A Class of Meromorphic Multivalent Functions with Negative Coefficients Defined by a Ruscheweyh-Type Operator by Isabel Marrero

“…We introduce and systematically study a new class <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>k</mi><mrow><mi>λ</mi><mo>,</mo><mi>p</mi></mrow></msup><mrow><mo>(</mo><mi>α</mi><mo>,</mo><mi>β</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> of meromorphic <i>p</i>-valent functions defined by means of the Ruscheweyh-type operator <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>D</mi><mo>*</mo><mrow><mi>λ</mi><mo>,</mo><mi>p</mi></mrow></msubsup></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo>∈</mo><mi mathvariant="double-struck">N</mi></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>></mo><mo>−</mo><mi>p</mi></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>0</mn><mo>≤</mo><mi>α</mi><mo><</mo><mn>1</mn></mrow></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>β</mi><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula>. …”
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Comprehensive Weighted Newton Inequalities for Broad Function Classes via Generalized Proportional Fractional Operators by Mohamed A. Barakat

“…In this work, weighted Newton-type inequalities <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="script">WN</mi><mo>-</mo><mi mathvariant="script">TI</mi><mo>)</mo></mrow></semantics></math></inline-formula> for multiple classes of functions by employing generalized proportional fractional <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="double-struck">GPF</mi><mo>)</mo></mrow></semantics></math></inline-formula> integrals are established. …”
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Properties for Close-to-Convex and Quasi-Convex Functions Using <i>q</i>-Linear Operator by Ekram E. Ali, Rabha M. El-Ashwah, Abeer M. Albalahi, Wael W. Mohammed

“…In this work, we describe the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">q</mi></semantics></math></inline-formula>-analogue of a multiplier–Ruscheweyh operator of a specific family of linear operators <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi mathvariant="fraktur">I</mi><mrow><mi mathvariant="fraktur">q</mi><mo>,</mo><mi>ρ</mi></mrow><mi>s</mi></msubsup><mrow><mo>(</mo><mi>ν</mi><mo>,</mo><mi>τ</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, and we obtain findings related to geometric function theory (GFT) by utilizing approaches established through subordination and knowledge of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="fraktur">q</mi></semantics></math></inline-formula>-calculus operators. …”
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Bi-Starlike Function of Complex Order Involving Mathieu-Type Series in the Shell-Shaped Region by Ibrahim S. Elshazly, Gangadharan Murugusundaramoorthy, Borhen Halouani, Alaa H. El-Qadeem, Kaliappan Vijaya

“…For functions of the form <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ϕ</mi><mrow><mo>(</mo><mi>ξ</mi><mo>)</mo></mrow><mo>=</mo><mi>ξ</mi><mo>+</mo><msubsup><mo>∑</mo><mrow><mi>n</mi><mo>=</mo><mn>2</mn></mrow><mo>∞</mo></msubsup><msub><mi>c</mi><mi>n</mi></msub><msup><mi>ξ</mi><mi>n</mi></msup></mrow></semantics></math></inline-formula>, we identified two new subclasses of bi-starlike functions and bi-convex functions by using Mathieu-type series defined in the disc <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Δ</mo><mo>=</mo><mo>{</mo><mi>ξ</mi><mo>∈</mo><mi mathvariant="double-struck">C</mi><mo>:</mo><mo>|</mo><mi>ξ</mi><mo>|</mo><mo><</mo><mn>1</mn><mo>}</mo></mrow></semantics></math></inline-formula>. …”
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Complex-Valued Multivariate Neural Network (MNN) Approximation by Parameterized Half-Hyperbolic Tangent Function by Seda Karateke

“…This paper deals with a family of normalized multivariate neural network (MNN) operators of complex-valued continuous functions for a multivariate context on a box of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mover><mi>N</mi><mo>¯</mo></mover></msup></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover><mi>N</mi><mo>¯</mo></mover><mo>∈</mo><mi mathvariant="double-struck">N</mi></mrow></semantics></math></inline-formula>. …”
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Tuning Transmission Properties of Two-Dimensional Photonic Crystal Waveguides Using Functional Dielectric Cavities by Siqi Zhang, Feng Yang, Wenying Zhang, Wei Zhao, Luhe Yang, Hong Li

“…The waveguide consists of circular <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mi>N</mi><mi>b</mi><msub><mi>O</mi><mn>3</mn></msub></mrow></semantics></math></inline-formula> and functional dielectric cylinders embedded in air. …”
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Definition of Triangular Norms and Triangular Conorms on Subfamilies of Type-2 Fuzzy Sets by Pablo Hernández-Varela, Francisco Javier Talavera, Susana Cubillo, Carmen Torres-Blanc, Jorge Elorza

“…In this paper, we obtain new t-norms and t-conorms on some important subfamilies of the set of functions from <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow></semantics></math></inline-formula> to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow></semantics></math></inline-formula>. …”
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The Exponential Versus the Complex Power <i>e^z</i> Function Revisited by Luis M. Sánchez-Ruiz, Matilde Legua, Santiago Moll-López, José A. Moraño-Fernández, María-Dolores Roselló

“…The complex exponential function exp is a well-known entire function. In this paper, we recall its relation with the definition of the complex power of a complex number, which emanates that the complex power <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>e</mi><mi>z</mi></msup></semantics></math></inline-formula> may coincide with it at some complex values. …”
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Fuzzy Computation Tree Temporal Logic with Quality Constraints and Its Model Checking by Xianfeng Yu, Yongming Li, Shengling Geng, Huirong Li

“…The encapsulation of particular quality functions and predicates within temporal logic formulas markedly enhances the representation of detailed temporal characteristics within a system. …”
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The Narrative Structure of the Plot “Sleeping Beauty” in the French Folk Tale by Olga N. Patrakova

