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pro vyhledávání: '"A Torrance"'
A Tangle is a smooth simple closed curve formed from arcs (or ``links'') of circles with fixed radius. Most previous study of Tangles has dealt with the case where these arcs are quarter-circles, but Tangles comprised of thirds and sixths of circles
Externí odkaz:
http://arxiv.org/abs/2405.20793
Autor:
Torrance, Douglas A.
We introduction the ForeignFunctions package for Macaulay2, which uses libffi to provide the ability to call functions from external libraries without needing to link against them at compile time. As an example, we use the library FFTW to compute fas
Externí odkaz:
http://arxiv.org/abs/2405.12365
After a few results on curves, we characterize the smallest nonempty Terracini loci of Veronese and Segre-Veronese varieties. For del Pezzo surfaces, we give a full description of the Terracini loci. Moreover, we present an algorithm to explicitly co
Externí odkaz:
http://arxiv.org/abs/2311.09067
Artificial Intelligence (AI) is poised to enable a new leap in the creation of scholarly content. New forms of engagement with AI systems, such as collaborations with large language models like GPT-3, offer affordances that will change the nature of
Externí odkaz:
http://arxiv.org/abs/2305.11058
Recent advances in artificial intelligence (AI) have raised questions about whether the use of AI is appropriate and legal in various professional contexts. Here, we present a perspective on how scholars may approach writing in conjunction with AI, a
Externí odkaz:
http://arxiv.org/abs/2305.03722
Autor:
Torrance, Andrew W., Tomlinson, Bill
To learn how to behave, the current revolutionary generation of AIs must be trained on vast quantities of published images, written works, and sounds, many of which fall within the core subject matter of copyright law. To some, the use of copyrighted
Externí odkaz:
http://arxiv.org/abs/2305.03720
Autor:
Torrance, Andrew W., Tomlinson, Bill
Over the past half century, there have been several false dawns during which the "arrival" of world-changing artificial intelligence (AI) has been heralded. Tempting fate, the authors believe the age of AI has, indeed, finally arrived. Powerful image
Externí odkaz:
http://arxiv.org/abs/2305.03719
In the past several years, scientists have issued a series of warnings about the threats of climate change and other forms of environmental disruption. Here, we provide a scientists' warning on how technology affects these issues. Technology simultan
Externí odkaz:
http://arxiv.org/abs/2304.11271
As AI systems proliferate, their greenhouse gas emissions are an increasingly important concern for human societies. We analyze the emissions of several AI systems (ChatGPT, BLOOM, DALL-E2, Midjourney) relative to those of humans completing the same
Externí odkaz:
http://arxiv.org/abs/2303.06219
Autor:
Torrance, Douglas A.
Publikováno v:
J. Softw. Alg. Geom. 14 (2024) 51-57
We introduce the Probability package for Macaulay2, which provides an interface for users to compute probabilities and generate random variates from a wide variety of univariate probability distributions.
Comment: Various improvements based on r
Comment: Various improvements based on r
Externí odkaz:
http://arxiv.org/abs/2212.09793