Linearization from Complex Lie Point Transformations by Sajid Ali, M. Safdar, Asghar Qadir

“…We identify such a class by employing complex structure on the manifold that defines the geometry of differential equations. Furthermore we provide a geometrical construction of the procedure adopted that provides an analogue in R3 of the linearizability criteria in R2.…”
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A Measurement System for the Position and Phase Errors of the Elements in an Antenna Array Subject to Mutual Coupling by Tore Lindgren, Johan Borg

“…Simulations show that the method gives accurate results even in the presence of noise in the measurements. The geometry of the probe-array system affects the performance significantly.…”
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Steel Wire Mechanical Property Degradation Study Based on Numerical Simulation by Jiangjiang Li, Xuanyu Zhang

“…The results show that the corrosion changes the geometry of the cross section of the steel wire, which leads to the degradation of the mechanical properties of the steel wire. …”
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Projections in Moduli Spaces of the Kleinian Groups by Hala Alaqad, Jianhua Gong, Gaven Martin

“…This is useful in studying the geometry of the Kleinian groups since f,g will be discrete only if f,ϕ is, and the moduli space of groups f,ϕ is one complex dimension less. …”
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Symplectic Analytical Solutions for the Magnetoelectroelastic Solids Plane Problem in Rectangular Domain by Xiao-Chuan Li, Wei-An Yao

“…The transversely isotropic magnetoelectroelastic solids plane problem in rectangular domain is derived to Hamiltonian system. In symplectic geometry space with the origin variables—displacements, electric potential, and magnetic potential, as well as their duality variables—lengthways stress, electric displacement, and magnetic induction, on the basis of the obtained eigensolutions of zero-eigenvalue, the eigensolutions of nonzero-eigenvalues are also obtained. …”
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Continuum limits of particles interacting via diffusion by Nicholas D. Alikakos, Giorgio Fusco, Georgia Karali

“…So, the theory of Lifshitz, Slyozov, and Wagner is improved by taking into account the geometry of the spatial distribution.…”
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Molecular Dynamics Simulation of Nanoscale Channel Flows with Rough Wall Using the Virtual-Wall Model by Xiaohui Lin, Fu-bing Bao, Xiaoyan Gao, Jiemin Chen

“…The effect of roughness element geometry on flow behaviors is then studied in detail. …”
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Asymptotic Upper and Lower Estimates of a Class of Positive Solutions of a Discrete Linear Equation with a Single Delay by J. Diblík, I. Hlavičková

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Black Hole Entropy from Indistinguishable Quantum Geometric Excitations by Abhishek Majhi

“…In loop quantum gravity the quantum geometry of a black hole horizon consists of discrete nonperturbative quantum geometric excitations (or punctures) labeled by spins, which are responsible for the quantum area of the horizon. …”
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A survey on the positive mass theorem for asymptotically flat initial data sets by Huang, Lan-Hsuan

“…Originating from a conjecture in general relativity regarding the ADM mass, the positive mass theorem has significantly influenced geometry and analysis over the past four decades and continued to inspire new connections. …”
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Multiresolution Analysis Applied to the Monge-Kantorovich Problem by Armando Sánchez-Nungaray, Carlos González-Flores, Raquiel R. López-Martínez

“…We take a Haar type MRA constructed according to the geometry of our spaces. Thus, applying the Haar type MRA based on symmetries to the MK problem, we obtain a sequence of transportation problem that approximates the original MK problem for each of MRA. …”
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On the Difference Equation xn=anxn-k/(bn+cnxn-1⋯xn-k) by Stevo Stević, Josef Diblík, Bratislav Iričanin, Zdeněk Šmarda

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Application of Image Reconstruction Based on Inverse Radon Transform in CT System Parameter Calibration and Imaging by Chun-li Wang, Hao-chi Zhang, Ze-yu Zeng, Jun-hui Yu, Yang Wang

“…According to the requirements of CT system parameter calibration and imaging, using OpenCV and MATLAB software, the reverse Radon transform and the Canny edge detection algorithm in the projection edge methods can determine the position and geometry of two different media in the square tray based on given data. …”
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Transverse Momentum, Centrality, and Participant Nucleon Number Dependence of Elliptic Flow by Bao-Chun Li, Yuan-Yuan Fu, Li-Li Wang, Fu-Hu Liu

“…In the combined framework of a multisource and participant-spectator model, we study the elliptic flow as a function of transverse momentum and number of participating nucleons in s N N = 200  GeV Au-Au and s N N = 2.76  TeV Pb-Pb collisions and argue that the geometry of the initial overlap region in the collisions determines the experimentally measured azimuthal asymmetries. …”
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Analysis of a Reflectarray by Using an Iterative Domain Decomposition Technique by Carlos Delgado, Josefa Gómez, Abdelhamid Tayebi, Iván González, Felipe Cátedra

“…The approach is based on a domain decomposition technique that divides the geometry into several parts to minimize the vast computational resources required when applying a full wave method. …”
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Synthesis and Characterization of Some Ni(II) and Cu(II) Complexes with 2-[(4-Aminophenyl)imino]-1, 2-diphenyl-1-ethanone by K. M. Khalifa, A. M. Hamil, A. Gasem, A. Abdulsalam

“…The metal ligand ratio was found to be 1:1. Square planer geometry for both complexes was suggested.…”
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Radar Cross-Section Formulation of a Shell-Shaped Projectile Using Modified PO Analysis by Mohammad Asif Zaman, Md. Abdul Matin

“…The projectile is modeled using differential geometry. The paper presents a detailed analysis procedure for RCS formulation using physical optics (PO) method. …”
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Synthesis, Characterization, and Biological Evaluation of Unimetallic and Heterobimetallic Complexes of Bivalent Copper by Anshul Singh, Ashu Chaudhary

“…These complexes thoroughly characterized using various physical, analytical, and spectroscopic techniques indicate square planar and distorted octahedral geometry for the synthesized unimetallic and heterobimetallic complexes, respectively. …”
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Biaxial fatigue tests of notched specimens for AISI 304L stainless steel by G. Beretta, V. Chaves, A. Navarro

“…High cycle fatigue tests were conducted for stainless steel AISI 304L. The geometry was a thin walled tube with a passing through hole. …”
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Cohomology of semi-invariant submanifolds of cosymplectic manifolds by Ramazan Sarı

“…We present an example for semi-invariant submanifold of a cosymplectic manifold.Later, We obtain characterizations, investigate the geometry of distributions which arise from the definition of semi-invariant submanifold. …”
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