Difference between revisions of "Manuals/calci/IMPRODUCT"
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| − | <div style="font-size:30px">'''IMPRODUCT( | + | <div style="font-size:30px">'''IMPRODUCT()'''</div><br/> |
| − | * | + | *Parameters are of the form <math>z=a+ib</math>. |
| + | **IMPRODUCT(),returns the product of from 2 to 29 complex numbers. | ||
| + | |||
==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()</math>, where parameters 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 | + | *In this function first parameter is required. From the second parameter are optional. |
| − | *We can use COMPLEX function to convert | + | *We can use [[Manuals/calci/COMPLEX| COMPLEX]] function to convert real and imaginary number in to a complex number. |
| + | |||
| + | ==ZOS== | ||
| + | *The syntax is to calculate product of the complex numbers in ZOS is <math>IMPRODUCT()</math> | ||
| + | **Parameters are of the form <math>z=a+ib</math> | ||
| + | *For e.g., IMPRODUCT("2+3i","4+5i","8+7i","10-14i") | ||
| + | {{#ev:youtube|TWYVYlQWIoc|280|center|Improduct}} | ||
==Examples== | ==Examples== | ||
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#=IMPRODUCT("2+3i","4+6i","3+5i") = -150+22i | #=IMPRODUCT("2+3i","4+6i","3+5i") = -150+22i | ||
#=IMPRODUCT("-6-2i","-1-i") = 4+8i | #=IMPRODUCT("-6-2i","-1-i") = 4+8i | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|cWn6g8Qqvs4|280|center|IMPRODUCT}} | ||
==See Also== | ==See Also== | ||
| Line 26: | Line 39: | ||
==References== | ==References== | ||
| − | [http://en.wikipedia.org/wiki/ | + | *[http://en.wikipedia.org/wiki/Imaginary_number Imaginary number] |
| + | *[http://en.wikipedia.org/wiki/Dot_product Dot product] | ||
| + | |||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 04:04, 2 November 2020
IMPRODUCT()
- Parameters are of the form .
- IMPRODUCT(),returns the product of from 2 to 29 complex numbers.
.
Description
- This function gives the product of the complex numbers.
- In , where parameters are in the form of .
- where & are the real numbers. is the imaginary unit ..
- In CALCI we can find the product of 2 to 29 Complex numbers.
- The multiplication of two complex numbers is a complex number.
- Let and .
- Then the product of two complex number is .
- In this function first parameter is required. From the second parameter are optional.
- We can use COMPLEX function to convert real and imaginary number in to a complex number.
, where parameters are in the form of 
& 
are the real numbers. 
is the imaginary unit .
.
and 
.
.ZOS
- The syntax is to calculate product of the complex numbers in ZOS is
- Parameters are of the form
- 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
Related Videos
See Also
References