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/>
*where 'z' is the complex number is in the form a+bi.
+
*<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 is form 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 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 imginary coefficients to a complex 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.
 
*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

  1. IMAGINARY("2+3i")=3
  2. IMAGINARY("4-5i")=-5
  3. IMAGINARY("3j")=3
  4. IMAGINARY("7")=0

See Also

References

Exponential function