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Bulletin of the Karaganda University-MathematicsThis paper studies the problems of classification and reduction to canonical form of linear partial differential equations of the sixth-order with non-multiple characteristics and constant coefficients. Considering that with the growth of the order of the equation or the increase in the number of independent variables, the problems of classification ...
A.T. Abdukodirov, T.A. Tulkinboev
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Double Satake Diagrams and Canonical Forms in Compact Symmetric Triads [PDF]
International Electronic Journal of Geometry, 2022 In this paper, we first introduce the notion of double Satake diagrams for compact symmetric triads. In terms of this notion, we give an alternative proof for the classification theorem for compact symmetric triads, which was originally given by ...
Kurando Baba, Osamu Ikawa
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Fast Exact NPN Classification with Influence-Aided Canonical Form [PDF]
2023 IEEE/ACM International Conference on Computer Aided Design (ICCAD), 2023 NPN classification has many applications in the synthesis and verification of digital circuits. The canonical-form-based method is the most common approach, designing a canonical form as representative for the NPN equivalence class first and then ...
Yonghe Zhang +5 more
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The Canonical Forms of Permutation Matrices
Symmetry, 2023 We address classification of permutation matrices, in terms of permutation similarity relations, which play an important role in investigating the reducible solutions of some symmetric matrix equations. We solve the three problems.
Wen-Wei Li, X. Hou, Qingwen Wang
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On the central quadric ansatz: integrable models and Painlevé reductions [PDF]
, 2012 It was observed by Tod (1995 Class. Quantum Grav.12 1535–47) and later by Dunajski and Tod (2002 Phys. Lett. A 303 253–64) that the Boyer–Finley (BF) and the dispersionless Kadomtsev–Petviashvili (dKP) equations possess solutions whose level surfaces are
E. Ferapontov, B. Huard, Aobo Zhang
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HIVE-COTE 2.0: a new meta ensemble for time series classification [PDF]
Machine-mediated learning, 2021 The Hierarchical Vote Collective of Transformation-based Ensembles (HIVE-COTE) is a heterogeneous meta ensemble for time series classification. HIVE-COTE forms its ensemble from classifiers of multiple domains, including phase-independent shapelets, bag ...
Matthew Middlehurst +5 more
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The Canonical Interval Forest (CIF) Classifier for Time Series Classification [PDF]
2020 IEEE International Conference on Big Data (Big Data), 2020 Time series classification (TSC) is home to a number of algorithm groups that utilise different kinds of discriminatory patterns. One of these groups describes classifiers that predict using phase dependant intervals.
Matthew Middlehurst +2 more
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, 2020 In this paper, we find all canonical forms for third order self-adjoint boundary conditions. These canonical forms play an important role in the study of the dependence of the eigenvalues on the problem and for their numerical calculation.
T. Niu, Xiaoling Hao, Jiong Sun, Kun Li
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Reducing nonlinear dynamical systems to canonical forms
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2018 A global framework for treating nonlinear differential dynamical systems is presented. It rests on the fact that most systems can be transformed into the quasi-polynomial format.
L. Brenig
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A non-canonical vitamin K cycle is a potent ferroptosis suppressor
Nature, 2022 Ferroptosis, a non-apoptotic form of cell death marked by iron-dependent lipid peroxidation1, has a key role in organ injury, degenerative disease and vulnerability of therapy-resistant cancers2.
Eikan Mishima +26 more
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