« 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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L’archéologue dans la bande dessinée de science-fiction francophone by Rémi Auvertin

“…The article offers a synthesis on the treatment of archaeology and its practitioners by French-Belgian science fiction comics, within a wide-ranging corpus (Yoko Tsuno, The Scrameustache, Blake and Mortimer, Infinity 8, Aquablue, Cyrrus, Terres lointaines, etc.). …”
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Existence of nodal solutions to some nonlinear boundary value problems for ordinary differential equations of fourth order by Ziyatkhan Aliyev, Yagut Aliyeva

“…To do this, we first study the global bifurcation of solutions from zero and infinity of the corresponding nonlinear eigenvalue problems in classes with a fixed oscillation count. …”
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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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Research on campus question answering system supported by retrieval-augmented generation technology by JIA Chunyan, FANG Weijie, XIE Yuwei, LING Zaiying

“…A campus knowledge database was constructed, with the RAG Infinity database. To improve the retrieval efficiency of domain knowledge and the accuracy of answers, the prompt approach was proposed. …”
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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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On unsteady two-phase fluid flow due to eccentric rotation of a disk by A. K. Ghosh, S. Paul, L. Debnath

“…We examine the unsteady flow of a two-phase fluid generated by the nontorsional oscillations of a disk when the disk and the fluid at infinity rotate noncoaxially with the same angular velocity. …”
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Performance analysis of zero-forcing coordinated MIMO transmission in interference channels by Hai-rong WANG, Jian DONG, Yong-ming HUANG, ANGLV-xi Y

“…The performance of the zero-forcing (ZF) coordinated transmit strategy in multiple-input multiple-output (MIMO) interference channels was investigated.With the goal to derive analytical expression of its performance metric such as the sum rate and the outage probability,the asymptotic behavior of the performance metric was examined with the MIMO dimension tending to infinity.Using the random ma ix theory,an asymptotic estimate of all the eigenvalues of the effective channel matrix in the ZF coordinated transmit strategy was first proposed.Based on that,two closed-form expressions of the sum rate were derived,from which the scaling law of the sum rate with the MIMO dimension was obtained.Furthermore,using the multivariate statistics about the probability density distribution of the minimum eigenvalue of a Wishart matrix,the analytical expression of the outage probability for the coordinated transmit scheme was achieved under two special cases.Simulation results show that the proposed tical expression of the performance metric is valid not only in the large-dimension regime,but also in the normal-dimension regime.…”
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