Results 11 to 20 of about 1,461,044 (179)

Mapping transcriptomic vector fields of single cells. [PDF]

Cell, 2022
Qiu X, Zhang Y, Martin-Rufino JD, Weng C, Hosseinzadeh S, Yang D, Pogson AN, Hein MY, Hoi Joseph Min K, Wang L, Grody EI, Shurtleff MJ, Yuan R, Xu S, Ma Y, Replogle JM, Lander ES, Darmanis S, Bahar I, Sankaran VG, Xing J, Weissman JS.   +21 more
europepmc   +2 more sources

Hippocampal place cells have goal-oriented vector fields during navigation. [PDF]

Nature, 2022
Ormond J, O'Keefe J.
europepmc   +2 more sources

Longitudinally continuous varying high-order cylindrical vector fields enabled by spin-decoupled metasurfaces. [PDF]

Nanophotonics
He X, Bao H, Zhang F, Kang T, Pu M, Chen Y, Guo Y, Gong J, Xu M, Luo X.   +9 more
europepmc   +2 more sources

Classification of Lie Subalgebras up to an Inner Automorphism [PDF]

Journal of Algebraic Systems, 2014
In this paper, a useful classification of all Lie subalgebras of a given Lie algebraup to an inner automorphism is presented. This method can be regarded as animportant connection between differential geometry and algebra and has many applications in ...
Seyed Reza Hejazi
doaj   +1 more source

The impact of multiple representations on students' understanding of vector field concepts: Implementation of simulations and sketching activities into lecture-based recitations in undergraduate physics

Frontiers in Psychology, 2023
Multiple external representations (e.g., diagrams, equations) and their interpretations play a central role in science and science learning as research has shown that they can substantially facilitate the learning and understanding of science concepts ...
Larissa Hahn, Pascal Klein
doaj   +1 more source

On the properties of forward and backward shifts of vector fields [PDF]

Proceedings of the Estonian Academy of Sciences, 2022
The paper investigates some properties of recently defined forward and backward shifts of vector fields. The main purpose of the paper is to show that the forward and backward shifts of vector fields commute with the Lie bracket operator and with some ...
Arvo Kaldmäe, Vadim Kaparin, Ülle Kotta, Tanel Mullari, Ewa Pawluszewicz   +4 more
doaj   +1 more source

Vector Field Embryogeny

PLoS ONE, 2009
We present a novel approach toward evolving artificial embryogenies, which omits the graph representation of gene regulatory networks and directly shapes the dynamics of a system, i.e., its phase space. We show the feasibility of the approach by evolving cellular differentiation, a basic feature of both biological and artificial development.
Steiner, Till, Jin, Yaochu, Sendhoff, Bernhard   +2 more
openaire   +6 more sources

Representation of vector fields [PDF]

, 2015
A simple proof is given for the explicit formula which allows one to recover a $C^2-$smooth vector field $A=A(x)$ in $\mathbb{R}^3$, decaying at infinity, from the knowledge of its $\nabla \times A$ and $\nabla \cdot A$.
Ramm, A. G.
core   +2 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, Sharief Deshmukh, Amira A. Ishan   +2 more
doaj   +1 more source

Parallel vector fields [PDF]

Proceedings of the American Mathematical Society, 1965
We speak of a parallel vector field if parallel transport is independent of the path of propagation [1, p. 239]. Riemannian spaces which are flat offer a simple example for the existence of such fields [1, p. 239]. We wish to generalize the concept of parallel displacement of a vector in a Riemannian space.
openaire   +1 more source