Algorithms for the Shortest Path Improvement Problems under Unit Hamming Distance by Bingwu Zhang, Xiucui Guan, Chunyuan He, Shuguo Wang

“…In a shortest path improvement problem under unit Hamming distance (denoted by SPIUH), an edge weighted graph with a set of source-terminal pairs is given; we need to modify the lengths of edges by a minimum cost under unit Hamming distance such that the modified distances of the shortest paths are upper bounded by given values. …”
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Adaptive Finite-Time Fault-Tolerant Control for Half-Vehicle Active Suspension Systems with Output Constraints and Random Actuator Failures by Jie Lan, Tongyu Xu

“…Markovian variables are used to denote in terms of different random actuators failures. …”
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On the cooling number of the generalized Petersen graphs by Kai An Sim, Kok Bin Wong

“…Recently, Bonato et al. (2024) introduced a new graph parameter, which is the cooling number of a graph $ G $, denoted as CL$ (G) $. In contrast with burning which seeks to minimize the number of rounds to burn all vertices in a graph, cooling seeks to maximize the number of rounds to cool all vertices in the graph. …”
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On Simple Graphs Arising from Exponential Congruences by M. Aslam Malik, M. Khalid Mahmood

“…For each pair of positive integers a and b, let G(n) denote the graph for which V={0,1,…,n−1} is the set of vertices and there is an edge between a and b if the congruence ax≡b (mod n) is solvable. …”
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Algorithmic Complexity and Bounds for Domination Subdivision Numbers of Graphs by Fu-Tao Hu, Chang-Xu Zhang, Shu-Cheng Yang

“…The domination number of G, denoted by γG, is the smallest cardinality of a dominating set of G. …”
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On maximum residual block Kaczmarz method for solving large consistent linear systems by Wen-Ning Sun, Mei Qin

“…The first method, named the maximum residual block Kaczmarz (denoted as MRBK) method, first partitions the coefficient matrix, and then captures the largest block in the residual vector during each block iteration to ensure that it is eliminated first. …”
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Non-unitarity maximizing unraveling of open quantum dynamics by Ruben Daraban, Fabrizio Salas-Ramírez, Johannes Schachenmayer

“…This enables a more efficient classical representation of trajectories using matrix product decompositions. Our new approach is denoted non-unitarity maximizing unraveling (NUMU). …”
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Images de l’étrange : Punch ou la re-présentation du paradigme bourgeois by Françoise Baillet

“…More connotative than denotative, the Punch portrait thus carried a significant protective function.On the social front, first, the caricature of the extremes allowed the management of a potentially dangerous otherness. …”
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Dénominations d’animés humains et dualité en anglais contemporain by Elise Mignot

“…Why can the noun phrase a German only denote a person (and not an object)? To refer to, say, a German desk, the lexeme /German/ takes the form of an adjective, not a noun. …”
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Total Face Irregularity Strength of Grid and Wheel Graph under K-Labeling of Type (1, 1, 0) by Aleem Mughal, Noshad Jamil

“…The integer k is named as total face irregularity strength of the graph and denoted as tfsG. We also discussed a special case of total face irregularity strength of plane graphs under k-labeling of type (1, 1, 0). …”
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Exploring chirality structure in nucleon decay by Koichi Hamaguchi, Shihwen Hor, Natsumi Nagata, Hiroki Takahashi

“…By employing an effective field theory approach, we demonstrate that the ratio of partial decay widths of proton decay channels, Γ(p → ηℓ +)/Γ(p → π 0 ℓ +), where ℓ + denotes a positron or anti-muon, is sensitive to this chirality structure. …”
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Practical Hybrid Machine Learning Approach for Estimation of Ultimate Load of Elliptical Concrete-Filled Steel Tubular Columns under Axial Loading by Tien-Thinh Le

“…The proposed model was Adaptive Neurofuzzy Inference System (ANFIS) combined with Real Coded Genetic Algorithm (RCGA), denoted as RCGA-ANFIS. The evaluation of the model was performed using the coefficient of determination (R2) and root mean square error (RMSE). …”
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Various Half-Eigenvalues of Scalar p-Laplacian with Indefinite Integrable Weights by Wei Li, Ping Yan

“…Furthermore, all these half-eigenvalues are continuous in (a,b)∈(ℒγ,wγ)2, where wγ denotes the weak topology in ℒγ space. The Dirichlet and the Neumann half-eigenvalues are continuously Fréchet differentiable in (a,b)∈(ℒγ,‖⋅‖γ)2, where ‖⋅‖γ is the Lγ norm of ℒγ.…”
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Novel Homozygous TTI2 Variant Causing Autosomal Recessive Syndromic Intellectual Disability and Primary Microcephaly from Pakistan: A Case Report (Exome Report) by Zul Qarnain, Fatima Khan, Fizza Akbar, Salman Kirmani

“…Next generation sequencing revealed autosomal recessive TTI2 variant with uncertain significance, denoted as c.21_22insAAGCGCTCTG (p.Glu8Lysfs × 12). …”
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Achieving Network Localizability in Nonlocalizable WSN with Moving Passive Event by Xiaolei Zhou, Deke Guo, Tao Chen, Xueshan Luo

“…More than 90% nodes can be localized within 0.04 r , where r denotes the ranging radius of a sensor.…”
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The Role of Further Vocational Education in Training the Competitive Specialists for the Regional Labor Market by M. M. Abragimovich

“…The system of further education can become the key element in solving the aboveproblem providing the employees’ competence adaptation to the ever changing market demands.The research is aimed at studying the ways of improving the employees’ competitiveness in the secondary vocational institutions of the regional level, the competitive specialist concept being defined, organizational and pedagogical conditions facilitating the formation of such specialists denoted. The basic training model developed for the regional market is revealed along with its practical implementation in the Further Training Department of Novocherkassk State Industrial Humanitarian College. …”
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The Sub-Riemannian Limit of Curvatures for Curves and Surfaces and a Gauss-Bonnet Theorem in the Group of Rigid Motions of Minkowski Plane with General Left-Invariant Metric by Jianyun Guan, Haiming Liu

“…The group of rigid motions of the Minkowski plane with a general left-invariant metric is denoted by E1,1,gλ1,λ2, where λ1≥λ2>0. It provides a natural 2-parametric deformation family of the Riemannian homogeneous manifold Sol3=E1,1,g1,1 which is the model space to solve geometry in the eight model geometries of Thurston. …”
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On some properties of Banach operators by A. B. Thaheem, AbdulRahim Khan

“…Among other results we show that if α is a linear Banach operator on a normed space X, then N(α−1)=N((α−1)2), N(α−1)∩R(α−1)=(0) and if X is finite dimensional then X=N(α−1)⊕R(α−1), where N(α−1) and R(α−1) denote the null space and the range space of (α−1), respectively and 1 is the identity mapping on X. …”
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The product of r−k and ∇δ on ℝm by C. K. Li

“…In 1990, Li and Fisher introduced a computable delta sequence in an m-dimensional space to obtain a noncommutative neutrix product of r−k and Δδ (Δ denotes the Laplacian) for any positive integer k between 1 and m−1 inclusive. …”
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On the convergence of Fourier series by Geraldo Soares de Souza

“…Each bn is a special p-atom, that is, a real valued function, defined on (−π,π], which is either b(t)=1/2π or b(t)=−1|I|1/pXR(t)+1|I|1/pXL(t), where I is an interval in (−π,π], L is the left half of I and R is the right half. |I| denotes the length of I and XE the characteristic function of E. …”
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