Difference between revisions of "Manuals/calci/IMAGINARY"
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<div style="font-size:30px">'''IMAGINARY(z)'''</div><br/> | <div style="font-size:30px">'''IMAGINARY(z)'''</div><br/> | ||
− | * | + | *<math>z</math> is the complex number is in the form <math>a+bi</math>. |
==Description== | ==Description== | ||
*This function gives the imaginary coefficient of a complex number. | *This function gives the imaginary coefficient of a complex number. | ||
− | *Imaginary number is a real number which is multiplied with the imaginary unit i,where i=sqrt(-1). | + | *Imaginary number is a real number which is multiplied with the imaginary unit <math>i</math>, where <math>i=\sqrt(-1)</math>. |
− | *When imaginary number bi is get adding to the real number a, then it | + | *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 bi, it will give the negative real number -b^2. | + | *Also when we are squaring the imaginary number <math>bi</math>, it will give the negative real number <math>{-b}^2</math>. |
− | *For eg (5i)^2=-25.We can use COMPLEX function to convert the real and | + | *For eg (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. | *A complex number is a imaginary number when the real part is zero. | ||
==Examples== | ==Examples== | ||
− | #IMAGINARY("2+3i")=3 | + | #IMAGINARY("2+3i")=3 |
#IMAGINARY("4-5i")=-5 | #IMAGINARY("4-5i")=-5 | ||
#IMAGINARY("3j")=3 | #IMAGINARY("3j")=3 |
Revision as of 01:11, 25 November 2013
IMAGINARY(z)
- is the complex number is in the form .
Description
- This function gives the imaginary coefficient of a complex number.
- Imaginary number is a real number which is multiplied with the imaginary unit , where .
- When imaginary number is get adding to the real number , then it forms a complex number.
- Also when we are squaring the imaginary number , it will give the negative real number .
- For eg (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