Difference between revisions of "Manuals/calci/COMPLEX"
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| − | <div style="font-size:30px">'''COMPLEX( | + | <div style="font-size:30px">'''COMPLEX (Real,Imaginary,Suffix)'''</div><br/> |
| − | *<math> | + | *<math>Real</math> is the real part of the complex number. |
| − | *<math> | + | *<math>Imaginary</math> is the imaginary part of the complex number. |
| − | *<math> | + | *<math>Suffix</math> is the imaginary unit of the complex number. |
| + | **COMPLEX(), converts real and imaginary coefficients into a complex number. | ||
==Description== | ==Description== | ||
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*For e.g. <math>{-4}^2 =16</math>. Because a negative times a negative is positive. | *For e.g. <math>{-4}^2 =16</math>. Because a negative times a negative is positive. | ||
*A complex number is a number is in the form <math> z = a + bi</math>, where <math>a</math> and <math>b</math> are real numbers and <math>i</math> is the imaginary unit. Where <math>i=\sqrt{-1}</math> | *A complex number is a number is in the form <math> z = a + bi</math>, where <math>a</math> and <math>b</math> are real numbers and <math>i</math> is the imaginary unit. Where <math>i=\sqrt{-1}</math> | ||
| − | *In <math>COMPLEX( | + | *In <math>COMPLEX(Real,Imaginary,Suffix)</math>, here <math>Real</math> is the real part of the complex number, <math>Imaginary</math> is the imaginary part of the complex number and <math>Suffix</math> is the imaginary unit of a complex number like <math>i</math> or <math>j</math>. |
*To mention <math>i</math> and <math>j</math>, we must use the lower case only | *To mention <math>i</math> and <math>j</math>, we must use the lower case only | ||
*In a complex number <math>z</math> real part is denoted by <math>Re(z)</math> & imaginary part is denoted by <math>Im(z)</math>. | *In a complex number <math>z</math> real part is denoted by <math>Re(z)</math> & imaginary part is denoted by <math>Im(z)</math>. | ||
| − | *COMPLEX returns the error value, when <math> | + | *COMPLEX returns the error value, when <math>Real</math> and <math>Imaginary</math> are non-numeric. |
*<math>Suffix</math> should be either <math>i</math> or <math>j</math>, otherwise it shows error value. | *<math>Suffix</math> should be either <math>i</math> or <math>j</math>, otherwise it shows error value. | ||
*A Complex number whose real part is zero is said to be purely imaginary. | *A Complex number whose real part is zero is said to be purely imaginary. | ||
Revision as of 17:40, 11 July 2018
COMPLEX (Real,Imaginary,Suffix)
- is the real part of the complex number.
- is the imaginary part of the complex number.
- is the imaginary unit of the complex number.
- COMPLEX(), converts real and imaginary coefficients into a complex number.
is the real part of the complex number.
is the imaginary part of the complex number.
is the imaginary unit of the complex number.
Description
- COMPLEX function converts the real and imaginary coefficients into a complex number.
- A complex number is a combination of a real and an imaginary number.
- A number which is positive or negative, rational or irrational or decimals are called real numbers.
- An Imaginary number is a number that when squring it gives a negative result.
- For e.g. . Because a negative times a negative is positive.
- A complex number is a number is in the form , where and are real numbers and is the imaginary unit. Where
- In , here is the real part of the complex number, is the imaginary part of the complex number and is the imaginary unit of a complex number like or .
- To mention and , we must use the lower case only
- In a complex number real part is denoted by & imaginary part is denoted by .
- COMPLEX returns the error value, when and are non-numeric.
- should be either or , otherwise it shows error value.
- A Complex number whose real part is zero is said to be purely imaginary.
- A Complex number whose imaginary part is zero is a real number. In that cases we have to assign '0' for that part.
- COMPLEX(5,2) gives
- COMPLEX(5,2,"j") gives
. Because a negative times a negative is positive.
, where 
and 
are real numbers and 
is the imaginary unit. Where 
, here 
.
real part is denoted by 
& imaginary part is denoted by 
.
ZOS
- The syntax is to calculate COMPLEX in ZOS is
- is the real part.
- is the imaginary part.
- is imaginary unit which is either "i" or "j".
- E.x: COMPLEX(-1..1,10..11,"j")
is the real part.
is the imaginary part.
is imaginary unit which is either "i" or "j".Examples
| Complex(real,imaginary,suffix) | rn | in | sf | RESULT |
|---|---|---|---|---|
| Complex(5,6) | 5 | 6 | 5+6i | |
| Complex(5,2,"j") | 5 | 2 | j | 5+2j |
| Complex(2,0,"i") | 2 | 0 | i | 2+0i |
| Complex(0,-4,"i") | 0 | -4 | i | 0 + -4i |
| Complex(5,"j") | 5 | j | Error |
Related Videos
See Also
References