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mean := proc( a :: indexable )
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local i;
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Normalizer( add( i, i in a ) / numelems( a ) )
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end proc:
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> mean( { 1/2, 2/3, 3/4, 4/5, 5/6 } ); # set
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71
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---
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100
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> mean( [ a, 2, c, 2.3, e ] ); # list
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0.8600000000 + a/5 + c/5 + e/5
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> mean( Array( [ 1, sin( s ), 3, exp( I*t ), 5 ] ) ); # array
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9/5 + 1/5 sin(s) + 1/5 exp(t I)
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> mean( [ sin(s)^2, cos(s)^2 ] );
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2 2
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1/2 sin(s) + 1/2 cos(s)
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> Normalizer := simplify: # use a stronger normalizer than the default
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> mean( [ sin(s)^2, cos(s)^2 ] );
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1/2
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> mean([]); # empty argument causes an exception to be raised.
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Error, (in mean) numeric exception: division by zero
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mean := () -> Normalizer( `+`( args ) / nargs ):
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> mean( 1, 2, 3, 4, 5 );
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3
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> mean( a + b, b + c, c + d, d + e, e + a );
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2 a 2 b 2 c 2 d 2 e
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--- + --- + --- + --- + ---
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5 5 5 5 5
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> mean(); # again, an exception is raised
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Error, (in mean) numeric exception: division by zero
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mean := ( s :: seq(algebraic) ) -> Normalizer( `+`( args ) / nargs ):
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