Table 1.

Extended n-ary similarity indices

Additive indices
Label	Type	Notation	Name	Equation
eAC	eAC_1	eACw	extended Austin-Colwell	$s_{eAC\left(1,s,\_,w,d\right)}=\frac{2}{\pi }\text{arcsin}\sqrt{\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_{0-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}}$
		eACnw		$s_{eAC\left(1,s,\_,d\right)}=\frac{2}{\pi }\text{arcsin}\sqrt{\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_{0-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{C}_{n(k)}+{\sum }_d{C}_{n(k)}}}$
eBUB	eBUB_1	eBUBw	extended Baroni-Urbani-Buser	$s_{eBUB\left(1,s,\_,w,d\right)}=\frac{\sqrt{\left[{\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right]\left[{\sum }_{0-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right]}+{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{\left\{\begin{array}{c}\sqrt{\left[{\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n\left(k\right)}\right),C_{n\left(k\right)}\right]\left[{\sum }_{0-s},f_s,\left({\mathrm{\Delta }}_{n\left(k\right)}\right),C_{n\left(k\right)}\right]}+\\ {\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n\left(k\right)}\right)C_{n\left(k\right)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n\left(k\right)}\right)C_{n\left(k\right)}\end{array}\right\}}$
		eBUBnw		$s_{eBUB\left(1,s,\_,d\right)}=\frac{\sqrt{\left[{\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right]\left[{\sum }_{0-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right]}+{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{\left\{\sqrt{\left[{\sum }_{1-s},C_{n\left(k\right)}\right]\left[{\sum }_{0-s},C_{n\left(k\right)}\right]},+,{\sum }_{1-s},C_{n\left(k\right)},+,{\sum }_d,C_{n\left(k\right)}\right\}}$
eCT1	eCT1_1	eCT1w	extended Consoni-Todeschini (1)	$s_{eCT1\left(1,s,\_,w,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},+,{\sum }_{0-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_s,f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},+,{\sum }_d,f_d,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}$
		eCT1nw		$s_{eCT1\left(1,s,\_,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},+,{\sum }_{0-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_s,C_{n(k)},+,{\sum }_d,C_{n(k)}\right)}$
eCT2	eCT2_1	eCT2w	extended Consoni-Todeschini (2)	$s_{eCT2\left(1,s,\_,w,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_s,f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},+,{\sum }_d,f_d,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)-\text{ln}\left(1,+,{\sum }_d,f_d,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_s,f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},+,{\sum }_d,f_d,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}$
		eCT2nw		$s_{eCT2\left(1,s,\_,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_s,f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},+,{\sum }_d,f_d,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)-\text{ln}\left(1,+,{\sum }_d,f_d,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_s,C_{n(k)},+,{\sum }_d,C_{n(k)}\right)}$
eFai	eFai_1	eFaiw	extended Faith	$s_{eFai\left(1,s,\_,w,d\right)}=\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+0.5{\sum }_{0-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eFainw		$s_{eFai\left(1,s,\_,d\right)}=\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+0.5{\sum }_{0-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$
eGK	eGK_1	eGKw	extended Goodman–Kruskal	$s_{eGK\left(1,s,\_,w,d\right)}=\frac{2\text{min}\left({\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},,,{\sum }_{0-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)-{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2\text{min}\left({\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},,,{\sum }_{0-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eGKnw		$s_{eGK\left(1,s,\_,d\right)}=\frac{2\text{min}\left({\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},,,{\sum }_{0-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)-{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2\text{min}\left({\sum }_{1-s},C_{n(k)},,,{\sum }_{0-s},C_{n(k)}\right)+{\sum }_d{C}_{n(k)}}$
eHD	eHD_1	eHDw	extended Hawkins-Dotson	$s_{eHD\left(1,s,\_,w,d\right)}=\frac{1}{2}\left(\begin{array}{c}\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}+\\ \frac{{\sum }_{0-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_{0-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}\end{array}\right)$
		eHDnw		$s_{eHD\left(1,s,\_,d\right)}=\frac{1}{2}\left(\begin{array}{c}\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_{1-s}{C}_{n(k)}+{\sum }_d{C}_{n(k)}}+\\ \frac{{\sum }_{0-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_{0-s}{C}_{n(k)}+{\sum }_d{C}_{n(k)}}\end{array}\right)$
eRT	eRT_1	eRTw	extended Rogers-Tanimoto	$s_{eRT\left(1,s,\_,w,d\right)}=\frac{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+2{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eRTnw		$s_{eRT\left(1,s,\_,d\right)}=\frac{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{C}_{n(k)}+2{\sum }_d{C}_{n(k)}}$
eRG	eRG_1	eRGw	extended Rogot-Goldberg	$s_{eRG\left(1,s,\_,w,d\right)}=\begin{array}{c}\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}+\\ \frac{{\sum }_{0-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2{\sum }_{0-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}\end{array}$
		eRGnw		$s_{eRG\left(1,s,\_,d\right)}=\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2{\sum }_{1-s}{C}_{n(k)}+{\sum }_d{C}_{n(k)}}+\frac{{\sum }_{0-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2{\sum }_{0-s}{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$
eSM	eSM_1	eSMw	extended Simple matching, Sokal-Michener	$s_{eSM\left(1,s,\_,w,d\right)}=\frac{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eSMnw		$s_{eSM\left(1,s,\_,d\right)}=\frac{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$
eSS2	eSS2_1	eSS2w	extended Sokal-Sneath (2)	$s_{eSS2\left(1,s,\_,w,d\right)}=\frac{2{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eSS2nw		$s_{eSS2\left(1,s,\_,w,d\right)}=\frac{2{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2{\sum }_s{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$

