Results 21 to 30 of about 136,220 (232)
Cross-dimensional mathematics: A foundation for the semi-tensor product/semi-tensor addition [PDF]
Science China MathematicsA new mathematical structure, called the cross-dimensional mathematics (CDM), is proposed. The CDM considered in this paper consists of three parts: hyper algebra, hyper geometry, and hyper Lie group/Lie algebra. Hyper algebra proposes some new algebraic
Dai-Zhan Cheng
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Metric-Induced Rotations with Gielis-Based Geometry
MathematicsIn this work, we present a generalized geometric framework that extends quaternion-based rotation and translation operators within a generalized inner product and vector product setting defined on Gielis-type superquadrics.
Zehra Özdemir, J. Gielis
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, 2021 The paper deals with issues of the metric geometry basics. In particular, the concept of rectilinear placement of points is considered, based on the axioms of the distance between two points of metric space.
V. Kuz'mich, Liudmyla Kuzmich
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, 2016 Recently, Jin [4] studied lightlike hypersurfaces of an indefinite Kaehler manifold with a quarter-symmetric metric connection. In this paper, we study further the geometry of this subject.
D. Jin
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
The Kähler geometry of Bott manifolds [PDF]
Advances in Mathematics, 2018 We study the K\"ahler geometry of stage n Bott manifolds, which can be viewed as $n$-dimensional generalizations of Hirzebruch surfaces. We show, using a simple induction argument and the generalized Calabi construction from [ACGT04,ACGT11], that any ...
C. Boyer +2 more
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Investigating transcription factor dynamics in health and disease using FRAP
FEBS Letters, EarlyView.FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
wiley +1 more source
Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research
FEBS Letters, EarlyView.What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To evaluate the expression of nine blood RNA biomarkers in a clinical trial based on genes previously identified in an experimental monkey model of stroke for diagnosis feasibility and prognostication. Methods IBIS‐CT1 was a prospective longitudinal study enrolling patients with ischemic stroke (IS) or intracerebral hemorrhage (ICH ...
Salomé Retailleau +11 more
wiley +1 more source
A PROPOSAL FOR TEACHING METRIC RELATIONS IN RIGHT TRIANGLES
Revista Multidisciplinar do Nordeste MineiroThis work aims to present a way to teach the geometry content of metric relations in right triangles using a grid as a resource. The bibliographic references used were Silva & Barbosa (2022), who pointed out the causes of difficulty in this content ...
Walter Jesus da Costa Martins +8 more
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