The Quaternion Calculus
Article Properties
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DOI (url)
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Publication Date1973/11/01
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Indian UGC (journal)
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Citations47
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C. A. Deavours
Cite
Deavours, C. A. “The Quaternion Calculus”. The American Mathematical Monthly, vol. 80, no. 9, 1973, p. 995, https://doi.org/10.2307/2318774.
Deavours, C. A. (1973). The Quaternion Calculus. The American Mathematical Monthly, 80(9), 995. https://doi.org/10.2307/2318774
Deavours CA. The Quaternion Calculus. The American Mathematical Monthly. 1973;80(9):995.
Journal Category
Science
Mathematics
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Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| The Generalized HR $q$-Derivative and Its Application to Quaternion Least Mean Square Algorithm | IEEE Signal Processing Letters |
| 2022 | |
| Constrained Quaternion-Variable Convex Optimization: A Quaternion-Valued Recurrent Neural Network Approach | IEEE Transactions on Neural Networks and Learning Systems |
| 2 | 2020 |
| Quaternion Boundary Element Method for Coupled Exterior and Interior Magnetostatic Fields | IEEE Transactions on Magnetics |
| 2018 | |
Integral representation and estimation of harmonic functions in the quaternionic half space | Mathematical Methods in the Applied Sciences |
| 1 | 2017 |
| Four-Dimensional Conformal Field Theory using Quaternions | Advances in Applied Clifford Algebras |
| 4 | 2017 |
Citations Analysis
The category
Science: Mathematics 21
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Quaternionic multi-S4 instantons in general covariant SU(2) Yang-Mills and HP(n) σ-models and was published in 1980. The most recent citation comes from a 2022 study titled The Generalized HR $q$-Derivative and Its Application to Quaternion Least Mean Square Algorithm. This article reached its peak citation in 2015, with 6 citations. It has been cited in 32 different journals, 15% of which are open access. Among related journals, the Advances in Applied Clifford Algebras cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.