Difference between revisions of "Simplify Command"

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(command syntax: changed [ ] into ( ))
(add examples with Assume. Links to other "rewriting" commands)
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;Simplify( <Text> )
 
;Simplify( <Text> )
 
:Attempts to tidy up text expressions by removing repeated negatives etc.
 
:Attempts to tidy up text expressions by removing repeated negatives etc.
:{{example| 1=For ''a'' = ''b'' = ''c'' = -1 <code><nowiki>Simplify("f(x) = " + a + "x² + " + b + "x + " + c)</nowiki></code> yields the text ''f(x) = -x<sup>2</sup> - x - 1''.}}
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:{{example| 1=For ''a'' = ''b'' = ''c'' = -1 <code><nowiki>Simplify("f(x) = " + a + "x² + " + b + "x + " + c)</nowiki></code> yields the text ''f(x) = -x<sup>2</sup> - x - 1''.
:{{note| <div>The [[FormulaText Command]] normally produces better results and is simpler.</div>}}
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:{{note| <div>The [[FormulaText Command]] normally produces better results and is simpler.</div>
 
{{note|<div>This command needs to load the Computer Algebra System, so can be slow on some computers. Try using the [[Polynomial Command]] instead.</div>}}
 
{{note|<div>This command needs to load the Computer Algebra System, so can be slow on some computers. Try using the [[Polynomial Command]] instead.</div>}}
  
 
== CAS Syntax ==
 
== CAS Syntax ==
 
;Simplify( <Function> ):Simplifies the terms of the given function, if possible. Undefined variables can be included in the terms.  
 
;Simplify( <Function> ):Simplifies the terms of the given function, if possible. Undefined variables can be included in the terms.  
:{{example|1=<code><nowiki>Simplify(3 * x + 4 * x + a * x)</nowiki></code> yields ''xa'' + ''7x''.}}
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:{{Note|1=See also [[Factor Command]].}}
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:{{examples|<div>
 +
:*<code><nowiki>Simplify(3 * x + 4 * x + a * x)</nowiki></code> yields <code> ''xa'' + ''7x''</code>.
 +
:*<code><nowiki>Assume(x<2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>-sqrt(abs(x - 1)) + 1</code>
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:*<code><nowiki>Assume(x>2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>sqrt(abs(x - 1)) + 1</code></div>}}
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:{{Note|1=See also [[Factor Command]], [[Assume Command]], [[PartialFractions Command]], [[Expand Command]], [[Polynomial Command]].}}

Revision as of 08:43, 15 May 2019


Simplify( <Function> )
Simplifies the terms of the given function, if possible.
Example: Simplify(x + x + x) yields the function f(x) = 3x.
Simplify( <Text> )
Attempts to tidy up text expressions by removing repeated negatives etc.
{{example| 1=For a = b = c = -1 Simplify("f(x) = " + a + "x² + " + b + "x + " + c) yields the text f(x) = -x2 - x - 1.
{{note|
The FormulaText Command normally produces better results and is simpler.
Note:
This command needs to load the Computer Algebra System, so can be slow on some computers. Try using the Polynomial Command instead.

CAS Syntax

Simplify( <Function> )
Simplifies the terms of the given function, if possible. Undefined variables can be included in the terms.
Examples:
  • Simplify(3 * x + 4 * x + a * x) yields xa + 7x.
  • Assume(x<2,Simplify(sqrt(x-2sqrt(x-1)))) yields -sqrt(abs(x - 1)) + 1
  • Assume(x>2,Simplify(sqrt(x-2sqrt(x-1)))) yields sqrt(abs(x - 1)) + 1
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