Difference between revisions of "Manuals/calci/IMAGINARY"
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*When imaginary number <math>bi</math> is get adding to the real number <math>a</math>, then it forms a complex number. | *When imaginary number <math>bi</math> is get adding to the real number <math>a</math>, then it forms a complex number. | ||
*Also when we are squaring the imaginary number <math>bi</math>, it will give the negative real number <math>{-b}^2</math>. | *Also when we are squaring the imaginary number <math>bi</math>, it will give the negative real number <math>{-b}^2</math>. | ||
| − | *For eg <math>(5i)^2=-25</math>. We can use [[Manuals/calci/COMPLEX | COMPLEX]]function to convert the real and imaginary coefficients to a complex number. | + | *For eg <math>(5i)^2=-25</math>. We can use [[Manuals/calci/COMPLEX | COMPLEX]] function to convert the real and imaginary coefficients to a complex number. |
*A complex number is a imaginary number when the real part is zero. | *A complex number is a imaginary number when the real part is zero. | ||
Revision as of 22:54, 26 November 2013
IMAGINARY(z)
- 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} is the complex 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 a+bi} .
Description
- This function gives the imaginary coefficient of a complex number.
- Imaginary number is a real number which is multiplied with the imaginary unit 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} , where 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}} .
- When imaginary 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 bi} is get adding to the real 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 a} , then it forms a complex number.
- Also when we are squaring the imaginary 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 bi} , it will give the negative real 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 {-b}^2} .
- For eg Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle (5i)^{2}=-25} . We can use COMPLEX function to convert the real and imaginary coefficients to a complex number.
- A complex number is a imaginary number when the real part is zero.
Examples
IMAGINARY("2+3i")=3
IMAGINARY("4-5i")=-5
IMAGINARY("3j")=3
IMAGINARY("7")=0