Derivation of the Schrödinger equation V: Relativistic Equations of Quantum Mechanics and its epistemological impacts on teaching by L.S.F. Olavo, Marcello Ferreira

“…We show that, to extend the theoretical framework to the relativistic case, we have only to extend the axioms in a relativistically compatible way, as should be the case with any extension of an axiomatic method. …”
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Some Applications of Supra Preopen Sets by M. E. El-Shafei, A. H. Zakari, T. M. Al-shami

“…In general, we study their main properties in detail and show the implications of these separation axioms among themselves as well as with STi-space with the help of some interesting examples.…”
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More on Dα-Closed Sets in Topological Spaces by Xiao-Yan Gao, Ahmed Mostafa Khalil

“…Then, we introduce new separation axioms (i.e., Dα−R0 and Dα−R1) by using the notions of Dα-open set and Dα-closure. …”
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On r-Generalized Fuzzy ℓ-Closed Sets: Properties and Applications by I. M. Taha

“…Finally, some separation axioms of r-generalized fuzzy ℓ-closed sets are introduced and studied. …”
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A New Similarity Measure between Intuitionistic Fuzzy Sets and Its Application to Pattern Recognition by Yafei Song, Xiaodan Wang, Lei Lei, Aijun Xue

“…Although many similarity measures for intuitionistic fuzzy sets have been proposed in previous studies, some of those cannot satisfy the axioms of similarity or provide counterintuitive cases. …”
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An Ontology for Digital Medicine Outcomes: Development of the Digital Medicine Outcomes Value Set (DOVeS) by Benjamin Rosner, Matthew Horridge, Guillen Austria, Tiffany Lee, Andrew Auerbach

“…ResultsIn its current state, DOVeS contains 42,320 and 9481 native axioms and distinct classes, respectively. These numbers are enhanced when taking into account the axioms and classes contributed by MONDO and the Ontology of Adverse Events. …”
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An analytical survey of pleonasm occurrence in the Holy Quran by hamed dehghani firouzabadi, ali Rad

“…Throughout the survey, the backgrounds of redundancy in the Holy Quran are as: the syntagmatic of seemingly synonymous words, the syntagmatic of interdependent words, the expression of axioms, the reference of common and proper nouns on each other and the recurrence of a single term.…”
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Belong and Nonbelong Relations on Double-Framed Soft Sets and Their Applications by Tareq M. Al-shami, Abdelwaheb Mhemdi

“…By the notions presented herein, many concepts can be studied on double-framed soft topology such as soft separation axioms and cover properties. Second, we give an educational application of optimal choices using the idea of double-framed soft sets. …”
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Berkeley’s Best System: An Alternative Approach to Laws of Nature by Walter Ott

“…Contemporary Humeans treat laws of nature as statements of exceptionless regularities that function as the axioms of the best deductive system. Such ‘Best System Accounts’ marry realism about laws with a denial of necessary connections among events. …”
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A Generalization of the Havrda-Charvat and Tsallis Entropy and Its Axiomatic Characterization by Satish Kumar, Gurdas Ram

“…In this communication, we characterize a measure of information of types α, β, and γ by taking certain axioms parallel to those considered earlier by Havrda and Charvat along with the recursive relation Hn(p1,…,pn; α, β, γ) - Hn-1(p1+p2, p3,…,pn; α, β, γ) = (A(α,γ)/(A(α,γ)-A(β,γ)))p1+p2α/γH2(p1/(p1+p2), p2/(p1+p2); α,γ) + (A(β,γ)/(A(β,γ)-A(α,γ)))(p1+p2)(β/γ)H2(p1/(p1+p2), p2/(p1+p2); γ, β), α≠γ≠β, α, β, γ>0. …”
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Asteroids: Assessing Catastrophic Risks by Graciela Chichilnisky, Peter Eisenberger

“…We establish why expected value is insensitive to catastrophic risks see the study by Chichilnisky (1996), and use another criterion to evaluate risk based on axioms for choice under uncertainty that update the classic Von Neumann theory and require equal treatment for rare and frequent events. …”
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Bipolar Soft Sets: Relations between Them and Ordinary Points and Their Applications by Tareq M. Al-shami

“…In conclusion, it can be noted that the relations defined herein give another viewpoint to explore the concepts of bipolar soft topology, in particular, soft separation axioms and soft covers.…”
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Fuzzy Logic for Incidence Geometry by Alex Tserkovny

“…In the paper we discuss the fuzzy logic (Aliev and Tserkovny, 2011) as a reasoning system for geometry of extended objects, as well as a basis for fuzzification of the axioms of incidence geometry. The same fuzzy logic was used for fuzzification of Euclid’s first postulate. …”
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Application of first-order logic to identify organizers and perpetrators of illegal actions in teams of a limited circle of people by A. М. Sobol, E. I. Kozlova, Yu. A. Chernyavsky

“…When solving specific problems, the most effective algorithms are those that allow you to cover all the facts and axioms and must be taken into account in the process of inference. …”
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Complexity-Based Modeling of Scientific Capital: An Outline of Mathematical Theory by Yurij L. Katchanov, Natalia A. Shmatko

“…The principal contribution of this paper is an axiomatic characterization of scientific capital in terms of natural axioms. The application of the axiomatic method to scientific capital reveals novel insights into problem still not covered by mathematical modeling. …”
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"The World is too much with us:" The Character of Literary Studies Today by Zekiye Antakyalıoğlu

“…On the one hand, it is indebted to the legacy of Theory and forms discursive practices in relation to it; on the other hand, it is critical of Theory’s antiessentialism or lack of ethos, and reassesses its foundational axioms with contemporary ontological anxieties and motives. …”
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ON THE THIN PRACTICAL RATIONALITY AND ITS THICKENINGS by Zenonas Norkus

“…Relatively practically rational is the choice of an agent whose preferences in addition to the standard 6 axioms of the theory of expected utility satisfy two supplementary ones: (7) preferences are realistic and (8) they are shaped in some specific way. …”
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ON THE THIN PRACTICAL RATIONALITY AND ITS THICKENINGS by Zenonas Norkus

“…Relatively practically rational is the choice of an agent whose preferences in addition to the standard 6 axioms of the theory of expected utility satisfy two supplementary ones: (7) preferences are realistic and (8) they are shaped in some specific way. …”
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