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pro vyhledávání: '"A Báez"'
Obtaining an explicit understanding of communication within a Hybrid Intelligence collaboration is essential to create controllable and transparent agents. In this paper, we describe a number of Natural Language Understanding models that extract expl
Externí odkaz:
http://arxiv.org/abs/2412.18364
Autor:
Baez, John C.
If we treat the symmetric group $S_n$ as a probability measure space where each element has measure $1/n!$, then the number of cycles in a permutation becomes a random variable. The Cycle Length Lemma describes the expected values of products of thes
Externí odkaz:
http://arxiv.org/abs/2412.16386
In this paper, we construct an exact solution of the Einstein $SU(N)$-Skyrme model in $D=4$ space-time dimensions describing a charged and rotating black hole with toroidal horizon. Rotation is added by applying an improper coordinate transformation
Externí odkaz:
http://arxiv.org/abs/2412.12343
In this paper, the stability of IMEX-BDF methods for delay differential equations (DDEs) is studied based on the test equation $y'(t)=-A y(t) + B y(t-\tau)$, where $\tau$ is a constant delay, $A$ is a positive definite matrix, but $B$ might be any ma
Externí odkaz:
http://arxiv.org/abs/2412.12297
Autor:
Münchmeyer, Jannes, Molina, Diego, Radiguet, Mathilde, Marsan, David, Baez, Juan-Carlos, Ortega-Culaciati, Francisco, Tassara, Andres, Moreno, Marcos, Socquet, Anne
Like earthquakes, slow slip events release elastic energy stored on faults. Yet, the mechanisms behind slow slip instability and its relationship with seismicity are debated. Here, we use a seismo-geodetic deployment to document a shallow slow slip e
Externí odkaz:
http://arxiv.org/abs/2411.18490
Autor:
Baez, John C.
Publikováno v:
Notices Amer. Math. Soc. 71 (2024), 1390-1391
The hexagonal tiling honeycomb is a beautiful structure in 3-dimensional hyperbolic space. It is called {6,3,3} because each hexagon has 6 edges, 3 hexagons meet at each vertex in a Euclidean plane tiled by regular hexagons, and 3 such planes meet al
Externí odkaz:
http://arxiv.org/abs/2412.00048
Autor:
Báez, Luis M., Santos, Andrés
The Laplace transform is a valuable tool in physics, particularly in solving differential equations with initial or boundary conditions. A 2014 study by Tsaur and Wang (2014 \emph{Eur.~J.~Phys.} \textbf{35} 015006) introduced a Laplace-transform-base
Externí odkaz:
http://arxiv.org/abs/2411.08915
Physics-informed neural networks (PINNs) incorporate physical laws into their training to efficiently solve partial differential equations (PDEs) with minimal data. However, PINNs fail to guarantee adherence to conservation laws, which are also impor
Externí odkaz:
http://arxiv.org/abs/2410.17445
Classically, the splitting principle says how to pull back a vector bundle in such a way that it splits into line bundles and the pullback map induces an injection on $K$-theory. Here we categorify the splitting principle and generalize it to the con
Externí odkaz:
http://arxiv.org/abs/2410.05598
Autor:
Moreno, Esperanza, Kumar, Piyush, Adansi, Richard O, Moreno, Dorothy, Rodriguez, Demy, Ramirez, Raul Baez, Kapsa, Audrey R, Rodriguez, Arturo, Agarwal, Neelam, Kumar, Vinod, Calvo, Beverley A, Tandon, Vivek
The ExploreSTEM Summer Camps 2023 were designed to deliver inclusive STEM education to students aged 14 to 22 years with disabilities. This paper presents a thorough examination of the 2023 camp program, emphasizing the pivotal role of inclusive STEM
Externí odkaz:
http://arxiv.org/abs/2409.12251