Results 71 to 80 of about 7,179 (171)

CEVA, MENELAUS AND STEWART THEOREMS FOR GEODESIC TRIANGLES ON THE HYPERBOLIC UNIT SPHERE

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
: In this study, we give Ceva, Menelaus and Stewart Theorems for geodesic triangles on the hyperbolic unit sphere . Keywords: Geodesic triangle, Lorentz space, timelike vector.
Mehmet ÖNDER
doaj  

Geometric Speed Limit of Accessible Many-Body State Preparation

Physical Review X, 2019
We analyze state preparation within a restricted space of local control parameters between adiabatically connected states of control Hamiltonians. We formulate a conjecture that the time integral of energy fluctuations over the protocol duration is ...
Marin Bukov, Dries Sels, Anatoli Polkovnikov   +2 more
doaj   +1 more source

Timelike surfaces with Bertrand geodesic curves in Minkowski 3–space

AIP Advances
Geodesic curves on a surface play an essential role in reasonable implementation. A curve on a surface is a geodesic curve if its principal normal vector is aligned with the surface normal. Using the Serret–Frenet frame, the timelike (TL) surfaces can be
A. A. Almoneef, R. A. Abdel-Baky
doaj   +1 more source

Nonlinear excitation of energetic particle driven geodesic acoustic mode by resonance overlap with Alfvén instability in ASDEX Upgrade

Scientific Reports
The Alfvén instability nonlinearly excited the energetic-particle-driven geodesic acoustic mode on the ASDEX-Upgrade tokamak, as demonstrated experimentally.
Hao Wang, Philipp Lauber, Yasushi Todo, Yasuhiro Suzuki, Hanzheng Li, Malik Idouakass, Jialei Wang, Panith Adulsiriswad, The ASDEX Upgrade Team   +8 more
doaj   +1 more source

A Cortical-Inspired Contour Completion Model Based on Contour Orientation and Thickness

Journal of Imaging
An extended four-dimensional version of the traditional Petitot–Citti–Sarti model on contour completion in the visual cortex is examined. The neural configuration space is considered as the group of similarity transformations, denoted as M=SIM(2).
Ivan Galyaev, Alexey Mashtakov
doaj   +1 more source

Geodesics in Goedel-Synge spaces

, 1982
Our purpose is to study the geodesic lines in the form: ds2=dx2 + 2h(x4)dx1dx2 + g(x4)dx22 – dx23 – dx24, and to compare with the work of S. Chandrasekhar and J. P. Wright on geodesics in Gödel’s universe. We will give, first, an isometric embedding of the form ds2=dx2 + 2h(x4)dx1dx2 + g(x4)dx22 – dx23 – dx24 in a pseudo Euclidean space of 10 ...
openaire   +2 more sources

Recognizing Weighted Means in Geodesic Spaces

Foundations of Computational Mathematics
Geodesic metric spaces support a variety of averaging constructions for given finite sets. Computing such averages has generated extensive interest in diverse disciplines. Here we consider the inverse problem of recognizing computationally whether or not a given point is such an average, exactly or approximately. In nonpositively curved spaces, several
Goodwin, Ariel, Lewis, Adrian S., Lopez-Acedo, Genaro, Nicolae, Adriana   +3 more
openaire   +2 more sources

Invariance Principle for Lifts of Geodesic Random Walks. [PDF]

J Theor Probab
Junné J, Redig F, Versendaal R.
europepmc   +1 more source

The importance of structure: Using targeted rewiring to explore social networks property interdependencies. [PDF]

PLoS One
Chueca Del Cerro C, Badham J.
europepmc   +1 more source

RiemannInfer: improving transformer inference through Riemannian geometry. [PDF]

Sci Rep
Mao R, Zhang Z, Yang M, Xie H, Wei S, Hu C.   +5 more
europepmc   +1 more source