Derived Categories and the Analytic Approach to General Reciprocity Laws—Part II by Michael C. Berg

“…Building on the topological foundations constructed in Part I, we now go on to address the homological algebra preparatory to the projected final arithmetical phase of our attack on the analytic proof of general reciprocity for a number field. …”
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On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth by Devendra Kumar

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An Analytical Investigation of Fractional-Order Biological Model Using an Innovative Technique by Hassan Khan, Adnan Khan, Maysaa Al Qurashi, Dumitru Baleanu, Rasool Shah

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Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations by Xiangling Li, Azmat Ullah Khan Niazi, Farva Hafeez, Reny George, Azhar Hussain

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Analytical Approach to Polarization Mode Dispersion in Linearly Spun Fiber with Birefringence by Vinod K. Mishra

“…In this paper we present analytical results for PMD in spun fibers with triangular spin profile function. …”
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Trends in Inflammatory Bowel Disease Therapy: A Meta-Analytic Approach by Gregory W Whiting, Joseph Lau, Bruce Kupelnick, Thomas C Chalmers

“…OBJECTIVE: To illustrate the current meta-analytic approach to extracting clinically useful information from the glut of randomized controlled trials (RCTs) of the treatment of acute attacks of Crohn's disease.…”
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Functions Induced by Iterated Deformed Laguerre Derivative: Analytical and Operational Approach by Sladjana D. Marinković, Miomir S. Stanković, Predrag M. Rajković

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The Fréchet Derivative of an Analytic Function of a Bounded Operator with Some Applications by D. S. Gilliam, T. Hohage, X. Ji, F. Ruymgaart

“…The main result in this paper is the determination of the Fréchet derivative of an analytic function of a bounded operator, tangentially to the space of all bounded operators. …”
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RETRACTED: Analytical model of reliability of the freight rail transportation forecasting system by Zhuravleva Natalia, Chechenova Liana

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Birnbaum's models for the assessment of quality of dough «linear algebra, analytical geometry» by Lidia A. Muratova

“…Quality of the "Linear Algebra, Analytical Geometry" test by means of the modern theory of testing is investigated, namely, two models of Birnbaum are under construction: two- parametrical and three-parametrical. …”
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An Analytical Solution to the Electromagnetic Performance of an Ultra-High-Speed PM Motor by Wenjie Cheng, Zhikai Deng, Ling Xiao, Bin Zhong, Yanhua Sun

“…Aiming for this type of PMSM, two methods, namely, the Poynting theorem and the Maxwell stress tensor, were used to deduce the analytic expression of the electromagnetic driving torque. …”
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Umbilical Coiling Index as a Marker of Perinatal Outcome: An Analytical Study by T. Chitra, Y. S. Sushanth, S. Raghavan

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Exploring the Analytical Solutions to the Economical Model via Three Different Methods by M. Raheel, Khalid K. Ali, Asim Zafar, Ahmet Bekir, Omar Abu Arqub, Marwan Abukhaled

“…In this article, the analytical solutions of economically important model named as the Ivancevic option pricing model (IOPM) along new definition of derivative have been explored. …”
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Synthesis and Analytical Study of New Chelating Resin Containing Sulfadiazine Drug by Madher N. Abdulla

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Progress of Analytical Techniques and Application of Triple Oxygen Isotopes in Dissolved Oxygen by Hongmin ZHENG, Xijie YIN, Haili YANG, Zijun WU

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Health Assessment of Foundation Pit Based on the Fuzzy Analytical Hierarchy Process by Jinbo Sun, Ke Sun, Liang Gong, Sheng Gu, Hao Hao

“…This paper proposes a foundation pit health assessment model based on the fuzzy analytical hierarchy process (AHP) method. First, factors affecting the health of foundation pits are classified by the AHP, a hierarchical factor system for foundation pit health assessment is established, and the index scale method is used to assign weights to assessment factors at different hierarchical levels. …”
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Analytical and Numerical Methods for Circumbinary Disk Dynamics. II. Inclined Disks by Michal Pirog, Siddharth Mahesh, Sean T. McWilliams

“…We investigate their impact on the density and torque distribution. In our analytical approach, we consider the stability of epicycles induced by the perturbative effect of the asymmetric inclined binary gravitational potential on Keplerian circular orbits. …”
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Fluorescence‐Based Detector Design Principles for Low Vapor Pressure Analytes by Alex S. Loch, Paul L. Burn, Paul E. Shaw

“…The swab heating unit facilitates volatilization of the analytes, with the shape of the sensing chamber and its fabrication material optimized to maximize the interaction of the analyte with the sensing element, increasing sensitivity. …”
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Sufficiency Criteria for a Class of -Valent Analytic Functions of Complex Order by Muhammad Arif

“…In the present paper, we consider a subclass of -valent analytic functions and obtain certain simple sufficiency criteria by using three different methods for the functions belonging to this class. …”
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Stability of Analytic and Numerical Solutions for Differential Equations with Piecewise Continuous Arguments by Minghui Song, M. Z. Liu

“…In this paper, the asymptotic stability of the analytic and numerical solutions for differential equations with piecewise continuous arguments is investigated by using Lyapunov methods. …”
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