Difference between revisions of "Simplify Command"
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}} |
− | {{command|cas=true|algebra}} | + | ;Simplify( <Function> ) |
− | ;Simplify | ||
:Simplifies the terms of the given function, if possible. | :Simplifies the terms of the given function, if possible. | ||
− | :{{example| 1=<code><nowiki>Simplify | + | :{{example| 1=<code><nowiki>Simplify(x + x + x)</nowiki></code> yields the function ''f(x) = 3x''.}} |
− | ;Simplify | + | ;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 | + | :{{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| | + | :{{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>}} | ||
+ | |||
== CAS Syntax == | == CAS Syntax == | ||
− | ;Simplify | + | ;Simplify( <Function> ):Simplifies the terms of the given function, if possible. Undefined variables can be included in the terms. |
− | :{{ | + | |
− | :{{Note|1=See also [[Factor Command]].}} | + | :{{examples|<div> |
+ | :*<code><nowiki>Simplify(3 * x + 4 * x + a * x)</nowiki></code> yields <code> ''a x'' + ''7x''</code>. | ||
+ | :*<code><nowiki>Assume(x<2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>-sqrt(abs(x - 1)) + 1</code> | ||
+ | :*<code><nowiki>Assume(x>2,Simplify(sqrt(x-2sqrt(x-1))))</nowiki></code> yields <code>sqrt(x - 1) + 1</code></div>}} | ||
+ | :{{Note|1=See also [[Factor Command]], [[Assume Command]], [[PartialFractions Command]], [[Expand Command]], [[Polynomial Command]].}} |
Latest revision as of 21:33, 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: 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)
yieldsa x + 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))))
yieldssqrt(x - 1) + 1
- Note: See also Factor Command, Assume Command, PartialFractions Command, Expand Command, Polynomial Command.