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PreprintCC BY 4.0arXiv

An Algebraic Foundation of Rate-Product Style Quantity Calculus

Abstract

Using the new notion of a scalable (right) monoid-heap, the quantity calculus in [1] is generalized to include quantities that may not be possible to multiply as well as both (weak) rates and products of quantities. Several examples are given of applications in metrology and physics

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BibTeX
@misc{jonsson2026algebraic,
  title = {{An Algebraic Foundation of Rate-Product Style Quantity Calculus}},
  author = {Dan Jonsson},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.12428},
  eprint = {2611.12428},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.12428},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - An Algebraic Foundation of Rate-Product Style Quantity Calculus
AU  - Dan Jonsson
PY  - 2026
DA  - 2026/11/09
PB  - arXiv
DO  - 10.48550/arxiv.2611.12428
UR  - https://arxiv.org/abs/2611.12428
AB  - Using the new notion of a scalable (right) monoid-heap, the quantity calculus in [1] is generalized to include quantities that may not be possible to multiply as well as both (weak) rates and products of quantities. Several examples are given of applications in metrology and physics
ER  -