Results 61 to 70 of about 13,564,364 (338)
A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors
Open Mathematics, 2016 Let M3 be a three-dimensional almost Kenmotsu manifold satisfying ▽ξh = 0. In this paper, we prove that the curvature tensor of M3 is harmonic if and only if M3 is locally isometric to either the hyperbolic space ℍ3(-1) or the Riemannian product ℍ2(−4) ×
Wang Yaning
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On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra
JTAM (Jurnal Teori dan Aplikasi Matematika), 2020 In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main purpose of this research is to construct a real Frobenius Lie algebra from the Heisenberg Lie algebra of dimension .
Edi Kurniadi
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From omics to AI—mapping the pathogenic pathways in type 2 diabetes
FEBS Letters, EarlyView.Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan +2 more
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Minimal Matrix Representations of Decomposable Lie Algebras of Dimension Less Than or Equal to Five
Extracta Mathematicae, 2018 We obtain minimal dimension matrix representations for each decomposable five-dimensional Lie algebra over R and justify in each case that they are minimal.
Ryad Ghanam +2 more
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Remote Sensing, 2023 Alignment technology plays an important role in navigation, and is used extensively throughout military and civilian applications. However, the existing in-flight alignment methods cannot be applied to the low-cost based strap-down inertial navigation ...
Xiaokai Wei +6 more
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Aβ42 promotes the aggregation of α‐synuclein splice isoforms via heterogeneous nucleation
FEBS Letters, EarlyView.The aggregation of amyloid‐β (Aβ) and α‐synuclein (αSyn) is associated with Alzheimer's and Parkinson's diseases. This study reveals that Aβ aggregates serve as potent nucleation sites for the aggregation of αSyn and its splice isoforms, shedding light on the intricate interplay between these two pathogenic proteins.
Alexander Röntgen +2 more
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Stability problems and numerical integration on the Lie group SO(3) × R3 × R3
Open Mathematics, 2018 The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Pop Camelia, Ene Remus-Daniel
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Mathematics, 2021 In this work, we began to take forward kinematics of the Gough–Stewart (G-S) platform as an unconstrained optimization problem on the Lie group-structured manifold SE(3) instead of simply relaxing its intrinsic orthogonal constraint when algorithms are ...
Binhai Xie, Shuling Dai, Feng Liu
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Bulletin of the American Mathematical Society, 1982 Diese Niederschrift eines Vortrages des Verfassers während des Poincaré-Symposiums der AMS im April 1980 enthält einen sehr lesenswerten Abriß der Frühgeschichte Liescher Gruppen und insbesondere eine kritische Beschreibung der Beiträge Henri Poincarés zu diesem Gebiet. Nach einer kurzen Darstellung der grundlegenden ersten Arbeiten von S.
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Molecular Oncology, EarlyView.MET variants in the N‐lobe of the kinase domain, found in hereditary papillary renal cell carcinoma, require ligand stimulation to promote cell transformation, in contrast to other RTK variants. This suggests that HGF expression in the microenvironment is important for tumor growth in such patients. Their sensitivity to MET inhibitors opens the way for
Célia Guérin +14 more
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