Difference between revisions of "Manuals/calci/COMPLEXNUM"
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(Created page with "<div style="font-size:30px">'''COMPLEXNUM(real,imaginary,suffix)'''</div><br/> *<math>real</math> is the real part of the complex number. *<math>imaginary</math> is the imagi...") |
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| − | <div style="font-size:30px">'''COMPLEXNUM( | + | <div style="font-size:30px">'''COMPLEXNUM(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. |
==Description== | ==Description== | ||
| − | * | + | *COMPLEXNUM 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 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. | *A number which is positive or negative, rational or irrational or decimals are called real numbers. | ||
| Line 13: | Line 13: | ||
*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>COMPLEXNUM( | + | *In <math>COMPLEXNUM(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>. | ||
| − | * | + | *COMPLEXNUM 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. | ||
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==ZOS== | ==ZOS== | ||
| − | *The syntax is to calculate | + | *The syntax is to calculate COMPLEXNUM in ZOS is <math>COMPLEXNUM(REAL,IMAGINARY,SUFFIX)</math> |
*<math>REAL</math> is the real part. | *<math>REAL</math> is the real part. | ||
*<math>IMAGINARY</math> is the imaginary part. | *<math>IMAGINARY</math> is the imaginary part. | ||
Latest revision as of 14:56, 27 June 2018
COMPLEXNUM(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
- COMPLEXNUM 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 .
- COMPLEXNUM 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.
. 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 
.- =COMPLEXNUM(5,2) gives
- =COMPLEXNUM(5,2,["j"]) gives
ZOS
- The syntax is to calculate COMPLEXNUM in ZOS is
- is the real part.
- is the imaginary part.
- is imaginary unit which is either "i" or "j".
- E.x: COMPLEXNUM(-1..1,10..11,"j")
is the real part.
is the imaginary part.
is imaginary unit which is either "i" or "j".Examples
| COMPLEXNUM(real,imaginary,suffix) | rn | in | sf | RESULT |
|---|---|---|---|---|
| COMPLEXNUM(5,6) | 5 | 6 | 5+i6 | |
| COMPLEXNUM(7,3,"j") | 7 | 3 | j | 7+j3 |
| COMPLEXNUM(4,0,"i") | 4 | 0 | i | 4+i0 |
| COMPLEXNUM(0,-4,"i") | 0 | (-4) | i | 0-i4 |
| COMPLEXNUM(5,"j") | 5 | j | Error |
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