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- W2025628052 abstract "We study the problem of approximating a rotation of the plane, α :R 2 $ rightarrow $ R 2 , α (x,y)=(x cos θ + y sin θ , y cos θ - x sin θ ), by a bijection β :Z 2 $rightarrow$ Z 2 . We show by an explicit construction that β may be chosen so that $ {rm sup}_{z in Z^2} |alpha (z)-beta (z)| leq ({1}/{sqrt{2}}) (({1+r})/{sqrt{1+r^2}}) $ , where r= tan ( θ /2). The scheme is based on those invented and patented by the second author in 1994." @default.
- W2025628052 created "2016-06-24" @default.
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- W2025628052 date "1999-01-01" @default.
- W2025628052 modified "2023-09-27" @default.
- W2025628052 title "Approximating Planar Rotations" @default.
- W2025628052 cites W2396409927 @default.
- W2025628052 doi "https://doi.org/10.1007/pl00009409" @default.
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