Results 1 to 10 of about 2,598 (144)
On triangle inequalities of correlation-based distances for gene expression profiles [PDF]
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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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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Correction: On triangle inequalities of correlation-based distances for gene expression profiles [PDF]
BMC Bioinformatics, 2023 Jiaxing Chen +4 more
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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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The symmetric division Szeged index: A novel tool for predicting physical and chemical properties of complex networks [PDF]
HeliyonThis paper introduces a novel graph invariant, the symmetric division Szeged index (SDZ), which generalizes earlier concepts by focusing on vertices positioned closer to an edge's endpoints rather than vertex degrees.
Modjtaba Ghorbani +3 more
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Banach Contraction Principle and Meir–Keeler Type of Fixed Point Theorems for Pre-Metric Spaces
Axioms, 2021 The fixed point theorems in so-called pre-metric spaces is investigated in this paper. The main issue in the pre-metric space is that the symmetric condition is not assumed to be satisfied, which can result in four different forms of triangle ...
Hsien-Chung Wu
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Ceva's triangle inequalities [PDF]
Mathematical Inequalities & Applications, 2014 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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Some higher norm inequalities for composition of power operators
Journal of Inequalities and Applications, 2020 In this paper, we first prove the local L s $L^{s}$ norm estimate of composite operators △ k G m ( u ) $\triangle^{k}G^{m}(u)$ by use of the L s $L^{s}$ norm of u.
Huacan Li, Qunfang Li
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Effects of white noise on the violation of Bell-type inequalities based on probability theory
New Journal of Physics, 2021 We introduce two types of statistical quasi-separation between local observables to construct two-party Bell-type inequalities for an arbitrary dimensional systems and arbitrary number of measurement settings per site.
Arijit Dutta, Jaewan Kim, Jinhyoung Lee
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Axioms, 2021 This paper investigates the common coupled coincidence points and common coupled fixed points in fuzzy semi-metric spaces. The symmetric condition is not necessarily satisfied in fuzzy semi-metric space. Therefore, four kinds of triangle inequalities are
Hsien-Chung Wu
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