Symbolic method (combinatorics): Difference between revisions

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===Boxed product===

In labelled structures, the min-boxed product <math>\mathcal{A}_{min} = \mathcal{B}^{\square}\star \mathcal{C}</math> is a variation of the origionaloriginal product which requires the element of <math>\mathcal{B}</math> in the product with the minimal label. Similarly, we can also define a max-boxed product, denoted by <math>\mathcal{A}_{max} = \mathcal{B}^{\blacksquare}\star \mathcal{C}</math>, by the same manner. Then we have,

:<math>A_{min}(z)=A_{max}(z)=\int^{z}_{0}B'(t)C(t)dt.</math>

or equivalently,