Difference between revisions of "Manuals/calci/QUATERNION"

Revision as of 13:38, 17 January 2018

QUATERNION (a,b,c,d)

This function shows the coefficient of the Quarternion.
In $QUATERNION(a,b,c,d)$ , $a,b,c$ and $d$ 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:
$i^{2}=j^{2}=k^{2}=ijk=-1$ .
$i\cdot j$ = $k$ = Failed to parse (syntax error): {\displaystyle −j \sdoti} , $j\cdot k$ = $i$ = 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 −k\sdot j} , $k\cdot i$ = $j$ = 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}

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 *The imaginary units are  satisfy certain conditions:
 * <math>i^{2}=j^2=k^2=ijk= -1</math>.
-*<math>i\sdot j </math> =<math>k</math>= −j*i</math>,<math>j*k = i = −k*j</math>, <math>k*i = j = −i*k</math>
+*<math>i\sdot j </math> =<math>k</math>= <math> −j \sdoti</math>,<math>j\sdot k </math>= <math>i</math> = <math>−k\sdot j</math>, <math>k \sdot i</math> = <math>j</math> = <math> −i \sdotk</math>
 ==Examples==