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pro vyhledávání: '"RENAUD, J."'
This article presents a contribution to multi-criteria decision support intended for industrial decision-makers in order to determine the best compromise between design criteria when working on risky or innovative products. In (RENAUD et al. 2008) we
Externí odkaz:
http://arxiv.org/abs/2409.04462
The ranking of possible alternatives during the design or operation of an industrial process leads to the definition of a solution representing the best compromise between several contradictory objectives. The choice of solution is a decision that ca
Externí odkaz:
http://arxiv.org/abs/2409.04461
We derive explicit restriction and continuation formulas between n-dimensional (Anti)-de Sitter spaces and the (n + 1)-dimensional Minkowskian ambient space for the codifferential and Laplace-de Rham operators acting on p-forms.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2408.01360
Identities pertaining to the de Rham codifferential {\delta} in differential geometry are scattered in the literature. This article gathers such formulas involving usual differential operators (Lie derivative, Schouten-Nijenhuis bracket, ...), while
Externí odkaz:
http://arxiv.org/abs/2406.02476
Publikováno v:
Emergent Scientist, Volume 4, EDP Sciences, 2020
In this article, we study the behaviour of a looped string launched in ambient air using motorised wheels. We show that the loop, once it reaches its stationary state, is either in the pulley or the air-lifted state. The transition between these two
Externí odkaz:
http://arxiv.org/abs/2402.17813
We describe embeddings of $n$-dimensional Lorentzian manifolds, including Friedmann-Lema\^itre-Robertson-Walker spaces, in $\mathbb{R}^{n+2}$ such that the metrics of the submanifolds are inherited by a restriction from that of $\mathbb{R}^{n+2}$, an
Externí odkaz:
http://arxiv.org/abs/2312.05049
Publikováno v:
J. Math. Phys. 63, 072301 (2022)
The Laplace-de Rham operator acting on a one-form $a$: $\square a$, in $\mathbb{R}^{n+2}$ or $\mathbb{R}^{n+1}$ spaces is restricted to $n$-dimensional pseudo-spheres. This includes, in particular, the $n$-dimensional de Sitter and Anti-de Sitter spa
Externí odkaz:
http://arxiv.org/abs/2201.03253
Publikováno v:
In Pratiques psychologiques March 2024 30(1):1-16
Akademický článek
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Publikováno v:
Journal of Mathematical Physics 58, 113503 (2017)
The FLRW spacetimes can be realized as submanifolds of $\mathbb{R}^6$. In this paper we relate the Laplace-Beltrami operator for an homogeneous scalar field $\phi$ of $\mathbb{R}^6$ to its explicit restriction on FLRW spacetimes. We then make the lin
Externí odkaz:
http://arxiv.org/abs/1711.10771