How to Mine Information from Each Instance to Extract an Abbreviated and Credible Logical Rule by Limin Wang, Minghui Sun, Chunhong Cao

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Multi-Modal Medical Image Fusion Based on FusionNet in YIQ Color Space by Kai Guo, Xiongfei Li, Hongrui Zang, Tiehu Fan

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Feature Correspondences Increase and Hybrid Terms Optimization Warp for Image Stitching by Yizhi Cong, Yan Wang, Wenju Hou, Wei Pang

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On the stability analysis of numerical schemes for solving non-linear polynomials arises in engineering problems by Mudassir Shams, Nasreen Kausar, Serkan Araci, Liang Kong

“…The convergence order of the proposed family of iterative methods is two, according to the convergence analysis carried out using symbolic computation in the computer algebra system CAS-Maple 18. …”
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Discriminatory Target Learning: Mining Significant Dependence Relationships from Labeled and Unlabeled Data by Zhi-Yi Duan, Li-Min Wang, Musa Mammadov, Hua Lou, Ming-Hui Sun

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Fountains, histograms, and q-identities by Peter Paule, Helmut Prodinger

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Exact Solution of (4+1)-Dimensional Boiti–Leon–Manna–Pempinelli Equation by Qili Hao

“…Based on the Hirota bilinear method, using the heuristic function method and mathematical symbolic computation system, various exact solutions of the (4+1)-dimensional Boiti–Leon–Manna–Pempinelli equation including the block kink wave solution, block soliton solution, periodic block solution, and new composite solution are obtained. …”
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Automatic Classification of Restricted Lattice Walks by Alin Bostan, Manuel Kauers

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Clustering Single-cell RNA-sequencing Data based on Matching Clusters Structures by Yizhang Wang, You Zhou, Wie Pang, Yanchun Liang*, Shu Wang*

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Soliton cluster solutions of nonlinear Schrödinger equations with variable coefficients in Bessel lattice by Shaofu Wang

“…The goal of this article is to obtain soliton cluster solutions of (2 + 1)-dimensional nonlinear variable coefficient Schrödinger equations through computerized symbolic computation. By applying the self-similarity method, one soliton solution is constructed for the NLS equations with variable coefficient, which provide a model of the propagation of the soliton waves. …”
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Comparative asymptotics for discrete semiclassical orthogonal polynomials by Diego Dominici

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Traveling wave solutions for shallow water equations by U.M. Abdelsalam

“…Based on computerized symbolic computation and the homogeneous balance method, new exact traveling wave solutions of nonlinear partial differential equations (PDEs) are presented. …”
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Performance Evaluation of the Scheme 86 and HP Precision Architecture by Wu, Henry M.

“…To compare the merits of these approaches, algorithms frequently encountered in numerical and symbolic computation were hand-coded for each architecture. …”
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Application of G'/G-expansion method to the (2+1)-dimensional dispersive long wave equation by Jafar Biazar, Zainab Ayati

“…It is shown that G'/G-expansion method, with the help of symbolic computation, provides a very effective and powerful mathematical tool, for solving this equation.…”
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A symbolic approach to multiple Hurwitz zeta values at non-positive integers by Sadaoui Boualem, Jarad Fahd, Adjabi Yacine, Türkan Erkan Murat

“…In this article, we give another method to calculate the values of multiple Hurwitz zeta function at non-positive integers by means of Raabe’s formula and the Bernoulli numbers and we simplify these values by symbolic computation techniques.…”
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Intelligence in Scientific Computing by Abelson, Harold, Eisenberg, Michael, Halfact, Mathew, Katzenelson, Jacob, Sacks, Elisha, Sussman, Gerald Jay, Wisdom, Jack, Yip, Ken

“…Combining numerical techniques with ideas from symbolic computation and with methods incorporating knowledge of science and mathematics leads to a new category of intelligent computational tools for scientists and engineers. …”
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An incremental approach to the n-queen problem with polynomial time by Bouneb Zine El Abidine

“…This paper shows that computing the n-queen solution of the chessboard n-by-n from the chessboard (n-1)-by-(n-1) can be used in polynomial time O(n2) using symbolic computation on the complement of the n queen Graph. …”
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New explicit solutions for Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation by Yue Ren

“…In this paper, we propose two techniques for constructing new explicit exact (EE) solutions of the the ZK-BBM equation. we utilize either the modified Kudryashov technique and a new Kudryashov technique in conjunction with symbolic computation to achieve this goal. In addition, 3D and 2D plots were generated to illustrate the features of the obtained solutions. …”
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VANet: a medical image fusion model based on attention mechanism to assist disease diagnosis by Kai Guo, Xiongfei Li, Tiehu Fan, Xiaohan Hu

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Geometric Properties of Some Generalized Mathieu Power Series inside the Unit Disk by Živorad Tomovski, Stefan Gerhold, Deepak Bansal, Amit Soni

“…One of our proofs is assisted by symbolic computation.…”
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