Difference between revisions of "Product Command"

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<noinclude>{{Manual Page|version=4.2}}</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''
 
}}
 
}}
 
:{{note|The two lists must have the same length.}}
 
:{{note|The two lists must have the same length.}}
==CAS Specific Syntax==
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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''.
 +
:{{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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