Asymmetric indices
Label	Type	Notation	Name	Equation
eCT3	eCT3_1	eCT3w	extended Consoni-Todeschini (3)	$s_{eCT3\left(1,s,\_,w,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_s,f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},+,{\sum }_d,f_d,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}$
		eCT3nw		$s_{eCT3\left(1,s,\_,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_s,C_{n(k)},+,{\sum }_d,C_{n(k)}\right)}$
	eCT3_0	eCT30w		$s_{eCT3\left(s,\_,w,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_s,f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_s,f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},+,{\sum }_d,f_d,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}$
		eCT30nw		$s_{eCT3\left(s,\_,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_s,f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_s,C_{n(k)},+,{\sum }_d,C_{n(k)}\right)}$
eCT4	eCT4_1	eCT4w	extended Consoni-Todeschini (4)	$s_{eCT4\left(1,s,\_,w,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},+,{\sum }_d,f_d,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}$
		eCT4nw		$s_{eCT4\left(1,s,\_,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_{1-s},f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_{1-s},C_{n(k)},+,{\sum }_d,C_{n(k)}\right)}$
	eCT4_0	eCT40w		$s_{eCT4\left(s,\_,w,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_s,f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_s,f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)},+,{\sum }_d,f_d,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}$
		eCT4nw		$s_{eCT4\left(s,\_,d\right)}=\frac{\text{ln}\left(1,+,{\sum }_s,f_s,\left({\mathrm{\Delta }}_{n(k)}\right),C_{n(k)}\right)}{\text{ln}\left(1,+,{\sum }_s,C_{n(k)},+,{\sum }_d,C_{n(k)}\right)}$
eGle	eGle_1	eGlew	extended Gleason	$s_{eGle\left(1,s,\_,w,d\right)}=\frac{2{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eGlenw		$s_{eGle\left(1,s,\_,d\right)}=\frac{2{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2{\sum }_{1-s}{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$
	eGle_0	eGle0w		$s_{eGle\left(s,\_,w,d\right)}=\frac{2{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eGle0nw		$s_{eGle\left(s,\_,d\right)}=\frac{2{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{2{\sum }_s{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$
eJa	eJa_1	eJaw	extended Jaccard	$s_{eJa\left(1,s,\_,w,d\right)}=\frac{3{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{3{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eJanw		$s_{eJa\left(1,s,\_,d\right)}=\frac{3{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{3{\sum }_{1-s}{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$
	eJa_0	eJa0w		$s_{eJa\left(s,\_,w,d\right)}=\frac{3{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{3{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eJa0nw		$s_{eJa\left(s,\_,d\right)}=\frac{3{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{3{\sum }_s{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$
eRR	eRR_1	eRRw	extended Russel-Rao	$s_{eRR\left(1,s,\_,w,d\right)}=\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eRRnw		$s_{eRR\left(1,s,\_,d\right)}=\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$
	eRR_0	eRR0w		$s_{eRR\left(s,\_,w,d\right)}=\frac{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eRR0nw		$s_{eRR\left(s,\_,d\right)}=\frac{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$
eSS1	eSS1_0	eSSw	extended Sokal-Sneath (1)	$s_{eSS1\left(1,s,\_,w,d\right)}=\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+2{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eSSnw		$s_{eSS1\left(1,s,\_,d\right)}=\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_{1-s}{C}_{n(k)}+2{\sum }_d{C}_{n(k)}}$
	eSS1_1	eSS0w		$s_{eSS1\left(s,\_,w,d\right)}=\frac{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+2{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eSS0nw		$s_{eSS1\left(s,\_,d\right)}=\frac{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{C}_{n(k)}+2{\sum }_d{C}_{n(k)}}$
eJT	eJT_1	eJTw	extended Jaccard-Tanimoto	$s_{eJT\left(1,s,\_,w,d\right)}=\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eJTnw		$s_{eJT\left(1,s,\_,d\right)}=\frac{{\sum }_{1-s}{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_{1-s}{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$
	eJT_0	eJT0w		$s_{eJT\left(s,\_,w,d\right)}=\frac{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}+{\sum }_d{f}_d\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}$
		eJT0nw		$s_{eJT\left(s,\_,d\right)}=\frac{{\sum }_s{f}_s\left({\mathrm{\Delta }}_{n(k)}\right)C_{n(k)}}{{\sum }_s{C}_{n(k)}+{\sum }_d{C}_{n(k)}}$