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\[\Delta E_{76}=\sqrt{\left(\Delta L^{*}\right)^{2}+\left(\Delta a^{*}\right)^{2}+\left(\Delta b^{*}\right)^{2}}\]
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\[C_{\text{lin}}=\begin{cases}C/12.92 & C\le 0.04045\\[4pt]\left(\dfrac{C+0.055}{1.055}\right)^{2.4} & C>0.04045\end{cases}\]
\[\begin{pmatrix}X\\Y\\Z\end{pmatrix}=M\begin{pmatrix}R_{\text{lin}}\\G_{\text{lin}}\\B_{\text{lin}}\end{pmatrix},\qquad f(t)=\begin{cases}\sqrt[3]{t} & t>\epsilon\\[4pt]\dfrac{\kappa t+16}{116} & t\le\epsilon\end{cases}\]
\[L^{*}=116\,f\!\left(\tfrac{Y}{Y_n}\right)-16,\quad a^{*}=500\left[f\!\left(\tfrac{X}{X_n}\right)-f\!\left(\tfrac{Y}{Y_n}\right)\right],\quad b^{*}=200\left[f\!\left(\tfrac{Y}{Y_n}\right)-f\!\left(\tfrac{Z}{Z_n}\right)\right]\]
\(\epsilon=\tfrac{216}{24389}\approx 0.008856,\ \ \kappa=\tfrac{24389}{27}\approx 903.3\). {{ t.apxColorWhite }}
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\[C_i^{*}=\sqrt{a_i^{*2}+b_i^{*2}},\quad \bar C=\tfrac{1}{2}(C_1^{*}+C_2^{*}),\quad G=\tfrac{1}{2}\left(1-\sqrt{\dfrac{\bar C^{7}}{\bar C^{7}+25^{7}}}\right)\]
\[a_i'=(1+G)\,a_i^{*},\quad C_i'=\sqrt{a_i'^{2}+b_i^{*2}},\quad h_i'=\operatorname{atan2}(b_i^{*},a_i')\]
\[\Delta L'=L_2^{*}-L_1^{*},\quad \Delta C'=C_2'-C_1',\quad \Delta H'=2\sqrt{C_1'C_2'}\,\sin\!\left(\tfrac{\Delta h'}{2}\right)\]
\[T=1-0.17\cos(\bar h'-30^\circ)+0.24\cos(2\bar h')+0.32\cos(3\bar h'+6^\circ)-0.20\cos(4\bar h'-63^\circ)\]
\[S_L=1+\dfrac{0.015(\bar L'-50)^{2}}{\sqrt{20+(\bar L'-50)^{2}}},\quad S_C=1+0.045\,\bar C',\quad S_H=1+0.015\,\bar C'\,T\]
\[\Delta\theta=30^\circ\exp\!\left[-\left(\tfrac{\bar h'-275^\circ}{25^\circ}\right)^{2}\right],\quad R_C=2\sqrt{\dfrac{\bar C'^{7}}{\bar C'^{7}+25^{7}}},\quad R_T=-R_C\sin(2\,\Delta\theta)\]
\[\Delta E_{00}=\sqrt{\left(\tfrac{\Delta L'}{S_L}\right)^{2}+\left(\tfrac{\Delta C'}{S_C}\right)^{2}+\left(\tfrac{\Delta H'}{S_H}\right)^{2}+R_T\,\tfrac{\Delta C'}{S_C}\,\tfrac{\Delta H'}{S_H}}\]