Difference between revisions of "Manuals/calci/ERFC"

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<div style="font-size:30px">'''ERFC(x)'''</div><br/>
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<div style="font-size:30px">'''ERFC(a,accuracy)'''</div><br/>
*<math>x</math> is the lower limit.
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*<math>a</math> is the lower limit.
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*<math>accuracy</math> gives the accurate value of the solution.
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**ERFC(),returns the Complementary Error Function
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==Description==
 
==Description==
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*It is also called scaled complementary error function.
 
*It is also called scaled complementary error function.
 
*ERFC is defined by:
 
*ERFC is defined by:
<math>ERFC(x)=\frac{2}{\sqrt{\pi}}\int\limits_{x}^{infty}e^{-t^2} dt=1-ERF(x)</math>.
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<math>ERFC(x)=\frac{2}{\sqrt{\pi}}\int\limits_{x}^{\infty}e^{-t^2} dt=1-ERF(x)</math>.
*This function will return the result as error when x is nonnumeric or negative.
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*This function will return the result as error when a is nonnumeric or negative.
 +
 
 +
==ZOS==
 +
*The syntax is to calculate complementary error function in ZOS is <math>ERFC(a,accuracy)</math>.
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**<math>a</math> is the lower limit.
 +
**<math>accuracy</math> gives the accurate value of the solution.
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*For e.g.,ERFC(10),ERFC(10,0.01)
  
 
==Examples==
 
==Examples==
#ERFC(3)=0.0000219610
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#ERFC(3)=0.000022090496998639075
#ERFC(2)=0.0046777624247
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#ERFC(2)=0.004677734981047288
 
#ERFC(0)=1
 
#ERFC(0)=1
#ERFC(-2)=NAN
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#ERFC(-2)=1.9953222650189528
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 +
==Related Videos==
 +
 
 +
{{#ev:youtube|PBSFXukqztU|280|center|Complimentary Error Function}}
  
 
==See Also==
 
==See Also==
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==References==
 
==References==
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[http://en.wikipedia.org/wiki/Error_function Error Function ]
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 +
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Latest revision as of 04:14, 29 September 2021

ERFC(a,accuracy)


  • is the lower limit.
  • gives the accurate value of the solution.
    • ERFC(),returns the Complementary Error Function


Description

  • This function gives the complementary ERF function.
  • The complementary error function is the error function with the limit x and infinity. It is denoted by erfc(x).
  • It is also called scaled complementary error function.
  • ERFC is defined by:

.

  • This function will return the result as error when a is nonnumeric or negative.

ZOS

  • The syntax is to calculate complementary error function in ZOS is .
    • is the lower limit.
    • gives the accurate value of the solution.
  • For e.g.,ERFC(10),ERFC(10,0.01)

Examples

  1. ERFC(3)=0.000022090496998639075
  2. ERFC(2)=0.004677734981047288
  3. ERFC(0)=1
  4. ERFC(-2)=1.9953222650189528

Related Videos

Complimentary Error Function

See Also

References

Error Function