Results 1 to 10 of about 176,996 (166)
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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More on reverse triangle inequality in inner product spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Refining some results of Dragomir, several new reverses of the generalized triangle inequality in inner product spaces are given. Among several results, we establish some reverses for the Schwarz inequality.
A. H. Ansari, M. S. Moslehian
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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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Two inequalities about the pedal triangle [PDF]
Journal of Inequalities and Applications, 2018 Two conjectures about the pedal triangle are proved. For the first conjecture, the product of the distances from an interior point to the vertices is mainly considered and a lower bound is obtained by the geometric method.
Fangjian Huang
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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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Symplectic triangle inequality [PDF]
Proceedings of the American Mathematical Society, 2020 We prove a non-squeezing result for Lagrangian embeddings of the real projective plane into blow-ups of the symplectic ball.
Shevchishin, Vsevolod, Smirnov, Gleb
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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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