Difference between revisions of "Manuals/calci/QUATERNION"
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*<math>i\sdot j </math> =<math>k</math> = <math> -j \sdot i </math> | *<math>i\sdot j </math> =<math>k</math> = <math> -j \sdot i </math> | ||
*<math>j\sdot k </math> =<math>i</math> =<math> -k\sdot j </math> | *<math>j\sdot k </math> =<math>i</math> =<math> -k\sdot j </math> | ||
| + | **<math>k\sdot i </math> =<math>j</math> = <math> -i\sdot k </math> | ||
Revision as of 13:44, 17 January 2018
QUATERNION (a,b,c,d)
- and are any real numbers.
and 
are any real numbers.Description
- This function shows the coefficient of the Quarternion.
- In , and are any real numbers.
- Quartenion is a complex number of the form w + xi + yj + zk, where w, x, y, z are real numbers and i, j, k are imaginary units.
- The imaginary units are satisfy certain conditions:
- .
- = =
- = =
- = =
,
.
=
= 
=
=
=
= 
- == Failed to parse (syntax error): {\displaystyle −j \sdot i} ,= = Failed to parse (syntax error): {\displaystyle −k\sdot j} , = = Failed to parse (syntax error): {\displaystyle −i \sdotk}
Examples
- QUATERNION(9,2,3,4) = 9 2 3 4
- QUATERNION(8,-2,4,-5) = 8 -2 4 -5
- QUATERNION(-9,-12,-16,-20) = -9 -12 -16 -20