Commutative extended complex numbers and connected trigonometry (Q1323117)

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scientific article; zbMATH DE number 566485
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Commutative extended complex numbers and connected trigonometry
scientific article; zbMATH DE number 566485

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    Commutative extended complex numbers and connected trigonometry (English)
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    30 August 1994
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    Let \(C\) be the cyclic algebra over \(\mathbb R\) generated by \(e\) with the relation \(e^ n=-1\). The authors discuss the structure of \(C\) for different \(n\), they develop elementary functions within this algebra and construct at last solutions of the Laplace equation in \(n\) dimensions.
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    cyclic algebra
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    elementary functions
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    Laplace equation
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