The Interactions of N-Soliton Solutions for the Generalized (2+1)-Dimensional Variable-Coefficient Fifth-Order KdV Equation by Xiangrong Wang, Xiaoen Zhang, Yong Zhang, Huanhe Dong

“…Moreover, the Bäcklund transformation of the equation is gotten according to the binary Bell-polynomial and the period wave solutions are given by applying the Riemann theta function method.…”
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Function smoothing regularization for precision factorization machine annealing in continuous variable optimization problems by Katsuhiro Endo, Kazuaki Z. Takahashi

“…This study shows that in the widely used case where real numbers are represented by a combination of binary variables, the function surface of the Hamiltonian obtained by FM can be very noisy. …”
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Cournot–Bertrand Duopoly Model: Dynamic Analysis Based on a Computed Cost by S. S. Askar, Ahmed M. Alshamrani

“…One of those fixed points is Nash equilibrium, and the discussion shows that it can be unstable through flip and Neimark–Sacker bifurcation. The invariant manifold for the game’s map is analyzed. …”
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Measurement of Apparent Building Damage by Using a Single Image by Junda Lyu, Jiacheng Gao, Dejun Gao

“…By using cross-ratio invariability between real and image coordinates, the damage area and the side lengths of the selected region were measured using the vanishing point, the vanishing line, and a line segment with a known length. …”
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Learning Discriminative Salient LBP for Cloud Classification in Wireless Sensor Networks by Shuang Liu, Zhong Zhang

“…We focus on the issue of ground-based cloud classification in wireless sensor networks (WSN) and propose a novel feature learning algorithm named discriminative salient local binary pattern (DSLBP) to tackle this issue. The proposed method is a two-layer model for learning discriminative patterns. …”
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Pedestrian Motion Path Detection Method Based on Deep Learning and Foreground Detection by Meiman Li, Wenfu Xie

“…For the surveillance video images captured by monocular camera, this paper proposes a method combining foreground detection and deep learning to detect moving pedestrians, making full use of the invariable background of video image. Firstly, the motion region is extracted by the method of interframe difference and background difference. …”
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2D Direction of Arrival Estimation for Cross Array in the Presence of Mutual Coupling by Weiwei Hu, Aijun Zhang, Changming Wang

“…Propagation method (PM) and rotational invariance techniques for uniform linear array (ULA) are utilized in the constructed matrix to obtain two parameters correlated with elevations and azimuths. …”
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Different Characterizations of Large Submodules of QTAG-Modules by Fahad Sikander, Alveera Mehdi, Sabah A. R. K. Naji

“…The study of large submodules and its fascinating properties makes the theory of QTAG-modules more interesting. A fully invariant submodule L of M is large in M if L+B=M, for every basic submodule B of M. …”
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Adaptive Noise Reduction of Scintigrams with a Wavelet Transform by Koichi Ogawa, Masahiko Sakata, Yu Li

“…The proposed method was a combination of the translation-invariant denoising method and our newly introduced denoising filter which was applicable for Poisson noise. …”
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Bifurcation Analysis and Chaos Control in a Discrete-Time Parasite-Host Model by Xueli Chen, Lishun Ren

“…More specifically, when the integral step size is chosen as a bifurcation parameter, this paper presents the finding of period orbits, attracting invariant cycles and chaotic attractors of the discrete-time parasite-host system. …”
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On a family of weighted convolution algebras by Hans G. Feichtinger, A. Turan Gürkanli

“…In the first section invariance properties and asymptotic estimates for the translation and modulation operators are given. …”
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Magnetodielectric and Metalomagnetic 1D Photonic Crystals Homogenization: ε-μ Local Behavior by J. I. Rodríguez Mora, J. Flores Méndez, B. Zenteno Mateo, F. Severiano Carrillo, R. C. Ambrosio Lázaro

“…We present the explicit form of these tensors in the case of binary 1D photonic crystals.…”
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Transition from the topological to the chaotic in the nonlinear Su–Schrieffer–Heeger model by Kazuki Sone, Motohiko Ezawa, Zongping Gong, Taro Sawada, Nobuyuki Yoshioka, Takahiro Sagawa

“…We also propose the correspondence between the absolute value of the topological invariant and the dimension of the stable manifold under sufficiently weak nonlinearity. …”
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Tail Bounds for ℓ1 Norm of Gaussian Random Matrices with Applications by Xianjie Gao, Mingliang Zhang, Jinming Luo

“…As major components of the random matrix theory, Gaussian random matrices have been playing an important role in many fields, because they are both unitary invariant and have independent entries and can be used as models for multivariate data or multivariate phenomena. …”
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Homogeneity Test of Response Rate Functions in Bilateral Correlated Data under Dallal’s Model by Hengyi Zhao, Xiaojuan Wang, Jingwen Bian, Shenglong Chen, Zhiming Li

“…In clinical studies, paired binary metadata are often encountered during collecting information from paired organs or parts. …”
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Depuis les podiums des reines de beauté : se produire comme femme trans en Bolivie by Pascale Absi

“…Nevertheless, the desire to be recognized as equal in beauty and femininity to a Miss limits the possibility of questioning the hegemonic man/woman binary. Thus, in a similar way to the indigenous Miss pageants, the transgender contests seem permeated by the tension between the reproduction of certain means of oppression and a genuinely subversive project.…”
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Discrete-Time Exponentially Stabilizing Fuzzy Sliding Mode Control via Lyapunov’s Method by Radiša Ž. Jovanović, Zoran M. Bučevac

“…The exponentially stabilizing state feedback control algorithm is developed by Lyapunov’s second method leading to the variable structure system with chattering free sliding modes. Linear time-invariant discrete-time second order plant is considered and the control law is obtained by using a simple fuzzy controller. …”
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Modular representations of Loewy length two by M. E. Charkani, S. Bouhamidi

“…More precisely, we describe the K[G]-modules M such that J2M=0 and give some properties and isomorphism invariants which allow us to compute the number of isomorphism classes of K[G]-modules M such that dimK(M)=μ(M)+1, where μ(M) is the minimum number of generators of the K[G]-module M. …”
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Skein modules of links in cylinders over surfaces by Jens Lieberum

“…This module gives rise to 𝒞 (M)-valued invariants of usual links in M. We determine a basis of the ℤ[z]-module 𝒞 (Σ×[0,1])/Tor (𝒞 (Σ×[0,1])), where Σ is the real projective plane or a surface with boundary. …”
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On Omega Index and Average Degree of Graphs by Sadik Delen, Musa Demirci, Ahmet Sinan Cevik, Ismail Naci Cangul

“…Average degree of a graph is defined to be a graph invariant equal to the arithmetic mean of all vertex degrees and has many applications, especially in determining the irregularity degrees of networks and social sciences. …”
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