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  1. 441

    Best Proximity Point Theorem in Quasi-Pseudometric Spaces by Robert Plebaniak

    Published 2016-01-01
    “…Next, inspired by Abkar and Gabeleh we proved new best proximity point theorem in a quasi-pseudometric space. A best proximity point theorem furnishes sufficient conditions that ascertain the existence of an optimal solution to the problem of globally minimizing the error inf⁡{d(x,y):y∈T(x)}, and hence the existence of a consummate approximate solution to the equation T(X)=x.…”
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  2. 442
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  4. 444

    In-Structure Shock of Surface Structures: A Theoretical Approach by Hongyuan Zhou, Xiaojuan Wang

    Published 2015-01-01
    “…The present study theoretically investigates the response of a structural member subjected to a close range blast, for both scenarios with and without attaching foam cladding. …”
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  5. 445

    Theoretical and Experimental Investigation of the Dynamic Behaviour of Centrifugal Fans by G. Mariaux, Y. Gervais, L. Crespeau

    Published 2000-01-01
    “…In this paper, a theoretical model is proposed to investigate the centrifugal fans' transient behaviour in response to sudden imposed changes in pressure or flow rate. …”
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  6. 446

    Rigidity of symmetric simplicial complexes and the lower bound theorem by James Cruickshank, Bill Jackson, Shin-ichi Tanigawa

    Published 2025-01-01
    “…Our result implies that Stanley’s lower bound theorem for centrally symmetric polytopes extends to pseudomanifolds with a free simplicial automorphism of order 2, thus verifying (the inequality part of) another conjecture of Klee, Nevo, Novik and Zheng. …”
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  7. 447

    Caristi’s Fixed Point Theorem in Cone Metric Space by Fatemeh Lael, Naeem Saleem, Reny George

    Published 2022-01-01
    “…In addition, we partially addressed an open problem in which Caristi-Kirk fixed point result in cone metric spaces reduces to a classical result in metric spaces and provided a brief justification for a partial positive answer to this open problem using Caristi-Kirk fixed point theorem on uniform space. The proofs given to Caristi-Kirk’s result vary and use different techniques.…”
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  8. 448

    Trace theorems for Sobolev-Slobodeckij spaces with or without weights by Doyoon Kim

    Published 2007-01-01
    “…We prove that the well-known trace theorem for weighted Sobolev spaces holds true under minimal regularity assumptions on the domain. …”
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  9. 449

    Structural and Theoretical Studies of 2-amino-3-nitropyridine by N. S. Al-Hokbany, A. A. Dahya, I. Kh. Warad, N. M. Abd El-Salam, S. T. Akriche, M. Rzaiguib, U. Karamac, R. M. Mahfouzc

    Published 2012-01-01
    “…The theoretical infrared spectra have been successfully simulated by means of DFT and MP2 levels of calculations. …”
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  10. 450

    Theoretical Research on the Mechanism of the Dimerization Reactions of Alkyl Ketene by Zhiguo Zhang, Guoneng Li, Guilin Hu, Yaoyu Sun

    Published 2013-01-01
    “…All the geometric configurations of the stationary points on the reactions path were optimized with Gaussian03 employing density functional theory at the B3LYP/6-311G++(d, p) level by energy gradient technique. …”
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  11. 451
  12. 452

    A Korovkin Type Approximation Theorem and Its Applications by Malik Saad Al-Muhja

    Published 2014-01-01
    “…We present a Korovkin type approximation theorem for a sequence of positive linear operators defined on the space of all real valued continuous and periodic functions via A-statistical approximation, for the rate of the third order Ditzian-Totik modulus of smoothness. …”
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  13. 453

    The local limit theorem of large deviations for multiplicative functions by Rimantas Skrabutėnas

    Published 2001-12-01
    “… In the present paper we continue investigation of the local distribution of multiplicative ari­thmetic functions from the class M(G). A local theorem of large deviations is obtained. …”
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    Theoretical understanding of gradients of spike functions as boolean functions by DongHyung Yoo, Doo Seok Jeong

    Published 2024-11-01
    “…Unfortunately, the error-backpropagation algorithm with this gradient function fails to outperform popularly employed surrogate gradients, which may arise from the narrow peak of the gradient function and consequent potential undershoot and overshoot around the spiking threshold with coarse timesteps. We provide theoretical grounds of this hypothesis.…”
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    On Bernstein-Type Theorems in Semi-Riemannian Warped Products by Wenjie Wang, Ximin Liu

    Published 2013-01-01
    “…By using a technique according to Yau (1976) and a reasonable restriction on the mean curvature of the hypersurfaces, we obtain some new Bernstein-type theorems which extend some known results proved by Camargo et al. (2011) and Colares and Lima (2012).…”
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