Difference between revisions of "Manuals/calci/QUATERNION"

Revision as of 13:00, 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 (syntax error): {\displaystyle j*k = i = −k*j} , Failed to parse (syntax error): {\displaystyle k*i = j = −i*k}

@@ Line 9: / Line 9: @@
 *<math>i^2=j^2=k^2=ijk= -1</math>.
 *<math>i*j =k=−j*i</math>,<math>j*k = i = −k*j</math>, <math>k*i = j = −i*k</math>
+==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
+==See Also==
+*[[Manuals/calci/QUARTILE  | QUARTILE ]]
+*[[Manuals/calci/TOQUARTER  | TOQUARTER ]]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]
+==References==
+[http://math.ucr.edu/~huerta/introquaternions.pdf Quartenion]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]