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2211.02314.S6.Ex23.m1.15 - MaRDI portal

2211.02314.S6.Ex23.m1.15 (Q5165403)

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mathematical formula
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2211.02314.S6.Ex23.m1.15
mathematical formula

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    𝐬k(c)=mIcsk(m),𝐚k,l(c)=mIcak,l(m),𝐛k,l(c)=mIcbk,l(m)formulae-sequencesubscriptsuperscript𝐬𝑐𝑘subscript𝑚subscript𝐼𝑐superscriptsubscript𝑠𝑘𝑚formulae-sequencesubscriptsuperscript𝐚𝑐𝑘𝑙subscript𝑚subscript𝐼𝑐superscriptsubscript𝑎𝑘𝑙𝑚subscriptsuperscript𝐛𝑐𝑘𝑙subscript𝑚subscript𝐼𝑐superscriptsubscript𝑏𝑘𝑙𝑚\mathbf{s}^{(c)}_{k}=\sum_{m\in I_{c}}s_{k}^{(m)},\qquad\mathbf{a}^{(c)}_{k,l}=\sum_{m\in I_{c}}a_{k,l}^{(m)},\qquad\mathbf{b}^{(c)}_{k,l}=\sum_{m\in I_{c}}b_{k,l}^{(m)}bold_s start_POSTSUPERSCRIPT ( italic_c ) end_POSTSUPERSCRIPT start_POSTSUBSCRIPT italic_k end_POSTSUBSCRIPT = ∑ start_POSTSUBSCRIPT italic_m ∈ italic_I start_POSTSUBSCRIPT italic_c end_POSTSUBSCRIPT end_POSTSUBSCRIPT italic_s start_POSTSUBSCRIPT italic_k end_POSTSUBSCRIPT start_POSTSUPERSCRIPT ( italic_m ) end_POSTSUPERSCRIPT , bold_a start_POSTSUPERSCRIPT ( italic_c ) end_POSTSUPERSCRIPT start_POSTSUBSCRIPT italic_k , italic_l end_POSTSUBSCRIPT = ∑ start_POSTSUBSCRIPT italic_m ∈ italic_I start_POSTSUBSCRIPT italic_c end_POSTSUBSCRIPT end_POSTSUBSCRIPT italic_a start_POSTSUBSCRIPT italic_k , italic_l end_POSTSUBSCRIPT start_POSTSUPERSCRIPT ( italic_m ) end_POSTSUPERSCRIPT , bold_b start_POSTSUPERSCRIPT ( italic_c ) end_POSTSUPERSCRIPT start_POSTSUBSCRIPT italic_k , italic_l end_POSTSUBSCRIPT = ∑ start_POSTSUBSCRIPT italic_m ∈ italic_I start_POSTSUBSCRIPT italic_c end_POSTSUBSCRIPT end_POSTSUBSCRIPT italic_b start_POSTSUBSCRIPT italic_k , italic_l end_POSTSUBSCRIPT start_POSTSUPERSCRIPT ( italic_m ) end_POSTSUPERSCRIPT
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