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Recently Referred Formulae

/langle y, x /rangle = /sum_{k=1}^n y_{k} /overline{x_{k}} = /overline{/sum_{k=1}^n /overline{y_{k}} x_{k}} = /overline{/sum_{k=1}^n x_{k} /overline{y_{k}} } = /overline{/langle x, y /rangle}
/langle /alpha x, y /rangle = /sum_{k=1}^n /alpha x_{k} /overline{y_{k}} = /alpha /sum_{k=1}^n x_{k} /overline{y_{k}} = /alpha /langle x, y /rangle
{/rm d}y(t) &=& /frac{/partial g}{/partial t}{/rm d}t + /frac{/partial g}{/partial x}{/rm d}x + /frac{1}{2}/frac{/partial^2 g}{/partial x^2}({/rm d}x)^2
/mathit{PSNR}= 10 /cdot /log_{10} /left( /frac{/mathit{MAX}_I^2}{/mathit{MSE}} /right)/= 20 /cdot /log_{10} /left( /frac{/mathit{MAX}_I}{/sqrt{/mathit{MSE}}} /right)
rmse=/sqrt{mse}