On forbidden subgraphs of main supergraphs of groups by Xiaoyan Xu, Xiaohua Xu, Jin Chen, Shixun Lin

“…In this study, we explore the main supergraph $ \mathcal{S}(G) $ of a finite group $ G $, defined as an undirected, simple graph with a vertex set $ G $ in which two distinct vertices, $ a $ and $ b $, are adjacent in $ \mathcal{S}(G) $ if the order of one is a divisor of the order of the other. This is denoted as either $ o(a)\mid o(b) $ or $ o(b)\mid o(a) $, where $ o(\cdot) $ is the order of an element. …”
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Accurate Sum and Dot Product with New Instruction for High-Precision Computing on ARMv8 Processor by Kaisen Xie, Qingfeng Lu, Hao Jiang, Hongxia Wang

“…It has been proven that our accurate summation and dot algorithms’ error bounds are <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>γ</mi><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msub><msub><mi>γ</mi><mi>n</mi></msub><mi>cond</mi><mo>+</mo><mi>u</mi></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>γ</mi><mi>n</mi></msub><msub><mi>γ</mi><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow></msub><mi>cond</mi><mo>+</mo><mi>u</mi></mrow></semantics></math></inline-formula>, where ‘cond’ denotes the condition number, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>γ</mi><mi>n</mi></msub><mo>=</mo><mi>n</mi><mo>·</mo><mi>u</mi><mo>/</mo><mrow><mo>(</mo><mn>1</mn><mo>−</mo><mi>n</mi><mo>·</mo><mi>u</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, and <i>u</i> denotes the relative rounding error unit. …”
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Cardiogenic Shock: An Unusual Initial Presentation of Churg-Strauss Syndrome by M. Apirami, J. A. Pratheepan, T. Kumanan, M. Guruparan, G. Selvaratnam

“…Though pulmonary involvement is the predominant feature of CSS, extra pulmonary involvement, in particular, cardiac involvement, denotes an adverse outcome. Here we report a 50-year-old female who presented with cardiogenic shock due to an acute coronary event as the initial manifestation of CSS. …”
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Chemical and Physical Properties of Meadowfoam Seed Oil and Extra Virgin Olive Oil: Focus on Vibrational Spectroscopy by Aleksandra Zielińska, Krzysztof Wójcicki, Dorota Klensporf-Pawlik, João Dias-Ferreira, Massimo Lucarini, Alessandra Durazzo, Giuseppe Lucariello, Raffaele Capasso, Antonello Santini, Eliana B. Souto, Izabela Nowak

“…Firstly, the fatty acids composition, denoted as Cox value, was determined for the oils that are considered as the most stable. …”
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Voltage Control of Exchange Bias via Magneto-Ionic Approaches by Yifu Luo, Shengsheng Liu, Yuxin Li, Zhen Wang, Jie Zhang, Limei Zheng

“…The exchange bias (EB) effect denotes a magnetic bias phenomenon originating from the interfacial exchange coupling at the ferromagnetic/antiferromagnetic materials, which plays an indispensable role in the functionality of various devices, such as magnetic random-access memory (MRAM) and sensors. …”
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Whole Exome Sequencing and Molecular Modeling of a Missense Variant in TNFAIP3 That Segregates with Disease in a Family with Chronic Urticaria and Angioedema by Antoneicka L. Harris, Patrick R. Blackburn, John E. Richter, Jennifer M. Gass, Thomas R. Caulfield, Ahmed N. Mohammad, Paldeep S. Atwal

“…Whole exome sequencing of the proband and several family members revealed a heterozygous variant of uncertain significance in exon 2 of TNFAIP3, denoted as c.65G>A (p.R22Q), in all affected members. …”
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LC/MS/MS Analysis of N-Terminal Protein Adducts with Improved Sensitivity: A Comparison of Selected Edman Isothiocyanate Reagents by Per Rydberg, Hans von Stedingk, Jörgen Magnér, Jonas Björklund

“…This study provides a basis for a new and straightforward method for LC/MS/MS-based screening of N-terminal protein adducts. This procedure is denoted the “FIRE procedure” as fluorescein isothiocyanate (FITC) gave superior sensitivity by LC/MS/MS when measuring adducts (R) of electrophilic compounds with a modified Edman procedure. …”
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Minimum Variable Connectivity Index of Trees of a Fixed Order by Shamaila Yousaf, Akhlaq Ahmad Bhatti, Akbar Ali

“…The variable connectivity index for graph G is defined as ∑vw∈EGdv+γdw+γ−1/2, where γ is a nonnegative real number, EG is the edge set of G, and dt denotes the degree of an arbitrary vertex t in G. …”
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Optimized convolutional neural network using African vulture optimization algorithm for the detection of exons by K. Jayasree, Malaya Kumar Hota

“…The results reveal that the proposed model is reliable and denotes an inventive method due to the ability to automatically create the CNN model for the classification of exons and introns.…”
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The Existence of Positive Solutions for Boundary Value Problem of the Fractional Sturm-Liouville Functional Differential Equation by Yanan Li, Shurong Sun, Zhenlai Han, Hongling Lu

