Difference between revisions of "Manuals/calci/IMSUM"
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*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,...), where <math>z1,z2,...</math> are the complex number is of the form <math>a+ib</math>. | *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 <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. | ||
*Let <math>z1=a+ib</math> and <math>z2=c+id</math>. | *Let <math>z1=a+ib</math> and <math>z2=c+id</math>. | ||
Revision as of 22:55, 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 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.
- 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