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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
Replace
Replace[expr, rules]
applies a rule or list of rules in an attempt to transform the entire expression expr.
Replace[expr, rules, levelspec]
applies rules to parts of expr specified by levelspec.
Details and OptionsDetails and Options
- The rules must be of the form
or
. - A list of rules can be given. The rules are tried in order. The result of the first one that applies is returned. If none of the rules apply, the original expr is returned.
- If the rules are given in nested lists, Replace is effectively mapped onto the inner lists. Thus Replace[expr, {{r11, r12}, {r21, ...}, ...}] is equivalent to
. - Delayed rules defined with
can contain
conditions. - Replace uses standard level specifications:
-
n levels
through nInfinity levels
through Infinity{n} level n only {n1,n2} levels
through 
- The default value for levelspec in Replace is
, corresponding to the whole expression. - A positive level n consists of all parts of expr specified by n indices.
- A negative level -n consists of all parts of expr with depth n.
- Level
consists of numbers, symbols, and other objects that do not have subparts. - With the option setting Heads->True, Replace includes heads of expressions, and their parts.
- Replacements are performed to parts specified by levelspec even when those parts have Hold or related wrappers.
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