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MyWikiBiz, Author Your Legacy — Thursday November 21, 2024
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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:
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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>x \in X</math> is written <math>(\mathfrak{L}^\mathfrak{W})_x</math> and computed as follows:
    
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| height="60" | <math>(\mathfrak{L}^\mathfrak{W})_u ~=~ \prod_{x \in X} \mathfrak{L}_{ux}^{\mathfrak{W}_x}</math>
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| height="60" | <math>(\mathfrak{L}^\mathfrak{W})_x ~=~ \prod_{p \in X} \mathfrak{L}_{xp}^{\mathfrak{W}_p}</math>
 
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