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	analytic O 
 | 
					
	function O 
 | 
					
	is O 
 | 
					
	the O 
 | 
					
	branch O 
 | 
					
	of O 
 | 
					
	mathematics O 
 | 
					
	dealing O 
 | 
					
	with O 
 | 
					
	continuous B-Math 
 | 
					
	functions I-Math 
 | 
					
	limits I-Math 
 | 
					
	and O 
 | 
					
	related O 
 | 
					
	theories O 
 | 
					
	such O 
 | 
					
	as O 
 | 
					
	differentiation O 
 | 
					
	integration O 
 | 
					
	measure O 
 | 
					
	infinite O 
 | 
					
	sequences O 
 | 
					
	series O 
 | 
					
	and O 
 | 
					
	analytic O 
 | 
					
	function O 
 | 
					
	and O 
 | 
					
	related O 
 | 
					
	theories O 
 | 
					
	such O 
 | 
					
	as O 
 | 
					
	differentiation O 
 | 
					
	integration O 
 | 
					
	measure O 
 | 
					
	infinite O 
 | 
					
	sequences O 
 | 
					
	series O 
 | 
					
	and O 
 | 
					
	analytic B-Math 
 | 
					
	functions I-Math 
 | 
					
	vectors O 
 | 
					
	can O 
 | 
					
	be O 
 | 
					
	added O 
 | 
					
	to O 
 | 
					
	other O 
 | 
					
	vectors O 
 | 
					
	according O 
 | 
					
	to O 
 | 
					
	vector B-Math 
 | 
					
	algebra I-Math 
 | 
					
	vectors B-Math 
 | 
					
	can O 
 | 
					
	be O 
 | 
					
	added O 
 | 
					
	to O 
 | 
					
	other O 
 | 
					
	vectors O 
 | 
					
	according O 
 | 
					
	to O 
 | 
					
	vector O 
 | 
					
	algebr O 
 | 
					
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