Difference between revisions of "NSolutions Command"

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;NSolutions[ <Equation>, <Variable> ]
 
;NSolutions[ <Equation>, <Variable> ]
 
:Finds numerically the list of solutions to the given equation for the given unknown variable.
 
:Finds numerically the list of solutions to the given equation for the given unknown variable.
:{{examples|1=<br><code><nowiki>NSolutions[cos(x) = x, x = 0]</nowiki></code> yields ''{0.74}''<br><code><nowiki>NSolutions[a^4 + 34a^3 - 34, a]</nowiki></code> yields the list ''{-34, 0.99}''.<br>}}
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:{{examples|1=<br><code><nowiki>NSolutions[cos(x) = x, x]</nowiki></code> yields ''{0.74}''<br><code><nowiki>NSolutions[a^4 + 34a^3 = 34, a]</nowiki></code> yields the list ''{-34, 0.99}''.<br>}}
 
:{{note| 1=It is optional to give the starting point like ''a = 3''.}}
 
:{{note| 1=It is optional to give the starting point like ''a = 3''.}}
 
;NSolutions[ <Equation>, <Variable = starting value> ]
 
;NSolutions[ <Equation>, <Variable = starting value> ]
 
:Finds numerically the list of solutions to the given equation for the given unknown variable with its starting value.
 
:Finds numerically the list of solutions to the given equation for the given unknown variable with its starting value.
:{{example|1=<div><code><nowiki>NSolutions[a^4 + 34a^3 - 34, a = 3]</nowiki></code> yields the list ''{-34, 0.99}''.</div>}}
+
:{{example|1=<div><code><nowiki>NSolutions[cos(x) = x, x = 0]</nowiki></code> yields ''{0.74}''<br><code><nowiki>NSolutions[a^4 + 34a^3 = 34, a = 3]</nowiki></code> yields the list ''{-34, 0.99}''.</div>}}
 
;NSolutions[ <List of Equations>, <List of Variables> ]
 
;NSolutions[ <List of Equations>, <List of Variables> ]
 
:Finds numerically the list of solutions to the given set of equations for the given set of unknown variables.
 
:Finds numerically the list of solutions to the given set of equations for the given set of unknown variables.
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:{{note| 1=It is optional to give the starting point like ''{x = 3, y = 1.5}''.}}
 
:{{note| 1=It is optional to give the starting point like ''{x = 3, y = 1.5}''.}}
 
{{note| 1=<br>
 
{{note| 1=<br>
:*π is obtaind by pressing {{KeyCode|Alt + p}}.
+
* The number of decimals depends on the choosen in [[Options Menu#Rounding|global rounding]].
:*See also [[Solutions Command]] and [[NSolve Command]].
+
* π is obtaind by pressing {{KeyCode|Alt + p}}.
 +
* See also [[Solutions Command]] and [[NSolve Command]].
 
}}
 
}}

Revision as of 11:35, 21 December 2012



CAS Syntax

NSolutions[ <Equation> ]
Finds a numeric solution for the given equation for the main variable.
Example:
NSolutions[cos(x) = x] yields {0.74} or {0.739085133215165} (the number of decimals depends on the choosen in global rounding)
NSolutions[ <Equation>, <Variable> ]
Finds numerically the list of solutions to the given equation for the given unknown variable.
Examples:
NSolutions[cos(x) = x, x] yields {0.74}
NSolutions[a^4 + 34a^3 = 34, a] yields the list {-34, 0.99}.
Note: It is optional to give the starting point like a = 3.
NSolutions[ <Equation>, <Variable = starting value> ]
Finds numerically the list of solutions to the given equation for the given unknown variable with its starting value.
Example:
NSolutions[cos(x) = x, x = 0] yields {0.74}
NSolutions[a^4 + 34a^3 = 34, a = 3] yields the list {-34, 0.99}.
NSolutions[ <List of Equations>, <List of Variables> ]
Finds numerically the list of solutions to the given set of equations for the given set of unknown variables.
Example:
NSolutions[{π / x = cos(x - 2y), 2 y - π = sin(x)}, {x = 3, y = 1.5}] yields the list {3.14, 1.57}
Note: It is optional to give the starting point like {x = 3, y = 1.5}.
Note:
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