Isolated zeros destroy Fermi surface in holographic models with a lattice by Floris Balm, Alexander Krikun, Aurelio Romero-Bermúdez, Koenraad Schalm, Jan Zaanen

“…We find that at strong lattice potentials sectors of the Fermi surface are unexpectedly destroyed and the Fermi surface becomes an arc-like disconnected manifold. We explain this phenomenon in terms of a collision of the Fermi surface pole with zeros of the fermionic Green’s function, which are explicitly computable in the holographic dual.…”
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O que acontecerá com o modelo alemão? Engajando fontes de diversidade ao nível da empresa dentro da economia alemã by Stefan Kirchner

“…Additionally, considering the manifold sources of diversity in Germany’s economy, I call for a theoretical and empirical appreciation of this diversity at the firm level. …”
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Animals as Subjects of Rights: Brazil's Constitutional Blueprint by Marina Baptista-Rosa

“…Among these countries, Brazil stands out as the sole nation where the constitutional provision is directly applicable and supported by an extensive standing regime that enables diverse actors to invoke this protection in manifold judicial proceedings. This legal framework has fostered the development of innovative legal doctrines and advocacy initiatives over the past few decades. …”
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Development of a Design and Analysis Software of Co-rotating Twin-screw Gear Transmissions by Liu Guiyuan, Zhang Lei, Wei Peitang, Liu Genshen, Hu Mingzhu, He Zhiqiang, Liu Huaiju

“…For co-rotating twin-screw gear transmissions, due to the complexity of the design process, multiple parameters as well as model iterations, cumbersome process and manifold work are needed. It is essential to develop a design and analysis software to improve the designing effect and efficiency. …”
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Multi-label feature selection based on dynamic graph Laplacian by Yonghao LI, Liang HU, Ping ZHANG, Wanfu GAO

“…In view of the problems that graph-based multi-label feature selection methods ignore the dynamic change of graph Laplacian matrix, as well as such methods employ logical-value labels to guide feature selection process and loses label information, a multi-label feature selection method based on both dynamic graph Laplacian matrix and real-value labels was proposed.The robust low-dimensional space of feature matrix was used to construct a dynamic graph Laplacian matrix, and the robust low-dimensional space was used as the real-value label space.Furthermore, manifold and non-negative constraints were adopted to transform logical labels into real-valued labels to address the issues mentioned above.The proposed method was compared to three multi-label feature selection methods on nine multi-label benchmark data sets in experiments.The experimental results demonstrate that the proposed multi-label feature selection method can obtain the higher quality feature subset and achieve good classification performance.…”
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Spherical Harmonics Ylm(θ,ϕ): Positive and Negative Integer Representations of su(1,1) for l-m and l+m by H. Fakhri

“…Here, it is shown that simultaneous realization of both symmetries inherits the positive and negative (l-m)- and (l+m)-integer discrete irreducible representations for su(1,1) Lie algebra via the spherical harmonics on the sphere as a compact manifold. So, in addition to realizing the unitary irreducible representation of su(2) compact Lie algebra via the Ylm(θ,ϕ)’s for a given l, we can also represent su(1,1) noncompact Lie algebra by spherical harmonics for given values of l-m and l+m.…”
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Resource allocation algorithm for intelligent reflecting surface-aided SWIPT networks by Wei SUN, Qingyang SONG, Lei GUO

“…In order to achieve the efficient interconnection of everything, under the limitations of terminal devices’ batteries and network coverage, the intelligent reflecting surface (IRS) technology was introduced to build a new IRS-aided simultaneous wireless information and power transfer (SWIPT) network.To further improve the total throughput of the network, a resource allocation (RA) scheme aiming at sum-rate maximization was proposed.Considering that the constraints of the maximum transmit power of a base station, the minimum energy requirement of each device and the phase shifts on an IRS, a joint transmit beamforming, power splitting (PS) ratio and phase shift optimization problem was formulated.Due to the non-convex problem and coupled variables, a block coordinate descent (BCD)-based algorithm was proposed.Then, the joint transmit beam forming design, PS ratio optimization and phase shift design were solved by using the successive convex approximation (SCA) and Riemannian manifold methods, respectively.Simulation results show that the proposed RA scheme performs better than the existing RA schemes in terms of sum-rate.…”
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Border Region Between Poland and Germany: Strengthened by the COVID-19 Pandemic by Steffen Fleßa, Julia Kuntosch

