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" Update Step\n",
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" \n",
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"$$\\begin{aligned}\n",
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"\\mathbf{K}_k &= \\mathbf{P}_k\\mathbf{F} \\hspace{2 mm}\\mathbf{P}^{-1} \\\\\n",
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"\\mathbf{K}_k &= \\mathbf{P}_k\\mathbf{F}^\\mathsf{T} \\hspace{2 mm}\\mathbf{P}^{-1} \\\\\n",
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"\\mathbf{x}_k &= \\mathbf{x}_k + \\mathbf{K}_k(\\mathbf{x}_{x+1} - \\mathbf{FX}_k) \\\\\n",
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"\\mathbf{P}_k &= \\mathbf{P}_k + \\mathbf{K}_k(\\mathbf{P}_{K+1} - \\mathbf{P})\\mathbf{K}_k^\\mathsf{T}\n",
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"\\end{aligned}$$\n",
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