Difference between revisions of "Manuals/calci/IMEXP"
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**<math>ComplexNumber</math> is of the form a+bi. | **<math>ComplexNumber</math> is of the form a+bi. | ||
*For e.g.,IMEXP("0.3-0.54i") | *For e.g.,IMEXP("0.3-0.54i") | ||
+ | {{#ev:youtube|nuPmQ8dB3wc|280|center|IMEXP}} | ||
==Examples== | ==Examples== |
Revision as of 05:22, 25 June 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