Difference between revisions of "Product Command"
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}} | ||
− | ;Product[ | + | ;Product[ <List of Raw Data> ] |
:Calculates the product of all numbers in the list. | :Calculates the product of all numbers in the list. | ||
:{{example|1=<div><code><nowiki>Product[{2, 5, 8}]</nowiki></code> yields ''80''.</div>}} | :{{example|1=<div><code><nowiki>Product[{2, 5, 8}]</nowiki></code> yields ''80''.</div>}} | ||
− | ;Product[ | + | ;Product[ <List of Numbers>, <Number of Elements> ] |
:Calculates the product of the first ''n'' elements in the list. | :Calculates the product of the first ''n'' elements in the list. | ||
:{{example|1=<div><code><nowiki>Product[{1, 2, 3, 4}, 3]</nowiki></code> yields ''6''.</div>}} | :{{example|1=<div><code><nowiki>Product[{1, 2, 3, 4}, 3]</nowiki></code> yields ''6''.</div>}} | ||
− | ;Product[ | + | ;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. | :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|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'' | :{{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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:{{note|The two lists must have the same length.}} | :{{note|The two lists must have the same length.}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
− | ;Product[ | + | ;Product[ <List of Expressions> ] |
:Calculates the product of all elements in the list. | :Calculates the product of all elements in the list. | ||
:{{example|1=<div><code><nowiki>Product[{1, 2, x}]</nowiki></code> yields ''2x''.</div>}} | :{{example|1=<div><code><nowiki>Product[{1, 2, x}]</nowiki></code> yields ''2x''.</div>}} |
Revision as of 21:49, 22 August 2015
- 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 1536000000000000Product[ {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.