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Autor:
Katsuoka, Tadahiro
Ihara and Birch obtained a formula expressing the sum of powers of the traces of elliptic curves over a fixed finite field of characteristic $p$ in terms of the traces of Hecke operators for $\mathrm{SL}_2(\mathbb{Z})$. Generalizing the theorems of I
Externí odkaz:
http://arxiv.org/abs/2412.18181
This study proposes a methodology to utilize machine learning (ML) for topology optimization of periodic lattice structures. In particular, we investigate data representation of lattice structures used as input data for ML models to improve the perfo
Externí odkaz:
http://arxiv.org/abs/2411.13869
This paper is concerned with absolutely irreducible quasisimple subgroups $G$ of a finite general linear group $GL_d(\mathbb{F}_q)$ for which some element $g\in G$ of prime order $r$, in its action on the natural module $V=(\mathbb{F}_q)^d$, is irred
Externí odkaz:
http://arxiv.org/abs/2411.08270
Autor:
Bourgeois, Daniel, Ding, Zhimin, Jankov, Dimitrije, Li, Jiehui, Sleem, Mahmoud, Tang, Yuxin, Yao, Jiawen, Yao, Xinyu, Jermaine, Chris
We consider the problem of automatically decomposing operations over tensors or arrays so that they can be executed in parallel on multiple devices. We address two, closely-linked questions. First, what programming abstraction should systems for tens
Externí odkaz:
http://arxiv.org/abs/2410.02682
Real Time performance testing can be divided into two distinct parts: system test and algorithm test. System test checks that the right functions operate on the right data within power, latency, and other constraints under all conditions. Major RAN O
Externí odkaz:
http://arxiv.org/abs/2410.09310
We give a density condition for when, subject to a necessary parity condition, an eulerian graph or digraph may be cellularly embedded in an orientable surface so that it has exactly two faces, each bounded by an euler circuit, one of which may be sp
Externí odkaz:
http://arxiv.org/abs/2409.14531
The time-critical industrial applications pose intense demands for enabling long-distance deterministic networks. However, previous priority-based and weight-based scheduling methods focus on probabilistically reducing average delay, which ignores st
Externí odkaz:
http://arxiv.org/abs/2409.09592
Autor:
Greenhill, Catherine, Makai, Tamás
A dihypergraph consists of a set of vertices and a set of directed hyperedges, where each directed hyperedge is partitioned into a head and a tail. Directed hypergraphs are useful in many applications, including the study of chemical reactions or rel
Externí odkaz:
http://arxiv.org/abs/2408.12874
Autor:
Darrow, David, Ovall, Jeffrey S.
In modeling quantum systems or wave phenomena, one is often interested in identifying eigenstates that approximately carry a specified property; scattering states approximately align with incoming and outgoing traveling waves, for instance, and elect
Externí odkaz:
http://arxiv.org/abs/2408.05394
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