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A Triangle Inequality for Cosine Similarity [PDF]

open access: yes, 2021
Similarity search is a fundamental problem for many data analysis techniques. Many efficient search techniques rely on the triangle inequality of metrics, which allows pruning parts of the search space based on transitive bounds on distances. Recently, Cosine similarity has become a popular alternative choice to the standard Euclidean metric, in ...
openaire   +2 more sources

Controlled Metric Type Spaces and the Related Contraction Principle

open access: yesMathematics, 2018
In this article, we introduce a new extension of b-metric spaces, called controlled metric type spaces, by employing a control function α ( x , y ) of the right-hand side of the b-triangle inequality.
Nabil Mlaiki   +3 more
doaj   +1 more source

Efficient Neighborhood Covering Model Based on Triangle Inequality Checkand Local Strategy [PDF]

open access: yesJisuanji kexue, 2022
Neighborhood covering model is widely used in classification tasks for its simple mechanism and ability to handle complex data.However,the neighborhood covering model has the problem of low efficiency and lack of related research work.To solve this ...
CHEN Yu-si, AI Zhi-hua, ZHANG Qing-hua
doaj   +1 more source

Some Triangle Inequalities and Generalizations [PDF]

open access: yesCanadian Mathematical Bulletin, 1980
AbstractLet , where ai, s, and x are real, and II denotes the product over cyclic rearrangements of the subscripts. We show that, in five special cases, Dn, s(x)Dn, s(y) is greater than a fixed multiple of Dn, s(x + y).
Carroll, C. E., Yang, C. C., Ahn, S.
openaire   +1 more source

Another Aspect of Triangle Inequality [PDF]

open access: yesISRN Mathematical Analysis, 2011
We introduce the notion of ψ-norm by considering the fact that an absolute normalized norm on C2 corresponds to a continuous convex function ψ on the unit interval [0,1] with some conditions. This is a generalization of the notion of q-norm introduced by Belbachir et al. (2006). Then we show that a ψ-norm is a norm in the usual sense.
Kichi-Suke Saito   +3 more
openaire   +1 more source

Genuine monogamy relations in no-signaling theories—a geometric approach

open access: yesNew Journal of Physics, 2021
Quantum correlations are subject to certain distribution rules represented by so-called monogamy relations. Derivation of monogamy relations for multipartite systems is a non-trivial problem, as the multipartite correlations reveal their behaviors in a ...
Junghee Ryu   +4 more
doaj   +1 more source

Vernacular Futurism: How Persian Language Users Imagine AI

open access: yesAI &Innovation, EarlyView.
ABSTRACT Public discourse about artificial intelligence increasingly unfolds through compressed forecasts, moral warnings, and everyday speculation circulating at platform speed. This study examines how Persian language users on X construct and contest AI futures, analyzing a corpus of 4741 posts collected between January 2023 and December 2025, with ...
Arthur Asa Berger, Ehsan Shahghasemi
wiley   +1 more source

Constraining momentum space CFT correlators with consistent position space OPE limit and the collider bound

open access: yesJournal of High Energy Physics, 2022
Consistency with position space OPE limit requires three-point momentum space CFT correlators to have only total energy singularity. We show that this requirement gives a simple proof of the known result that in three dimensions the parity-odd structure ...
Sachin Jain   +3 more
doaj   +1 more source

The psychosocial toll of Dublin III on asylum seekers in the Netherlands

open access: yesAmerican Journal of Community Psychology, EarlyView.
Abstract The Dublin III Regulation determines which EU Member State is responsible for examining asylum claims, but its implementation carries significant consequences for those subjected to it. This study examines how Dublin III, as implemented in the Netherlands, affects asylum seekers' psychosocial wellbeing using Silove′s Adaptation and Development
Imen El Amouri
wiley   +1 more source

Investigating the Effect of Tourism on the Triangle of Poverty, Inequality and Economic Growth [PDF]

open access: yesMuṭāli̒āt-i Mudīriyyat-i Gardishgarī, 2017
Along with the evolution of the relationship between tourism and economicgrowth, other aspects of economic welfare have been more attractive rather thaneconomic growth.
مهدیه رضاقلی زاده
doaj   +1 more source

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