“CSolve 指令”的版本间的差异

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<noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|CAS|CSolve}}
 
<noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|CAS|CSolve}}
 
;CSolve[ <Equation> ]
 
;CSolve[ <Equation> ]
:{{translate|CSolve Command}}
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:Solves a given equation for the variable x and returns a list of all solutions, allowing for complex solutions.
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:{{example|1=<div><code><nowiki>CSolve[x^2 = -1]</nowiki></code> yields ''{x = ί, x = -ί}'', the complex solutions of ''x<sup>2</sup> = -1''.</div>}}
 
;CSolve[ <Equation>, <Variable> ]
 
;CSolve[ <Equation>, <Variable> ]
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:Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.
 +
:{{example|1=<div><code><nowiki>CSolve[a^2 = -1, a]</nowiki></code> yields ''<nowiki>{a = ί, a = -ί}</nowiki>'', the complex solutions of ''a<sup>2</sup> = -1''.</div>}}
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;CSolve[ <List of Equations>, <List of Variables> ]
 +
:Solves a set of equations for a given set of unknown variables and returns a list of all solutions, allowing for complex solutions.
 +
:{{example|1=<div><code><nowiki>CSolve[{y^2 = x - 1, x = 2 * y - 1}, {x, y}]</nowiki></code> yields ''<nowiki>{{x = 1 + 2 ί, y = 1 + ί}, {x = 1 - 2 ί, y = 1 - ί}}</nowiki>'', the complex solutions of ''y<sup>2</sup> = x'' and ''x = 2 * y - 1''.</div>}}
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{{note| 1=<div>
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*The complex ί is obtained by pressing {{KeyCode|ALT + i}}.
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*See also [[CSolutions Command]] and [[Solve Command]].
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</div>}}
 
:{{translate|CSolve Command}}
 
:{{translate|CSolve Command}}

2011年9月29日 (四) 02:13的最新版本

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此指令只能用在運算區

CSolve[ <Equation> ]
Solves a given equation for the variable x and returns a list of all solutions, allowing for complex solutions.
範例:
CSolve[x^2 = -1] yields {x = ί, x = -ί}, the complex solutions of x2 = -1.
CSolve[ <Equation>, <Variable> ]
Solves an equation for a given unknown variable and returns a list of all solutions, allowing for complex solutions.
範例:
CSolve[a^2 = -1, a] yields {a = ί, a = -ί}, the complex solutions of a2 = -1.
CSolve[ <List of Equations>, <List of Variables> ]
Solves a set of equations for a given set of unknown variables and returns a list of all solutions, allowing for complex solutions.
範例:
CSolve[{y^2 = x - 1, x = 2 * y - 1}, {x, y}] yields {{x = 1 + 2 ί, y = 1 + ί}, {x = 1 - 2 ί, y = 1 - ί}}, the complex solutions of y2 = x and x = 2 * y - 1.
備註:
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