Tautomerism of 5-Methyl Imidazolidine Thio Derivatives in the Gas Phase: A Density Functional Study by Zaki S. Safi, Fakhr M. Abu-Awwad

“…Relative tautomerisation energies, enthalpies, entropies, Gibbs free energies, and dipole moments for 5-methyl-2,4-dioxo-imidazolidine and its thio analogous have been studied in the gas phase using hybrid density functional at the B3LYP level of theory using 6-31(d) and 6-311+(2df,2p) basis sets with full geometry optimization. A comparative investigation of their energies revealed that the keto form of the compound is the predominant tautomer with a very high tautomeric energy barrier. …”
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Noncommutative tensor triangulated categories and coherent frames by Mallick, Vivek Mohan, Ray, Samarpita

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Probing Hydrodynamics in PbPb Collisions at 5.02 TeV with Higher-order Cumulants by Dattamunsi Aryaa

“…These moments can be good probes of the initial-state geometry in high-energy nucleus-nucleus collisions, assuming a hydrodynamic expansion.…”
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Dynamical Analysis of a Pest Management Model with Saturated Growth Rate and State Dependent Impulsive Effects by Wencai Zhao, Tongqian Zhang, Xinzhu Meng, Yang Yang

“…Firstly, we analyze singular points of the model qualitatively and get the condition for focus point. Secondly, by using geometry theory of impulsive differential equation, the existence and stability of periodic solution of the system are discussed. …”
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On Some Symmetric Systems of Difference Equations by Josef Diblík, Bratislav Iričanin, Stevo Stević, Zdeněk Šmarda

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Conformally symplectic structures and the Lefschetz condition by Lejmi, Mehdi, Wilson, Scott O.

“…This short note provides a symplectic analogue of Vaisman’s theorem in complex geometry. Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in degree 1, every locally conformally symplectic structure is in fact globally conformally symplectic, whenever there is a mutually compatible almost complex structure.…”
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Compact Spacelike Hypersurfaces with Constant Mean Curvature in the Antide Sitter Space by Henrique F. de Lima, Joseilson R. de Lima

“…Our estimate depends only on the value of H and on the geometry of ∂Σ. As applications of our estimate, we obtain a characterization of hyperbolic domains of ℍ1n+1 and nonexistence results in connection with such types of hypersurfaces.…”
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Computational Tools for Cohomology of Toric Varieties by Ralph Blumenhagen, Benjamin Jurke, Thorsten Rahn

“…After an introduction of the basic definitions and properties of toric geometry, we discuss a specific computational algorithm for the determination of the dimension of line-bundle-valued cohomology groups on toric varieties. …”
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Asymptotic Behavior of Solutions of Delayed Difference Equations by J. Diblík, I. Hlavičková

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Investigation of Tribological Performances for Porous Structure of Diatom Frustule with FSI Method by Fanming Meng, Guixiang Gao, TingTing Li

“…Further, tribological performances of the diatom at its different geometry sizes and velocities are solved with FSI method and compared with corresponding values for the nonporous structure. …”
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Analytic Model of Microcantilevers as Low Frequency Generator by Sandeep Arya, Saleem Khan, Parveen Lehana

“…The model is based on the type of the selected material and geometry of the structure. The investigations are carried out with rectangular microcantilevers using silicon as the substrate. …”
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Novel exact solutions for PDEs with mixed boundary conditions by Mark Craddock, Martino Grasselli, Andrea Mazzoran

“…We are able to obtain nonstandard solutions to equations arising in a range of areas, including mathematical finance, stochastic analysis, hyperbolic geometry, and mathematical physics. Our approach uses the odd and even Hilbert transforms. …”
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"Under Ben Bulben" : la montagne chez W.B. Yeats ou la rencontre du moi et du Soi by Michel Dufour

“…Minimalist and conceptual, the Yeatsian mountain is reduced to archetypal forms related to the geometry described in A Vision, Yeats’s metaphysical treatise. …”
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Two-Dimensional Modelling and Validation of the Mass Flow in a Mixing Stirred Reactor by Daniela Kladeková, Renáta Oriňáková, Hans-Dieter Wiemhöfer, Annamária Krajníková, Andrej Oriňák

“…The results of modelling and simulation show that the electrolytic cell geometry and the presence of a solid electrode affect the streamline distribution. …”
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Electromagnetic Wave Absorbing Composites with a Square Patterned Conducting Polymer Layer for Wideband Characteristics by Won-Jun Lee, Chun-Gon Kim

“…It was found that control of the pattern geometry and surface resistance induced EMWA characteristics which can create multiresonance for wideband absorption in composite structures.…”
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Parametric Study of Ultra-Wideband Dual Elliptically Tapered Antipodal Slot Antenna by Xianming Qing, Zhi Ning Chen, Michael Yan Wah Chia

“…Usually, the performance of the DETASA is sensitive to the parameters, the effects of major geometry parameters of the radiators and feeding transition of the DETASA on antenna performance are investigated across the frequency range of 1–18 GHz. …”
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Wormhole solutions in deformed space-time by Harsha Sreekumar, E. Harikumar

“…The field equations are constructed from the deformed wormhole metric in the proper reference frame using tetrads. The spatial geometry of the wormhole is analysed in kappa space-time. …”
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Towards an Automated Design Evaluation Method for Wire Arc Additive Manufacturing by Johannes Pusicha, Henrik Stromberg, Markus Quanz, Armin Lohrengel

“…To apply the literature design rules regarding wall thickness, clearance, bead angle, and edge radius to specific geometry regions, features are classified by the indicators. …”
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Optimum technique of carotid artery reconstruction in her atherosclerotic lesion by V. V. Akhmetov, V. I. Dunaeva, F. A. Vryganov, S. V. Ordynets, I. P. Dudano

“…Early and late results of this procedure with a period of observation of at least 36 months were ana-lyzed: technical aspects of arteriotomy, features of restoration of the integrity of the vessel, changes in the "geometry" of the vessel, the use of zaplat. We studied the state of hemodynamics and complications in the early (30 days) and late postoperative period, the development of restenosis was compared between groups during the 36 months of observation. …”
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Precast-Monolithic Reinforced Concrete Large-Span Shells of Unique Buildings from Enlarged Elements by N. S. Razzakov

“…The results of experimental-theoretical studies of precast monolithic reinforced concrete shells of complex geometry assembled from enlarged elements are given. …”
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