Stochastically Ultimate Boundedness and Global Attraction of Positive Solution for a Stochastic Competitive System by Shengliang Guo, Zhijun Liu, Huili Xiang

“…We first show that the positive solution of the above system does not explode to infinity in a finite time, and the existence and uniqueness of positive solution are discussed. …”
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Natural Frequencies of a Cracked Beam Coupled with a Compressible Sloshing Fluid by Michele Di Sciuva, Cecilia Surace

“…The coupled system is subject to undisturbed boundary condition at infinity in the fluid domain. A range of different boundary conditions have been analysed such as both incompressible and compressible fluid, with and without sloshing. …”
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De la rage métaphysique au calme scientifique : religion et sciences naturelles chez Flaubert by Juliette Azoulai

“…The study of Nature forces Flaubert’s characters to face an experience of totality that underlines their finitude and opens onto infinity. Thus it offers an experience that belongs to the sacred, so that the natural sciences, far from being opposed to Metaphysics, lead to the understanding of an “immanent surnaturalism”, to use one of Victor Hugo’s expressions, which is a combination of grotesque irrationality and sublime wisdom.…”
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Palmprint Authentication System Based on Local and Global Feature Fusion Using DOST by N. B. Mahesh Kumar, K. Premalatha

“…The global feature is obtained by reducing the scale of discrete orthonormal Stockwell transform to infinity. The local and global matching distances of the two palmprint images are fused to get the final matching distance of the proposed scheme. …”
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Square-free numbers in the intersection of Lehmer set and Piatetski-Shapiro sequence by Zhao Xiaoqing, Yi Yuan

“…By employing additive character properties to transform congruence equations and applying Kloosterman sums and methods of exponential sums, we derive a sharp asymptotic formula as $ q $ approaches infinity, which is significant for understanding the distribution properties of the Lehmer problem.…”
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« Raconter plusieurs histoires à la fois » : Deleuze, de l’empirisme transcendantal au roman moderne by Antoine Brisac

“…In contrast to Finnegans Wake, a simulacrum that complicates all the stories of the world, Borges' Fictions rely on chance so that one and the same story can tell an infinity of outcomes.…”
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The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix by Jianxing Zhao, Feng Wang, Yaotang Li

“…In addition, a new upper bound for the infinity norm on the inverse of the Schur complement of Ostrowski matrix is given. …”
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A Class of Spherical and Elliptical Distributions with Gaussian-Like Limit Properties by Chris Sherlock, Daniel Elton

“…We present a class of spherically symmetric random variables defined by the property that as dimension increases to infinity the mass becomes concentrated in a hyperspherical shell, the width of which is negligible compared to its radius. …”
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The added value of coupling anti-dsDNA and anti-chromatin antibodies in follow-up monitoring of systemic lupus erythematosus patients by Caroline Carlé, Françoise Fortenfant, Chloé Bost, Julie Belliere, Stanislas Faguer, Dominique Chauveau, Antoine Huart, David Ribes, Laurent Alric, Gregory Pugnet, Laurent Sailler, Yves Renaudineau

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Blow-Up Analysis for a Quasilinear Degenerate Parabolic Equation with Strongly Nonlinear Source by Pan Zheng, Chunlai Mu, Dengming Liu, Xianzhong Yao, Shouming Zhou

“…We investigate the blow-up properties of the positive solution of the Cauchy problem for a quasilinear degenerate parabolic equation with strongly nonlinear source ut=div(|∇um|p−2∇ul)+uq,  (x,t)∈RN×(0,T), where N≥1, p>2 , and m, l,  q>1, and give a secondary critical exponent on the decay asymptotic behavior of an initial value at infinity for the existence and nonexistence of global solutions of the Cauchy problem. …”
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A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms by Djamel Ouchenane, Zineb Khalili, Fares Yazid, Mohamed Abdalla, Bahri Belkacem Cherif, Ibrahim Mekawy

“…We consider a one-dimensional linear thermoelastic Bresse system with delay term, forcing, and infinity history acting on the shear angle displacement. …”
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Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time Delay by Cun Wang, Xisheng Dai, Kene Li, Zupeng Zhou

“…When the iterative learning number k approaches infinity, the consensus error in the sense of the L2 norm between all agents in the system will converge to zero. …”
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On Existence of Solution for a Class of Semilinear Elliptic Equations with Nonlinearities That Lies between Different Powers by Claudianor O. Alves, Marco A. S. Souto

“…We prove that the semilinear elliptic equation −Δu=f(u), in Ω, u=0, on ∂Ω has a positive solution when the nonlinearity f belongs to a class which satisfies μtq≤f(t)≤Ctp at infinity and behaves like tq near the origin, where 1<q<(N+2)/(N−2) if N≥3 and 1<q<+∞ if N=1,2. …”
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Asymptotic formula for large eigenvalues of the two-photon quantum Rabi model by Boutet de Monvel, Anne, Zielinski, Lech

“…We prove that the spectrum of the two-photon quantum Rabi Hamiltonian consists of two eigenvalue sequences $(E_m^+)_{m=0}^\infty $, $(E_m^-)_{m=0}^\infty $ satisfying a three-term asymptotic formula with the remainder estimate $O(m^{-1}\ln m)$ when $m$ tends to infinity. By analogy to the one-photon quantum Rabi model, the leading three terms of this asymptotic formula, describe a generalized rotating-wave approximation for large eigenvalues of the two-photon quantum Rabi model.…”
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Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method by Abdon Atangana, Adem Kılıçman

“…The approximated solutions obtained converge to the exact solution as tends to infinity.…”
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Spatial behavior for the quasi-static heat conduction within the second gradient of type Ⅲ by Jincheng Shi, Shuman Li, Cuntao Xiao, Yan Liu

“…When the distance tends to infinity, the energy either grows exponentially or decays exponentially. …”
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The Gyrokinetic Limit for the Two-Dimensional Vlasov–Yukawa System with a Point Charge by Xianghong Hu, Xianwen Zhang

“…When the intensity of the magnetic field tends to infinity, we show that the kinetic system converges to the measure-valued Euler equation with a defect measure, which extends the results of Miot to the case of the Vlasov–Yukawa system. …”
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Two-Stage Adaptive Optimal Design with Fixed First-Stage Sample Size by Adam Lane, Nancy Flournoy

“…Asymptotics for regular models with fixed number of stages are straightforward if one assumes the sample size of each stage goes to infinity with the overall sample size. However, it is not uncommon for a small pilot study of fixed size to be followed by a much larger experiment. …”
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Holographic Carrollian currents for massless scattering by Romain Ruzziconi, Amartya Saha

“…Abstract We show that the Ward identities of a Carrollian CFT stress tensor at null infinity reproduce the leading and subleading soft graviton theorems for massless scattering in the bulk. …”
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Jean Jaurès : neutralité, religion, socialisme et école laïque by Jean-Marc Lamarre

“…He expands his teaching to all major problems and raises the child's mind toward its embodied awareness of infinity. …”
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