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When the substitutions are specified by an equation, or a list or set of equations, every occurrence of the left-hand side of an equation that appears in expr is replaced by the right-hand side of the equation.

When the substitutions are specified as a table, every occurrence of an index of the table that appears in expr is replaced by the corresponding entry of the table. If there are multiple substitutions for the same expression within a list of substitutions, the first one is used. If the substitutions are specified by a set, the one that would appear first if the set were printed is used. It is not possible for a table to contain multiple substitutions for the same expression. If a list, set, or table contains substitutions for both an expression and also for subexpressions thereof, the former takes precedence when the expression is encountered in expr.

Note that only subexpressions in expr that correspond to operands ops of a Maple object are matched. This is termed "syntactic substitution". A more powerful substitution is available using the algsubs command. The inplace option only applies when substituting into a table or rtable such as Array , Matrix , or Vector with no indexing function. When inplace is specified, the input table or rtable is updated in-place. The result is the updated original expr table or rtable, rather than a copy.

The action of substitution is not followed by evaluation by default. There are two ways of achieving a full evaluation:. The eval command performs a full evaluation but takes care to delay substitutions which are not mathematically safe, as shown in the examples later.

The eval command will not descend into any procedures appearing in the expression being evaluated. The eval option to subs also performs a full evaluation while keeping the semantics the same as for subs. This option should be used with care. Use Maple to check yours steps, so you can identify the source of the mistake in your derivation quickly, and avoid repeating time-consuming calculations that are actually correct.

Optimize your study time. Use Maple to check your answers, and if you are getting all your practice questions right, you can safely move on to the next thing. Grasp concepts faster. Maple has large number of interactive tools designed specially to help students visualize and explore mathematical concepts more effectively than you can learn from a static textbook or blackboard.

Visualize problems, solutions, and concepts in seconds , without the tedious work of constructing these plots by hand or in the case of animations, the impossibility, unless maybe you use a flip book? Get answers instantly. Sometimes you need the answer to a problem, and neither you nor your instructors care how you get it. Maple gives you answers to even complex problems instantly. Save your eraser.

With Maple, you can try out different approaches to your problem easily, so you can make sure your will approach works before you pick up your pencil.

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