Bracketopic product (InstanceTopic, 5)
From Hi.gher. Space
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The three '''bracketopic products''' are ''rss'', ''sum'' and ''max'', as defined in this page. They are mainly used in [[bracket notation]]. | The three '''bracketopic products''' are ''rss'', ''sum'' and ''max'', as defined in this page. They are mainly used in [[bracket notation]]. | ||
== RSS (Root-Sum-Square) == | == RSS (Root-Sum-Square) == | ||
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<blockquote>rss(''a'',''b'') = (''a''<sup>2</sup> + ''b''<sup>2</sup>)<sup>2<sup>-1</sup></sup></blockquote> | <blockquote>rss(''a'',''b'') = (''a''<sup>2</sup> + ''b''<sup>2</sup>)<sup>2<sup>-1</sup></sup></blockquote> | ||
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== Sum == | == Sum == | ||
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<blockquote>sum(''a'',''b'') = abs(''a'') + abs(''b'')</blockquote> | <blockquote>sum(''a'',''b'') = abs(''a'') + abs(''b'')</blockquote> | ||
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== Max == | == Max == | ||
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<blockquote>max(''a'',''b'') = {abs(''a''), abs(''a'') > abs(''b''); abs(''b''), abs(''a'') ≤ abs(''b'')}</blockquote> | <blockquote>max(''a'',''b'') = {abs(''a''), abs(''a'') > abs(''b''); abs(''b''), abs(''a'') ≤ abs(''b'')}</blockquote> | ||
Max is the ''square bracketopic product''. It will produce something rectangular in the dimensions concerned. | Max is the ''square bracketopic product''. It will produce something rectangular in the dimensions concerned. | ||
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Revision as of 21:14, 8 February 2014
The three bracketopic products are rss, sum and max, as defined in this page. They are mainly used in bracket notation.
RSS (Root-Sum-Square)
rss(a,b) = (a2 + b2)2-1
RSS is the circular bracketopic product. It will produce something rounded in the dimensions concerned.
Sum
sum(a,b) = abs(a) + abs(b)
Sum is the tegmal bracketopic product. It will produce something tegmal, i.e. diamond-shaped, in the dimensions concerned.
Max
max(a,b) = {abs(a), abs(a) > abs(b); abs(b), abs(a) ≤ abs(b)}
Max is the square bracketopic product. It will produce something rectangular in the dimensions concerned.
