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  1. 121

    Self-Nominations with Function of Anthroponym in Runet by V. V. Kaziaba

    Published 2022-10-01
    “…Self-nominations with the function of an anthroponym (nicknames, yuzerniki, usernames) belonging to users of the Russian-speaking segment of Internet communication are analyzed. …”
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  2. 122
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  4. 124

    Summatory Multiplicative Arithmetic Functions: Scaling and Renormalization by Leonid G. Fel

    Published 2025-01-01
    “…We consider a wide class of summatory functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>F</mi><mfenced separators="" open="{" close="}"><mi>f</mi><mo>;</mo><mi>N</mi><mo>,</mo><msup><mi>p</mi><mi>m</mi></msup></mfenced><mo>=</mo><msub><mo>∑</mo><mrow><mi>k</mi><mo>≤</mo><mi>N</mi></mrow></msub><mi>f</mi><mfenced separators="" open="(" close=")"><msup><mi>p</mi><mi>m</mi></msup><mi>k</mi></mfenced></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>m</mi><mo>∈</mo><msub><mi mathvariant="double-struck">Z</mi><mo>+</mo></msub><mo>∪</mo><mrow><mo>{</mo><mn>0</mn><mo>}</mo></mrow></mrow></semantics></math></inline-formula> associated with the multiplicative arithmetic functions <i>f</i> of a scaled variable <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>k</mi><mo>∈</mo><msub><mi mathvariant="double-struck">Z</mi><mo>+</mo></msub></mrow></semantics></math></inline-formula>, where <i>p</i> is a prime number. …”
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  5. 125

    Partitioning Functional of a Class of Convex Bodies by Xinling Zhang

    Published 2025-01-01
    “…In this paper, we prove a series of inequalities about partitioning functionals of convex cones. Several estimations of partitioning functionals of the convex hull of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>A</mi><mo>+</mo><mi>u</mi><mo>)</mo><mo>∪</mo><mo>(</mo><mi>A</mi><mo>−</mo><mi>u</mi><mo>)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>A</mi><mo>+</mo><mi>u</mi><mo>)</mo><mo>∪</mo><mo>(</mo><mo>−</mo><mi>A</mi><mo>−</mo><mi>u</mi><mo>)</mo></mrow></semantics></math></inline-formula> are also presented, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><mo>⊆</mo><msup><mi mathvariant="double-struck">R</mi><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup><mo>×</mo><mrow><mo>{</mo><mn>0</mn><mo>}</mo></mrow></mrow></semantics></math></inline-formula> is a convex body with the origin <i>o</i> in its interior, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>u</mi><mo>∈</mo><msup><mi mathvariant="double-struck">R</mi><mi>n</mi></msup><mrow><mo>∖</mo></mrow><mrow><mo>(</mo><msup><mi mathvariant="double-struck">R</mi><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup><mo>×</mo><mrow><mo>{</mo><mn>0</mn><mo>}</mo></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula>. …”
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  6. 126

    Two Monotonicity Results for Beta Distribution Functions by Kurt Hornik

    Published 2024-10-01
    “…Write <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>pbeta</mi><mo>(</mo><mo>·</mo><mo>,</mo><mi>α</mi><mo>,</mo><mi>β</mi><mo>)</mo></mrow></semantics></math></inline-formula> for the distribution function of the Beta distribution with parameters <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>β</mi></semantics></math></inline-formula>. …”
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  7. 127

    Pseudorandom Function from Learning Burnside Problem by Dhiraj K. Pandey, Antonio R. Nicolosi

    Published 2025-04-01
    “…We present three progressively refined pseudorandom function (PRF) constructions based on the learning Burnside homomorphisms with noise (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>B</mi><mi>n</mi></msub></semantics></math></inline-formula>-LHN) assumption. …”
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  8. 128

    Similarity of Overlap Functions and Robustness of Fuzzy Reasoning by Songsong Dai, Qiuchen Ruan

    Published 2025-01-01
    “…In this paper, we introduce the concepts of the similarity and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>-equality of overlap functions to measure the degree of similarity between two overlap functions. …”
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  9. 129

    On the Lanczos Method for Computing Some Matrix Functions by Ying Gu, Hari Mohan Srivastava, Xiaolan Liu

    Published 2024-11-01
    “…Previous work has mainly focused on how to use the Krylov-type method to efficiently calculate matrix functions <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi>A</mi><mo>)</mo></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold-italic">β</mi></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="bold-italic">β</mi><mi>T</mi></msup><mi>f</mi><mrow><mo>(</mo><mi>A</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="bold-italic">β</mi></semantics></math></inline-formula> when <i>A</i> is symmetric. …”
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  10. 130

