Measurement of Apparent Building Damage by Using a Single Image by Junda Lyu, Jiacheng Gao, Dejun Gao

“…By using cross-ratio invariability between real and image coordinates, the damage area and the side lengths of the selected region were measured using the vanishing point, the vanishing line, and a line segment with a known length. …”
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The risk index for an SIR epidemic model and spatial spreading of the infectious disease by Min Zhu, Xiaofei Guo, Zhigui Lin

“…Our results suggest that the disease must spread if $R^F_0(t_0)≥q 1$ for some $t_0$ and the disease is vanishing if $R^F_0(∞) \lt 1$, while if $R^F_0(0) \lt 1$, the spreading or vanishing of the disease depends on the initial state of infected individuals as well as the expanding capability of the free boundary. …”
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Zero Diffusion-Dispersion-Smoothing Limits for a Scalar Conservation Law with Discontinuous Flux Function by H. Holden, K. H. Karlsen, D. Mitrovic

“…We consider multidimensional conservation laws with discontinuous flux, which are regularized with vanishing diffusion and dispersion terms and with smoothing of the flux discontinuities. …”
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On Some Properties of Focal Points by M. R. Ferchichi, I. Djellit

“…We consider some dynamical properties of two-dimensional maps having an inverse with vanishing denominator. We put in evidence a link between a fixed point of a map with fractional inverse and a focal point of this inverse.…”
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Supersymmetric Dyons, Superstrings, and Rotating Wormholes by E. Olszewski

“…In the case of the vanishing spin, the scalar curvature is finite everywhere. …”
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Some Properties of Fractional Boas Transforms of Wavelets by Nikhil Khanna, A. Zothansanga, S. K. Kaushik, Dilip Kumar

“…We also introduce the notion of wavelets associated with fractional Boas transforms and give some results related to their vanishing moments. Finally, a comparative study of Hilbert transforms and fractional Boas transforms is done.…”
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Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System by Xiumei Li, Chun Shen

“…The self-similar viscosity vanishing approach is also used to check the delta shock wave solution.…”
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Foliations by minimal surfaces and contact structures on certain closed 3-manifolds by Richard H. Escobales

“…Then, 𝒱[X,Y] is either always zero and H, the distribution orthogonal to the flow in T(M), is integrable with minimal leaves, or 𝒱[X,Y] never vanishes and H is a contact structure. If additionally, M has a finite-fundamental group, then 𝒱[X,Y] never vanishes on M, by the above together with a theorem of Sullivan (1979). …”
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Optimizing a Hybrid Two-Step Method for the Numerical Solution of the Schrödinger Equation and Related Problems with Respect to Phase-Lag by T. E. Simos

“…More specifically, we study how the vanishing of the phase-lag and its derivatives optimizes the efficiency of the hybrid two-step method.…”
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Predicting climate-change impacts on the global glacier-fed stream microbiome by Massimo Bourquin, Hannes Peter, Grégoire Michoud, Susheel Bhanu Busi, Tyler J. Kohler, Andrew L. Robison, Mike Styllas, Leïla Ezzat, Aileen U. Geers, Matthias Huss, Stilianos Fodelianakis, The Vanishing Glaciers Field Team, Tom J. Battin

“…Abstract The shrinkage of glaciers and the vanishing of glacier-fed streams (GFSs) are emblematic of climate change. …”
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Explicit solutions of generalized nonlinear Boussinesq equations by Doğan Kaya

“…The decomposition series analytic solution of the problem is quickly obtained by observing the existence of the self-canceling “noise” terms where sum of components vanishes in the limit.…”
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Multiple Solutions to Elliptic Equations on RN with Combined Nonlinearities by Miaomiao Yang, Anran Li

“…In this paper, we are concerned with the multiplicity of nontrivial radial solutions for the following elliptic equations (P)λ: -Δu+Vxu=λQxuq-2u+Qxfu,x∈RN; u(x)→0, as x→+∞, where 1<q<2,0<λ∈R,N≥3, V, and Q are radial positive functions, which can be vanishing or coercive at infinity, and f is asymptotically linear at infinity.…”
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Attractors for maps with fractional inverse by M. R. Ferchichi, I. Djellit

“…In this work, we consider some dynamical properties and specific contact bifurcations of two-dimensional maps having an inverse with vanishing denominator. We introduce new concepts and notions of focal points and prefocal curves which may cause and generate new dynamic phenomena. …”
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A Computational Model for q-Bernstein Quasi-Minimal Bézier Surface by Daud Ahmad, M. Khalid Mahmood, Qin Xin, Ferdous M. O. Tawfiq, Sadia Bashir, Arsha Khalid

“…The vanishing condition is reduced to a system of algebraic constraints, which can then be solved for unknown control points in terms of known boundary control points. …”
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Dissipative Effect and Tunneling Time by Samyadeb Bhattacharya, Sisir Roy

“…A critical value of the friction coefficient has been determined for which the self-interference term vanishes. This approach sheds new light on understanding the ion transport at nanoscale.…”
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Les sans-abris des quais d’Austerlitz by Emmanuel Fillon, Claire Hemery, Guillaume Lannerée

“…Through restoration of their visibility and of their spatiality, the homeless escape for a while from this "nowhere" where one easily banishes them.…”
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Casi todo era negro: resistencias y puntos de fuga en torno al tráfico ilegal de mineral (Galicia, 1939-1945) by Ana Cabana Iglesia

“…In our view, for the generation that lived through the «Wolfram fever», that time and his memory is a vanishing point regarding the reality of post-war. …”
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Compact Operators on the Bergman Spaces with Variable Exponents on the Unit Disc of C by Dieudonne Agbor

“…In particular, if S is a finite sum of finite products of Toeplitz operators with symbols from class BT, then S is compact if and only if the Berezin transform of S vanishes on the boundary of the unit disc.…”
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Asymptotic Distribution of Isolated Nodes in Secure Wireless Sensor Networks under Transmission Constraints by Y. Tang, Q. L. Li

“…In this paper, we establish asymptotic results about the distribution of isolated nodes and the vanishing small impact of the boundary effect on the number of isolated nodes in WSNs with the EG scheme under transmission constraints. …”
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The Multivariate Müntz-Szasz Problem in Weighted Banach Space on Rn by Xiangdong Yang

“…The completeness of monomials {tλk} in Cα is investigated, where Cα is the weighted Banach spaces which consist of complex continuous functions f defined on Rn with f(t) exp(-α(t)) vanishing at infinity in the uniform norm.…”
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