How do Cracovian matrices work?

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solarblast
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Cracovians seem to be matrices. I'm looking at some right now, but how they operate is not clear. Braces are used to enclose them. jpg shows the idea.
 

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They belong to the early days of computing when tapes were used for memory. See <http://dictionary.sensagent.com/cracovian/en-en/>

Better yet. <http://adsabs.harvard.edu/full/1942AJ...50...38B>
 
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