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XIX.—A new Algebra, by means of which Permutations can be transformed in a variety of ways, and their properties investigated

  • T. B. Sprague


In the course of investigations that I have lately been making into the transformation of permutations, I have found it convenient to employ several new symbols of operation, which combine with each other according to laws that differ materially from the ordinary algebraical laws; and it is my object in this paper to explain those laws, and give a few examples of the manner in which various propositions relating to permutations may be demonstrated by means of my symbols.



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