The size of a stratifying system can be arbitrarily large by Treffinger, Hipolito

“…The first examples consist on stratifying systems of infinite size in the module category of an algebra $A$. …”
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Warp drives and Martel–Poisson charts by Abhishek Chowdhury

“…Abstract We extend the construction of Alcubierre–Natário class of warp drives to an infinite class of spacetimes with similar properties. …”
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Fractons on curved spacetime in 2 + 1 dimensions by Jelle Hartong, Giandomenico Palumbo, Simon Pekar, Alfredo Perez, Stefan Prohazka

“…We also use the second order formulation to construct a higher dimensional generalization of the action. Finally, for the $(2+1)$-dimensional Chern–Simons theory we find solutions and interpret these as electric monopoles, analyze their charges and argue that the asymptotic symmetries are infinite-dimensional.…”
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Regular black holes from pure gravity by Pablo Bueno, Pablo A. Cano, Robie A. Hennigar

“…We show via an explicit construction how an infinite tower of higher-curvature corrections generically leads to a resolution of the Schwarzschild singularity in any spacetime dimension D≥5. …”
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WE INTER-ARE: THE PANDEMIC CHALLENGE REDEFINING HUMANS AND COMMUNITIES by K. Abraham

“…Given that social hierarchies attribute higher and lower status to human beings based on their race, class, caste and gender identity, and legitimise the exploitation of other human beings and the earth, re-thinking our hierarchical positioning as “masters” of this universe becomes imperative. …”
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New Rational Homoclinic and Rogue Waves for Davey-Stewartson Equation by Changfu Liu, Chuanjian Wang, Zhengde Dai, Jun Liu

“…Moreover, rogue wave solution is exhibited as period of periodic wave in homoclinic breather wave approaches to infinite. This result shows that rogue wave can be generated by extreme behavior of homoclinic breather wave for higher dimensional nonlinear wave fields.…”
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On Semianalytical Study of Fractional-Order Kawahara Partial Differential Equation with the Homotopy Perturbation Method by Muhammad Sinan, Kamal Shah, Zareen A. Khan, Qasem Al-Mdallal, Fathalla Rihan

“…We have demonstrated that He’s approach is highly effective and powerful for the solution of such a higher-order nonlinear partial differential equation through our calculations and simulations. …”
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Comparison of Fluid Pressure Wave between Biot Theory and Storativity Equation by Guangquan Li, Kui Liu, Xiang Li

“…The equation suffers from a disadvantage that at infinite large frequency, the predicted velocity of fluid pressure wave is infinitely large, which is unrealistic because any physical processes need certain amounts of time. …”
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Propagation of optical vortices in an add-drop resonator based on a vertical array of ring resonators by B.P. Lapin, E.V. Barshak, M.A. Yavorsky, C.N. Alexeyev

“…In this paper we study the transmission of higher-order modes, including optical vortices (OVs), through a bus fiber evanescently coupled with a vertical array of ring resonators (VAR), which form a vertically stacked multi-ring resonator. …”
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A New Way to Generate an Exponential Finite Difference Scheme for 2D Convection-Diffusion Equations by Caihua Wang

“…During the derivation process, the higher order derivatives along y-direction are removed to the derivatives along x-direction iteratively using information given by the original differential equation (similarly from x-direction to y-direction) and then instead of keeping finite terms in the Taylor series expansion, infinite terms which constitute convergent series are kept on deriving the exponential coefficients of the scheme. …”
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Reliability modeling and planning of energy harvesting based on uncertainty theory by Zhe WANG, Taoshen LI, Jin YE, Zhihui GE, Min WU

“…Energy harvesting network is a new form of computer networks.It can convert the environmental energy into usable electric energy,and supply the electrical energy as a primary or secondary power source to the electronic device for network communication.However,the energy harvesting process has great volatility and uncertainty,the traditional analytical method based on probability distribution function to describe the energy collection process can not accurately simulate the actual situation,resulting in higher depletion probability of nodes,then the reliability cannot be guaranteed as a result.For this,the energy harvesting reliability of energy harvesting nodes was defined,represented with the degree of normal operation,respectively set up the node reliability models with no battery and infinite battery.As an example for maximum node achievable rate,the uncertain multilevel programming model based on node reliability was put forward,then the network efficiency was improved under the premise of ensuring node reliability.An energy average allocation (EAA) algorithm was proposed and the upper bound of competitive ratio of the algorithm was proved theoretically.Finally,the actual wind power data was taken as an example to verify the feasibility and effectiveness of the proposed model and method.…”
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Rate Decline Analysis of Horizontal Wells with Multiple Variable Conductivity and Uneven Distributed Fractures by Yunpeng Hu, Ziyun Cheng, Wei Ding, Xiaoling Zhang, Liangchao Qu, Chunliu Sun, Penghui Su, Wenqi Zhang

“…By Laplace transformation, point source integration, and superposition principle, solutions of multiple infinite conductivity fractures in closed reservoirs are obtained. …”
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A Three-Dimensional Autonomous System with a Parabolic Equilibrium: Dynamical Analysis, Adaptive Synchronization via Relay Coupling, and Applications to Steganography and Chaos Enc... by Janarthanan Ramadoss, Romanic Kengne, Dianorré Tokoue Ngatcha, Victor Kamdoum Tamba, Karthikeyan Rajagopal, Marceline Motchongom Tingue

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Constraints on Gravitation from Causality and Quantum Consistency by Mark P. Hertzberg

“…The first class requires an infinite tower of terms for consistency, which is known to lead uniquely to general relativity. …”
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Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space by Jacob L. Bourjaily, Andrew J. McLeod, Cristian Vergu, Matthias Volk, Matt von Hippel, Matthias Wilhelm

“…While the number of Calabi-Yau manifolds of dimension three or higher is considerable (if not infinite), those relevant to most known examples come from a very simple class: degree-2k hypersurfaces in k-dimensional weighted projective space WP1,...,1,k . …”
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Nearly optimal quasienergy estimation and eigenstate preparation of time-periodic Hamiltonians by Sambe space formalism by Kaoru Mizuta

“…However, their computation has difficulty of time dependence; the problem can be mapped to a time-independent eigenvalue problem by the Sambe space formalism, but it instead requires additional infinite-dimensional space and seems to yield higher computational cost than the time-independent cases. …”
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Optimizing D2D Communication With Practical STAR-RIS and Irregular Configurations by Jung-Chieh Chen, Ting-Han Hsu

“…However, existing RIS-assisted D2D systems often rely on impractical infinite-resolution phase shifters and achieve limited coverage. …”
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Experiments on Optimal Vibration Control of a Flexible Beam Containing Piezoelectric Sensors and Actuators by Gustavo L.C.M. Abreu, José F. Ribeiro, Valder Steffen Jr

“…The equations of motion of the beam are developed by using the assumed modes technique for flexible structures in infinite-dimensional models. This paper uses a method of minimizing the effect of the removed higher order modes on the low frequency dynamics of the truncated model by adding a zero frequency term to the low order model of the system. …”
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Cooperation in the face of crisis: effect of demographic noise in collective-risk social dilemmas by José F. Fontanari

“…The catch is that the crisis may never materialize, and the investment in the public good is lost. Overall, higher risk of loss promotes cooperation, while larger group size tends to undermine it. …”
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Improvements on the discretisation of boundary conditions to the momentum balance for glacial ice by Constantijn J. Berends, Roderik S. W. van de Wal, Paul A. Zegeling

“…The most commonly used rheological law for glacial ice, Glen's flow law, yields infinite viscosity in the case of zero deformation, which can be the case at the ice surface. …”
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