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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Derivations on the matrix semirings of max-plus algebra by Suffi Nuralesa, Nikken Puspita

“…Let $(S,\oplus,\otimes)$ be a matrix semiring of max-plus algebra with the addition operation $\oplus$ and the multiplication operation $\otimes$, where the set \( S \) consists of matrices constructed from real numbers together with the element negative infinity. A derivation on the semiring \(S\) is an additive mapping \(\delta\) from \(S\) to itself that satisfies the axiom \(\delta(x \otimes y) = (\delta(x) \otimes y) \oplus (x \otimes \delta(y))\), for every \(x, y \in S\). …”
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Estimates for Unimodular Multipliers on Modulation Hardy Spaces by Jiecheng Chen, Dashan Fan, Lijing Sun, Chunjie Zhang

“…We extend such boundedness to the case of all 0<p,q≤∞ and obtain its asymptotic estimate as t goes to infinity. As applications, we give the grow-up rate of the solution for the Cauchy problems for the free Schrödinger equation with the initial data in a modulation space, as well as some mixed norm estimates. …”
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Horizon causality from holographic scattering in asymptotically dS3 by Victor Franken, Takato Mori

“…We show that causality on the horizon induced from null infinities I $$ \mathcal{I} $$ ± is consistent with the theorem. …”
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An innovative analytical method utilizing aboodh residual power series for solving the time-fractional newell-whitehead-segel equation by Seyed Edalatpanah, Eisa Abdolmaleki

“…A primary feature of our proposed method is its simplicity in computing the coefficients of terms in a series solution using the straightforward concept of limits at infinity. The effectiveness of the proposed approach is demonstrated through graphical and numerical data. …”
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Carrollian partition functions and the flat limit of AdS by Per Kraus, Richard M. Myers

“…This partition function, specified at past and future null infinity in the case of massless particles, generates Carrollian correlation functions that encode the S-matrix. …”
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Smooth imploding solutions for 3D compressible fluids by Tristan Buckmaster, Gonzalo Cao-Labora, Javier Gómez-Serrano

“…Moreover, unlike [69], the solutions constructed have density bounded away from zero and converge to a constant at infinity, representing the first example of singularity formation in such a setting.…”
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On the Development of Two-Dimensional Wakes within Curved Channels: Experimental and Theoretical Investigation by M. T. Schobeiri, K. Pappu, J. John

“…The theory also describes the straight wake as a special case, for which the curvature radius approaches infinity. To demonstrate the general validity of theory, experimental results pertaining to curved wake as well as straight wake flows are compared with the developed theory.…”
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The Pre-Schwarzian Norm Estimate for Analytic Concave Functions by Young Jae Sim, Oh Sang Kwon

“…Let Co(α) be the class of concave functions f∈S, which have the condition that the opening angle of f(D) at infinity is less than or equal to πα, α∈(1,2]. In this paper, we find a sufficient condition for the Gaussian hypergeometric functions to be in the class Co(α). …”
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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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K existenciálnej antropológii Blaisa Pascala a Sørena Kierkegaarda by Petkanič, Milan

“…In a state of existential anguish, Blaise Pascal asked himself a fundamental question: “What is man in infinity?” He tried to answer this question in his unfinished reflections, collected in Thoughts. …”

Heat Transfer Analysis on the Hiemenz Flow of a Non-Newtonian Fluid: A Homotopy Method Solution by Yasir Khan, Zdeněk Šmarda

“…The series solution is obtained without using the diagonal Padé approximants to handle the boundary condition at infinity which can be considered as a clear advantage of homotopy perturbation technique over the decomposition method. …”
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The number of nonunimodular roots of a reciprocal polynomial by Stankov, Dragan

“…We prove that the ratio of the number of nonunimodular roots of $P_{d}$ to its degree $d$ has a limit $L$ when $d$ tends to infinity. We show that if the coefficients of a polynomial can be arbitrarily large in modulus then $L$ can be arbitrarily close to $0$. …”
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Generalized logistic equation on Networks by Elbetch, Bilel

“…Second, in the case of perfect mixing, i.e. when the migration rate tends to infinity, the total population follows a generalized logistic law with a carrying capacity which in general is different from the sum of the $n$ carrying capacities. …”
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Acoustic-gravity waves in a viscous and thermally conducting isothermal atmosphere by H. Y. Alkahby

“…Finally it is shown that when Newtonian cooling coefficient goes to infinity it acts directly to eliminate the temperature perturbation associated with the wave and the attenuation factor in the amplitude of the wave. …”
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Slow Rotation of Concentric Spheres with Source at Their Centre in a Viscous Fluid by Deepak Kumar Srivastava

“…., Ω2=0), while inner sphere rotates with uniform angular velocity Ω1, and (iii) inner sphere rotates with uniform angular velocity Ω1, while outer sphere rotates at infinity with angular velocity Ω2, have been deduced.…”
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The Effects of Affinity Mediated Clonal Expansion of Premigrant Thymocytes on the Periphery T-Cell Repertoire by Guanyu Wang

“…The clonal expansiontherefore appears to be an additional selection event, resulting infine tuning of the repertoire. In this way, T-cells reaching theperiphery pool can fulfill maximum competence: both highself-restriction and high alloreactivity.…”
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Exact Solution for Long-Term Size Exclusion Suspension-Colloidal Transport in Porous Media by Z. You, P. Bedrikovetsky, L. Kuzmina

“…Total concentration of all the pores smaller than the particles turns to zero asymptotically when time tends to infinity, which corresponds to complete plugging of smaller pores.…”
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Transient Flow Theory of Multiple-Fractured Horizontal Wells with Complex Mechanisms in Shale Gas Reservoirs by Dianfa Du, Genkai Zhang, Yanwu Zhao, Xiaofei Sun, Bin Zhang

“…To further study the multiscale flow mechanisms of shale gas, a flow model was established that considered viscous flow in microfractures and inorganic pores, the diffusion of Knudsen in nanoscale porosity, the coexistence of slippage, adsorption-desorption effects under infinity, and closed outer boundary conditions; based on the continuous point source solution, a multiple-fractured horizontal well flow model was established and solved by MATLAB programming. …”
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Fixed-Time Convergent Guidance Law with Impact Angle Control by Zhongtao Cheng, Hao Wu, Bo Wang, Lei Liu, Yongji Wang

“…However, guidance law based on the Lyapunov asymptotic stability theory would lead the states to zero only as time approaches infinity, which is imperfect theory. The convergence time for guidance laws based on finite-time stable theory is dependent on the initial states. …”
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