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Properties of distance spaces with power triangle inequalities
Karpatsʹkì Matematičnì Publìkacìï, 2016 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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Quantifying edge relevance for epidemic spreading via the semi-metric topology of complex networks [PDF]
Journal of Physics: ComplexitySparsification aims at extracting a reduced core of associations that best preserves both the dynamics and topology of networks while reducing the computational cost of simulations.
David Soriano-Paños +2 more
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On distances and metrics in discrete ordered sets [PDF]
Mathematica Bohemica, 2021 Discrete partially ordered sets can be turned into distance spaces in several ways. The distance functions may or may not satisfy the triangle inequality and restrictions of the distance to finite chains may or may not coincide with the natural ...
Stephan Foldes, Sándor Radeleczki
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Triangle Inequality for Inverse Optimal Control
IEEE Access, 2023 Inverse optimal control (IOC) is a problem of estimating a cost function based on the behaviors of an expert that behaves optimally with respect to the cost function.
Sho Mitsuhashi, Shin Ishii
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On Several Bounds for Types of Angular Distances
Mathematics, 2022 In this study, we introduce the expression dλ(x,y):=λ∥x∥+(1−λ)∥y∥−∥λx+(1−λ)y∥ on the real normed space X(X,∥·∥), where x,y∈X and λ∈R. We characterize this expression and find various estimates of it.
Augusta Raţiu, Nicuşor Minculete
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On triangle inequalities of correlation-based distances for gene expression profiles
BMC Bioinformatics, 2023 Background Distance functions are fundamental for evaluating the differences between gene expression profiles. Such a function would output a low value if the profiles are strongly correlated—either negatively or positively—and vice versa.
Jiaxing Chen +4 more
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All geographical distances are optimal
Cybergeo, 2020 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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POVERTY-GROWTH-INEQUALITY TRIANGLE: EMPIRICAL EVIDENCE FROM NIGERIA
Torun International Studies, 2022 Purpose: Eradicating poverty is critical to achieving sustainable development. This study appraised the relationship between poverty, economic growth and income inequality in Nigeria and the interaction effect of growth and income inequality on Nigeria’s
GERALDINE EJIAKA NZERIBE +4 more
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Common Coincidence Points and Common Fixed Points in Fuzzy Semi-Metric Spaces
Mathematics, 2018 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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