Results 1 to 10 of about 14,865,566 (335)
Mapping transcriptomic vector fields of single cells. [PDF]
Cell, 2022 Single-cell (sc)-RNA-seq, together with RNA-velocity and metabolic labeling, reveals cellular states and transitions at unprecedented resolution. Fully exploiting these data, however, requires kinetic models capable of unveiling governing regulatory ...
Qiu X +21 more
europepmc +2 more sources
Hippocampal place cells have goal-oriented vector fields during navigation. [PDF]
Nature, 2022 The hippocampal cognitive map supports navigation towards, or away from, salient locations in familiar environments1. Although much is known about how the hippocampus encodes location in world-centred coordinates, how it supports flexible navigation is ...
Ormond J, O'Keefe J.
europepmc +2 more sources
On the Biharmonicity of Vector Fields and Unit Vector Fields [PDF]
The Journal of Geometric Analysis, 2022 Let $(M,g)$ be a compact Riemannian manifold. Equipping its tangent bundle $TM$ (resp. unit tangent bundle $T_1M$) by a pseudo-Riemannian $g$-natural metric $G$ (resp. $\tilde{G}$), we study the biharmonicty of vector fields (resp. unit vector fields) as maps $(M,g) \rightarrow (TM,G)$ (resp.
Mohamed Tahar Kadaoui Abbassi +1 more
openaire +4 more sources
Non-uniqueness for the Transport Equation with Sobolev Vector Fields. [PDF]
Ann PDE, 2018 We construct a large class of examples of non-uniqueness for the linear transport equation and the transport-diffusion equation with divergence-free vector fields in Sobolev spaces W1,p\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
Modena S, Székelyhidi L.
europepmc +3 more sources
On Jacobi-Type Vector Fields on Riemannian Manifolds
Mathematics, 2019 In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field ...
Bang-Yen Chen +2 more
doaj +3 more sources
Geometry of conformal vector fields
Arab Journal of Mathematical Sciences, 2017 It is well known that the Euclidean space (Rn,〈,〉), the n-sphere Sn(c) of constant curvature c and Euclidean complex space form (Cn,J,〈,〉) are examples of spaces admitting conformal vector fields and therefore conformal vector fields are used in ...
Sharief Deshmukh
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Displaying Time Series, Spatial, and Space-Time Data with R, 2018 The velocity of a fluid at each point of space-time is a vector field (or flow). It is best to think of it in terms of the effect of fluid flow on some scalar field. A vector field is thus a first order partial differential operator, called the material derivative in fluid mechanics.
S. Rajeev
semanticscholar +3 more sources
TensoRF: Tensorial Radiance Fields [PDF]
European Conference on Computer Vision, 2022 We present TensoRF, a novel approach to model and reconstruct radiance fields. Unlike NeRF that purely uses MLPs, we model the radiance field of a scene as a 4D tensor, which represents a 3D voxel grid with per-voxel multi-channel features.
Anpei Chen +4 more
semanticscholar +1 more source
Mathematics, 2023 We introduce a special vector field ω on a Riemannian manifold (Nm,g), such that the Lie derivative of the metric g with respect to ω is equal to ρRic, where Ric is the Ricci tensor of (Nm,g) and ρ is a smooth function on Nm.
Hanan Alohali, Sharief Deshmukh
doaj +1 more source
Bianchi I Cosmology and Scalar Vector Tensor Brans Dicke Gravity [PDF]
Iranian Journal of Astronomy and Astrophysics, 2021 We consider Brans Dicke scalar vector tensor gravity to study an inflationary scenario of the accelerating expansion of theuniverse for which the anisotropy property occurs.
Hossein Ghaffarnejad, Hoda Gholipour
doaj +1 more source