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arxiv.org arXiv
arxiv.org › abs › gr-qc › 9810059v1
The space-time foliation Sigma compatible with the gravitational field g on a 4-manifold M determines a fibration pi of M, pi : M -> N is a surjective submersion over the 1-dimensional leaves space N....
arxiv.org arXiv
arxiv.org › abs › 2407.20891v5
Computational complexity of Bayesian learning is impeding its adoption in practical, large-scale tasks. Despite demonstrations of significant merits such as improved robustness and resilience to unsee...
arxiv.org arXiv
arxiv.org › abs › 2312.06469v1
We consider a variational problem modeling transition between flat and wrinkled region in a thin elastic sheet, and identify the $Γ$-limit as the sheet thickness goes to 0, thus extending the previou...
arxiv.org arXiv
arxiv.org › abs › 2306.15504v3
A thin circular elastic sheet floating on a drop-like liquid substrate is deformed due to incompatibility between the curved substrate and the planar sheet. We adopt a variational viewpoint by minimiz...
arxiv.org arXiv
arxiv.org › abs › 2505.16286v2
Quantum simulation has emerged as a powerful framework for investigating complex many - body phenomena. A key requirement for emulating these dynamics is the realization of fully controllable quantum ...
arxiv.org arXiv
arxiv.org › abs › 2411.03656v1
Growth of the older adult population has led to an increasing interest in technology-supported aged care. However, the area has some challenges such as a lack of caregivers and limitations in understa...
arxiv.org arXiv
arxiv.org › abs › 1811.02386v1
We solve two questions regarding spaces with a ($G_δ$)-diagonal of rank 2. One is a question of Basile, Bella and Ridderbos regarding weakly Lindelöf spaces with a $G_δ$-diagonal of rank 2 and the ...
arxiv.org arXiv
arxiv.org › abs › 1806.02690v2
A survey of the contributions to the Special Topic on Data-enabled Theoretical Chemistry is given, including a glossary of relevant machine learning terms....
arxiv.org arXiv
arxiv.org › abs › 1809.05508v1
In a paper by Bella, Tokgös and Zdomskyy it is asked whether there exists a Tychonoff space $X$ such that the remainder of $C_p(X)$ in some compactification is Menger but not $σ$-compact. In this pa...
arxiv.org arXiv
arxiv.org › abs › 2512.14989v1
Multimodal scientific reasoning remains a significant challenge for large language models (LLMs), particularly in chemistry, where problem-solving relies on symbolic diagrams, molecular structures, an...