A Simplified Milstein Scheme for SPDEs with Multiplicative Noise by B. Ghayebi, S. M. Hosseini

“…So, in this paper, we essentially replace the exponential term with a Padé approximation of order 1 and denote the resulting scheme by simplified Milstein scheme. …”
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The Merrifield-Simmons Index and Hosoya Index of C(n,k,λ) Graphs by Shaojun Dai, Ruihai Zhang

“…The Merrifield-Simmons index i(G) of a graph G is defined as the number of subsets of the vertex set, in which any two vertices are nonadjacent, that is, the number of independent vertex sets of G The Hosoya index z(G) of a graph G is defined as the total number of independent edge subsets, that is, the total number of its matchings. By C(n,k,λ) we denote the set of graphs with n vertices, k cycles, the length of every cycle is λ, and all the edges not on the cycles are pendant edges which are attached to the same vertex. …”
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Ranked solutions of the matric equation A1X1=A2X2 by A. Duane Porter, Nick Mousouris

“…Let GF(pz) denote the finite field of pz elements. Let A1 be s×m of rank r1 and A2 be s×n of rank r2 with elements from GF(pz). …”
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Positive and Nondecreasing Solutions to an m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation by I. J. Cabrera, J. Harjani, K. B. Sadarangani

“…We are concerned with the existence and uniqueness of a positive and nondecreasing solution for the following nonlinear fractional m-point boundary value problem: D0+αu(t)+f(t,u(t))=0,  0<t<1,  2<α≤3,  u(0)=u'(0)=0,  u'(1)=∑i=1m-2aiu'(ξi), where D0+α denotes the standard Riemann-Liouville fractional derivative, f:[0,1]×[0,∞)→[0,∞) is a continuous function, ai≥0 for i=1,2,…,m-2, and 0<ξ1<ξ2<⋯<ξm-2<1. …”
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Extraction of Fetal Electrocardiogram by Combining Deep Learning and SVD-ICA-NMF Methods by Said Ziani, Yousef Farhaoui, Mohammed Moutaib

“…Furthermore, we can disentangle the various components of fetal ECG, which serve as inputs to the CNN model to optimize the actual FECG signal, denoted by FECGr, which is recovered using the SVD-ICA process. …”
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Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian by Ya-ling Li, Shi-you Lin

“…We study the following nonlinear fractional differential equation involving the p-Laplacian operator DβφpDαut=ft,ut, 1<t<e, u1=u′1=u′e=0, Dαu1=Dαue=0, where the continuous function f:1,e×0,+∞→[0,+∞), 2<α≤3, 1<β≤2. Dα denotes the standard Hadamard fractional derivative of the order α, the constant p>1, and the p-Laplacian operator φps=sp-2s. …”
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Finite groups whose coprime graphs are AT-free by Huani Li, Xuanlong Ma

“…The coprime graph of $ G $, denoted by $ \Gamma(G) $, is an undirected graph whose vertex set is $ G $ and two distinct vertices $ x $ and $ y $ of $ \Gamma(G) $ are adjacent if and only if $ (o(x), o(y)) = 1 $, where $ o(x) $ and $ o(y) $ are the orders of $ x $ and $ y $, respectively. …”
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Applications of Lucas Balancing Polynomial to Subclasses of Bi-Starlike Functions by Gangadharan Murugusundaramoorthy, Luminita-Ioana Cotîrlă, Daniel Breaz, Sheza M. El-Deeb

“…The Lucas balancing polynomial is linked to a family of bi-starlike functions denoted as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mi mathvariant="script">S</mi><mrow><mi>s</mi><mi>c</mi></mrow><mi>c</mi></msubsup><mrow><mo>(</mo><mi>ϑ</mi><mo>,</mo><mo>Ξ</mo><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>)</mo></mrow></mrow></semantics></math></inline-formula>, which we present and examine in this work. …”
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A Lumped-Element Decoupling and Matching Network for a Four-Element Mobile Handset MIMO Antenna by Riku Kormilainen, Rasmus Luomaniemi, Anu Lehtovuori, Ville Viikari

