Application of visual didactic regulators in distance learning by V. E. Steinberg, R. M. Asadullin, D. R. Fatkhulova, I. R. Tagariyeva

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Exploring Dominating Functions and Their Complexity in Subclasses of Weighted Chordal Graphs and Bipartite Graphs by Chuan-Min Lee

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Sufficient and Necessary Conditions for Generalized Distribution Series on Comprehensive Subclass of Analytic Functions by Tariq Al-Hawary, Basem Frasin, Ibtisam Aldawish

“…In this paper, we demonstrate a relationship between a generalized distribution series and a comprehensive subclass of analytic functions. The primary aim of this study is to determine a necessary and sufficient condition for the generalized distribution series <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi>E</mi><mrow><mi>ϕ</mi></mrow><mo>∗</mo></msubsup><mrow><mo>(</mo><mi>ς</mi><mo>,</mo><mi>z</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> to belong to the inclusive subclass <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">Π</mi><mi>η</mi></msub><mrow><mo>(</mo><msub><mi>Q</mi><mn>3</mn></msub><mo>,</mo><msub><mi>Q</mi><mn>2</mn></msub><mo>,</mo><msub><mi>Q</mi><mn>1</mn></msub><mo>,</mo><msub><mi>Q</mi><mn>0</mn></msub><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. …”
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Graph-Theoretic Characterization of Separation Conditions in Self-Affine Iterated Function Systems by Ming-Qi Bai, Jun Luo, Yi Wu

“…For a self-affine iterated function system (IFS) <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mrow><mo>{</mo><msub><mi>f</mi><mi>j</mi></msub><mo>}</mo></mrow><mrow><mi>j</mi><mo>=</mo><mn>1</mn></mrow><mi>N</mi></msubsup></semantics></math></inline-formula> on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mi>d</mi></msup></semantics></math></inline-formula> defined by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>f</mi><mi>j</mi></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>=</mo><msup><mi>A</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup><mrow><mo>(</mo><mi>x</mi><mo>+</mo><msub><mi>d</mi><mi>j</mi></msub><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, where <i>A</i> is an expansive matrix and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>d</mi><mi>j</mi></msub><mo>∈</mo><msup><mi mathvariant="double-struck">R</mi><mi>d</mi></msup></mrow></semantics></math></inline-formula>, we reveal a novel characterization of the open set and weak separation conditions through the bounded degree of the augmented tree induced by the IFS. …”
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On Qi’s Normalized Remainder of Maclaurin Power Series Expansion of Logarithm of Secant Function by Hong-Chao Zhang, Bai-Ni Guo, Wei-Shih Du

“…In the study, the authors introduce Qi’s normalized remainder of the Maclaurin power series expansion of the function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ln</mi><mi>sec</mi><mi>x</mi><mo>=</mo><mo>−</mo><mi>ln</mi><mi>cos</mi><mi>x</mi></mrow></semantics></math></inline-formula>; in view of a monotonicity rule for the ratio of two Maclaurin power series and by virtue of the logarithmic convexity of the function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><msup><mn>2</mn><mi>x</mi></msup><mo>−</mo><mn>1</mn><mo>)</mo></mrow><mi>ζ</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mn>1</mn><mo>,</mo><mo>∞</mo><mo>)</mo></mrow></semantics></math></inline-formula>, they prove the logarithmic convexity of Qi’s normalized remainder; with the aid of a monotonicity rule for the ratio of two Maclaurin power series, the authors present the monotonic property of the ratio between two Qi’s normalized remainders.…”
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Some Evaluations About Coefficients Boundaries for Specific Classes of Bi-Univalent Functions by Suliman M. Sowileh, Gangadharan Murugusundaramoorthy, Borhen Halouani, Ibrahim S. Elshazly, Mohamed A. Mamon, Alaa H. El-Qadeem

“…New subclasses of bi-univalent functions with bounded boundary rotation are presented in this study. …”
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The Value Semantics in “Intelligent Travel” Discourse by O. V. Ramantova

“…The present paper aims at describing the results of researching the axiological aspect of the category “intelligent travel” functioning in the English language travel discourse. …”
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Operational Semantics of Annotated Reflex Programs by Igor S. Anureev

