S-expression: Difference between revisions
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== {{nowrap|S''k''*S(''k'' + 1)*...*S(''k'' + ''n'' − 1)}} (1/n-square-particulars) == | == {{nowrap|S''k''*S(''k'' + 1)*...*S(''k'' + ''n'' − 1)}} (1/''n''-square-particulars) == | ||
=== Motivation === | === Motivation === | ||
1/''n''-square-particulars continue the pattern (1/2-square-particulars, 1/3-square-particulars, ...) to a comma/interval whose S-expression is can be written in the form of a product of ''n'' consecutive square-particulars (including S''k'' but not including {{nowrap|S(''k'' + ''n'')}}) and which can therefore be written as the ratio between the two superparticulars {{sfrac|''k''|''k'' − 1}} and {{sfrac|''k'' + ''n''|''k'' + ''n'' − 1}}. | 1/''n''-square-particulars continue the pattern (1/2-square-particulars, 1/3-square-particulars, ...) to a comma/interval whose S-expression is can be written in the form of a product of ''n'' consecutive square-particulars (including S''k'' but not including {{nowrap|S(''k'' + ''n'')}}) and which can therefore be written as the ratio between the two superparticulars {{sfrac|''k''|''k'' − 1}} and {{sfrac|''k'' + ''n''|''k'' + ''n'' − 1}}. | ||