Bracket notation (InstanceTopic, 3)
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- | '''Bracket notation''' uses pairs of brackets [], parentheses (), and chevrons <> to indicate the three [[bracketopic product]]s sum, rss, and max respectively. This defines the [[implicit equation]] of a shape as ''f''(''x'') = ''k'', where to find the function ''f'', you replace each pair of brackets with the relevant function. For example, the implicit equation for the [[crind]], which has bracket notation ([xy]z), is rss(max(''x'',''y''),''z'') = ''k''. | + | '''Bracket notation''' uses pairs of brackets [], parentheses (), and chevrons <> to indicate the three [[bracketopic product]]s sum, rss, and max respectively. This defines the [[implicit equation]] of a [[shape]] as ''f''(''x'', ...) = ''k'', where to find the function ''f'', you replace each pair of brackets with the relevant function, and ''k'' is a constant (usually 1). For example, the implicit equation for the [[crind]], which has bracket notation ([xy]z), is rss(max(''x'',''y''),''z'') = ''k''. |
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+ | Note that bracket notation can also be read as [[SSC notation]], in which case it remains valid and still represents the same shape. | ||
[[Category:Geometry]] | [[Category:Geometry]] |
Revision as of 09:08, 15 March 2008
Bracket notation uses pairs of brackets [], parentheses (), and chevrons <> to indicate the three bracketopic products sum, rss, and max respectively. This defines the implicit equation of a shape as f(x, ...) = k, where to find the function f, you replace each pair of brackets with the relevant function, and k is a constant (usually 1). For example, the implicit equation for the crind, which has bracket notation ([xy]z), is rss(max(x,y),z) = k.
Note that bracket notation can also be read as SSC notation, in which case it remains valid and still represents the same shape.