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>suffixf</math> is the imaginary unit of the 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>rn</math> and <math>in</math> are non-numeric. | *COMPLEX returns the error value, when <math>rn</math> and <math>in</math> are non-numeric. | ||
| − | * | + | *<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. | ||
*A Complex number whose imaginary part is zero is a real number. In that cases we have to assign '0' for that part. | *A Complex number whose imaginary part is zero is a real number. In that cases we have to assign '0' for that part. | ||
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*[[Manuals/calci/IMAGINARY | IMAGINARY]] | *[[Manuals/calci/IMAGINARY | IMAGINARY]] | ||
*[[Manuals/calci/IMREAL| IMREAL]] | *[[Manuals/calci/IMREAL| IMREAL]] | ||
| + | *[[Manuals/calci/IMABS| IMABS]] | ||
| + | *[[Manuals/calci/IMCONJUGATE| IMCONJUGATE]] | ||
==References== | ==References== | ||
[http://en.wikipedia.org/wiki/Complex_number Complex Numbers] | [http://en.wikipedia.org/wiki/Complex_number Complex Numbers] | ||
Revision as of 23:48, 8 April 2014
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.
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.
- gives
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle =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 
is the imaginary unit of a complex number like 
.
real part is denoted by 
& imaginary part is denoted by 
.
and 
are non-numeric.
should be either 
gives 
ZOS Section
- 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(rn,in,sf) | 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 |
| Complex(0,-4,i) | 0 | -4 | i | -4i |
| Complex(5,"j") | 5 | j | Error |