Difference between revisions of "Manuals/calci/QUATERNION"
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*The imaginary units are satisfy certain conditions: | *The imaginary units are satisfy certain conditions: | ||
* <math>i^{2}=j^2=k^2=ijk= -1</math>. | * <math>i^{2}=j^2=k^2=ijk= -1</math>. | ||
| − | *<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> | ||
Revision as of 13:43, 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 (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 \sdotk}
= 
= 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 \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