Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform by Hafte Amsalu Kahsay, Adnan Khan, Sajjad Khan, Kahsay Godifey Wubneh

“…We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the Laplace transform stated in corollaries. …”
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Decomposition of exponential sums based on subspace and its application in channel estimation by Zhiwei WU, Haiquan WANG, Meihui LI, Xinyu ZHANG, Taoxin QIAN

“…The problem of the decomposition of an exponential sum sequence is a classical mathematical problem.Prony method and Prony-Kung method are the classical methods to solve this problem.The Prony-Kung method was analyzed in detail from the point of view of support subspace.On this basis, it was proved theoretically that the problem of the decomposition of an exponential sum sequence could be reduced to the determination of the support subspace, and a Lloyd-like algorithm with low-complexity for searching the support subspace for contaminated exponential sum sequence by noised was proposed.Finally, the above algorithm was applied to estimate millimeter wave channel, and the simulation results show the effectiveness of this application.…”
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A Criterion for the Fuzzy Set Estimation of the Regression Function by Jesús A. Fajardo

“…Also, the convergence rate of the optimal scaling factor is computed, which coincides with the convergence rate in classic kernel estimation. Finally, these theoretical findings are illustrated using a numerical example.…”
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Strong Converse Results for Linking Operators and Convex Functions by Ana-Maria Acu, Margareta Heilmann, Ioan Rasa

“…We consider a family Bn,ρc of operators which is a link between classical Baskakov operators (for ρ=∞) and their genuine Durrmeyer type modification (for ρ=1). …”
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Sustainable coastal living spaces using shipping containers by Savaniu Ioan Mihail, Tonciu Oana, Francu Catalin

“…Following the comparative analysis we found that in the case of using maritime containers we obtain negative values in terms of CO2 emissions compared to the classical construction where the CO2 emissions are much positive.…”
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Application of the Modified Mohr–Coulomb Yield Criterion in Seismic Numerical Simulation of Tunnels by Chuan-Yi Sui, Yu-Sheng Shen, Yu-Min Wen, Bo Gao

“…To solve the classical problem that the Mohr–Coulomb yield criterion overestimates the tensile properties of geotechnical materials, a modified Mohr–Coulomb yield criterion that includes both maximum tensile stress theory and smooth processing was established herein. …”
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Low-density parity-check representation of fault-tolerant quantum circuits by Ying Li

“…We outline the procedure for generating LDPC codes from circuits using the Tanner graph notation, alongside proposing graph-theory tools for constructing fault-tolerant quantum circuits from classical LDPC codes. These findings offer a systematic approach to applying classical error correction techniques in optimizing existing fault-tolerant protocols and developing new ones. …”
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Investigation into forces on offshore piles with constant and linearly varying diameters using CFD and extended Morison equation under separate wave and current loadings by Kemal Bal, Deniz Bayraktar Bural

“…Numerical simulation results are utilized to compare the force predictions of the classical Morison equation and the extended Morison equation. …”
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A Knotless Technique for Kidney Transplantation in the Mouse by Song Rong, Alfor G. Lewis, Uta Kunter, Hermann Haller, Faikah Gueler

“…We compared the outcome of this new knotless technique (n=175) with the classical approach (n=122) in terms of local thrombosis or bleeding, time for anastomosis, and survival rates. …”
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Quantum-Enhanced K-Medoids Clustering: Comparative Analysis of Stroke Medical Data by Ricardo Siahaan, Swingly Purba, Jeremia Siregar, Marvin Frans Sakti Hutabarat, Rasmi Sitohang

“…The data set was tested using the classical and K-Medoids methods with a quantum computing approach utilizing Manhattan distance calculations. …”
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USERS OF TOBACCO AND NICOTINE PRODUCTS: KEY BEHAVIORAL TYPES by Taras Gutor, Svitlana Kozii-Bredelieva, Natalia Zaremba, Dmytro Kupyra, Dzvenyslava Moskviak-Lesniak

“…The "Thirst" type is most typical in smokers of classic cigarettes - 39.91±3.24 cases per 100 respondents. …”
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Overview of research on fiber nonlinear equalization algorithm based on artificial intelligence by Yajie LI, Yongli ZHAO, Shoudong LIU, Jie ZHANG

“…The necessity and importance of nonlinear equalization algorithm in optical transmission systems were outlined.The principle of classical nonlinear equalization algorithm was described,and the shortcomings and limitations of classical algorithms were presented.Combined with the status in recent years,four kinds of nonlinear equalization algorithms based on artificial intelligence were introduced in detail.These algorithms include artificial neural networks,support vector machine,unsupervised clustering and deep neural network.All the nonlinear equalization algorithms mentioned were compared in terms of performance,complexity,instantaneity and application flexibility.Finally,the future development trend of nonlinear equalization algorithm based on artificial intelligence was analyzed.…”
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Peripheral limb gangrene in a child with polyarteritis nodosa: An unusual presentation by Namrata Patil, Murtuja Shaikh, Alpana Kondekar, Surabhi Rathi, Karishma Bade, Suroor Makharia

“…It can present either in the form of cutaneous lesions (c-PAN) or systemic involvement (classic PAN). Classic PAN involves multiorgan system whereas cutaneous PAN has benign, chronic and relapsing course characterized by involvement of skin, muscles, and joints. …”
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Problems solving in the integral calculus and the determination of the area under the curve by Juan E. N´apoles Vald´es, Maria Nubia Quevedo

“… In Integral Calculus the classic problem is the determination of the area under the curve, when said region is not expressible in terms of elementary figures. …”
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La critique de l’épistémologie classique et ses implications pédagogiques chez John Dewey et Karl Popper by Alain Firode

“…Dewey and Popper have both criticized classical theories of knowledge by opposing them with a naturalistic and evolutionary epistemology in which knowledge is thought to be an extension of vital activity. …”
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Bénard Problem for Slightly Compressible Fluids: Existence and Nonlinear Stability in 3D by Arianna Passerini

“…This property adds to the problem a rather interesting mathematical challenge that is not encountered in the classical model, thus requiring a new approach for its resolution.…”
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Wigner-Ville Distribution Associated with the Linear Canonical Transform by Rui-Feng Bai, Bing-Zhao Li, Qi-Yuan Cheng

“…Firstly, unlike the classical Wigner-Ville transform, a new definition of Wigner-Ville distribution associated with the linear canonical transform is given. …”
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Correlated Proportions Test under Indeterminacy by Abdullah M. Almarashi, Muhammad Aslam

“…The existing Z-test for correlated proportions under classical statistics is applied when observations in the data are exact and precise. …”
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Operations on Soft Sets Revisited by Ping Zhu, Qiaoyan Wen

“…We find that the new operation system on soft sets inherits all basic properties of operations on classical sets, which justifies our definitions.…”
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Finite volume expectation values in the sine-Gordon model by Árpád Hegedűs

“…In the ultraviolet limit, we checked our results against Liouville 3-point functions, while in the infrared limit, we evaluated our formulas in the semi-classical limit and compared them up to 2-particle contributions against the semi-classical limit of the previously conjectured LeClair-Mussardo type formula. …”
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