Difference between revisions of "Manuals/calci/IMEXP"

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*The Complex exponential function is denoted by "'''cis(x)'''"(Cosine plus iSine)
 
*The Complex exponential function is denoted by "'''cis(x)'''"(Cosine plus iSine)
 
*We can use [[Manuals/calci/COMPLEX  | COMPLEX ]] function to convert the real and imaginary coefficients to a complex number.
 
*We can use [[Manuals/calci/COMPLEX  | COMPLEX ]] function to convert the real and imaginary coefficients to a complex number.
 +
 +
==ZOS Section==
 +
 +
*The syntax is to calculate IMEXP in ZOS is <math>IMEXP(ComplexNumber)</math>.
 +
**<math>ComplexNumber</math> is of the form a+bi.
 +
*For e.g.,IMEXP("0.3-0.54i")
  
 
==Examples==
 
==Examples==
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#=IMEXP("2i") = -0.416146836547142+0.909297426825682i
 
#=IMEXP("2i") = -0.416146836547142+0.909297426825682i
 
#=IMEXP("0") = 1 and IMEXP("0i") = 1
 
#=IMEXP("0") = 1 and IMEXP("0i") = 1
 
==ZOS Section==
 
*The syntax is to calculate IMEXP in ZOS is <math>IMEXP(ComplexNumber)</math>.
 
**<math>ComplexNumber</math> is of the form a+bi.
 
*For e.g.,
 
  
 
==See Also==
 
==See Also==

Revision as of 03:34, 24 April 2014

IMEXP(ComplexNumber)


  • is of the form a+bi.

Description

  • This function gives the exponential of a complex number.
  • In , is of the form , & are real numbers & is the imaginary unit. .
  • Euler's formula states that , for any real number and is the base of the natural logarithm.
  • The approximate value of the constant e=2.718281828459045 and it is equal to .
  • Let z be the Complex Number.Then the exponential of a complex number is : .
  • Here Sin and Cos are trignometric functions. y is angle value in radians.
  • When imaginary part is '0', it will give the exponent value of the real number. i.e when imaginary number is '0'.
  • The Complex exponential function is denoted by "cis(x)"(Cosine plus iSine)
  • We can use COMPLEX function to convert the real and imaginary coefficients to a complex number.

ZOS Section

  • The syntax is to calculate IMEXP in ZOS is .
    • is of the form a+bi.
  • For e.g.,IMEXP("0.3-0.54i")

Examples

  1. =IMEXP("2+3i") = -7.315110094901102+1.0427436562359i
  2. =IMEXP("4-5i") = 15.4874305606508+52.355491418482i
  3. =IMEXP("6") = 403.428793492735
  4. =IMEXP("2i") = -0.416146836547142+0.909297426825682i
  5. =IMEXP("0") = 1 and IMEXP("0i") = 1

See Also

References

Exponential function