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    Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation by Huanhe Dong, Yanfeng Zhang, Yongfeng Zhang, Baoshu Yin

    Published 2014-01-01
    “…We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials, and a general Riemann theta function in terms of the Hirota method. …”
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    Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions by Weiguo Rui

    Published 2014-01-01
    “…In order to show the properties of these exact solutions visually, we plot the graphs of some representative traveling wave solutions.…”
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  6. 426

    Cluster-projected matrix product state: Framework for engineering exact quantum many-body ground states in one and two dimensions by Hidehiro Saito, Chisa Hotta

    Published 2025-01-01
    “…We propose a framework to design concurrently a frustration-free quantum many-body Hamiltonian and its numerically exact ground states on a sufficiently large finite-size cluster in one and two dimensions using an elementary matrix product state (MPS) representation. …”
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  7. 427

    Conservation Laws, Symmetry Reductions, and New Exact Solutions of the (2 + 1)-Dimensional Kadomtsev-Petviashvili Equation with Time-Dependent Coefficients by Li-hua Zhang

    Published 2014-01-01
    “…At the same time, many new exact solutions are derived such as soliton and soliton-like solutions and algebraically explicit analytical solutions.…”
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  8. 428

    Exact Solution for Non-Self-Similar Wave-Interaction Problem during Two-Phase Four-Component Flow in Porous Media by S. Borazjani, P. Bedrikovetsky, R. Farajzadeh

    Published 2014-01-01
    “…Analytical solutions for one-dimensional two-phase multicomponent flows in porous media describe processes of enhanced oil recovery, environmental flows of waste disposal, and contaminant propagation in subterranean reservoirs and water management in aquifers. We derive the exact solution for 3×3 hyperbolic system of conservation laws that corresponds to two-phase four-component flow in porous media where sorption of the third component depends on its own concentration in water and also on the fourth component concentration. …”
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  9. 429

    Solving the incomplete data problem in Greco-Latin square experimental design by exact-scheme analysis of variance without data imputation by Kittiwat Sirikasemsuk, Sirilak Wongsriya, Kanogkan Leerojanaprapa

    Published 2024-11-01
    “…This study introduced a novel exact-scheme analysis of variance to tackle the challenge of incomplete data within the Greco-Latin square experimental design (GLSED), specifically for scenarios with a single missing observation across any treatment and block level, thus eliminating the need for conventional data imputation methods. …”
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    Impact of a Novel Oblique-Tip Papillotome for Biliary Cannulation during ERCP: A Nonrandomized Coarsened Exact Matching Study by Hiroo Imazu, Shiaw-Hooi Ho, Shoryoku Hino, Khean-Lee Goh, Mitsuhiko Moriyama, Kazuki Sumiyama, Hisao Tajiri

    Published 2020-01-01
    “…The results of the OT-CGC and OT-WGC groups were compared with those of the ST-WGC group after performing coarsened exact matching (CEM) to reduce bias due to nonrandomized and center-based patient allocation. …”
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    The Dentato-Rubro-Olivary Tract: Clinical Dimension of This Anatomical Pathway by Fadil Khoyratty, Thomas Wilson

    Published 2013-01-01
    “…The triangle is defined by dentate efferents ascending through the superior cerebellar peduncle and crossing in the decussation of the brachium conjunctivum inferior to the red nucleus, to finaliy reach the inferior olivary nucleus (ION) via the central tegmental tract. The triangle is completed by ION decussating efferents terminating on the original dentate nucleus via the inferior cerebellar peduncle. …”
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  17. 437

    Two Different Upper Tract Urological Malignancies on Either Side by W. S. L. De Silva, S. R. De Almeida, G. D. B. J. Karunarathne, A. A. S. Samarathunga, K. M. C. S. Gannoruwa, J. A. S. B. Jayasundara

    Published 2021-01-01
    “…However, to the best of our knowledge, a case of upper tract urothelial carcinoma (UTUC) with contralateral renal cell carcinoma (RCC) is not reported in surgical literature so far. …”
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    Mammal Diversity on Conservation Islands in Protected Areas in Oaxaca, Mexico by Eugenio Padilla, Rosa Elena Galindo-Aguilar, Miguel Briones-Salas

    Published 2025-01-01
    “…This study explores the diversity and structure of medium and large mammals in (1) four protected natural areas in Oaxaca, Mexico, and (2) two different conservation strategies: one protected natural area (PNA) and three Voluntary Conservation Areas (VCAs). …”
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