Difference between revisions of "Manuals/calci/QUATERNION"

Revision as of 12:38, 5 April 2017

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:
$i^{2}=j^{2}=k^{2}=ijk=-1$ .
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*j =k=−j*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 j*k = i = −k*j} , Failed to parse (syntax error): {\displaystyle k*i = j = −i*k}

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 *The imaginary units are  satisfy certain conditions:
 *<math>i^2=j^2=k^2=ijk= -1</math>.
-*<math>ij =k=−ji</math>,<math>jk = i = −kj</math>, <math>ki = j = −ik</math>
+*<math>i*j =k=−j*i</math>,<math>j*k = i = −k*j</math>, <math>k*i = j = −i*k</math>