Reduction rules for MathObject Formulas

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Revision as of 06:11, 17 June 2008 by Gage (talk | contribs) (List of MathObjects reduction rules moved to List of parser reduction rules for MathObject Formulas: Reduction really involves the parser rules)
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MathObjects reduces mathematical expressions according to a set of reduction rules. These control which expressions are reduced. Reductions can be turned off in two ways:

For all subsequent reduce operations in the problem:

Context()->reduction->set('x/1'=>0);

For a single reduction:

$f->reduce('x/1'=>0);


Rule Reduction
0><x 0
0-x -x
0/x 0
0.x 0
0*x 0
0+x x
1^x 1
1*x x
-a-bi -(a+bi)
fn*x x*fn
-n If the number is negative, factor it out and try using that in the reductions of the parent objects.
V_n Select the nth item of V.
x^0 1
x><0 0
x-0 x
x.0 0
x*0 0
x+0 x
-(-x) x
+x x
x^(-1) 1/x
x/1 x
x*1 x
-x=n x=-n
x*n n*x
-x=-y x=y
(-x)><y x><-y
(-x)-y -(x+y)
(-x)/y -(x/y)
(-x).y -(x.y)
(-x)*y -(x*y)
(-x)+y y-x
x><(-y) -(x><y)
x-(-y) x+y
x/(-y) -(x/y)
x.(-y) -(x.y)
x*(-y) -(x*y)
x+(-y) x-y