Difference between revisions of "Manuals/calci/COMPLEX"

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<div style="font-size:30px">'''COMPLEX(real,imaginary,suffix)'''</div><br/>
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<div style="font-size:30px">'''COMPLEX (Real,Imaginary,Suffix)'''</div><br/>
  
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*<math>real</math> is the real part of the complex number.
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*<math>Real</math> is the real part of the complex number.
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*<math>imaginary</math> is the imaginary part of the complex number.
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*<math>Imaginary</math> is the imaginary part of the complex number.
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*<math>suffix</math> is the imaginary unit of the complex number.
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*<math>Suffix</math> is the imaginary unit of the complex number.
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**COMPLEX(), converts real and imaginary coefficients into a complex number.
  
 
==Description==
 
==Description==
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*For e.g. <math>{-4}^2 =16</math>. Because a negative times a negative is positive.
 
*For e.g. <math>{-4}^2 =16</math>. Because a negative times a negative is positive.
 
*A complex number is a number is  in the form <math> z = a + bi</math>, where <math>a</math> and <math>b</math> are real numbers and <math>i</math> is the imaginary unit. Where <math>i=\sqrt{-1}</math>
 
*A complex number is a number is  in the form <math> z = a + bi</math>, where <math>a</math> and <math>b</math> are real numbers and <math>i</math> is the imaginary unit. Where <math>i=\sqrt{-1}</math>
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*In <math>COMPLEX(real,imaginary,suffix)</math>, here <math>real</math> is the real part of the complex number, <math>imaginary</math> is the imaginary part of the complex number and <math>suffix</math> is the imaginary unit of a complex number like <math>i</math> or <math>j</math>.
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*In <math>COMPLEX(Real,Imaginary,Suffix)</math>, here <math>Real</math> is the real part of the complex number, <math>Imaginary</math> is the imaginary part of the complex number and <math>Suffix</math> is the imaginary unit of a complex number like <math>i</math> or <math>j</math>.
 
*To mention <math>i</math> and <math>j</math>, we must use the lower case only
 
*To mention <math>i</math> and <math>j</math>, we must use the lower case only
 
*In a complex number <math>z</math> real part is denoted by <math>Re(z)</math> & imaginary part is denoted by <math>Im(z)</math>.
 
*In a complex number <math>z</math> real part is denoted by <math>Re(z)</math> & imaginary part is denoted by <math>Im(z)</math>.
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*COMPLEX returns the error value, when <math>real</math> and <math>imaginary</math> are non-numeric.
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*COMPLEX returns the error value, when <math>Real</math> and <math>Imaginary</math> are non-numeric.
 
*<math>Suffix</math> should be either <math>i</math> or <math>j</math>, otherwise it shows error value.
 
*<math>Suffix</math> should be either <math>i</math> or <math>j</math>, otherwise it shows error value.
 
*A Complex number whose real part is zero is said to be purely imaginary.
 
*A Complex number whose real part is zero is said to be purely imaginary.

Revision as of 16:40, 11 July 2018

COMPLEX (Real,Imaginary,Suffix)


  • 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 Real} is the real part of the complex number.
  • 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 Imaginary} is the imaginary part of the complex number.
  • is the imaginary unit of the complex number.
    • COMPLEX(), converts real and imaginary coefficients into a complex number.

Description

  • COMPLEX function converts the real and imaginary coefficients into a complex number.
  • A complex number is a combination of a real and an imaginary number.
  • A number which is positive or negative, rational or irrational or decimals are called real numbers.
  • An Imaginary number is a number that when squring it gives a negative result.
  • For e.g. 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 {-4}^2 =16} . Because a negative times a negative is positive.
  • A complex number is a number is in 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 + bi} , 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} 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 b} are real numbers 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 i} is the imaginary unit. 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 i=\sqrt{-1}}
  • In 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 COMPLEX(Real,Imaginary,Suffix)} , here is the real part of the complex number, 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 Imaginary} is the imaginary part of the complex number 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 Suffix} is the imaginary unit of a complex number like 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} or 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 j} .
  • To mention 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} 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 j} , we must use the lower case only
  • In a complex number 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} real part is denoted by 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 Re(z)} & imaginary part is denoted by 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 Im(z)} .
  • COMPLEX returns the error value, when 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 Real} 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 Imaginary} are non-numeric.
  • 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 Suffix} should be either 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} or 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 j} , otherwise it shows error value.
  • A Complex number whose real part is zero is said to be purely imaginary.
  • A Complex number whose imaginary part is zero is a real number. In that cases we have to assign '0' for that part.
    • COMPLEX(5,2) gives 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 5+2i}
    • COMPLEX(5,2,"j") gives 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 5+2j}

ZOS

  • The syntax is to calculate COMPLEX 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 COMPLEX(REAL,IMAGINARY,SUFFIX)}
  • 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 REAL} is the real part.
  • 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 IMAGINARY} is the imaginary part.
  • 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 SUFFIX} is imaginary unit which is either "i" or "j".
  • E.x: COMPLEX(-1..1,10..11,"j")
Complex Number

Examples

Complex(real,imaginary,suffix) rn in sf RESULT
Complex(5,6) 5 6 5+6i
Complex(5,2,"j") 5 2 j 5+2j
Complex(2,0,"i") 2 0 i 2+0i
Complex(0,-4,"i") 0 -4 i 0 + -4i
Complex(5,"j") 5 j Error

Related Videos

Complex Numbers

See Also

References



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