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Algebras of Calderón–Zygmund Operators Associated with Para-Accretive Functions on Spaces of Normal Homogeneous Type by Rong Liang, Taotao Zheng, Xiangxing Tao

“…In this paper, by using several almost orthogonal estimates and a continuous Calderón reproducing formula associated with para-accretive functions, we obtain the algebras of generalized-product Calderón–Zygmund operators under the condition <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>T</mi><mn>1</mn></msub><mrow><mo>(</mo><msub><mi>b</mi><mn>1</mn></msub><mo>)</mo></mrow><mo>=</mo><msubsup><mi>T</mi><mrow><mn>1</mn></mrow><mo>*</mo></msubsup><mrow><mo>(</mo><msub><mi>b</mi><mn>1</mn></msub><mo>)</mo></mrow><mo>=</mo><msub><mi>T</mi><mn>2</mn></msub><mrow><mo>(</mo><msub><mi>b</mi><mn>2</mn></msub><mo>)</mo></mrow><mo>=</mo><msubsup><mi>T</mi><mn>2</mn><mo>*</mo></msubsup><mrow><mo>(</mo><msub><mi>b</mi><mn>2</mn></msub><mo>)</mo></mrow><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula>.…”
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An Improvement of Least Squares Theory: Theory of Least p-Variances Approximation and p-Uncorrelated Functions by Mohammad Masjed-Jamei

“…Afterwards, we apply the concept of p-uncorrelatedness for continuous functions, particularly for polynomial sequences, and we find some new sequences, such as a generic two-parameter hypergeometric polynomial of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mmultiscripts><mi>F</mi><mn>3</mn><none></none><mprescripts></mprescripts><mn>4</mn><none></none></mmultiscripts></mrow></semantics></math></inline-formula> type that satisfies a p-uncorrelatedness property. …”
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Beginning and Completion of Events in the Russian and English Language Picture of the World and Features of their Perception in the National Language Consciousness by T. N. Osintseva

Subjects: “…functional-semantic field…”
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A Computational Framework for Optimal Adaptive Function Allocation in a Human-Autonomy Teaming Scenario by Sooyung Byeon, Joonwon Choi, Inseok Hwang

“…The proposed optimal adaptive function allocation method is composed of three main elements: 1) analyze the teamwork to identify a set of all possible function allocations within a team construction, 2) numerically simulate the teamwork in temporal semantics to explore the interaction of the team with complex environments using the identified function allocations in a trial-and-error manner, and 3) optimize the adaptive function allocation with respect to a given situation such as physical conditions, available information resources, and human mental workload. …”
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Cross-cultural adaptation and validation of the japanese translation of the Fugl-Meyer Assessment for upper and lower extremity sensorimotor function after stroke by Yukitaka Tomoda, Toru Nagao, Tomoko Uchida, Hiroki Sato, Masatoshi Oonishi, Takayuki Okamoto, Maya Tajitsu, Margit Alt Murphy

“…Objective: To develop an official translation of the original Fugl-Meyer Assessment of upper and lower extremity sensorimotor function into Japanese by following a standardized cross-cultural adaptation process to ensure conceptual, linguistic, and semantic validity. …”
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Homonymy in English Language and Means of Its Representation (on Example of Functional Words <i>what</i> and <i>very</i>) by T. S. Ignatyeva, N. A. Antonova

“…The authors believe that the definition of a closed series to which a functional word belongs is associated with a number of difficulties, since, firstly, the category of relativity (relations) is not fully understood and its boundaries are not defined, since subjective judgments can be made on the semantic basis with regard to the differentiation of functional or service words, and secondly, because some words are not in one, but in several closed series. …”
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Towards a Coq-verified Chain of Esterel Semantics by Rieg, Lionel, Berry, Gérard

“…In particular, in addition to the standard logical (LBS) semantics, constructive semantics (CBS) and constructive state semantics (CSS), we introduce a novel microstep semantics that gets rid of the Must/Can potential function pair of the constructive semantics and can be viewed as an abstract version of Esterel’s circuit semantics used by compilers to generate software code and hardware designs. …”
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Altered integrated and segregated states in cocaine use disorder by Yi Zheng, Yi Zheng, Yaqian Yang, Yaqian Yang, Yi Zhen, Yi Zhen, Xin Wang, Xin Wang, Xin Wang, Xin Wang, Xin Wang, Longzhao Liu, Longzhao Liu, Longzhao Liu, Longzhao Liu, Longzhao Liu, Hongwei Zheng, Shaoting Tang, Shaoting Tang, Shaoting Tang, Shaoting Tang, Shaoting Tang, Shaoting Tang, Shaoting Tang

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Functional atlases for analysis of motor and neuropsychological outcomes after medial globus pallidus and subthalamic stimulation. by Claire Haegelen, Clément Baumgarten, Jean-François Houvenaghel, Yulong Zhao, Julie Péron, Sophie Drapier, Pierre Jannin, Xavier Morandi

“…However, the sole anatomy cannot predict the functional outcome of this surgery. Deep brain stimulation is often a compromise between several functional outcomes: motor, fluency and neuropsychological outcomes in particular. …”
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ESSENTIAL-SUBSTANTIAL, STRUCTURAL AND FUNCTIONAL BASES AND THE DEVELOPMENT PARAMETERS AND FORMATION OF INFORMATION CULTURE OF A PERSON by Sergey Bobryshov, Natalia Gorbatovsckaya

“…The article deals with the modern understanding of the information culture of the person in the aspects of its manifestation and formation. The leading functions of information culture as a social, psychological and pedagogical phenomenon are revealed. …”
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