MyWikiBiz, Author Your Legacy — Thursday November 21, 2024
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, 16:48, 7 May 2009
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− | The fact that <math>\mathit{l}^\mathrm{w}\!</math> denotes the elements of a subset of <math>X\!</math> means that the matrix <math>\mathfrak{L}^\mathfrak{W}</math> is a 1-dimensional array of coefficients in <math>\mathbb{B}</math> that is indexed by the elements of <math>X.\!</math> The value of the matrix <math>\mathfrak{L}^\mathfrak{W}</math> at the index <math>u \in X</math> is written <math>(\mathfrak{L}^\mathfrak{W})_u</math> and computed as follows: | + | The fact that <math>\mathit{l}^\mathrm{w}\!</math> denotes the elements of a subset of <math>X\!</math> means that the matrix <math>\mathfrak{L}^\mathfrak{W}</math> is a 1-dimensional array of coefficients in <math>\mathbb{B}</math> that is indexed by the elements of <math>X.\!</math> The value of the matrix <math>\mathfrak{L}^\mathfrak{W}</math> at the index <math>x \in X</math> is written <math>(\mathfrak{L}^\mathfrak{W})_x</math> and computed as follows: |
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| {| align="center" cellspacing="6" width="90%" | | {| align="center" cellspacing="6" width="90%" |
− | | height="60" | <math>(\mathfrak{L}^\mathfrak{W})_u ~=~ \prod_{x \in X} \mathfrak{L}_{ux}^{\mathfrak{W}_x}</math> | + | | height="60" | <math>(\mathfrak{L}^\mathfrak{W})_x ~=~ \prod_{p \in X} \mathfrak{L}_{xp}^{\mathfrak{W}_p}</math> |
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