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