“…In other words, this denotes a reduction of 30 percentage points in coupled power. …”
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Further Application of H-Differentiability to Generalized Complementarity Problems Based on Generalized Fisher-Burmeister Functions by Wei-Zhe Gu, Mohamed A. Tawhid

“…We study nonsmooth generalized complementarity problems based on the generalized Fisher-Burmeister function and its generalizations, denoted by GCP(f,g) where f and g are H-differentiable. …”
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Multiobjective Location Routing Problem considering Uncertain Data after Disasters by Keliang Chang, Hong Zhou, Guijing Chen, Huiqin Chen

“…The goals are the total costs of the transportation, the satisfaction rates of disaster nodes, and the path transport capacities which are denoted by vehicle velocities. Finally, the genetic algorithm is applied to solve a number of numerical examples, and the results show that the genetic algorithm is very stable and effective for this problem.…”
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Modal Mass and Length of Mode Shapes in Structural Dynamics by M. Aenlle, Martin Juul, R. Brincker

“…The literature about the mass associated with a certain mode, usually denoted as the modal mass, is sparse. Moreover, the units of the modal mass depend on the technique which is used to normalize the mode shapes, and its magnitude depends on the number of degrees of freedom (DOFs) which is used to discretize the model. …”
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Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes by Zibo Shen, Anzhong Wang, Shaoyu Yin

“…In particular, independent of concrete profile, we find that the three energy conditions are satisfied when rin≥5M/2, where M denotes the mass of the black hole. This indicates it is crucial to include inner radius when discussing dark matter distributions. …”
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Contribution of wireless sensor networks in domestic and hostile environment by Natalja Osintsev

“…Their particular characteristics are explained, while their pros and cons are denoted. Next, a discussion on certain considerations that are related with each one of these specific categories takes place. …”
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Analyzing Functions Mapping the Unit Disk to Limaçon Domain by Vali Soltani Masih, Shahram Najafzadeh

“…This function maps the open unit disk $\mathbb{D}$ onto a Limaçon domain denoted by \[ \left[(u-1)^2+v^2-s^2\right]^2<(1-s)^2\left[\left(u-1-s\right)^2+v^2\right].\]    The primary investigation concerns on analytic function families where $zh'/h$ maps the unit disk to a subset of this domain. …”
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Photosynthetic performance and carbon metabolism in the ear organs of oats under drought stress by Jiaqi Fang, Yuan Zhan, Baowen Zhao, Yan Zhao, Youjun Chen, Qingping Zhou, Hui Wang

“…The glumes, lemmas, and flag leaves were sampled on days 0, 7, and 14 after the first floret blossomed under the control (denoted as CK-0, CK-7, and CK-14), drought stress (denoted as DS-7, and DS-14) and rewatering treatments (RW-14). …”
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Word- or root-derived? A semantic test for instrumental denominal verbs in Italian by Alice Suozzi, Anna Cardinaletti

“…By explicitly asking Italian native speakers to mention the instruments that can be used to perform the action denoted by the verb, we measured the entailment of existence through the number of instrument nouns produced and the frequency of production of the corresponding instrument noun. …”
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State-Dependent Implication and Equivalence in Quantum Logic by Fedor Herbut

“…It is proved that the range projector of the Lüders state can be evaluated as , where denotes the greatest lower bound, and is the null projector of . …”
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On the class of square Petrie matrices induced by cyclic permutations by Bau-Sen Du

“…Let n≥2 be an integer and let P={1,2,…,n,n+1}. Let Zp denote the finite field {0,1,2,…,p−1}, where p≥2 is a prime. …”
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GIS based ground water assessment of Nilakkottai Taluk, Tamil Nadu, India: hydrogeochemistry and statistical perspective by Umamageswari T.S.R

“…The deduction of four principal components denotes that hydrogeochemical processes and anthropogenic inputs were the main controlling factors. …”
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