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 | + | *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 15:38, 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 |