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pro vyhledávání: '"KISS, Gergely"'
The notion of weak tiling was a key ingredient in the proof of Fuglede's spectral set conjecture for convex bodies \cite{conv}, due to the fact that every spectral set tiles its complement weakly with a suitable Borel measure. In this paper we review
Externí odkaz:
http://arxiv.org/abs/2410.04948
Voice assistants are now widely available, and to activate them a keyword spotting (KWS) algorithm is used. Modern KWS systems are mainly trained using supervised learning methods and require a large amount of labelled data to achieve a good performa
Externí odkaz:
http://arxiv.org/abs/2403.18560
Autor:
Kiss, Gergely, Laczkovich, Miklós
Let $K$ be a nonempty finite subset of the Euclidean space $\mathbb{R}^k$ $(k\ge 2)$. We prove that if a function $f\colon \mathbb{R}^k\to \mathbb{C}$ is such that the sum of $f$ on every congruent copy of $K$ is zero, then $f$ vanishes everywhere. I
Externí odkaz:
http://arxiv.org/abs/2403.01279
In order to reprove an old result of R\'edei's on the number of directions determined by a set of cardinality $p$ in $\mathbb{F}_p^2$, Somlai proved that the non-constant polynomials over the field $\mathbb{F}_p$ whose range sums are equal to $p$ are
Externí odkaz:
http://arxiv.org/abs/2311.06136
In this paper we investigate the Fuglede's conjecture for $\mathbb{Z}_{p^2q^2r}$ and provide a proof of it under the condition $p^2q^2 \le r$. We develop a new technique by studying the divisibility of the mask polynomial of a given set by some syste
Externí odkaz:
http://arxiv.org/abs/2308.16277
Autor:
KISS, Gergely
Publikováno v:
Belvedere Meridionale, Vol 27, Iss 2, Pp 92-97 (2015)
The present paper aims to show briefly the formation of the research project Fasti Ecclesiae Gallicanae founded by Hélène Millet in 1990, their antecedents, the concept, the structure and the constitution of the volumes to have a general idea not o
Externí odkaz:
https://doaj.org/article/d2d29387b60c4fd7b982f322b73b340d
Autor:
KISS, Gergely
Publikováno v:
Belvedere Meridionale, Vol 27, Iss 2, Pp 106-116 (2015)
Externí odkaz:
https://doaj.org/article/4370303d367c454ea551c56550abad18
Autor:
KISS, Gergely
Publikováno v:
Belvedere Meridionale, Vol 27, Iss 2, Pp 22-36 (2015)
Th e present work aims to show the main elements of the legal culture of the clergy in the 14th century-Hungary. Th e starting point is the explanation of the notion “legal culture”, the presentation of its three main elements, the legal service
Externí odkaz:
https://doaj.org/article/1e02cbff973543b399a88bc0c4485172
The main purpose of this paper is to prove that the positive real numbers can be decomposed into finitely many disjoint pieces which are also closed under addition and multiplication. As a byproduct of the argument we determine all the possible decom
Externí odkaz:
http://arxiv.org/abs/2303.16579
Autor:
Gselmann, Eszter, Kiss, Gergely
In this sequence of work we investigate polynomial equations of additive functions. We consider the solutions of equation \[ \sum_{i=1}^{n}f_{i}(x^{p_{i}})g_{i}(x)^{q_{i}}= 0 \qquad \left(x\in \mathbb{F}\right), \] where $n$ is a positive integer, $\
Externí odkaz:
http://arxiv.org/abs/2303.03306