Probabilities as Values of Modular Forms and Continued Fractions by Riad Masri, Ken Ono

“…We show that the corresponding probabilities are values of classical modular forms. Thanks to this connection, we then show that certain ratios of probabilities are specializations of the Rogers-Ramanujan and Ramanujan- Selberg- Gordon-Göllnitz continued fractions. …”
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Identities with derivations and automorphisms on semiprime rings by Joso Vukman

“…The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. …”
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On natural law as a possible normative reference point in legislative processes by Bogdan Szlachta

“… In the modern era, the only indicator of the validity of law is that it is passed by the authorities in accordance with procedures. Has the classical theory of natural law ceased to matter? The author, referring to contemporary statements of popes and documents of the Catholic Church, analyses what significance natural law has today from a normative point of view and why it is particularly important in the present-day world, as well as in a multicultural world. …”
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Fixed Point Theorems for Generalized Mizoguchi-Takahashi Graphic Contractions by Nawab Hussain, Jamshaid Ahmad, Marwan Amin Kutbi

“…For the purpose of extension and modification of classical ideas related with Mizoguchi-Takahashi contraction, we define generalized Mizoguchi-Takahashi G-contractions and establish some generalized fixed point theorems regarding these contractions in this paper. …”
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Laguerre-type Bell polynomials by P. Natalini, P. E. Ricci

“…We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical tool. …”
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Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation by Hui Zhou, Zongfu Zhou, Wei Jiang

“…The new criteria not only improve some classical results but also are applied in real problems due to the changes of external input.…”
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Florida Pusley Biology and Control in Fruiting Vegetables, Cucurbits, and Small Fruits by Andrew MacRae

“…MacRae, describes this drought-resistant annual with hairy leaves and stems that is common in row middles, strawberry production fields, and organic mulch for highbush blueberries — classification, seedling identification, mature plant, management considerations, and classical control. Includes reference. Published by the UF Department of Horticultural Sciences, May 2010.   …”
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DEVELOPMENT OF TECHNOLOGY OF THE HIGH-QUALITY CAST IRONS PRODUCTION BY MEANS OF GRAPHITIZING MODIFICATION BY THE HIGH-POLYMERIC AMALGAMATION WASTES by A. I. Garost

“…The variant of graphitizing modification of gray cast irons by means of application of non-classic methods of processing, when unusable for regeneration high-polymeric compounds are uses as additives. …”
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Common fixed point theorems in complex valued non-negative extended b-metric space by Naimat Ullah, Mohammed Shehu Shagari, Tahir Ahmad Khan, Aziz Ullah Khan, Muhammad Atta Ullah Khan

“…Our idea improves and extends corresponding fixed point theorems in the setting of b-metric, extended b-metric and classical metric spaces. Nontrivial examples are provided to support the hypotheses and usefulness of the main result obtained herein.…”
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Total Least Squares Method for Robust Source Localization in Sensor Networks Using TDOA Measurements by Yang Weng, Wendong Xiao, Lihua Xie

“…Simulation results show its improved performance against the classic least squares approaches.…”
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A Distinctive Encounter With Diffuse Alveolar Hemorrhage in Granulomatosis With Polyangiitis and Pneumonia by Shrijan Shrestha, Pragya Rai, Gyan Kayastha

“…ABSTRACT This article highlights the critical importance of identifying the classic triad of hemoptysis, anemia, and diffuse pulmonary infiltrates, offering clinicians a structured approach for the timely diagnosis and management of the diffuse alveolar hemorrhage in setting of GPA. …”
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A new chaotic attractor from 2D discrete mapping via border-collision period-doubling scenario by Zeraoulia Elhadj

“…The new chaotic attractor is allowed via a border-collision period-doubling scenario, which is different from the classical period-doubling bifurcation.…”
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Solution of Hamilton-Jacobi-Bellman Equation in Optimal Reinsurance Strategy under Dynamic VaR Constraint by Yuzhen Wen, Chuancun Yin

“…The surplus process of the insurer is described by the diffusion model which is an approximation of the classical Cramér-Lunderberg model. We assume the dynamic VaR constraints for proportional reinsurance. …”
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Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations by Haidong Qu, Xiaopeng Yang, Zihang She

“…Several useful formulas for the SFLPs are directly generalized from the classic Legendre polynomials. The left and right fractional differential expressions in Caputo sense of the SFLPs are derived. …”
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Microwave-Assisted Synthesis of p[n]arene Catalyzed by KOH by Li Baozhi, Yang Gengliang, Zhang Jinsong, Duan Kefang

“…The effects of different factors on this condensation reaction have been discussed. Compared with classical method, this method had some merits such as easy obtaining the raw materials, short reaction route, simple and convenient aftertreatment, being beneficial to environmental protection.…”
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Florida Pusley Biology and Control in Fruiting Vegetables, Cucurbits, and Small Fruits by Andrew MacRae

“…MacRae, describes this drought-resistant annual with hairy leaves and stems that is common in row middles, strawberry production fields, and organic mulch for highbush blueberries — classification, seedling identification, mature plant, management considerations, and classical control. Includes reference. Published by the UF Department of Horticultural Sciences, May 2010.   …”
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Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces by Jiang Zhou, Dinghuai Wang

“…Moreover, the Lipschitz spaces on nonhomogeneous metric measure spaces are also introduced, which contain the classical Lipschitz spaces. The authors establish some equivalent characterizations for the Lipschitz spaces, and some results of the boundedness of fractional operator in Lipschitz spaces are also presented.…”
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Le colonel Kadhafi en France, ou le pari méditéranéen by Pierre Beckouche

“…The recent visit of Muammar Kadhafi in Paris cannot be understood only through the classic dilemma between economic interests and political morality. …”
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Monocyte Subsets in Schistosomiasis Patients with Periportal Fibrosis by Jamille Souza Fernandes, Maria Ilma Araujo, Diego Mota Lopes, Robson da Paixão de Souza, Edgar M. Carvalho, Luciana Santos Cardoso

“…Monocytes were classified into classical (CD14++CD16−), intermediate (CD14++CD16+), and nonclassical (CD14+CD16++). …”
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The Role of Complement System in Septic Shock by Jean Charchaflieh, Jiandong Wei, Georges Labaze, Yunfang Joan Hou, Benjamin Babarsh, Helen Stutz, Haekyung Lee, Samrat Worah, Ming Zhang

“…The involvement of three upstream complement pathways in septic shock is more complicated. Both the classical and alternative pathways appear to be activated in septic shock, but the alternative pathway may be activated earlier than the classical pathway. …”
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