Difference between revisions of "Manuals/calci/ARGS"

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(Created page with "<div style="font-size:30px">'''ARGS (Arguments)'''</div><br/> *<math>Arguments</math> is any complex number. ==Description== *This function is showing the arguments of a comp...")
 
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*This function is showing the arguments of a complex numbers.
 
*This function is showing the arguments of a complex numbers.
 
*In <math>ARGS (Arguments)</math>,<math>Arguments</math> is any complex number.
 
*In <math>ARGS (Arguments)</math>,<math>Arguments</math> is any complex number.
*A complex number z is represented by <math>z=x+iy=|z|e^{i \theta}.
+
*A complex number z is represented by <math>z=x+iy=|z|e^{i \theta}</math>.
*where <math>|z|</math> is a positive real number called the complex modulus of z, and theta (sometimes also denoted phi) is a real number called the argument.  
+
*where <math>|z|</math> is a positive real number called the complex modulus of z, and <math>\theta</math>  is a real number called the argument.  
 
*The argument is sometimes also known as the phase or amplitude.
 
*The argument is sometimes also known as the phase or amplitude.
 
*i.e The angle from the positive axis to the line segment is called the Argument of a complex number.
 
*i.e The angle from the positive axis to the line segment is called the Argument of a complex number.
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*The argument of a complex number is calculated by <math>arg(z)= tan^{-1}(\frac{y}{x}) =\theta</math> in Radians.
 
*The argument of a complex number is calculated by <math>arg(z)= tan^{-1}(\frac{y}{x}) =\theta</math> in Radians.
 
*Here it is showing all the arguments values are showing separately like real and imaginary values.
 
*Here it is showing all the arguments values are showing separately like real and imaginary values.
 +
 +
==Examples==
 +
1.ARGS("2+3i")
 +
{| class="wikitable"
 +
|-
 +
| 2 || + || 3 || i
 +
|}
 +
2.ARGS("8-10i")
 +
{| class="wikitable"
 +
|-
 +
| 8 || - || 1 || 0 || i
 +
|}
 +
3.ARGS("45")
 +
{| class="wikitable"
 +
|-
 +
| 4 || 5
 +
|}
 +
4. ARGS("-56i")
 +
{| class="wikitable"
 +
|-
 +
| - || 5 || 6 ||i
 +
|}

Revision as of 16:38, 2 August 2017

ARGS (Arguments)


  • is any complex number.

Description

  • This function is showing the arguments of a complex numbers.
  • In , is any complex number.
  • A complex number z is represented by .
  • where is a positive real number called the complex modulus of z, and is a real number called the argument.
  • The argument is sometimes also known as the phase or amplitude.
  • i.e The angle from the positive axis to the line segment is called the Argument of a complex number.
  • So x and y are any real numbers and i is the imaginary value,.
  • The argument of a complex number is calculated by in Radians.
  • Here it is showing all the arguments values are showing separately like real and imaginary values.

Examples

1.ARGS("2+3i")

2 + 3 i

2.ARGS("8-10i")

8 - 1 0 i

3.ARGS("45")

4 5

4. ARGS("-56i")

- 5 6 i