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MathematicalFunctions

  

Sequences

  

The Sequences package for handling symbolic sequences

 

Description

List of The Sequences Package Commands

Compatibility

Description

• 

Sequences is a package of commands for handling symbolic sequences, that is, sequences where the number of operands is unknown. Symbolic sequences enter in various formulations in mathematics. Among the most typical cases of symbolic sequences, there are:

  

1. A sequence of numbers - say from n to m - frequently displayed as

n,...,m

  

2. A sequence of one object, say a, repeated say p times, frequently displayed as

a,...,a

  

3. A more general sequence, as in 1., but of different objects and not necessarily numbers, frequently displayed as

an,...,am

  

or likewise a sequence of functions fn,...,fm.

In all these cases, none of n, m, or p are known: they are just symbols, or algebraic expressions, representing integer values. These most typical cases of symbolic sequences have been implemented in Maple using the $ operator. Cases 1., 2. and 3. above are respectively entered as $(n .. m), a $ p and a[i] $ (i = n .. m). To that implementation, the Sequences package adds two things: the typesetting of these three kinds of symbolic sequences as shown in the enumeration above, and commands to perform algebraic operations on them.

List of The Sequences Package Commands

Add

Differentiate

Map

Multiply

Nops

 

 

 

Brief description of each command

• 

Add adds the elements of a sequence or adds to the elements of a sequence.

• 

Differentiate differentiates the elements of a sequence.

• 

Map maps an operation to the elements of a sequence.

• 

Multiply multiplies the elements of a sequence or multiplies to the elements of a sequence.

• 

Nops counts the elements of a sequence.

Compatibility

• 

The MathematicalFunctions[Sequences] package was introduced in Maple 2016.

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For more information on Maple 2016 changes, see Updates in Maple 2016.

See Also

Add

Differentiate

Map

MathematicalFunctions

Multiply

Nops