Difference between revisions of "NSolutions Command"
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==CAS Syntax== | ==CAS Syntax== | ||
;NSolutions[ <Equation> ] | ;NSolutions[ <Equation> ] | ||
| − | : | + | :Attempts (numerically) to find a solution for the equation for the main variable. |
:{{example|1=<br><code><nowiki>NSolutions[cos(x) = x]</nowiki></code> yields ''{0.74}'' or ''{0.739085133215165}'' (the number of decimals depends on the choosen in [[Options Menu#Rounding|global rounding]])}} | :{{example|1=<br><code><nowiki>NSolutions[cos(x) = x]</nowiki></code> yields ''{0.74}'' or ''{0.739085133215165}'' (the number of decimals depends on the choosen in [[Options Menu#Rounding|global rounding]])}} | ||
;NSolutions[ <Equation>, <Variable> ] | ;NSolutions[ <Equation>, <Variable> ] | ||
| − | : | + | :Attempts (numerically) to find a solution of the equation for the given unknown variable. |
:{{examples|1=<div> | :{{examples|1=<div> | ||
:*<code><nowiki>NSolutions[cos(x) = x, x]</nowiki></code> yields ''{0.74}'' | :*<code><nowiki>NSolutions[cos(x) = x, x]</nowiki></code> yields ''{0.74}'' | ||
:*<code><nowiki>NSolutions[a^4 + 34a^3 = 34, a]</nowiki></code> yields the list ''{-34, 0.99}''.</div>}} | :*<code><nowiki>NSolutions[a^4 + 34a^3 = 34, a]</nowiki></code> yields the list ''{-34, 0.99}''.</div>}} | ||
| − | |||
;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. | ||
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:*<code><nowiki>NSolutions[a^4 + 34a^3 = 34, a = 3]</nowiki></code> yields the list ''{-34, 0.99}''.</div>}} | :*<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> ] | ||
| − | : | + | :Attempts (numerically) to find a solution of the set of equations for the given set of unknown variables. |
:{{example|1=<br><code><nowiki>NSolutions[{π / x = cos(x - 2y), 2 y - π = sin(x)}, {x = 3, y = 1.5}]</nowiki></code> yields the list ''{3.14, 1.57}''}} | :{{example|1=<br><code><nowiki>NSolutions[{π / x = cos(x - 2y), 2 y - π = sin(x)}, {x = 3, y = 1.5}]</nowiki></code> yields the list ''{3.14, 1.57}''}} | ||
| − | |||
{{note| 1=<br> | {{note| 1=<br> | ||
| + | * If you don't give a starting point like ''a=3'' or ''{x = 3, y = 1.5}'' the numerical algorithm may find it hard to find a solution (and giving a starting point doesn't guarantee that a solution will be found) | ||
* The number of decimals depends on the choosen in [[Options Menu#Rounding|global rounding]]. | * The number of decimals depends on the choosen in [[Options Menu#Rounding|global rounding]]. | ||
* π is obtaind by pressing {{KeyCode|Alt + p}}. | * π is obtaind by pressing {{KeyCode|Alt + p}}. | ||
* See also [[Solutions Command]] and [[NSolve Command]]. | * See also [[Solutions Command]] and [[NSolve Command]]. | ||
}} | }} | ||
Revision as of 20:11, 13 May 2013
CAS Syntax
- NSolutions[ <Equation> ]
- Attempts (numerically) to find a solution for the 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> ]
- Attempts (numerically) to find a solution of the 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}.
- NSolutions[ <Equation>, <Variable = starting value> ]
- Finds numerically the list of solutions to the given equation for the given unknown variable with its starting value.
- Examples:
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> ]
- Attempts (numerically) to find a solution of the 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:
- If you don't give a starting point like a=3 or {x = 3, y = 1.5} the numerical algorithm may find it hard to find a solution (and giving a starting point doesn't guarantee that a solution will be found)
- The number of decimals depends on the choosen in global rounding.
- π is obtaind by pressing Alt + p.
- See also Solutions Command and NSolve Command.