“…All agree that the flow of information and cooperation between Poland and Germany should have been more intensive to reflect the manifold economic and personal interdependencies between the two countries.…”
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A Mathematical Model for Nipah Virus Infection by Assefa Denekew Zewdie, Sunita Gakkhar

“…By using the central manifold theory, we observe that the endemic equilibrium is locally stable near to unity. …”
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Nouvelle économie du développement et essais cliniques randomisés : une mise en perspective d’un outil de preuve et de gouvernement by Agnès Labrousse

“…It is an instrument of proof but also a trendy instrument of government – in the Foucaldian sense. Its manifold applications remind of other forms of social engineering and belong to a type of governmentality noticeably distinct from the neoliberal tradition.…”
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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

“…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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ROLLING BEARING FAULT DIAGNOSIS BASED ON ADAPTIVE FEATURE SELECTION <italic>k</italic>-SUB CONVEX HULL by HU AiRu, WU ZhanTao, YANG Yu, CHENG JunSheng

“…Firstly, the convex hull distance function was used to maintain the local neighborhood structure on the data manifold, and the feature weight matrix was obtained by alternately constructing <italic>k</italic>-sub convex hulls. …”
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Superpotential of three dimensional N $$ \mathcal{N} $$ = 1 heterotic supergravity by Xenia de Ia Ossa, Magdalena Larfors, Matthew Magill, Eirik E. Svanes

“…We make some comments on the role of the superpotential functional with respect to the coupled moduli problem of instanton bundles over G2 manifolds.…”
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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. Our results provide a general guiding principle to investigate the nonlinear bulk–edge correspondence that can potentially be extended to arbitrary dimensions.…”
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Graphing, homotopy groups of spheres, and spaces of long links and knots by Robin Koytcheff

“…We show that, up to knotting, these account for all the homotopy groups in a range which depends on the dimensions of the source manifolds and target manifold and which roughly generalizes the triple-point-free range for isotopy classes. …”
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Convergence Rates of Gradient Methods for Convex Optimization in the Space of Measures by Chizat, Lénaïc

“…We study the convergence rate of Bregman gradient methods for convex optimization in the space of measures on a $d$-dimensional manifold. Under basic regularity assumptions, we show that the suboptimality gap at iteration $k$ is in $O(\log (k)k^{-1})$ for multiplicative updates, while it is in $O(k^{-q/(d+q)})$ for additive updates for some $q\in \lbrace 1,2,4\rbrace $ determined by the structure of the objective function. …”
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From applied ethics to innovation practice: an ethics-by-design approach for constructive consideration of ELSI in technological design decisions by Jan Mehlich, Christiane Woopen

“…The manifold ethical, legal, and societal implications (ELSI) of new and emerging technologies are often elicited and dealt with too late in the innovation process which creates severe challenges and risks for regulators, appliers, and users as well as society as a whole. …”
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Novel Human-Centered Robotics: Towards an Automated Process for Neurorehabilitation by Meenakshi Devi Parre, B. Sujatha

“…Parallelly, the cost of treatment and patient care also increased in a manifold. Moreover, constant monitoring and support for the patients having physical disabilities have become an ongoing challenge to the medical system. …”
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Dynamical Behavior and Stability Analysis in a Stage-Structured Prey Predator Model with Discrete Delay and Distributed Delay by Chao Liu, Qingling Zhang

“…Furthermore, directions of Hopf bifurcation and stability of the bifurcating periodic solutions are studied based on normal form theory and center manifold theorem. Numerical simulations are carried out to show consistency with theoretical analysis.…”
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Tool Capability in Visual EAM Analytics by Dierk Jugel, Christian M. Schweda, Alfred Zimmermann, Sandra Läufer

“…Enterprise Architectures (EA) consist of a multitude of architecture elements, which relate in manifold ways to each other. As the change of a single element hence impacts various other elements, mechanisms for architecture analysis are important to stakeholders. …”
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