Difference between revisions of "PartialFractions Command"
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;PartialFractions[ <Function> ] | ;PartialFractions[ <Function> ] | ||
:Yields, if possible, the [[w:Partial fraction|partial fraction]] of the given function for the main function variable. The graph of the function is plotted in [[Graphics View]]. | :Yields, if possible, the [[w:Partial fraction|partial fraction]] of the given function for the main function variable. The graph of the function is plotted in [[Graphics View]]. | ||
| − | :{{example|1=<div><code><nowiki>PartialFractions[x^2 / (x^2 - 2x + 1)]</nowiki></code> yields 1 + <math>\frac{2}{x - 1}</math> + <math>\frac{1}{(x-1)²}</math>.</div>}} | + | :{{example|1=<div><code><nowiki>PartialFractions[x^2 / (x^2 - 2x + 1)]</nowiki></code> yields ''1 + <math>\frac{2}{x - 1}</math> + <math>\frac{1}{(x-1)²}</math>''.</div>}} |
==CAS Syntax== | ==CAS Syntax== | ||
;PartialFractions[ <Function> ] | ;PartialFractions[ <Function> ] | ||
:Yields, if possible, the partial fraction of the given function for the main function variable. | :Yields, if possible, the partial fraction of the given function for the main function variable. | ||
| − | :{{example|1=<div><code><nowiki>PartialFractions[x^2 / (x^2 - 2 x + 1)]</nowiki></code> yields 1 + <math>\frac{2}{x - 1}</math> + <math>\frac{1}{(x-1)²}</math>.</div>}} | + | :{{example|1=<div><code><nowiki>PartialFractions[x^2 / (x^2 - 2 x + 1)]</nowiki></code> yields ''1 + <math>\frac{2}{x - 1}</math> + <math>\frac{1}{(x-1)²}</math>''.</div>}} |
;PartialFractions[ <Function>, <Variable> ] | ;PartialFractions[ <Function>, <Variable> ] | ||
:Yields, if possible, the partial fraction of the given function for the given function variable. | :Yields, if possible, the partial fraction of the given function for the given function variable. | ||
| − | :{{example|1=<div><code><nowiki>PartialFractions[a^2 / (a^2 - 2a + 1), a]</nowiki></code> yields 1 + <math>\frac{2}{a - 1}</math> + <math>\frac{1}{(a-1)²}</math>.</div>}} | + | :{{example|1=<div><code><nowiki>PartialFractions[a^2 / (a^2 - 2a + 1), a]</nowiki></code> yields ''1 + <math>\frac{2}{a - 1}</math> + <math>\frac{1}{(a-1)²}</math>''.</div>}} |
Revision as of 14:15, 12 April 2013
- PartialFractions[ <Function> ]
- Yields, if possible, the partial fraction of the given function for the main function variable. The graph of the function is plotted in Graphics View.
- Example:
PartialFractions[x^2 / (x^2 - 2x + 1)]yields 1 + \frac{2}{x - 1} + \frac{1}{(x-1)²}.
CAS Syntax
- PartialFractions[ <Function> ]
- Yields, if possible, the partial fraction of the given function for the main function variable.
- Example:
PartialFractions[x^2 / (x^2 - 2 x + 1)]yields 1 + \frac{2}{x - 1} + \frac{1}{(x-1)²}.
- PartialFractions[ <Function>, <Variable> ]
- Yields, if possible, the partial fraction of the given function for the given function variable.
- Example:
PartialFractions[a^2 / (a^2 - 2a + 1), a]yields 1 + \frac{2}{a - 1} + \frac{1}{(a-1)²}.
