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pro vyhledávání: '"Watt, P M"'
Autor:
Kalhan, Deepak Singh, Watt, Stephen M.
Considering digital ink as plane curves provides a valuable framework for various applications, including signature verification, note-taking, and mathematical handwriting recognition. These plane curves can be obtained as parameterized pairs of appr
Externí odkaz:
http://arxiv.org/abs/2408.02135
Autor:
Jeffrey, David J., Watt, Stephen M.
A Maple implementation of partitioned matrices is described. A recursive block data structure is used, with all operations preserving the block abstraction. These include constructor functions, ring operations such as addition and product, and invers
Externí odkaz:
http://arxiv.org/abs/2408.02112
Autor:
Norman, Arthur C., Watt, Stephen M.
Sometimes only some digits of a numerical product or some terms of a polynomial or series product are required. Frequently these constitute the most significant or least significant part of the value, for example when computing initial values or refi
Externí odkaz:
http://arxiv.org/abs/2407.04133
Autor:
Watt, Stephen M.
We study certain linear algebra algorithms for recursive block matrices. This representation has useful practical and theoretical properties. We summarize some previous results for block matrix inversion and present some results on triangular decompo
Externí odkaz:
http://arxiv.org/abs/2407.03976
Autor:
Norman, Arthur C., Watt, Stephen M.
Symbolic mathematical computing systems have served as a canary in the coal mine of software systems for more than sixty years. They have introduced or have been early adopters of programming language ideas such ideas as dynamic memory management, ar
Externí odkaz:
http://arxiv.org/abs/2406.09085
Autor:
Ion, Patrick D. F., Watt, Stephen M.
In this article we report on an initial exploration to assess the viability of using the general large language models (LLMs), recently made public, to classify mathematical documents. Automated classification would be useful from the applied perspec
Externí odkaz:
http://arxiv.org/abs/2406.10274
Autor:
Oancea, Cosmin E., Watt, Stephen M.
This paper explores practical aspects of using a high-level functional language for GPU-based arithmetic on ``midsize'' integers. By this we mean integers of up to about a quarter million bits, which is sufficient for most practical purposes. The goa
Externí odkaz:
http://arxiv.org/abs/2405.14642
Autor:
Chevalier Andrew, Porter Hunt J., Whelan Aviva, McKnite Autumn, Watt Kevin M., Green Danielle J.
Publikováno v:
The Journal of ExtraCorporeal Technology, Vol 56, Iss 3, Pp 101-107 (2024)
Background: Patients supported with extracorporeal life support (ECLS) circuits such as ECMO and CRRT often require high doses of sedatives and analgesics, including ketamine and dexmedetomidine. Concentrations of many medications are affected by ECL
Externí odkaz:
https://doaj.org/article/8b6fea291c564e1c95f1217f807ec459
Autor:
Watt, Stephen M.
It is shown how to compute quotients efficiently in non-commutative univariate polynomial rings. This extends earlier work where efficient generic quotients were studied with a primary focus on commutative domains. Fast algorithms are given for left
Externí odkaz:
http://arxiv.org/abs/2305.17877
Autor:
Watt, Stephen M.
The usual formulation of efficient division uses Newton iteration to compute an inverse in a related domain where multiplicative inverses exist. On one hand, Newton iteration allows quotients to be calculated using an efficient multiplication method.
Externí odkaz:
http://arxiv.org/abs/2304.01753