Difference between revisions of "Numeric Command"

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(add cancelation example Numeric[-500000000/785398163*sin(785398163/500000000)*1258025227.19^2+500000000/785398163*1258025227.19^2,30])
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:Tries to determine a numerical approximation of the given expression. The number of decimals depends on the global rounding you choose in the [[Options Menu]].
 
:Tries to determine a numerical approximation of the given expression. The number of decimals depends on the global rounding you choose in the [[Options Menu]].
 
:{{example|1=<div><code><nowiki>Numeric[3 / 2]</nowiki></code> yields ''1.5''.</div>}}
 
:{{example|1=<div><code><nowiki>Numeric[3 / 2]</nowiki></code> yields ''1.5''.</div>}}
;Numeric[ <Expression>, <significant figures> ]
+
 
 +
 
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;Numeric[ <Expression>, <Significant Figures> ]
 
:Tries to determine a numerical approximation of the given expression, using the entered number of significant figures.
 
:Tries to determine a numerical approximation of the given expression, using the entered number of significant figures.
 
:{{example|1=<div><code><nowiki>Numeric[sin(1), 20]</nowiki></code> yields ''0.84147098480789650665''.</div>}}
 
:{{example|1=<div><code><nowiki>Numeric[sin(1), 20]</nowiki></code> yields ''0.84147098480789650665''.</div>}}
:{{note|1=If you don't specify enough digits then you can get an apparently wrong answer due to [http://docs.oracle.com/cd/E19957-01/806-3568/ncg_goldberg.html floating point cancelation] for example <br><code>Numeric[-500000000/785398163*sin(785398163/500000000)*1258025227.19^2+500000000/785398163*1258025227.19^2,10]</code> will give 0 but <br><code>Numeric[-500000000/785398163*sin(785398163/500000000)*1258025227.19^2+500000000/785398163*1258025227.19^2,30]</code> will give 0.318309886345536696694580314215}}
+
 
 +
:{{note|1=If you don't specify enough digits then you can get an apparently wrong answer due to [http://docs.oracle.com/cd/E19957-01/806-3568/ncg_goldberg.html floating point cancelation] for example <br> <code>Numeric[-500000000/785398163*sin(785398163/500000000)*1258025227.19^2+500000000/785398163*1258025227.19^2,10]</code> will give 0 but <br><code>Numeric[-500000000/785398163*sin(785398163/500000000)*1258025227.19^2+500000000/785398163*1258025227.19^2,30]</code> will give 0.318309886345536696694580314215}}

Revision as of 09:00, 11 July 2013



CAS Syntax

Numeric[ <Expression> ]
Tries to determine a numerical approximation of the given expression. The number of decimals depends on the global rounding you choose in the Options Menu.
Example:
Numeric[3 / 2] yields 1.5.


Numeric[ <Expression>, <Significant Figures> ]
Tries to determine a numerical approximation of the given expression, using the entered number of significant figures.
Example:
Numeric[sin(1), 20] yields 0.84147098480789650665.


Note: If you don't specify enough digits then you can get an apparently wrong answer due to floating point cancelation for example
Numeric[-500000000/785398163*sin(785398163/500000000)*1258025227.19^2+500000000/785398163*1258025227.19^2,10] will give 0 but
Numeric[-500000000/785398163*sin(785398163/500000000)*1258025227.19^2+500000000/785398163*1258025227.19^2,30] will give 0.318309886345536696694580314215
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