Difference between revisions of "Manuals/calci/COMPLEX"
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==Description== | ==Description== | ||
*COMPLEX function converts the real and imaginary coefficients into a complex number. | *COMPLEX function converts the real and imaginary coefficients into a complex number. | ||
| − | *A complex number is a number is in the form z = a + bi, where a and b are real numbers and i is the imaginary unit and <math>i=\sqrt{-1}</math> | + | *A complex number is a number is in the form <math> z = a + bi</math>, where a and b are real numbers and <math>i</math> is the imaginary unit and <math>i=\sqrt{-1}</math> |
| − | *In COMPLEX(RN,IN,SF), here RN is the real part of a complex number,IN is the imaginary part of a complex number and SF is the imaginary unit of a complex number like | + | *In COMPLEX(RN,IN,SF), here RN is the real part of a complex number,IN is the imaginary part of a complex number and SF 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 |
| − | *In a complex number | + | *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 RN and IN are non-numeric. | *COMPLEX returns the error value, when RN and IN are non-numeric. | ||
| − | *Suffix 'S' should be either | + | *Suffix 'S' 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. | ||
Revision as of 02:58, 11 November 2013
COMPLEX(RN,IN,S)
- 'RN' is the real number.
- 'IN' is the imaginary number.
- 'S' is the suffix for the imaginary number.
Description
- COMPLEX function converts the real and imaginary coefficients into a complex number.
- A complex number is a number is in the form 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 z = a + bi} , where a and b are real numbers and 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 i} is the imaginary unit and 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 i=\sqrt{-1}}
- In COMPLEX(RN,IN,SF), here RN is the real part of a complex number,IN is the imaginary part of a complex number and SF is the imaginary unit of a complex number like 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 i} or 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 j} .
- To mention 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 i} and 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 j} we must use the lower case only
- In a complex number 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 z} real part is denoted by 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 Re(z)} & imaginary part is denoted by 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 Im(z)} .
- COMPLEX returns the error value, when RN and IN are non-numeric.
- Suffix 'S' should be either 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 i} or 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 j} , 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.
- 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)} 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 5+2i}
- 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 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 5+2j}
Examples
| Complex(RN,IN,SF) | RN | IN | SF | RESULT |
|---|---|---|---|---|
| Complex(5,6) | 5 | 6 | 5+6i | |
| Complex(5,2,"j") | 5 | 2 | j | 5+6j |
| Complex(2,0,"i") | 2 | 0 | i | 2 |
| Complex(0,-4,i) | 0 | 4 | i | 4i |
| Complex(5,"j") | 5 | j | Error |