Difference between revisions of "Manuals/calci/QUATERNION"

Latest revision as of 16:06, 30 November 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:
$i^{2}=j^{2}=k^{2}=ijk=-1$ .
$i\cdot j$ = $k$ = $-j\cdot i$
$j\cdot k$ = $i$ = $-k\cdot j$
$k\cdot i$ = $j$ = $-i\cdot k$

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-quaternion
+<div style="font-size:30px">'''QUATERNION (a,b,c,d) '''</div><br/>
+*<math>a,b,c</math> and <math>d</math> are any real numbers.
+==Description==
+*This function shows the coefficient of the Quarternion.
+*In <math>QUATERNION (a,b,c,d)</math>,<math>a,b,c </math> and <math>d</math> 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:
+* <math>i^{2}=j^2=k^2=ijk= -1</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>k\sdot i </math> =<math>j</math> = <math> -i\sdot 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
+==Related Videos==
+{{#ev:youtube|v=ln3vI4JEArc|280|center|Quaternion}}
+==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 ]]