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2211.02314.S6.Ex23.m1.15 - MaRDI portal
Statements
𝐬 k ( c ) = ∑ m ∈ I c s k ( m ) , 𝐚 k , l ( c ) = ∑ m ∈ I c a k , l ( m ) , 𝐛 k , l ( c ) = ∑ m ∈ I c b k , l ( m ) formulae-sequence subscript superscript 𝐬 𝑐 𝑘 subscript 𝑚 subscript 𝐼 𝑐 superscript subscript 𝑠 𝑘 𝑚 formulae-sequence subscript superscript 𝐚 𝑐 𝑘 𝑙
subscript 𝑚 subscript 𝐼 𝑐 superscript subscript 𝑎 𝑘 𝑙
𝑚 subscript superscript 𝐛 𝑐 𝑘 𝑙
subscript 𝑚 subscript 𝐼 𝑐 superscript subscript 𝑏 𝑘 𝑙
𝑚 \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