Results 41 to 50 of about 527,719 (327)

Thinking Outside the Euclidean Box: Riemannian Geometry and Inter-Temporal Decision-Making. [PDF]

open access: yesPLoS ONE, 2016
Inter-temporal decisions involves assigning values to various payoffs occurring at different temporal distances. Past research has used different approaches to study these decisions made by humans and animals.
Himanshu Mishra, Arul Mishra
doaj   +1 more source

A Study on $f$-Rectifying Curves in Euclidean $n$-Space

open access: yesUniversal Journal of Mathematics and Applications, 2021
A rectifying curve in the Euclidean $n$-space $\mathbb{E}^n$ is defined as an arc-length parametrized curve $\gamma$ in $\mathbb{E}^n$ such that its position vector always lies in its rectifying space (i.e., the orthogonal complement of its principal ...
Zafar Iqbal, Joydeep Sengupta
doaj   +1 more source

Traumatic Microhemorrhages Are Not Synonymous With Axonal Injury

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Diffuse axonal injury (DAI) is caused by acceleration‐deceleration forces during trauma that shear white matter tracts. Susceptibility‐weighted MRI (SWI) identifies microbleeds that are considered the radiologic hallmark of DAI and are used in clinical prognostication.
Karinn Sytsma   +9 more
wiley   +1 more source

On the volume functional of compact manifolds with boundary with constant scalar curvature

open access: yes, 2008
We study the volume functional on the space of constant scalar curvature metrics with a prescribed boundary metric. We derive a sufficient and necessary condition for a metric to be a critical point, and show that the only domains in space forms, on ...
A.E. Fischer   +17 more
core   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

open access: yesInternational Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam   +2 more
wiley   +1 more source

Generalized open sets of Minkowski space [PDF]

open access: yesMathematica Moravica, 2015
We consider the Euclidean topology and s-topology on n-dimensional Minkowski space and investigate the interior and closure of the space cone and perforated space cone with respect to these topologies.
Ersoy Soley, Bilgin Merve, Ince Ibrahim
doaj  

Realization of the Three-dimensional Quantum Euclidean Space by Differential Operators

open access: yes, 2000
The three-dimensional quantum Euclidean space is an example of a non-commutative space that is obtained from Euclidean space by $q$-deformation. Simultaneously, angular momentum is deformed to $so_q(3)$, it acts on the $q$-Euclidean space that becomes a $
D- München   +4 more
core   +2 more sources

What Do Large Language Models Know About Materials?

open access: yesAdvanced Engineering Materials, EarlyView.
If large language models (LLMs) are to be used inside the material discovery and engineering process, they must be benchmarked for the accurateness of intrinsic material knowledge. The current work introduces 1) a reasoning process through the processing–structure–property–performance chain and 2) a tool for benchmarking knowledge of LLMs concerning ...
Adrian Ehrenhofer   +2 more
wiley   +1 more source

Kinematic Mapping in Semi-Euclidean 4-Space

open access: yesDüzce Üniversitesi Bilim ve Teknoloji Dergisi, 2015
We study the some algebraic properties of matrix associated to Hamilton operators is defined for semi-quaternions. The kinematic mapping corresponding to these operators in semi-Euclidean 4-space is same as the kinematic mapping of Blaschke and Grünwald ...
Mehdi JAFARI
doaj   +4 more sources

Dictionary Learning of Symmetric Positive Definite Data Based on Riemannian Manifold Tangent Spaces and Local Homeomorphism

open access: yesIEEE Access, 2022
Symmetric Positive Definite (SPD) data are increasingly prevalent in dictionary learning recently. SPD data are the typical non-Euclidean data and cannot constitute a Euclidean space.
Hui He   +3 more
doaj   +1 more source

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