    The Geometric Characterizations of the Ramanujan-Type Entire Function by Khaled Mehrez, Abdulaziz Alenazi

    Published 2025-07-01
    “…In the present paper, we present certain geometric properties, such as starlikeness, convexity of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>η</mi><mspace width="0.277778em"></mspace><mo>(</mo><mn>0</mn><mo>≤</mo><mi>η</mi><mo><</mo><mn>1</mn><mo>)</mo></mrow></semantics></math></inline-formula>, and close-to-convexity, in an open unit disk of the normalized form of Ramanujan-type entire functions. …”
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  11. 131

    Efficient Application of the Voigt Functions in the Fourier Transform by Sanjar M. Abrarov, Rehan Siddiqui, Rajinder K. Jagpal, Brendan M. Quine

    Published 2025-06-01
    “…In this work, we develop a method for rational approximation of the Fourier transform (FT) based on the real and imaginary parts of the complex error function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>w</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow><mo>=</mo><msup><mi>e</mi><mrow><mo>−</mo><msup><mi>z</mi><mn>2</mn></msup></mrow></msup><mrow><mo>(</mo><mn>1</mn><mo>−</mo><mi>erf</mi><mrow><mo>(</mo><mo>−</mo><mi>i</mi><mi>z</mi><mo>)</mo></mrow><mo>)</mo></mrow><mo>=</mo><mi>K</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow><mo>+</mo><mi>i</mi><mi>L</mi><mrow><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>z</mi><mo>=</mo><mi>x</mi><mo>+</mo><mi>i</mi><mi>y</mi></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>K</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>L</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo></mrow></semantics></math></inline-formula> are known as the Voigt and imaginary Voigt functions, respectively. …”
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  12. 132

    The Computability of the Channel Reliability Function and Related Bounds by Holger Boche, Christian Deppe

    Published 2025-06-01
    “…Additionally, we examine the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>R</mi><mo>∞</mo></msub></semantics></math></inline-formula> function and zero-error feedback capacity, as they are vital in the context of the reliability function. …”
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  13. 133
  14. 134

    Starlikeness and Convexity of Generalized Bessel-Maitland Function by Muhammad Umar Nawaz, Daniel Breaz, Mohsan Raza, Luminiţa-Ioana Cotîrlă

    Published 2024-10-01
    “…The main objective of this research is to examine a specific sufficiency criteria for the starlikeness and convexity of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>δ</mi></semantics></math></inline-formula>, k-uniform starlikeness, k-uniform convexity, lemniscate starlikeness and convexity, exponential starlikeness and convexity, uniform convexity of the Generalized Bessel-Maitland function. …”
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  15. 135

    Functioning of Composite Preterites in the Ancient Literary Heritage by O.F. Zholobov

    Published 2016-10-01
    “…To achieve this purpose, the following tasks have been fulfilled: a) historiographic analysis of the term “perfect” in palaeoslavistics and Indo-European linguistics has been carried out; b) critical review of the researchers’ opinions on the Old Slavonic perfect functional-semantic nature has been given; c) the perfect functioning in some Old Russian sources has been considered; d) a new hypothesis of the Slavonic perfect formation and the nature of its original semantics has been given. …”
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  16. 136

    An Analytical Approximation of the Stress Function for Conical Flywheels by Miguel Garcia, Onofre Orozco-López, Jesús Uribe-Chavira, Andrés Blanco-Ortega

    Published 2025-04-01
    “…Starting from a stress function, the model was simplified under the assumption of a small-thickness gradient, allowing the derivation of a closed-form solution. …”
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  17. 137

    Function of Neologisms in Electronic Mass Media Headlines by V. A. Toropkina

    Published 2019-05-01
    “…Attention is paid to structural-semantic and discursive factors that affect the implementation of functions of a title: the determining factors are the structure of a neologism (presence of evaluation-marked elements, semantics of producing words), the method of its creation (usual / non-usual), as well as usage context. …”
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  18. 138

    Actualization of color lexicon functions in economic discourse by T. V. Andryukhina

    Published 2025-07-01
    “…Modern economic discourse is characterized by the wide use, expansion of color palette, complexity and creativity of the semantics of color terms. The aim of the study is to identify, describe and analyze the peculiarities of the functions of color lexicon in economic discourse and thus verify the hypothesis about the influence of pragmatic and functional parameters of discourse on the functioning of color terms as a lexical group. …”
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    Functions of Intertextual Inclusions in Contemporary Publicist Discourse by M. N. Nikolaeva, O. V. Trunova

    Published 2023-11-01
    “…The relevance and scientific novelty of the work stem from the need to study the functions of intertextual inclusions in non-fiction discourse. …”
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