Difference between revisions of "Manuals/calci/IMPRODUCT"
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| − | <div style="font-size:30px">'''IMPRODUCT( | + | <div style="font-size:30px">'''IMPRODUCT(Complexnumber1,Complexnumber2)'''</div><br/> |
| − | *<math> | + | *<math>Complexnumbers</math> are of the form <math>z=a+ib</math> |
| + | |||
==Description== | ==Description== | ||
*This function gives the product of the complex numbers. | *This function gives the product of the complex numbers. | ||
| − | *In IMPRODUCT( | + | *In <math>IMPRODUCT(Complexnumber1,Complexnumber2)</math>, where Complexnumbers are in the form of <math>z=a+ib</math>. |
*where <math>a</math> & <math>b</math> are the real numbers. <math>i</math> is the imaginary unit .<math>i=\sqrt{-1}</math>. | *where <math>a</math> & <math>b</math> are the real numbers. <math>i</math> is the imaginary unit .<math>i=\sqrt{-1}</math>. | ||
| + | *In CALCI we can find the product of 2 to 29 Complex numbers. | ||
*The multiplication of two complex numbers is a complex number. | *The multiplication of two complex numbers is a complex number. | ||
*Let <math>z1=a+ib</math> and <math>z2=c+id</math>. | *Let <math>z1=a+ib</math> and <math>z2=c+id</math>. | ||
*Then the product of two complex number is <math>z1.z2=(a+ib)(c+id)=(ac-bd)+(ad+bc)i</math> . | *Then the product of two complex number is <math>z1.z2=(a+ib)(c+id)=(ac-bd)+(ad+bc)i</math> . | ||
*In this function <math>z1</math> is required. <math>z2,z3,...</math> are optional. | *In this function <math>z1</math> is required. <math>z2,z3,...</math> are optional. | ||
| − | *We can use COMPLEX function to convert real and imaginary number in to a complex number. | + | *We can use [[Manuals/calci/COMPLEX| COMPLEX]] function to convert real and imaginary number in to a complex number. |
| + | |||
| + | ==ZOS Section== | ||
| + | *The syntax is to calculate product of the complex numbers in ZOS is <math>IMPRODUCT(Complexnumber1,Complexnumber2)</math> | ||
| + | **<math>Complexnumbers</math> are of the form <math>z=a+ib</math> | ||
| + | *For e.g., improduct("2+3i","4+5i","8+7i","10-14i") | ||
==Examples== | ==Examples== | ||
Revision as of 22:58, 25 June 2014
IMPRODUCT(Complexnumber1,Complexnumber2)
- are of the form
are of the form 
Description
- This function gives the product of the complex numbers.
- In , where Complexnumbers are in the form of 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+ib} .
- 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 a} & 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} are the real numbers. 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 .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 CALCI we can find the product of 2 to 29 Complex numbers.
- The multiplication of two complex numbers is a complex number.
- Let 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 z1=a+ib} 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 z2=c+id} .
- Then the product of two complex number is 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 z1.z2=(a+ib)(c+id)=(ac-bd)+(ad+bc)i} .
- In this function 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 z1} is required. 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 z2,z3,...} are optional.
- We can use COMPLEX function to convert real and imaginary number in to a complex number.
, where Complexnumbers are in the form of 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+ib}
.ZOS Section
- The syntax is to calculate product of the complex numbers in ZOS is 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 IMPRODUCT(Complexnumber1,Complexnumber2)}
- 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 Complexnumbers} are of 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+ib}
- For e.g., improduct("2+3i","4+5i","8+7i","10-14i")
Examples
- =IMPRODUCT("1+3i","5+2i") = -1+17i
- =IMPRODUCT("i","3-i") = 1+3i
- =IMPRODUCT("5","-2+4i") = -10+20i
- =IMPRODUCT("2+3i","4+6i","3+5i") = -150+22i
- =IMPRODUCT("-6-2i","-1-i") = 4+8i