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Ellips kesalahan .pdf

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Februari 2005gd2212-Hitung Perataan I<strong>Ellips</strong> <strong>kesalahan</strong> standar: sumbu-sumbu utamaTransformasi koordinat⎥⎦⎤⎢⎣⎡−⎥⎥⎦⎤⎢⎢⎣⎡⎥⎦⎤⎢⎣⎡−=⎥⎦⎤⎢⎣⎡θθθθσσσσθθθθσσcossinsincoscossinsincos002222yxyxyxvu( ) ( )θθσθθσσθσθθσθσσθσθθσθσσ22222222222222sincoscossin0sincossin2cossincossin2cos−+−=+−=++=xyxyyxyxvyxyxu( ) θθ 2cos;2sin21222tan 2yxxyσσσθ−=( )( )2122222222122222224242⎥⎥⎦⎤⎢⎢⎣⎡+−−+=⎥⎥⎦⎤⎢⎢⎣⎡+−++=xyxyyxyxvyxyxuσσσσσσσσσσσσσσEliminasi θMenggunakan dalil perambatan variansi-kovariansi

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