Results 1 to 10 of about 5,393 (157)
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.
Nicusor Minculete +2 more
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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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Axioms, 2023 Path planning is an important area of mobile robot research, and the ant colony optimization algorithm is essential for analyzing path planning. However, the current ant colony optimization algorithm applied to the path planning of mobile robots still ...
Wenhong Wei, Shuai Wu, Li Qingxia
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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 concept teaching: The theory of didactic situations case [PDF]
Journal of Pedagogical Research, 2023 The purpose of this study is to implement an a-didactical activity relating to the acquisition of the triangle inequality, prepared within the framework of the Didactic Situations Theory (TDS), and to report the experiences of the students during the ...
Tuba Yenil +2 more
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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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Characterization of intermediate values of the triangle inequality II
Open Mathematics, 2014 Kichi-Suke Saito
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