Manuals/calci/QUATERNION

QUATERNION (a,b,c,d)

• $a,b,c$ and $d$ are any real numbers.

Description

• 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:
• $i^{2}=j^{2}=k^{2}=ijk=-1$.
• $i\cdot j$ =$k$ = $-j\cdot i$
• $j\cdot k$ =$i$ =$-k\cdot j$
  • $k\cdot i$ =$j$ = $-i\cdot k$

• $i\cdot j$ =$k$= 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 \sdot i} ,$j\cdot k$= $i$ = Failed to parse (syntax error): {\displaystyle −k\sdot j} , $k\cdot i$ = $j$ = Failed to parse (syntax error): {\displaystyle −i \sdotk}

Examples

1. QUATERNION(9,2,3,4) = 9 2 3 4
2. QUATERNION(8,-2,4,-5) = 8 -2 4 -5
3. QUATERNION(-9,-12,-16,-20) = -9 -12 -16 -20

See Also

• QUARTILE
• TOQUARTER
• List of Main Z Functions
• Z3 home

References

Quartenion

• List of Main Z Functions
• Z3 home