Estimates for the Green function and singular solutions for polyharmonic nonlinear equation by Imed Bachar, Habib Màagli, Syrine Masmoudi, Malek Zribi

“…This enables us to introduce a new class of functions Km,n containing properly the classical Kato class Kn. We exploit properties of functions belonging to Km,n to prove an infinite existence result of singular positive solutions for nonlinear elliptic equation of order 2m.…”
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Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active Control by Sachin Bhalekar, Varsha Daftardar-Gejji

“…The stability analysis is carried out using classical results. We also provide numerical results to verify the effectiveness of the proposed theory.…”
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TRAJECTORY ERROR MINIMISATION METHOD DUE TO TRANSIENT REGIME VARIATION OF INDUSTRIAL ROBOTS KINEMATIC LINKS by ANDREI LUNCANU, GHEORGHE STAN

“… In the current industry, industrial robots are gaining more and more ground to classical positioning methods, especially due to the ratio of workspace / volume of the industrial robot. …”
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Attractors of Compactly Generated Semigroups of Regular Polynomial Mappings by Azza Alghamdi, Maciej Klimek, Marta Kosek

“…We show that such attractors can be approximated both deterministically and probabilistically in a manner of the classic chaos game.…”
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Designing and planning a bioethanol supply chain network under uncertainty using a data-driven robust optimization model under disjunctive uncertainty sets by Farzaneh MansooriMooseloo, Maghsoud Amiri, Mohammad Taghi Taghavi Fard, Mostafa Hajiaghaei-Keshteli

“…Purpose: Most research in the field of designing and planning bioethanol supply chains has been based on deterministic models, which do not consider dynamic environmental conditions and thus do not provide reliable outputs. Classic robust models did not have this weakness, but due to their excessive conservatism, they increased supply chain costs, making them unattractive to investors. …”
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Subgingival Delivery of Statins as an Adjunct in the Non-Surgical Treatment of Periodontitis: A Systematic Review by Magdalena Maria Pietrzko, Maciej Pietrzko, Wojciech Niemczyk, Dariusz Skaba, Rafał Wiench

“…In recent years, studies have emerged suggesting additional clinical benefits from the use of statins as an adjunct to classical periodontal disease treatment. The aim of the present study was to review the relevant literature relating to the subgingival use of statins as an adjunctive treatment to the classical, non-surgical treatment of periodontitis, with a particular focus on groups with general factors that may affect the outcome of treatment. …”
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Numerical Approximations and Fractional Calculus: Extending Boole’s Rule with Riemann–LiouvilleFractional Integral Inequalities by Abdul Mateen, Wali Haider, Asia Shehzadi, Hüseyin Budak, Bandar Bin-Mohsin

“…The research emphasizes the importance of the Riemann–Liouville fractional operator in solving problems related to non-integer-order differentiation, highlighting its pivotal role in enhancing classical inequalities. These newly established inequalities offer sharper error bounds for various numerical quadrature formulas in classical calculus, marking a significant advancement in computational mathematics. …”
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The Effect of Combined Tensile-Torsional Loading Path on the Stress/Strain States of Thin-Walled Circular Tubes by Yue Gao, Fei Shao, Qian Xu, Linyue Bai, Qingna Ma, Mei Shen, Lixiang He, Ming Chen

“…The investigation for a general principle concerning the effect of loading history on the mechanical behavior of engineering materials, based on the classical plastic mechanics, has an important theoretical significance. …”
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Herald Patch as the Only Evidence of Pityriasis Rosea: Clinical, Laboratory and Pathogenetic Features by Francesco Drago, Astrid Herzum, Serena Varesano, Gaetano Serviddio, Francesco Broccolo, Giulia Ciccarese

“…This rare variant of PR might be considered an abortive form of the exanthem that occurs when the HHV-6/7 reactivation from latency is contrasted by a more robust immunological response than in classic PR.…”
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Individual Differences in Behavioural Despair Predict Brain GSK-3beta Expression in Mice: The Power of a Modified Swim Test by Tatyana Strekalova, Nataliia Markova, Elena Shevtsova, Olga Zubareva, Anastassia Bakhmet, Harry M. Steinbusch, Sergey Bachurin, Klaus-Peter Lesch

“…We used a modification of the classic two-day protocol of a mouse Porsolt test with an additional session occurring on Day 5 following the initial exposure. …”
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Practical Implications in Contemporary Dental Aesthetics—Shade Selection Assessment Using Intraoral Scanners by Alice Arina Ciocan Pendefunda, Cristina Gena Dascalu, Sebastian Bahrim, Cristina Iordache, Odette Luca, Magda-Ecaterina Antohe

“…<b>Methods:</b> To conduct this in vitro study, the VITA Classical shade guide was used. The intraoral scanners would not be able to scan the VITA Classical as it is, hence, a study model (SM) was fabricated. …”
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Multiscale deformation analysis by Cauchy-Navier wavelets by M. K. Abeyratne, W. Freeden, C. Mayer

“…A geoscientifically relevant wavelet approach is established for the classical (inner) displacement problem corresponding to a regular surface (such as sphere, ellipsoid, and actual earth surface). …”
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The Spiraling Case of a Yellow Chef: Isolated Hyperbilirubinemia by Karen Jiang, Ahmad Najdat Bazarbashi, Sami Dahdal, Adina Voiculescu, Natalia Khalaf

“…As mortality increases with more extensive hepatic involvement, gastroenterologists should be aware of the constellation of gastrointestinal symptoms related to leptospirosis, as it can occur in the absence of classic exposure history.…”
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Extracting the fingerprints of sequences of random rhythmic auditory stimuli from electrophysiological data. by Fernando A Najman, Antonio Galves, Marcela Svarc, Claudia D Vargas

“…It has been classically conjectured that the brain assigns probabilistic models to sequences of stimuli. …”
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Jardins dessinés et dessins de jardin  by Catherine Fricheau

“…Indeed, the space of the classical garden appears to depend much more on a perfectly trained « eye judgment» than on the control conferred to the « architectural project» by the metrical accuracy of the plan.…”
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Nostalgie et posthistoire dans quelques utopies louis-quatorziennes (1675-1714) by Peter Murvai

“…Thus, inside this paradigm, the hypothesis of a correlation between the classical narrative utopias and the ideology of progress doesn’t stand scrutiny given the fact that these texts reject the foundations of liberalism in the name of the old ideal of the civic republicanism and of the simplicity of the Native Americans.…”
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Payload Mass Identification of a Single-Link Flexible Arm Moving under Gravity: An Algebraic Identification Approach by Juan Carlos Cambera, Andres San-Millan, Vicente Feliu-Batlle

“…In order to highlight its performance, the proposed estimator is experimentally tested and compared with other classical methods in several situations that resemble the most typical operation of a manipulator.…”
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Multiple-Model Adaptive Estimation with A New Weighting Algorithm by Weicun Zhang, Sufang Wang, Yuzhen Zhang

“…A new scheme of weighted multiple-model adaptive estimation is presented, in which the classical weighting algorithm is replaced by a new weighting algorithm to reduce the calculation burden and to relax the convergence conditions. …”
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D-complete Single Axioms for the Equivalential Calculus with the rules D and R by Marcin Czakon

“…Ulrich showed that most of the known axiomatisations of the classical equivalence calculus (EC) are D-incomplete, that is, they are not complete with the condensed detachment rule (D) as the primary rule of the proof procedure. …”
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Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities by Muhammad Aslam Noor, Khalida Inayat Noor, Eisa Al-Said

“…The mixed trifunction variational inequality includes the trifunction variational inequalities and the classical variational inequalities as special cases. …”
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