Zobrazeno 1 - 10
of 206 930
pro vyhledávání: '"A. aj"'
Starting from AJ Bu's recent article that computed explicit expressions for the GENERATING functions of sums of powers of areas under Dyck and Motzkin paths, we deduce from them explicit expressions for the actual sequences. This enables taking the l
Externí odkaz:
http://arxiv.org/abs/2405.03079
Using properties of diffusion according to a quantum heat kernel constructed as an expectation over classical heat kernels on $S^1$, we probe the non-manifold-like nature of quantized space in a model of (1+1)-dimensional quantum gravity. By computin
Externí odkaz:
http://arxiv.org/abs/2405.00594
By a classical result of Gauss and Kuzmin, the continued fraction expansion of a ``random'' real number contains each digit $a\in\mathbb{N}$ with asymptotic frequency $\log_2(1+1/(a(a+2)))$. We generalize this result in two directions: First, for cer
Externí odkaz:
http://arxiv.org/abs/2403.16761
Publikováno v:
Sustainability 2020, 12(18), 7818
This paper presents a numerical and experimental analysis of the patent of a device to be used in vertical-axis wind turbines (VAWTs) under extreme wind conditions. The device consists of two hemispheres interconnected by a set of conveniently implem
Externí odkaz:
http://arxiv.org/abs/2401.10656
Spiral arms are one of the most important features used to classify the morphology of local galaxies. The cosmic epoch when spiral arms first appeared contains essential clues to the evolution of disk galaxies. In this letter, we used James Webb Spac
Externí odkaz:
http://arxiv.org/abs/2312.12389
Autor:
Piergiovanni, AJ, Noble, Isaac, Kim, Dahun, Ryoo, Michael S., Gomes, Victor, Angelova, Anelia
One of the main challenges of multimodal learning is the need to combine heterogeneous modalities (e.g., video, audio, text). For example, video and audio are obtained at much higher rates than text and are roughly aligned in time. They are often not
Externí odkaz:
http://arxiv.org/abs/2311.05698
Autor:
Bu, AJ
In this paper, we first describe how to find the generating function for the sum of the areas under generalized Dyck paths (with an arbitrary set of steps) using Motzkin paths as a motivating example. We then focus on Motzkin and Dyck paths, deriving
Externí odkaz:
http://arxiv.org/abs/2310.17026
We examine a unique construction of the real numbers which proceeds directly from the integers using approximately linear-endomorphisms with finite error, called near-endomorphisms. In this paper, we show that the set of near-endomorphisms forms a co
Externí odkaz:
http://arxiv.org/abs/2310.04534
Autor:
BROWN, AJ
Publikováno v:
AQ: Australian Quarterly, 2024 Jan 01. 95(1), 19-26.
Externí odkaz:
https://www.jstor.org/stable/27273782
Building joint representations across images and text is an essential step for tasks such as Visual Question Answering and Video Question Answering. In this work, we find that the representations must not only jointly capture features from both modal
Externí odkaz:
http://arxiv.org/abs/2306.03421