Difference between revisions of "Product Command"

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(Product is included in the Algebra Commands category, not in the List one even it works with lists of numbers or list of expressions. There are sintaxis only available in CAS View but all of them are allowed,)
(command syntax: changed [ ] into ( ))
 
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<noinclude>{{Manual Page|version=4.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}}
{{command|cas=true|algebra}}
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;Product( &lt;List of Raw Data> )
;Product[ <List of Numbers> ]
 
 
:Calculates the product of all numbers in the list.
 
:Calculates the product of all numbers in the list.
;Product[ <List of Numbers>, <Number of Elements>]:Calculates the product of the first ''n'' list elements.  
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:{{example|1=<div><code><nowiki>Product({2, 5, 8})</nowiki></code> yields ''80''.</div>}}
:{{example|1=<div><code><nowiki>Product[{1, 2, 3, 4}, 3]</nowiki></code> yields ''6''.</div>}}
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;Product( &lt;List of Numbers>, <Number of Elements> )
;Product[ <List of Numbers>, <List of Frequencies> ]:Calculates the product of all elements in the list raised to the value given in the ''list of frequencies'' for each one of them-
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:Calculates the product of the first ''n'' elements in the list.  
:{{examples|1=<br><code><nowiki>Product[ {20, 40, 50, 60}, {4, 3, 2, 1} ]</nowiki></code> yields ''1536000000000000''<br><code><nowiki>Product[ {sqrt(2), cbrt(3), sqrt(5), cbrt(-7)}, {4, 3, 2, 3} ]</nowiki></code> yields ''-420''
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:{{example|1=<div><code><nowiki>Product({1, 2, 3, 4}, 3)</nowiki></code> yields ''6''.</div>}}
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;Product( &lt;List of Numbers>, &lt;List of Frequencies> )
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:Calculates the product of all elements in the ''list of numbers'' raised to the value given in the ''list of frequencies'' for each one of them.
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:{{examples|1=<br><code><nowiki>Product({20, 40, 50, 60}, {4, 3, 2, 1})</nowiki></code> yields ''1536000000000000''<br><code><nowiki>Product({sqrt(2), cbrt(3), sqrt(5), cbrt(-7)}, {4, 3, 2, 3})</nowiki></code> yields ''-420''
 
}}
 
}}
==CAS Specific Syntax==
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:{{note|The two lists must have the same length.}}
The following syntax is allowed only in the [[CAS View]]:
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==CAS Syntax==
;Product[ <List of expressions> ]:Calculates the product of all elements in the list.
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;Product( &lt;List of Expressions> )
:{{example|1=<div><code><nowiki>Product[{1, 2, x}]</nowiki></code> yields ''2x''.</div>}}
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:Calculates the product of all elements in the list.
;Product[ <Expression>, <Variable>, <Start>, <End> ]:Calculates the product of the expressions that are obtained by replacing the given variable with every integer from ''start'' to ''end''.
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:{{example|1=<div><code><nowiki>Product({1, 2, x})</nowiki></code> yields ''2x''.</div>}}
:{{example|1=<div><code><nowiki>Product[x + 1,  x,  2, 3]</nowiki></code> yields ''12''.</div>}}
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;Product( <Expression>, <Variable>, <Start Index>, <End Index> )
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:Calculates the product of the expressions that are obtained by replacing the given variable with every integer from ''start'' to ''end''.
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:{{example|1=<div><code><nowiki>Product(x + 1,  x,  2, 3)</nowiki></code> yields ''12''.</div>}}

Latest revision as of 11:25, 6 October 2017


Product( <List of Raw Data> )
Calculates the product of all numbers in the list.
Example:
Product({2, 5, 8}) yields 80.
Product( <List of Numbers>, <Number of Elements> )
Calculates the product of the first n elements in the list.
Example:
Product({1, 2, 3, 4}, 3) yields 6.
Product( <List of Numbers>, <List of Frequencies> )
Calculates the product of all elements in the list of numbers raised to the value given in the list of frequencies for each one of them.
Examples:
Product({20, 40, 50, 60}, {4, 3, 2, 1}) yields 1536000000000000
Product({sqrt(2), cbrt(3), sqrt(5), cbrt(-7)}, {4, 3, 2, 3}) yields -420
Note: The two lists must have the same length.

CAS Syntax

Product( <List of Expressions> )
Calculates the product of all elements in the list.
Example:
Product({1, 2, x}) yields 2x.
Product( <Expression>, <Variable>, <Start Index>, <End Index> )
Calculates the product of the expressions that are obtained by replacing the given variable with every integer from start to end.
Example:
Product(x + 1, x, 2, 3) yields 12.
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