“…Types of annotations that specify restrictions on the values of the variables at program launch, restrictions on the environment (in particular, on the control object), invariants of the control cycle, pre- and postconditions of external functions used in Reflex programs are defined. Annotated Reflex also uses standard annotations assume, assert and havoc. …”
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On the Convergence of Normal and Curvature Calculations with the Height Function Method for Two-Phase Flow by Antonio Cervone, Sandro Manservisi, Jieyun Pan, Ruben Scardovelli, Stéphane Zaleski

“…The volume-of-fluid (VOF) method is widely used for multiphase flow simulations, where the VOF function implicitly represents the interface through the volume fraction field. …”
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Improving Physically Unclonable Functions’ Performance Using Second-Order Compensated Measurement by Jorge Fernández-Aragón, Guillermo Diez-Señorans, Miguel Garcia-Bosque, Raúl Aparicio-Téllez, Gabriel López-Pinar, Santiago Celma

“…In this paper, we study the performance of second-order compensated measurement to generate a multi-bit response in physically unclonable functions (PUFs). The proposed technique is based on a novel second-order compensated measurement generating multiple bits instead of a single bit provided by the conventional compensated measurement. …”
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From Inequality to Extremes and Back: A Lorenz Representation of the Pickands Dependence Function by Pasquale Cirillo, Andrea Fontanari

“…We establish a correspondence between Lorenz curves and Pickands dependence functions, thereby reframing the construction of any bivariate extreme-value copula as an inequality problem. …”
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Finite Element Method for Solving the Screened Poisson Equation with a Delta Function by Liang Tang, Yuhao Tang

“…To address this, we employ integrated Legendre basis functions, which yield sparse and structured system matrices characterized by a Banded-Block-Banded-Arrowhead (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>B</mi><mn>3</mn></msup></semantics></math></inline-formula>-Arrowhead) form. …”
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Banach Limit and Fixed Point Approach in the Ulam Stability of the Quadratic Functional Equation by El-sayed El-hady, Janusz Brzdęk

“…We show how to obtain new results on the Ulam stability of the quadratic equation <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>q</mi><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo><mo>+</mo><mi>q</mi><mo>(</mo><mi>a</mi><mo>−</mo><mi>b</mi><mo>)</mo><mo>=</mo><mn>2</mn><mi>q</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>+</mo><mn>2</mn><mi>q</mi><mo>(</mo><mi>b</mi><mo>)</mo></mrow></semantics></math></inline-formula> using the Banach limit and the fixed point theorem obtained quite recently for some function spaces. …”
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Realizing the Calculation of a Fully Normalized Associated Legendre Function Based on an FPGA by Yuxiang Fang, Qingbin Wang, Yichao Yang

“…A large number of fully normalized associated Legendre function (fnALF) calculations are required to compute Earth’s gravity field elements using ultra high-order gravity field coefficient models. …”
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Hispanismos en el discurso romántico de Harlequin y Mills & Boon. Ámbitos temáticos y funciones socio-pragmáticas by María-Isabel González Cruz

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Behavioral variant frontotemporal dementia as a model for understanding the cognitive and cerebral determinants of verbal creativity by Victor Altmayer, Marcela Ovando-Tellez, Théophile Bieth, Bénédicte Batrancourt, Armelle Rametti-Lacroux, Lucy Bernardaud, Sarah Moreno-Rodriguez, Lucie Vigreux, Vincent Ledu, Béatrice Garcin, Raffaella Migliaccio, Isabelle Le Ber, Alizée Lopez-Persem, Richard Levy, Emmanuelle Volle, ECOCAPTURE study group

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Functional potential of English cognitive verbs in narrative (on the material of the works by M. Atwood) by Iryna Dilai

“…The research is theoretically framed by the works on lexical and functional semantics of (cognitive) verbs (K. Aijmer, D. …”
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Differences in cognitive deficits and brain functional impairments between patients with first-episode and recurrent depression by Lianzi Guan, Yifei Li, Hui Kong, Jie Fang, Jiakuai Yu, Ting Wang, Jiajia Zhu, Daomin Zhu

“…All the patients underwent examinations of resting-state functional magnetic resonance imaging (fMRI), event-related potential (ERP) measurements, and a series of standardised neuropsychological tests, including event-based (EBPM) and time-based (TBPM) prospective memory tasks, the Semantic Fluency Test (SFT), and the Continuous Performance Task–Identical Pairs (CPT-IP). …”
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Semantic ECG hash similarity graph by Yixian Fang, Shilin Zhang, Yuwei Ren

“…Subsequently, a lightweight linear hash function is utilized to produce a hash representation for the unseen signal. …”
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