Difference between revisions of "Manuals/calci/IMSUM"
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==Description== | ==Description== | ||
*This function gives the sum of the two or more complex numbers. | *This function gives the sum of the two or more complex numbers. | ||
| − | *IMSUM(z1,z2, | + | *IMSUM(z1,z2,...), where <math>z1,z2,...</math> are the complex number is of the form <math>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 this function z1 is required. z2,z3 | + | *In this function z1 is required. z2,z3... are optional. |
| − | *Let z1=a+ib and z2=c+id. | + | *Let <math>z1=a+ib</math> and <math>z2=c+id</math>. |
| − | *The addition of two complex number is:<math>(a+ib)+(c+id)=(a+c)+(b+d)i </math> where a,b,c and d are real numbers. | + | *The addition of two complex number is:<math>(a+ib)+(c+id)=(a+c)+(b+d)i </math> where <math>a,b,c</math> and <math>d </math>are real numbers. |
*We can use COMPLEX function to convert real and imaginary number in to a complex number. | *We can use COMPLEX function to convert real and imaginary number in to a complex number. | ||
Revision as of 22:50, 25 December 2013
IMSUM(z1,z2,z3...)
- 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,z3} are the complex numbers is 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 a+ib}
Description
- This function gives the sum of the two or more complex numbers.
- IMSUM(z1,z2,...), 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 z1,z2,...} are the complex number is 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 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 ..
- In this function z1 is required. z2,z3... are optional.
- 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} .
- The addition 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 (a+ib)+(c+id)=(a+c)+(b+d)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 a,b,c} 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 d } are real numbers.
- We can use COMPLEX function to convert real and imaginary number in to a complex number.
.Examples
- IMSUM("12+10i","8+16i")=20+26i
- IMSUM("-7-12i","-10-4i")=-17-16i
- IMSUM("-14i","10-4i")=10-18i
- IMSUM("17","24+12i")=41+12i
- IMSUM("12+10i","8+16i","5+2i")=25+28i