Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Josep Font-Segura"'
Publikováno v:
Mathematics, Vol 9, Iss 18, p 2178 (2021)
In this paper, we review two related aspects of field theory: the modeling of the fields by means of exterior algebra and calculus, and the derivation of the field dynamics, i.e., the Euler–Lagrange equations, by means of the stationary action prin
Externí odkaz:
https://doaj.org/article/07c53a049804495281dead08fff295c4
Publikováno v:
Entropy, Vol 23, Iss 5, p 569 (2021)
This paper studies a generalized version of multi-class cost-constrained random-coding ensemble with multiple auxiliary costs for the transmission of N correlated sources over an N-user multiple-access channel. For each user, the set of messages is p
Externí odkaz:
https://doaj.org/article/9af41496adb54231a8067634b0cd5fc9
Publikováno v:
2022 IEEE Information Theory Workshop (ITW).
Publikováno v:
Mathematics, Vol 7, Iss 6, p 564 (2019)
The basic concepts of exterior calculus for space−time multivectors are presented: Interior and exterior products, interior and exterior derivatives, oriented integrals over hypersurfaces, circulation and flux of multivector fields. Two Stokes theo
Externí odkaz:
https://doaj.org/article/20d4263f730f4566bea874e06befa97f
Comunicació presentada a 2022 IEEE International Symposium on Information Theory (ISIT), celebrat del 26 de juny a l'1 de juliol de 2022 a Espoo, Finlàndia. We derive a lower bound on the typical random-coding (TRC) exponent of pairwise-independent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f56138311d06aad29b69d386143e1bb
http://hdl.handle.net/10230/55729
http://hdl.handle.net/10230/55729
Publikováno v:
Mathematics, Vol 9, Iss 2178, p 2178 (2021)
Mathematics
Volume 9
Issue 18
Mathematics
Volume 9
Issue 18
In this paper, we review two related aspects of field theory: the modeling of the fields by means of exterior algebra and calculus, and the derivation of the field dynamics, i.e., the Euler-Lagrange equations, by means of the stationary action princi
Publikováno v:
The European Physical Journal Plus. 136
This paper characterizes the symmetric rank-2 stress-energy-momentum tensor associated with fields whose Lagrangian densities are expressed as the dot product of two multivector fields, e. g., scalar or gauge fields, in flat space-time. The tensor is
This paper studies the relativistic angular momentum for the generalized electromagnetic field, described by $r$-vectors in $(k,n)$ space-time dimensions, with exterior-algebraic methods. First, the angular-momentum tensor is derived from the invaria
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f4c536c2cf6ed0b322a8daa92461cf6
We present a derivation of a manifestly symmetric form of the stress-energy-momentum using the mathematical tools of exterior algebra and exterior calculus, bypassing the standard symmetrizations of the canonical tensor. In a generalized flat space-t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94626886e70dfa9bb36317945a1b6b51
http://hdl.handle.net/10230/55529
http://hdl.handle.net/10230/55529
This paper presents an exterior-algebra generalization of electromagnetic fields and source currents as multivectors of grades $r$ and $r-1$ respectively in a flat space-time with $n$ space and $k$ time dimensions. Formulas for the Maxwell equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dab03e28889d0655d8d7b828114c3e4e
http://hdl.handle.net/10230/44332
http://hdl.handle.net/10230/44332