Definition of Algorethm	
	    			    		
		    		{ Al"go*rism (&?;), Al"go*rithm (&?;), }
n. [OE. algorism, algrim, augrim,
OF. algorisme, F. algorithme (cf. Sp. algoritmo, OSp.
alguarismo, LL. algorismus), fr. the Ar. al-
Khowārezmī of Khowārezm, the modern Khiwa, surname of
Abu Ja'far Mohammed ben Musā, author of a work on arithmetic early in
the 9th century, which was translated into Latin, such books bearing the
name algorismus. The spelling with th is due to a supposed
connection with Gr. &?; number.] 1. The art of
calculating by nine figures and zero. 
2. The art of calculating with any species of
notation; as, the algorithms of fractions, proportions, surds,
etc. 
  
		    		 - Webster's Unabridged Dictionary (1913) 
		    		 
		    			    		
		    		-  Any well-defined procedure describing how to carry out a particular task
 
      1990: Cormen, Leiserson, and Rivest, Introduction to Algorithms: page 1.  Cambridge, MA, The MIT Press, 1999 (23rd printing) - Informally, an algorithm is any well-defined computational procedure that takes some value, or set of values, as input and produces some value, or set of values, as output.  An algorithm is thus a sequence of computational steps that transform the input into the output. 
 
  
		    		 - The Nuttall Encyclopedia 
		    		 
		    		    			
	    			 
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