Zobrazeno 1 - 10
of 1 727
pro vyhledávání: '"68W30"'
Autor:
Grimpen, Fritz, Stefanou, Anastasios
Flat-injective presentations were introduced by Miller (2020) to provide combinatorial descriptions of $\mathbb Z^n$-graded modules. We consider them in the setting of local graded rings $R$, with grading over an abelian group, and give a criterion f
Externí odkaz:
http://arxiv.org/abs/2410.17667
Using techniques coming from the theory of marked bases, we develop new computational methods for detection and construction of Cohen-Macaulay, Gorenstein and complete intersection homogeneous polynomial ideals. Thanks to the functorial properties of
Externí odkaz:
http://arxiv.org/abs/2410.17090
We study the problem of representing multivariate polynomials with rational coefficients, which are nonnegative and strictly positive on finite semialgebraic sets, using rational sums of squares. We focus on the case of finite semialgebraic sets S de
Externí odkaz:
http://arxiv.org/abs/2410.04845
Autor:
Luo, Hengrui, Li, Meng
Tree-based methods are powerful nonparametric techniques in statistics and machine learning. However, their effectiveness, particularly in finite-sample settings, is not fully understood. Recent applications have revealed their surprising ability to
Externí odkaz:
http://arxiv.org/abs/2410.02623
Autor:
Cox, David A.
These notes explore three amazing formulas proved by Abel in his 1826 Paris memoir on what we now call Abelian integrals. We discuss the first two formulas from the point of view of symbolic computation and explain their connection to residues and pa
Externí odkaz:
http://arxiv.org/abs/2410.03745
The dual phosphorylation network provides an essential component of intracellular signaling, affecting the expression of phenotypes and cell metabolism. For particular choices of kinetic parameters, this system exhibits multistationarity, a property
Externí odkaz:
http://arxiv.org/abs/2409.16234
Publikováno v:
Results Math. 79(2) (2024) Article 42
We obtain new invariant Einstein metrics on the compact Lie groups $\SO(n)$ which are not naturally reductive. This is achieved by using the real flag manifolds $\SO(k_1+\cdots +k_p)/\SO(k_1)\times\cdots\times\SO(k_p)$ and by imposing certain symmetr
Externí odkaz:
http://arxiv.org/abs/2409.18990
Autor:
Davenport, James H.
Computer algebra systems are really good at factoring polynomials, i.e. writing f as a product of irreducible factors. It is relatively easy to verify that we have a factorisation, but verifying that these factors are irreducible is a much harder pro
Externí odkaz:
http://arxiv.org/abs/2409.09533
In this paper, we provide algorithmic methods for conducting exhaustive searches for periodic Golay pairs. Our methods enumerate several lengths beyond the currently known state-of-the-art available searches: we conducted exhaustive searches for peri
Externí odkaz:
http://arxiv.org/abs/2408.15611
We propose self-similar contracting groups as a platform for cryptographic schemes based on simultaneous conjugacy search problem (SCSP). The class of these groups contains extraordinary examples like Grigorchuk group, which is known to be non-linear
Externí odkaz:
http://arxiv.org/abs/2408.14355