Solution of elementary equations in the Minkowski geometric algebra of complex sets

作者: Rida T. Farouki , Chang Yong Han

DOI: 10.1007/S10444-003-2605-3

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摘要: The solution of elementary equations in the Minkowski geometric algebra complex sets is addressed. For given circular disks $\mathcal{A}$ and ℬ with radii a and b, linear equation $\mathcal{A}\otimes \mathcal{X}=\mathcal{B}$ in an unknown set $\mathcal{X}$ exists if only a≤b. When it exists, is generically region bounded by inner loop Cartesian oval (which may specialize to limacon Pascal, ellipse, line segment, or single point certain degenerate cases). Furthermore, when a

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