“…We study boundary value problems for the following nonlinear fractional Sturm-Liouville functional differential equations involving the Caputo fractional derivative:   CDβ(p(t)CDαu(t)) + f(t,u(t-τ),u(t+θ))=0, t∈(0,1),  CDαu(0)= CDαu(1)=( CDαu(0))=0, au(t)-bu′(t)=η(t), t∈[-τ,0], cu(t)+du′(t)=ξ(t), t∈[1,1+θ], where   CDα,  CDβ denote the Caputo fractional derivatives, f is a nonnegative continuous functional defined on C([-τ,1+θ],ℝ), 1<α≤2, 2<β≤3, 0<τ, θ<1/4 are suitably small, a,b,c,d>0, and η∈C([-τ,0],[0,∞)), ξ∈C([1,1+θ],[0,∞)). …”
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Self-Efficacy as a Positive Youth Development Construct: A Conceptual Review by Sandra K. M. Tsang, Eadaoin K. P. Hui, Bella C. M. Law

“…Self-efficacy denotes people's beliefs about their ability to perform in different situations. …”
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Photodegradation of Methylene Blue Using Carbon-Doped ZnSn(OH)6 Composite Coated on Membrane by Ernso Fenelon, Achmad Chusnun Ni’am, Truc-Mai Thi Nguyen, Ying-Fu Lin, Ya-Fen Wang, Sheng-Jie You

“…The carbon-doped composite denoted the largest surface area and increased the catalyst’s reactive sites on the membrane. …”
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The Implication of Channel Discrepancy in a Dual-Channel Supply Chain by Zhenyang Pi, Weiguo Fang

“…We develop an analytical model to derive the optimal pricing strategies by using game theory and the backward induction method, and we examine related properties under three market power structures while considering channel discrepancy, including the Nash equilibrium, the Manufacturers leader Stackelberg, and the M1 leader Stackelberg models (denoted as the N, MS, and M1S models, respectively). …”
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Influence of the Constitutive Flow Law in FEM Simulation of the Radial Forging Process by Olivier Pantalé, Babacar Gueye

“…For the presented study we use an AISI 4140 steel, and we denote a fairly good agreement between the results obtained using both laws.…”
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A representation theorem for operators on a space of interval functions by J. A. Chatfield

“…In particular we show that TH=(I)∫abfHdα+∑i=1∞[H(xi−1,xi−1+)−H(xi−1+,xi−1+)]β(xi−1)+∑i=1∞[H(xi−,xi)−H(xi−,xi−)]Θ(xi−1,xi)where each of α, β, and Θ depend only on T, α is of bounded variation, β and Θ are 0 except at a countable number of points, fH is a function from R to N depending on H and {xi}i=1∞ denotes the points P in [a,b]. for which [H(p,p+)−H(p+,p+)]≠0 or [H(p−,p)−H(p−,p−)]≠0. …”
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Analogues of Conditional Wiener Integrals with Drift and Initial Distribution on a Function Space by Dong Hyun Cho

“…Let C[0,T] denote a generalized Wiener space, the space of real-valued continuous functions on the interval [0,T], and define a stochastic process Z:C[0,T]×[0,T]→R by Z(x,t)=∫0t‍h(u)dx(u)+x(0)+a(t), for x∈C[0,T] and t∈[0,T], where h∈L2[0,T] with h≠0 a.e. and a is a continuous function on [0,T]. …”
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Radio and Radial Radio Numbers of Certain Sunflower Extended Graphs by Mohammed K. A. Kaabar, Kins Yenoke

“…The minimum number is taken over all such radio k−chromatic numbers of φ which is called the radio k−chromatic number, denoted by rckG. For k=d and k=ρ, the radio k−chromatic numbers are termed as the radio number (rnG) and radial radio number (rrG) of G, respectively. …”
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Fuzzy Case-Based Reasoning in Product Style Acquisition Incorporating Valence-Arousal-Based Emotional Cellular Model by Fuqian Shi, Jiang Xu, Shouqian Sun

“…Emotional cellular (EC), proposed in our previous works, is a kind of semantic cell that contains kernel and shell and the kernel is formalized by a triple- L = <P, d, δ>, where P denotes a typical set of positive examples relative to word-L, d is a pseudodistance measure on emotional two-dimensional space: valence-arousal, and δ is a probability density function on positive real number field. …”
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Some Bond Incident Degree Indices of Cactus Graphs by Akbar Ali, Akhlaq Ahmad Bhatti, Naveed Iqbal, Tariq Alraqad, Jaya Percival Mazorodze, Hicham Saber, Abdulaziz M. Alanazi

“…A bond incident degree (BID) index of a graph G is defined as ∑uv∈EGfdGu,dGv, where dGw denotes the degree of a vertex w of G, EG is the edge set of G, and f is a real-valued symmetric function. …”
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Biframes and some of their properties by Maryam Firouzi Parizi, Azadeh Alijani, Mohammad Ali Dehghan

“…Then, a new class of Riesz bases denoted by [ { e k } ] $[\{e_{k}\}]$ is introduced and is called b-Riesz bases. …”
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